TSTP Solution File: SWV421-1.065 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV421-1.065 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 15:11:56 EDT 2022
% Result : Unsatisfiable 0.59s 0.63s
% Output : Proof 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV421-1.065 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Sep 4 02:54:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 0.59/0.63 % SZS status Unsatisfiable
% 0.59/0.63 % SZS output start Proof
% 0.59/0.63 tff(always19_type, type, (
% 0.59/0.63 always19: $i > $o)).
% 0.59/0.63 tff(s44_type, type, (
% 0.59/0.63 s44: $i)).
% 0.59/0.63 tff(s45_type, type, (
% 0.59/0.63 s45: $i)).
% 0.59/0.63 tff(s46_type, type, (
% 0.59/0.63 s46: $i)).
% 0.59/0.63 tff(m_main_v_state1_type, type, (
% 0.59/0.63 m_main_v_state1: ( $i * $i ) > $o)).
% 0.59/0.63 tff(c_c1_type, type, (
% 0.59/0.63 c_c1: $i)).
% 0.59/0.63 tff(node3_type, type, (
% 0.59/0.63 node3: $i > $o)).
% 0.59/0.63 tff(m_main_v_state2_type, type, (
% 0.59/0.63 m_main_v_state2: ( $i * $i ) > $o)).
% 0.59/0.63 tff(c_c2_type, type, (
% 0.59/0.63 c_c2: $i)).
% 0.59/0.63 tff(c_n2_type, type, (
% 0.59/0.63 c_n2: $i)).
% 0.59/0.63 tff(node12_type, type, (
% 0.59/0.63 node12: $i > $o)).
% 0.59/0.63 tff(c_t2_type, type, (
% 0.59/0.63 c_t2: $i)).
% 0.59/0.63 tff(node9_type, type, (
% 0.59/0.63 node9: $i > $o)).
% 0.59/0.63 tff(s43_type, type, (
% 0.59/0.63 s43: $i)).
% 0.59/0.63 tff(node13_type, type, (
% 0.59/0.63 node13: ( $i * $i ) > $o)).
% 0.59/0.63 tff(s42_type, type, (
% 0.59/0.63 s42: $i)).
% 0.59/0.63 tff(m_main_v_turn_type, type, (
% 0.59/0.63 m_main_v_turn: ( $i * $i ) > $o)).
% 0.59/0.63 tff(c_2_type, type, (
% 0.59/0.63 c_2: $i)).
% 0.59/0.63 tff(c_1_type, type, (
% 0.59/0.63 c_1: $i)).
% 0.59/0.63 tff(c_t1_type, type, (
% 0.59/0.63 c_t1: $i)).
% 0.59/0.63 tff(s41_type, type, (
% 0.59/0.63 s41: $i)).
% 0.59/0.63 tff(node6_type, type, (
% 0.59/0.63 node6: ( $i * $i ) > $o)).
% 0.59/0.63 tff(s40_type, type, (
% 0.59/0.63 s40: $i)).
% 0.59/0.63 tff(node1_type, type, (
% 0.59/0.63 node1: $i > $o)).
% 0.59/0.63 tff(c_n1_type, type, (
% 0.59/0.63 c_n1: $i)).
% 0.59/0.63 tff(s39_type, type, (
% 0.59/0.63 s39: $i)).
% 0.59/0.63 tff(node5_type, type, (
% 0.59/0.63 node5: $i > $o)).
% 0.59/0.63 tff(s38_type, type, (
% 0.59/0.63 s38: $i)).
% 0.59/0.63 tff(s37_type, type, (
% 0.59/0.63 s37: $i)).
% 0.59/0.63 tff(s36_type, type, (
% 0.59/0.63 s36: $i)).
% 0.59/0.63 tff(s35_type, type, (
% 0.59/0.63 s35: $i)).
% 0.59/0.63 tff(s34_type, type, (
% 0.59/0.63 s34: $i)).
% 0.59/0.63 tff(s33_type, type, (
% 0.59/0.63 s33: $i)).
% 0.59/0.63 tff(s32_type, type, (
% 0.59/0.63 s32: $i)).
% 0.59/0.63 tff(s31_type, type, (
% 0.59/0.63 s31: $i)).
% 0.59/0.63 tff(s30_type, type, (
% 0.59/0.63 s30: $i)).
% 0.59/0.63 tff(s29_type, type, (
% 0.59/0.63 s29: $i)).
% 0.59/0.63 tff(s28_type, type, (
% 0.59/0.63 s28: $i)).
% 0.59/0.63 tff(s27_type, type, (
% 0.59/0.63 s27: $i)).
% 0.59/0.63 tff(s26_type, type, (
% 0.59/0.63 s26: $i)).
% 0.59/0.63 tff(s25_type, type, (
% 0.59/0.63 s25: $i)).
% 0.59/0.63 tff(s24_type, type, (
% 0.59/0.63 s24: $i)).
% 0.59/0.63 tff(s23_type, type, (
% 0.59/0.63 s23: $i)).
% 0.59/0.63 tff(s22_type, type, (
% 0.59/0.63 s22: $i)).
% 0.59/0.63 tff(s21_type, type, (
% 0.59/0.63 s21: $i)).
% 0.59/0.63 tff(s20_type, type, (
% 0.59/0.63 s20: $i)).
% 0.59/0.63 tff(s19_type, type, (
% 0.59/0.63 s19: $i)).
% 0.59/0.63 tff(s18_type, type, (
% 0.59/0.63 s18: $i)).
% 0.59/0.63 tff(s17_type, type, (
% 0.59/0.63 s17: $i)).
% 0.59/0.63 tff(s16_type, type, (
% 0.59/0.63 s16: $i)).
% 0.59/0.63 tff(s15_type, type, (
% 0.59/0.63 s15: $i)).
% 0.59/0.63 tff(s14_type, type, (
% 0.59/0.63 s14: $i)).
% 0.59/0.63 tff(s13_type, type, (
% 0.59/0.63 s13: $i)).
% 0.59/0.63 tff(s12_type, type, (
% 0.59/0.63 s12: $i)).
% 0.59/0.63 tff(s11_type, type, (
% 0.59/0.63 s11: $i)).
% 0.59/0.63 tff(s10_type, type, (
% 0.59/0.63 s10: $i)).
% 0.59/0.63 tff(s9_type, type, (
% 0.59/0.63 s9: $i)).
% 0.59/0.63 tff(s8_type, type, (
% 0.59/0.63 s8: $i)).
% 0.59/0.63 tff(s7_type, type, (
% 0.59/0.63 s7: $i)).
% 0.59/0.63 tff(s6_type, type, (
% 0.59/0.63 s6: $i)).
% 0.59/0.63 tff(s5_type, type, (
% 0.59/0.63 s5: $i)).
% 0.59/0.63 tff(s4_type, type, (
% 0.59/0.63 s4: $i)).
% 0.59/0.63 tff(s3_type, type, (
% 0.59/0.63 s3: $i)).
% 0.59/0.63 tff(s2_type, type, (
% 0.59/0.63 s2: $i)).
% 0.59/0.63 tff(s1_type, type, (
% 0.59/0.63 s1: $i)).
% 0.59/0.63 tff(node8_type, type, (
% 0.59/0.63 node8: $i > $o)).
% 0.59/0.63 tff(s0_type, type, (
% 0.59/0.63 s0: $i)).
% 0.59/0.63 tff(node14_type, type, (
% 0.59/0.63 node14: ( $i * $i ) > $o)).
% 0.59/0.63 tff(trans_type, type, (
% 0.59/0.63 trans: ( $i * $i ) > $o)).
% 0.59/0.63 tff(succ_type, type, (
% 0.59/0.63 succ: ( $i * $i ) > $o)).
% 0.59/0.63 tff(node17_type, type, (
% 0.59/0.63 node17: ( $i * $i ) > $o)).
% 0.59/0.63 tff(node15_type, type, (
% 0.59/0.63 node15: $i > $o)).
% 0.59/0.63 tff(node16_type, type, (
% 0.59/0.63 node16: $i > $o)).
% 0.59/0.63 tff(node18_type, type, (
% 0.59/0.63 node18: ( $i * $i ) > $o)).
% 0.59/0.63 tff(node11_type, type, (
% 0.59/0.63 node11: $i > $o)).
% 0.59/0.63 tff(node7_type, type, (
% 0.59/0.63 node7: ( $i * $i ) > $o)).
% 0.59/0.63 tff(node10_type, type, (
% 0.59/0.63 node10: $i > $o)).
% 0.59/0.63 tff(node4_type, type, (
% 0.59/0.63 node4: $i > $o)).
% 0.59/0.63 tff(node2_type, type, (
% 0.59/0.63 node2: $i > $o)).
% 0.59/0.63 tff(s64_type, type, (
% 0.59/0.63 s64: $i)).
% 0.59/0.63 tff(node20_type, type, (
% 0.59/0.63 node20: $i > $o)).
% 0.59/0.63 tff(xuntil22_type, type, (
% 0.59/0.63 xuntil22: $i > $o)).
% 0.59/0.63 tff(until21_type, type, (
% 0.59/0.63 until21: $i > $o)).
% 0.59/0.63 tff(s63_type, type, (
% 0.59/0.63 s63: $i)).
% 0.59/0.63 tff(s62_type, type, (
% 0.59/0.63 s62: $i)).
% 0.59/0.63 tff(s61_type, type, (
% 0.59/0.63 s61: $i)).
% 0.59/0.63 tff(s60_type, type, (
% 0.59/0.63 s60: $i)).
% 0.59/0.63 tff(s59_type, type, (
% 0.59/0.63 s59: $i)).
% 0.59/0.63 tff(s58_type, type, (
% 0.59/0.63 s58: $i)).
% 0.59/0.63 tff(s57_type, type, (
% 0.59/0.63 s57: $i)).
% 0.59/0.63 tff(s56_type, type, (
% 0.59/0.63 s56: $i)).
% 0.59/0.63 tff(s55_type, type, (
% 0.59/0.63 s55: $i)).
% 0.59/0.63 tff(s54_type, type, (
% 0.59/0.63 s54: $i)).
% 0.59/0.63 tff(s53_type, type, (
% 0.59/0.63 s53: $i)).
% 0.59/0.63 tff(s52_type, type, (
% 0.59/0.63 s52: $i)).
% 0.59/0.63 tff(s51_type, type, (
% 0.59/0.63 s51: $i)).
% 0.59/0.63 tff(s50_type, type, (
% 0.59/0.63 s50: $i)).
% 0.59/0.63 tff(s49_type, type, (
% 0.59/0.63 s49: $i)).
% 0.59/0.63 tff(s48_type, type, (
% 0.59/0.63 s48: $i)).
% 0.59/0.63 tff(s47_type, type, (
% 0.59/0.63 s47: $i)).
% 0.59/0.63 tff(until2p23_type, type, (
% 0.59/0.63 until2p23: $i > $o)).
% 0.59/0.63 tff(xuntil2p24_type, type, (
% 0.59/0.63 xuntil2p24: $i > $o)).
% 0.59/0.63 tff(last_type, type, (
% 0.59/0.63 last: $i > $o)).
% 0.59/0.63 tff(loop_type, type, (
% 0.59/0.63 loop: $o)).
% 0.59/0.63 tff(1,plain,
% 0.59/0.63 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(2,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_11')).
% 0.59/0.63 tff(3,plain,
% 0.59/0.63 (m_main_v_state1(s0, c_n1)),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.59/0.63 tff(4,plain,
% 0.59/0.63 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))))),
% 0.59/0.63 inference(bind,[status(th)],[])).
% 0.59/0.63 tff(5,plain,
% 0.59/0.63 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.59/0.63 inference(quant_intro,[status(thm)],[4])).
% 0.59/0.63 tff(6,plain,
% 0.59/0.63 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(7,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_2')).
% 0.59/0.63 tff(8,plain,
% 0.59/0.63 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.59/0.63 tff(9,plain,(
% 0.59/0.63 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.59/0.63 inference(skolemize,[status(sab)],[8])).
% 0.59/0.63 tff(10,plain,
% 0.59/0.63 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.59/0.63 tff(11,plain,
% 0.59/0.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(12,plain,
% 0.59/0.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 0.59/0.63 inference(quant_inst,[status(thm)],[])).
% 0.59/0.63 tff(13,plain,
% 0.59/0.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.59/0.63 tff(14,plain,
% 0.59/0.63 (~m_main_v_state1(s0, c_t1)),
% 0.59/0.63 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.59/0.63 tff(15,plain,
% 0.59/0.63 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 0.59/0.63 inference(bind,[status(th)],[])).
% 0.59/0.63 tff(16,plain,
% 0.59/0.63 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.59/0.63 inference(quant_intro,[status(thm)],[15])).
% 0.59/0.63 tff(17,plain,
% 0.59/0.63 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(18,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_36')).
% 0.59/0.63 tff(19,plain,
% 0.59/0.63 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.59/0.63 tff(20,plain,(
% 0.59/0.63 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.59/0.63 inference(skolemize,[status(sab)],[19])).
% 0.59/0.63 tff(21,plain,
% 0.59/0.63 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.59/0.63 tff(22,plain,
% 0.59/0.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(23,plain,
% 0.59/0.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 0.59/0.63 inference(quant_inst,[status(thm)],[])).
% 0.59/0.63 tff(24,plain,
% 0.59/0.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.61/0.63 tff(25,plain,
% 0.61/0.63 (~node8(s0)),
% 0.61/0.63 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 0.61/0.63 tff(26,plain,
% 0.61/0.63 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 0.61/0.63 inference(bind,[status(th)],[])).
% 0.61/0.63 tff(27,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.61/0.63 inference(quant_intro,[status(thm)],[26])).
% 0.61/0.63 tff(28,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.61/0.63 inference(rewrite,[status(thm)],[])).
% 0.61/0.63 tff(29,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 0.61/0.63 tff(30,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.61/0.63 tff(31,plain,(
% 0.61/0.63 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.61/0.63 inference(skolemize,[status(sab)],[30])).
% 0.61/0.63 tff(32,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.61/0.63 tff(33,plain,
% 0.61/0.63 (succ(s0, s1) <=> succ(s0, s1)),
% 0.61/0.63 inference(rewrite,[status(thm)],[])).
% 0.61/0.63 tff(34,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 0.61/0.63 tff(35,plain,
% 0.61/0.63 (succ(s0, s1)),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.61/0.63 tff(36,plain,
% 0.61/0.63 (((~![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))),
% 0.61/0.63 inference(rewrite,[status(thm)],[])).
% 0.61/0.63 tff(37,plain,
% 0.61/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 0.61/0.63 inference(quant_inst,[status(thm)],[])).
% 0.61/0.63 tff(38,plain,
% 0.61/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.61/0.63 tff(39,plain,
% 0.61/0.63 (trans(s0, s1)),
% 0.61/0.63 inference(unit_resolution,[status(thm)],[38, 35, 32])).
% 0.61/0.63 tff(40,plain,
% 0.61/0.63 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 0.61/0.63 inference(bind,[status(th)],[])).
% 0.61/0.63 tff(41,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.61/0.63 inference(quant_intro,[status(thm)],[40])).
% 0.61/0.63 tff(42,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.61/0.63 inference(rewrite,[status(thm)],[])).
% 0.61/0.63 tff(43,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_55')).
% 0.61/0.63 tff(44,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.61/0.63 tff(45,plain,(
% 0.61/0.63 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.61/0.63 inference(skolemize,[status(sab)],[44])).
% 0.61/0.63 tff(46,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.61/0.63 tff(47,plain,
% 0.61/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1))),
% 0.61/0.63 inference(rewrite,[status(thm)],[])).
% 0.61/0.63 tff(48,plain,
% 0.61/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 0.61/0.63 inference(quant_inst,[status(thm)],[])).
% 0.61/0.63 tff(49,plain,
% 0.61/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.61/0.63 tff(50,plain,
% 0.61/0.63 (node14(s0, s1)),
% 0.61/0.63 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 0.61/0.63 tff(51,plain,
% 0.61/0.63 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 0.61/0.63 inference(bind,[status(th)],[])).
% 0.61/0.63 tff(52,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.61/0.63 inference(quant_intro,[status(thm)],[51])).
% 0.61/0.63 tff(53,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.61/0.63 inference(rewrite,[status(thm)],[])).
% 0.61/0.63 tff(54,plain,
% 0.61/0.63 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 0.61/0.63 inference(bind,[status(th)],[])).
% 0.61/0.63 tff(55,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.61/0.63 inference(quant_intro,[status(thm)],[54])).
% 0.61/0.63 tff(56,axiom,(![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_49')).
% 0.61/0.63 tff(57,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.61/0.63 tff(58,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[57, 53])).
% 0.61/0.63 tff(59,plain,(
% 0.61/0.63 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.61/0.63 inference(skolemize,[status(sab)],[58])).
% 0.61/0.63 tff(60,plain,
% 0.61/0.63 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[59, 52])).
% 0.61/0.63 tff(61,plain,
% 0.61/0.63 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 0.61/0.63 inference(rewrite,[status(thm)],[])).
% 0.61/0.63 tff(62,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_12')).
% 0.61/0.63 tff(63,plain,
% 0.61/0.63 (m_main_v_state2(s0, c_n2)),
% 0.61/0.63 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.61/0.63 tff(64,plain,
% 0.61/0.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(65,plain,
% 0.61/0.64 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(66,plain,
% 0.61/0.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))))),
% 0.61/0.64 inference(monotonicity,[status(thm)],[65])).
% 0.61/0.64 tff(67,plain,
% 0.61/0.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 0.61/0.64 inference(transitivity,[status(thm)],[66, 64])).
% 0.61/0.64 tff(68,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(69,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.61/0.64 tff(70,plain,
% 0.61/0.64 (m_main_v_state2(s1, c_t2)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[69, 3, 63, 60, 50, 25])).
% 0.61/0.64 tff(71,plain,
% 0.61/0.64 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(72,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[71])).
% 0.61/0.64 tff(73,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(74,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 0.61/0.64 tff(75,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.61/0.64 tff(76,plain,(
% 0.61/0.64 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[75])).
% 0.61/0.64 tff(77,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[76, 72])).
% 0.61/0.64 tff(78,plain,
% 0.61/0.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(79,plain,
% 0.61/0.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(80,plain,
% 0.61/0.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.61/0.64 tff(81,plain,
% 0.61/0.64 (~m_main_v_state2(s1, c_n2)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[80, 77, 70])).
% 0.61/0.64 tff(82,plain,
% 0.61/0.64 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(83,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[82])).
% 0.61/0.64 tff(84,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(85,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_37')).
% 0.61/0.64 tff(86,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.61/0.64 tff(87,plain,(
% 0.61/0.64 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[86])).
% 0.61/0.64 tff(88,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.61/0.64 tff(89,plain,
% 0.61/0.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(90,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(91,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.61/0.64 tff(92,plain,
% 0.61/0.64 (~node9(s1)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[91, 88, 81])).
% 0.61/0.64 tff(93,plain,
% 0.61/0.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(94,plain,
% 0.61/0.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(95,plain,
% 0.61/0.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.61/0.64 tff(96,plain,
% 0.61/0.64 (~m_main_v_state2(s0, c_t2)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[95, 77, 63])).
% 0.61/0.64 tff(97,plain,
% 0.61/0.64 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(98,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[97])).
% 0.61/0.64 tff(99,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(100,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_57')).
% 0.61/0.64 tff(101,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.61/0.64 tff(102,plain,(
% 0.61/0.64 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[101])).
% 0.61/0.64 tff(103,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.61/0.64 tff(104,plain,
% 0.61/0.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(105,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(106,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.61/0.64 tff(107,plain,
% 0.61/0.64 (~node15(s0)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[106, 103, 96])).
% 0.61/0.64 tff(108,plain,
% 0.61/0.64 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(109,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[108])).
% 0.61/0.64 tff(110,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(111,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_59')).
% 0.61/0.64 tff(112,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.61/0.64 tff(113,plain,(
% 0.61/0.64 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[112])).
% 0.61/0.64 tff(114,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.61/0.64 tff(115,plain,
% 0.61/0.64 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(116,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(117,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.61/0.64 tff(118,plain,
% 0.61/0.64 (~node16(s0)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[117, 114, 14])).
% 0.61/0.64 tff(119,plain,
% 0.61/0.64 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(120,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[119])).
% 0.61/0.64 tff(121,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(122,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_65')).
% 0.61/0.64 tff(123,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.61/0.64 tff(124,plain,(
% 0.61/0.64 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.61/0.64 inference(skolemize,[status(sab)],[123])).
% 0.61/0.64 tff(125,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.61/0.64 tff(126,plain,
% 0.61/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(127,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(128,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.61/0.64 tff(129,plain,
% 0.61/0.64 (node18(s0, s1)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[128, 125, 39])).
% 0.61/0.64 tff(130,plain,
% 0.61/0.64 (^[Y: $i, X: $i] : refl((node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(131,plain,
% 0.61/0.64 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[130])).
% 0.61/0.64 tff(132,plain,
% 0.61/0.64 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(133,plain,
% 0.61/0.64 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((node15(X) | node16(X)) | node17(X, Y)) <=> (node15(X) | node16(X) | node17(X, Y))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))))), rewrite(((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(134,plain,
% 0.61/0.64 (![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[133])).
% 0.61/0.64 tff(135,axiom,(![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_64')).
% 0.61/0.64 tff(136,plain,
% 0.61/0.64 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.61/0.64 tff(137,plain,
% 0.61/0.64 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[136, 132])).
% 0.61/0.64 tff(138,plain,(
% 0.61/0.64 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[137])).
% 0.61/0.64 tff(139,plain,
% 0.61/0.64 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[138, 131])).
% 0.61/0.64 tff(140,plain,
% 0.61/0.64 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(141,plain,
% 0.61/0.64 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(142,plain,
% 0.61/0.64 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))))),
% 0.61/0.64 inference(monotonicity,[status(thm)],[141])).
% 0.61/0.64 tff(143,plain,
% 0.61/0.64 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.61/0.64 inference(transitivity,[status(thm)],[142, 140])).
% 0.61/0.64 tff(144,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(145,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.61/0.64 tff(146,plain,
% 0.61/0.64 (node17(s0, s1)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[145, 139, 129, 118, 107])).
% 0.61/0.64 tff(147,plain,
% 0.61/0.64 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(148,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_13')).
% 0.61/0.64 tff(149,plain,
% 0.61/0.64 (m_main_v_turn(s0, c_1)),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.61/0.64 tff(150,plain,
% 0.61/0.64 (^[X: $i] : refl(((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(151,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[150])).
% 0.61/0.64 tff(152,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(153,axiom,(![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_10')).
% 0.61/0.64 tff(154,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.61/0.64 tff(155,plain,(
% 0.61/0.64 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[154])).
% 0.61/0.64 tff(156,plain,
% 0.61/0.64 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[155, 151])).
% 0.61/0.64 tff(157,plain,
% 0.61/0.64 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(158,plain,
% 0.61/0.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(159,plain,
% 0.61/0.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.61/0.64 tff(160,plain,
% 0.61/0.64 (~m_main_v_turn(s0, c_2)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[159, 156, 149])).
% 0.61/0.64 tff(161,plain,
% 0.61/0.64 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(162,plain,
% 0.61/0.64 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[161])).
% 0.61/0.64 tff(163,plain,
% 0.61/0.64 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(164,plain,
% 0.61/0.64 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(165,plain,
% 0.61/0.64 (![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[164])).
% 0.61/0.64 tff(166,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_61')).
% 0.61/0.64 tff(167,plain,
% 0.61/0.64 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.61/0.64 tff(168,plain,
% 0.61/0.64 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[167, 163])).
% 0.61/0.64 tff(169,plain,(
% 0.61/0.64 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[168])).
% 0.61/0.64 tff(170,plain,
% 0.61/0.64 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[169, 162])).
% 0.61/0.64 tff(171,plain,
% 0.61/0.64 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(172,plain,
% 0.61/0.64 (((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2))) <=> (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(173,plain,
% 0.61/0.64 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))))),
% 0.61/0.64 inference(monotonicity,[status(thm)],[172])).
% 0.61/0.64 tff(174,plain,
% 0.61/0.64 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 0.61/0.64 inference(transitivity,[status(thm)],[173, 171])).
% 0.61/0.64 tff(175,plain,
% 0.61/0.64 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(176,plain,
% 0.61/0.64 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.61/0.64 tff(177,plain,
% 0.61/0.64 (~m_main_v_turn(s1, c_2)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[176, 170, 160, 146])).
% 0.61/0.64 tff(178,plain,
% 0.61/0.64 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(179,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[178])).
% 0.61/0.64 tff(180,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(181,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_45')).
% 0.61/0.64 tff(182,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.61/0.64 tff(183,plain,(
% 0.61/0.64 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[182])).
% 0.61/0.64 tff(184,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[183, 179])).
% 0.61/0.64 tff(185,plain,
% 0.61/0.64 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(186,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(187,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.61/0.64 tff(188,plain,
% 0.61/0.64 (~node12(s1)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 0.61/0.64 tff(189,plain,
% 0.61/0.64 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(190,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[189])).
% 0.61/0.64 tff(191,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_15')).
% 0.61/0.64 tff(193,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.61/0.64 tff(194,plain,(
% 0.61/0.64 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.61/0.64 inference(skolemize,[status(sab)],[193])).
% 0.61/0.64 tff(195,plain,
% 0.61/0.64 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[194, 190])).
% 0.61/0.64 tff(196,plain,
% 0.61/0.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(197,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(198,plain,
% 0.61/0.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.61/0.64 tff(199,plain,
% 0.61/0.64 (~node1(s0)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[198, 195, 96])).
% 0.61/0.64 tff(200,plain,
% 0.61/0.64 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(201,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.61/0.64 inference(quant_intro,[status(thm)],[200])).
% 0.61/0.64 tff(202,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(203,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_34')).
% 0.61/0.64 tff(204,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.61/0.64 tff(205,plain,(
% 0.61/0.64 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.61/0.64 inference(skolemize,[status(sab)],[204])).
% 0.61/0.64 tff(206,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[205, 201])).
% 0.61/0.64 tff(207,plain,
% 0.61/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1))),
% 0.61/0.64 inference(rewrite,[status(thm)],[])).
% 0.61/0.64 tff(208,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 0.61/0.64 inference(quant_inst,[status(thm)],[])).
% 0.61/0.64 tff(209,plain,
% 0.61/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 0.61/0.64 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.61/0.64 tff(210,plain,
% 0.61/0.64 (node7(s0, s1)),
% 0.61/0.64 inference(unit_resolution,[status(thm)],[209, 206, 39])).
% 0.61/0.64 tff(211,plain,
% 0.61/0.64 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 0.61/0.64 inference(bind,[status(th)],[])).
% 0.61/0.64 tff(212,plain,
% 0.61/0.64 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[211])).
% 0.61/0.65 tff(213,plain,
% 0.61/0.65 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(214,plain,
% 0.61/0.65 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(215,plain,
% 0.61/0.65 (![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[214])).
% 0.61/0.65 tff(216,axiom,(![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_28')).
% 0.61/0.65 tff(217,plain,
% 0.61/0.65 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.61/0.65 tff(218,plain,
% 0.61/0.65 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[217, 213])).
% 0.61/0.65 tff(219,plain,(
% 0.61/0.65 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.65 inference(skolemize,[status(sab)],[218])).
% 0.61/0.65 tff(220,plain,
% 0.61/0.65 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[219, 212])).
% 0.61/0.65 tff(221,plain,
% 0.61/0.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(222,plain,
% 0.61/0.65 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(223,plain,
% 0.61/0.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))))),
% 0.61/0.65 inference(monotonicity,[status(thm)],[222])).
% 0.61/0.65 tff(224,plain,
% 0.61/0.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 0.61/0.65 inference(transitivity,[status(thm)],[223, 221])).
% 0.61/0.65 tff(225,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(226,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.61/0.65 tff(227,plain,
% 0.61/0.65 (m_main_v_state1(s1, c_t1)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[226, 3, 63, 220, 210, 199])).
% 0.61/0.65 tff(228,plain,
% 0.61/0.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(229,plain,
% 0.61/0.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(230,plain,
% 0.61/0.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.61/0.65 tff(231,plain,
% 0.61/0.65 (~m_main_v_state1(s1, c_n1)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[230, 10, 227])).
% 0.61/0.65 tff(232,plain,
% 0.61/0.65 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(233,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[232])).
% 0.61/0.65 tff(234,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(235,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_42')).
% 0.61/0.65 tff(236,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.61/0.65 tff(237,plain,(
% 0.61/0.65 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.61/0.65 inference(skolemize,[status(sab)],[236])).
% 0.61/0.65 tff(238,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[237, 233])).
% 0.61/0.65 tff(239,plain,
% 0.61/0.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(240,plain,
% 0.61/0.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(241,plain,
% 0.61/0.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.61/0.65 tff(242,plain,
% 0.61/0.65 (~node11(s1)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[241, 238, 231])).
% 0.61/0.65 tff(243,plain,
% 0.61/0.65 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(244,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[243])).
% 0.61/0.65 tff(245,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(246,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_39')).
% 0.61/0.65 tff(247,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.61/0.65 tff(248,plain,(
% 0.61/0.65 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.61/0.65 inference(skolemize,[status(sab)],[247])).
% 0.61/0.65 tff(249,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[248, 244])).
% 0.61/0.65 tff(250,plain,
% 0.61/0.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(251,plain,
% 0.61/0.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(252,plain,
% 0.61/0.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.61/0.65 tff(253,plain,
% 0.61/0.65 (~node10(s1)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[252, 249, 81])).
% 0.61/0.65 tff(254,plain,
% 0.61/0.65 (^[X: $i] : refl(((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(255,plain,
% 0.61/0.65 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[254])).
% 0.61/0.65 tff(256,plain,
% 0.61/0.65 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(257,axiom,(![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 0.61/0.65 tff(258,plain,
% 0.61/0.65 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.61/0.65 tff(259,plain,(
% 0.61/0.65 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.65 inference(skolemize,[status(sab)],[258])).
% 0.61/0.65 tff(260,plain,
% 0.61/0.65 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[259, 255])).
% 0.61/0.65 tff(261,plain,
% 0.61/0.65 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(262,plain,
% 0.61/0.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(263,plain,
% 0.61/0.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.61/0.65 tff(264,plain,
% 0.61/0.65 (~m_main_v_state2(s1, c_c2)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[263, 260, 70])).
% 0.61/0.65 tff(265,plain,
% 0.61/0.65 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(266,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[265])).
% 0.61/0.65 tff(267,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(268,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_35')).
% 0.61/0.65 tff(269,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.61/0.65 tff(270,plain,(
% 0.61/0.65 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.61/0.65 inference(skolemize,[status(sab)],[269])).
% 0.61/0.65 tff(271,plain,
% 0.61/0.65 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[270, 266])).
% 0.61/0.65 tff(272,plain,
% 0.61/0.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(273,plain,
% 0.61/0.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(274,plain,
% 0.61/0.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.61/0.65 tff(275,plain,
% 0.61/0.65 (~node8(s1)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[274, 271, 81])).
% 0.61/0.65 tff(276,plain,
% 0.61/0.65 (succ(s1, s2) <=> succ(s1, s2)),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(277,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 0.61/0.65 tff(278,plain,
% 0.61/0.65 (succ(s1, s2)),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.61/0.65 tff(279,plain,
% 0.61/0.65 (((~![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))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(280,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(281,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.61/0.65 tff(282,plain,
% 0.61/0.65 (trans(s1, s2)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[281, 278, 32])).
% 0.61/0.65 tff(283,plain,
% 0.61/0.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(284,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(285,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.61/0.65 tff(286,plain,
% 0.61/0.65 (node14(s1, s2)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[285, 46, 282])).
% 0.61/0.65 tff(287,plain,
% 0.61/0.65 (^[Y: $i, X: $i] : refl((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(288,plain,
% 0.61/0.65 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[287])).
% 0.61/0.65 tff(289,plain,
% 0.61/0.65 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(290,plain,
% 0.61/0.65 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(291,plain,
% 0.61/0.65 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[290])).
% 0.61/0.65 tff(292,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_54')).
% 0.61/0.65 tff(293,plain,
% 0.61/0.65 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.61/0.65 tff(294,plain,
% 0.61/0.65 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[293, 289])).
% 0.61/0.65 tff(295,plain,(
% 0.61/0.65 ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.61/0.65 inference(skolemize,[status(sab)],[294])).
% 0.61/0.65 tff(296,plain,
% 0.61/0.65 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[295, 288])).
% 0.61/0.65 tff(297,plain,
% 0.61/0.65 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(298,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 0.61/0.65 inference(quant_inst,[status(thm)],[])).
% 0.61/0.65 tff(299,plain,
% 0.61/0.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2))),
% 0.61/0.65 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.61/0.65 tff(300,plain,
% 0.61/0.65 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[299, 296, 286])).
% 0.61/0.65 tff(301,plain,
% 0.61/0.65 (node13(s1, s2)),
% 0.61/0.65 inference(unit_resolution,[status(thm)],[300, 275, 264, 253, 242, 188, 92])).
% 0.61/0.65 tff(302,plain,
% 0.61/0.65 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(303,plain,
% 0.61/0.65 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[302])).
% 0.61/0.65 tff(304,plain,
% 0.61/0.65 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.61/0.65 inference(rewrite,[status(thm)],[])).
% 0.61/0.65 tff(305,plain,
% 0.61/0.65 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 0.61/0.65 inference(bind,[status(th)],[])).
% 0.61/0.65 tff(306,plain,
% 0.61/0.65 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.61/0.65 inference(quant_intro,[status(thm)],[305])).
% 0.61/0.66 tff(307,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_47')).
% 0.61/0.66 tff(308,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.61/0.66 tff(309,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[308, 304])).
% 0.61/0.66 tff(310,plain,(
% 0.61/0.66 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.61/0.66 inference(skolemize,[status(sab)],[309])).
% 0.61/0.66 tff(311,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[310, 303])).
% 0.61/0.66 tff(312,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(313,plain,
% 0.61/0.66 (((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2))) <=> (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(314,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))))),
% 0.61/0.66 inference(monotonicity,[status(thm)],[313])).
% 0.61/0.66 tff(315,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 0.61/0.66 inference(transitivity,[status(thm)],[314, 312])).
% 0.61/0.66 tff(316,plain,
% 0.61/0.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(317,plain,
% 0.61/0.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[316, 315])).
% 0.61/0.66 tff(318,plain,
% 0.61/0.66 (~m_main_v_state2(s2, c_n2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[317, 311, 81, 301])).
% 0.61/0.66 tff(319,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(320,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(321,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.61/0.66 tff(322,plain,
% 0.61/0.66 (~node9(s2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[321, 88, 318])).
% 0.61/0.66 tff(323,plain,
% 0.61/0.66 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(324,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[323])).
% 0.61/0.66 tff(325,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(326,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_58')).
% 0.61/0.66 tff(327,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.61/0.66 tff(328,plain,(
% 0.61/0.66 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.61/0.66 inference(skolemize,[status(sab)],[327])).
% 0.61/0.66 tff(329,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[328, 324])).
% 0.61/0.66 tff(330,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(331,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(332,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[331, 330])).
% 0.61/0.66 tff(333,plain,
% 0.61/0.66 (~node16(s1)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[332, 329, 81])).
% 0.61/0.66 tff(334,plain,
% 0.61/0.66 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(335,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[334])).
% 0.61/0.66 tff(336,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(337,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_56')).
% 0.61/0.66 tff(338,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.61/0.66 tff(339,plain,(
% 0.61/0.66 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.61/0.66 inference(skolemize,[status(sab)],[338])).
% 0.61/0.66 tff(340,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[339, 335])).
% 0.61/0.66 tff(341,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(342,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(343,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[342, 341])).
% 0.61/0.66 tff(344,plain,
% 0.61/0.66 (~node15(s1)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[343, 340, 231])).
% 0.61/0.66 tff(345,plain,
% 0.61/0.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(346,plain,
% 0.61/0.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(347,plain,
% 0.61/0.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[346, 345])).
% 0.61/0.66 tff(348,plain,
% 0.61/0.66 (node18(s1, s2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[347, 125, 282])).
% 0.61/0.66 tff(349,plain,
% 0.61/0.66 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(350,plain,
% 0.61/0.66 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(351,plain,
% 0.61/0.66 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.61/0.66 tff(352,plain,
% 0.61/0.66 (node15(s1) | node16(s1) | node17(s1, s2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[351, 139, 348])).
% 0.61/0.66 tff(353,plain,
% 0.61/0.66 (node17(s1, s2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[352, 344, 333])).
% 0.61/0.66 tff(354,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(355,plain,
% 0.61/0.66 (((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2))) <=> (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(356,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))))),
% 0.61/0.66 inference(monotonicity,[status(thm)],[355])).
% 0.61/0.66 tff(357,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 0.61/0.66 inference(transitivity,[status(thm)],[356, 354])).
% 0.61/0.66 tff(358,plain,
% 0.61/0.66 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(359,plain,
% 0.61/0.66 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.61/0.66 tff(360,plain,
% 0.61/0.66 (~m_main_v_turn(s2, c_2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[359, 170, 353, 177])).
% 0.61/0.66 tff(361,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(362,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(363,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[362, 361])).
% 0.61/0.66 tff(364,plain,
% 0.61/0.66 (~node12(s2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[363, 184, 360])).
% 0.61/0.66 tff(365,plain,
% 0.61/0.66 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(366,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[365])).
% 0.61/0.66 tff(367,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(368,plain,
% 0.61/0.66 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) <=> ((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> (((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))))), rewrite((((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(369,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[368])).
% 0.61/0.66 tff(370,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_60')).
% 0.61/0.66 tff(371,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[370, 369])).
% 0.61/0.66 tff(372,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[371, 367])).
% 0.61/0.66 tff(373,plain,(
% 0.61/0.66 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.61/0.66 inference(skolemize,[status(sab)],[372])).
% 0.61/0.66 tff(374,plain,
% 0.61/0.66 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[373, 366])).
% 0.61/0.66 tff(375,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(376,plain,
% 0.61/0.66 (((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1)) <=> ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(377,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))))),
% 0.61/0.66 inference(monotonicity,[status(thm)],[376])).
% 0.61/0.66 tff(378,plain,
% 0.61/0.66 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 0.61/0.66 inference(transitivity,[status(thm)],[377, 375])).
% 0.61/0.66 tff(379,plain,
% 0.61/0.66 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(380,plain,
% 0.61/0.66 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[379, 378])).
% 0.61/0.66 tff(381,plain,
% 0.61/0.66 (m_main_v_turn(s1, c_1)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[380, 149, 374, 146])).
% 0.61/0.66 tff(382,plain,
% 0.61/0.66 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(383,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[382])).
% 0.61/0.66 tff(384,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(385,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_21')).
% 0.61/0.66 tff(386,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[385, 384])).
% 0.61/0.66 tff(387,plain,(
% 0.61/0.66 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.61/0.66 inference(skolemize,[status(sab)],[386])).
% 0.61/0.66 tff(388,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[387, 383])).
% 0.61/0.66 tff(389,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(390,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(391,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[390, 389])).
% 0.61/0.66 tff(392,plain,
% 0.61/0.66 (~node4(s1)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[391, 388, 81])).
% 0.61/0.66 tff(393,plain,
% 0.61/0.66 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(394,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[393])).
% 0.61/0.66 tff(395,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(396,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_19')).
% 0.61/0.66 tff(397,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[396, 395])).
% 0.61/0.66 tff(398,plain,(
% 0.61/0.66 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.61/0.66 inference(skolemize,[status(sab)],[397])).
% 0.61/0.66 tff(399,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[398, 394])).
% 0.61/0.66 tff(400,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(401,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(402,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[401, 400])).
% 0.61/0.66 tff(403,plain,
% 0.61/0.66 (~node3(s1)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[402, 399, 264])).
% 0.61/0.66 tff(404,plain,
% 0.61/0.66 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(405,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[404])).
% 0.61/0.66 tff(406,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(407,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_17')).
% 0.61/0.66 tff(408,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[407, 406])).
% 0.61/0.66 tff(409,plain,(
% 0.61/0.66 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.61/0.66 inference(skolemize,[status(sab)],[408])).
% 0.61/0.66 tff(410,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[409, 405])).
% 0.61/0.66 tff(411,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(412,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(413,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.61/0.66 tff(414,plain,
% 0.61/0.66 (~node2(s1)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[413, 410, 81])).
% 0.61/0.66 tff(415,plain,
% 0.61/0.66 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(416,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[415])).
% 0.61/0.66 tff(417,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(418,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_14')).
% 0.61/0.66 tff(419,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[418, 417])).
% 0.61/0.66 tff(420,plain,(
% 0.61/0.66 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.61/0.66 inference(skolemize,[status(sab)],[419])).
% 0.61/0.66 tff(421,plain,
% 0.61/0.66 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[420, 416])).
% 0.61/0.66 tff(422,plain,
% 0.61/0.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(423,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(424,plain,
% 0.61/0.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[423, 422])).
% 0.61/0.66 tff(425,plain,
% 0.61/0.66 (~node1(s1)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[424, 421, 231])).
% 0.61/0.66 tff(426,plain,
% 0.61/0.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(427,plain,
% 0.61/0.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 0.61/0.66 inference(quant_inst,[status(thm)],[])).
% 0.61/0.66 tff(428,plain,
% 0.61/0.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 0.61/0.66 inference(modus_ponens,[status(thm)],[427, 426])).
% 0.61/0.66 tff(429,plain,
% 0.61/0.66 (node7(s1, s2)),
% 0.61/0.66 inference(unit_resolution,[status(thm)],[428, 206, 282])).
% 0.61/0.66 tff(430,plain,
% 0.61/0.66 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 0.61/0.66 inference(bind,[status(th)],[])).
% 0.61/0.66 tff(431,plain,
% 0.61/0.66 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.61/0.66 inference(quant_intro,[status(thm)],[430])).
% 0.61/0.66 tff(432,plain,
% 0.61/0.66 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.61/0.66 inference(rewrite,[status(thm)],[])).
% 0.61/0.66 tff(433,plain,
% 0.61/0.66 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 0.61/0.67 inference(bind,[status(th)],[])).
% 0.61/0.67 tff(434,plain,
% 0.61/0.67 (![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.61/0.67 inference(quant_intro,[status(thm)],[433])).
% 0.61/0.67 tff(435,axiom,(![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_31')).
% 0.61/0.67 tff(436,plain,
% 0.61/0.67 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.61/0.67 tff(437,plain,
% 0.61/0.67 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[436, 432])).
% 0.61/0.67 tff(438,plain,(
% 0.61/0.67 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.61/0.67 inference(skolemize,[status(sab)],[437])).
% 0.61/0.67 tff(439,plain,
% 0.61/0.67 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[438, 431])).
% 0.61/0.67 tff(440,plain,
% 0.61/0.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(441,plain,
% 0.61/0.67 (((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1)) <=> ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(442,plain,
% 0.61/0.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))))),
% 0.61/0.67 inference(monotonicity,[status(thm)],[441])).
% 0.61/0.67 tff(443,plain,
% 0.61/0.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 0.61/0.67 inference(transitivity,[status(thm)],[442, 440])).
% 0.61/0.67 tff(444,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(445,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.61/0.67 tff(446,plain,
% 0.61/0.67 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[445, 439, 429, 70, 227])).
% 0.61/0.67 tff(447,plain,
% 0.61/0.67 (m_main_v_state1(s2, c_c1)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[446, 425, 414, 403, 392, 381])).
% 0.61/0.67 tff(448,plain,
% 0.61/0.67 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))))),
% 0.61/0.67 inference(bind,[status(th)],[])).
% 0.61/0.67 tff(449,plain,
% 0.61/0.67 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.67 inference(quant_intro,[status(thm)],[448])).
% 0.61/0.67 tff(450,plain,
% 0.61/0.67 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(451,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 0.61/0.67 tff(452,plain,
% 0.61/0.67 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.61/0.67 tff(453,plain,(
% 0.61/0.67 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.67 inference(skolemize,[status(sab)],[452])).
% 0.61/0.67 tff(454,plain,
% 0.61/0.67 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[453, 449])).
% 0.61/0.67 tff(455,plain,
% 0.61/0.67 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(456,plain,
% 0.61/0.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(457,plain,
% 0.61/0.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[456, 455])).
% 0.61/0.67 tff(458,plain,
% 0.61/0.67 (~m_main_v_state1(s2, c_n1)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[457, 454, 447])).
% 0.61/0.67 tff(459,plain,
% 0.61/0.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(460,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(461,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[460, 459])).
% 0.61/0.67 tff(462,plain,
% 0.61/0.67 (~node11(s2)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[461, 238, 458])).
% 0.61/0.67 tff(463,plain,
% 0.61/0.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(464,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(465,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[464, 463])).
% 0.61/0.67 tff(466,plain,
% 0.61/0.67 (~node10(s2)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[465, 249, 318])).
% 0.61/0.67 tff(467,plain,
% 0.61/0.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(468,plain,
% 0.61/0.67 (((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2))) <=> (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(469,plain,
% 0.61/0.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))))),
% 0.61/0.67 inference(monotonicity,[status(thm)],[468])).
% 0.61/0.67 tff(470,plain,
% 0.61/0.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 0.61/0.67 inference(transitivity,[status(thm)],[469, 467])).
% 0.61/0.67 tff(471,plain,
% 0.61/0.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(472,plain,
% 0.61/0.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[471, 470])).
% 0.61/0.67 tff(473,plain,
% 0.61/0.67 (~m_main_v_state2(s2, c_c2)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[472, 311, 264, 301])).
% 0.61/0.67 tff(474,plain,
% 0.61/0.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(475,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(476,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[475, 474])).
% 0.61/0.67 tff(477,plain,
% 0.61/0.67 (~node8(s2)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[476, 271, 318])).
% 0.61/0.67 tff(478,plain,
% 0.61/0.67 (succ(s2, s3) <=> succ(s2, s3)),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(479,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 0.61/0.67 tff(480,plain,
% 0.61/0.67 (succ(s2, s3)),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[479, 478])).
% 0.61/0.67 tff(481,plain,
% 0.61/0.67 (((~![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))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(482,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(483,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[482, 481])).
% 0.61/0.67 tff(484,plain,
% 0.61/0.67 (trans(s2, s3)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[483, 480, 32])).
% 0.61/0.67 tff(485,plain,
% 0.61/0.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(486,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(487,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[486, 485])).
% 0.61/0.67 tff(488,plain,
% 0.61/0.67 (node14(s2, s3)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[487, 46, 484])).
% 0.61/0.67 tff(489,plain,
% 0.61/0.67 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(490,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(491,plain,
% 0.61/0.67 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[490, 489])).
% 0.61/0.67 tff(492,plain,
% 0.61/0.67 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[491, 296, 488])).
% 0.61/0.67 tff(493,plain,
% 0.61/0.67 (node13(s2, s3)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[492, 477, 473, 466, 462, 364, 322])).
% 0.61/0.67 tff(494,plain,
% 0.61/0.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(495,plain,
% 0.61/0.67 (((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2))) <=> (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(496,plain,
% 0.61/0.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))))),
% 0.61/0.67 inference(monotonicity,[status(thm)],[495])).
% 0.61/0.67 tff(497,plain,
% 0.61/0.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 0.61/0.67 inference(transitivity,[status(thm)],[496, 494])).
% 0.61/0.67 tff(498,plain,
% 0.61/0.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(499,plain,
% 0.61/0.67 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[498, 497])).
% 0.61/0.67 tff(500,plain,
% 0.61/0.67 (~m_main_v_state2(s3, c_n2)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[499, 311, 318, 493])).
% 0.61/0.67 tff(501,plain,
% 0.61/0.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(502,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(503,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[502, 501])).
% 0.61/0.67 tff(504,plain,
% 0.61/0.67 (~node9(s3)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[503, 88, 500])).
% 0.61/0.67 tff(505,plain,
% 0.61/0.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(506,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 0.61/0.67 inference(quant_inst,[status(thm)],[])).
% 0.61/0.67 tff(507,plain,
% 0.61/0.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[506, 505])).
% 0.61/0.67 tff(508,plain,
% 0.61/0.67 (~node10(s3)),
% 0.61/0.67 inference(unit_resolution,[status(thm)],[507, 249, 500])).
% 0.61/0.67 tff(509,plain,
% 0.61/0.67 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)))),
% 0.61/0.67 inference(bind,[status(th)],[])).
% 0.61/0.67 tff(510,plain,
% 0.61/0.67 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.61/0.67 inference(quant_intro,[status(thm)],[509])).
% 0.61/0.67 tff(511,plain,
% 0.61/0.67 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(512,plain,
% 0.61/0.67 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) <=> ((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> (((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))))), rewrite((((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))))),
% 0.61/0.67 inference(bind,[status(th)],[])).
% 0.61/0.67 tff(513,plain,
% 0.61/0.67 (![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.61/0.67 inference(quant_intro,[status(thm)],[512])).
% 0.61/0.67 tff(514,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_46')).
% 0.61/0.67 tff(515,plain,
% 0.61/0.67 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[514, 513])).
% 0.61/0.67 tff(516,plain,
% 0.61/0.67 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[515, 511])).
% 0.61/0.67 tff(517,plain,(
% 0.61/0.67 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.61/0.67 inference(skolemize,[status(sab)],[516])).
% 0.61/0.67 tff(518,plain,
% 0.61/0.67 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.61/0.67 inference(modus_ponens,[status(thm)],[517, 510])).
% 0.61/0.67 tff(519,plain,
% 0.61/0.67 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 0.61/0.67 inference(rewrite,[status(thm)],[])).
% 0.61/0.67 tff(520,plain,
% 0.61/0.67 (((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2)) <=> ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(521,plain,
% 0.61/0.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))))),
% 0.61/0.68 inference(monotonicity,[status(thm)],[520])).
% 0.61/0.68 tff(522,plain,
% 0.61/0.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 0.61/0.68 inference(transitivity,[status(thm)],[521, 519])).
% 0.61/0.68 tff(523,plain,
% 0.61/0.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(524,plain,
% 0.61/0.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[523, 522])).
% 0.61/0.68 tff(525,plain,
% 0.61/0.68 (m_main_v_state2(s2, c_t2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[524, 518, 70, 301])).
% 0.61/0.68 tff(526,plain,
% 0.61/0.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(527,plain,
% 0.61/0.68 (((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2)) <=> ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(528,plain,
% 0.61/0.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))))),
% 0.61/0.68 inference(monotonicity,[status(thm)],[527])).
% 0.61/0.68 tff(529,plain,
% 0.61/0.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 0.61/0.68 inference(transitivity,[status(thm)],[528, 526])).
% 0.61/0.68 tff(530,plain,
% 0.61/0.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(531,plain,
% 0.61/0.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[530, 529])).
% 0.61/0.68 tff(532,plain,
% 0.61/0.68 (m_main_v_state2(s3, c_t2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[531, 518, 525, 493])).
% 0.61/0.68 tff(533,plain,
% 0.61/0.68 (^[X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))))),
% 0.61/0.68 inference(bind,[status(th)],[])).
% 0.61/0.68 tff(534,plain,
% 0.61/0.68 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.68 inference(quant_intro,[status(thm)],[533])).
% 0.61/0.68 tff(535,plain,
% 0.61/0.68 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(536,axiom,(![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 0.61/0.68 tff(537,plain,
% 0.61/0.68 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[536, 535])).
% 0.61/0.68 tff(538,plain,(
% 0.61/0.68 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.68 inference(skolemize,[status(sab)],[537])).
% 0.61/0.68 tff(539,plain,
% 0.61/0.68 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[538, 534])).
% 0.61/0.68 tff(540,plain,
% 0.61/0.68 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(541,plain,
% 0.61/0.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(542,plain,
% 0.61/0.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[541, 540])).
% 0.61/0.68 tff(543,plain,
% 0.61/0.68 (~m_main_v_state1(s2, c_t1)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[542, 539, 447])).
% 0.61/0.68 tff(544,plain,
% 0.61/0.68 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 0.61/0.68 inference(bind,[status(th)],[])).
% 0.61/0.68 tff(545,plain,
% 0.61/0.68 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.61/0.68 inference(quant_intro,[status(thm)],[544])).
% 0.61/0.68 tff(546,plain,
% 0.61/0.68 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(547,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_22')).
% 0.61/0.68 tff(548,plain,
% 0.61/0.68 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[547, 546])).
% 0.61/0.68 tff(549,plain,(
% 0.61/0.68 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.61/0.68 inference(skolemize,[status(sab)],[548])).
% 0.61/0.68 tff(550,plain,
% 0.61/0.68 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[549, 545])).
% 0.61/0.68 tff(551,plain,
% 0.61/0.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(552,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(553,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[552, 551])).
% 0.61/0.68 tff(554,plain,
% 0.61/0.68 (~node5(s2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[553, 550, 543])).
% 0.61/0.68 tff(555,plain,
% 0.61/0.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(556,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(557,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[556, 555])).
% 0.61/0.68 tff(558,plain,
% 0.61/0.68 (~node4(s2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[557, 388, 318])).
% 0.61/0.68 tff(559,plain,
% 0.61/0.68 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(560,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(561,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[560, 559])).
% 0.61/0.68 tff(562,plain,
% 0.61/0.68 (~node3(s2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[561, 399, 473])).
% 0.61/0.68 tff(563,plain,
% 0.61/0.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(564,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(565,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[564, 563])).
% 0.61/0.68 tff(566,plain,
% 0.61/0.68 (~node2(s2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[565, 410, 318])).
% 0.61/0.68 tff(567,plain,
% 0.61/0.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(568,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(569,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[568, 567])).
% 0.61/0.68 tff(570,plain,
% 0.61/0.68 (~node1(s2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[569, 421, 458])).
% 0.61/0.68 tff(571,plain,
% 0.61/0.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(572,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(573,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[572, 571])).
% 0.61/0.68 tff(574,plain,
% 0.61/0.68 (node7(s2, s3)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[573, 206, 484])).
% 0.61/0.68 tff(575,plain,
% 0.61/0.68 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)))),
% 0.61/0.68 inference(bind,[status(th)],[])).
% 0.61/0.68 tff(576,plain,
% 0.61/0.68 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.61/0.68 inference(quant_intro,[status(thm)],[575])).
% 0.61/0.68 tff(577,plain,
% 0.61/0.68 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(578,plain,
% 0.61/0.68 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))))),
% 0.61/0.68 inference(bind,[status(th)],[])).
% 0.61/0.68 tff(579,plain,
% 0.61/0.68 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.61/0.68 inference(quant_intro,[status(thm)],[578])).
% 0.61/0.68 tff(580,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_32')).
% 0.61/0.68 tff(581,plain,
% 0.61/0.68 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[580, 579])).
% 0.61/0.68 tff(582,plain,
% 0.61/0.68 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[581, 577])).
% 0.61/0.68 tff(583,plain,(
% 0.61/0.68 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.61/0.68 inference(skolemize,[status(sab)],[582])).
% 0.61/0.68 tff(584,plain,
% 0.61/0.68 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[583, 576])).
% 0.61/0.68 tff(585,plain,
% 0.61/0.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(586,plain,
% 0.61/0.68 (((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1)) <=> (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(587,plain,
% 0.61/0.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))))),
% 0.61/0.68 inference(monotonicity,[status(thm)],[586])).
% 0.61/0.68 tff(588,plain,
% 0.61/0.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 0.61/0.68 inference(transitivity,[status(thm)],[587, 585])).
% 0.61/0.68 tff(589,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(590,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[589, 588])).
% 0.61/0.68 tff(591,plain,
% 0.61/0.68 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[590, 584, 574])).
% 0.61/0.68 tff(592,plain,
% 0.61/0.68 (m_main_v_state1(s3, c_n1)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[591, 570, 447, 566, 562, 558, 554])).
% 0.61/0.68 tff(593,plain,
% 0.61/0.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(594,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(595,plain,
% 0.61/0.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[594, 593])).
% 0.61/0.68 tff(596,plain,
% 0.61/0.68 (~node8(s3)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[595, 271, 500])).
% 0.61/0.68 tff(597,plain,
% 0.61/0.68 (succ(s3, s4) <=> succ(s3, s4)),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(598,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 0.61/0.68 tff(599,plain,
% 0.61/0.68 (succ(s3, s4)),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[598, 597])).
% 0.61/0.68 tff(600,plain,
% 0.61/0.68 (((~![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))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(601,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(602,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[601, 600])).
% 0.61/0.68 tff(603,plain,
% 0.61/0.68 (trans(s3, s4)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[602, 599, 32])).
% 0.61/0.68 tff(604,plain,
% 0.61/0.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(605,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 0.61/0.68 inference(quant_inst,[status(thm)],[])).
% 0.61/0.68 tff(606,plain,
% 0.61/0.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 0.61/0.68 inference(modus_ponens,[status(thm)],[605, 604])).
% 0.61/0.68 tff(607,plain,
% 0.61/0.68 (node14(s3, s4)),
% 0.61/0.68 inference(unit_resolution,[status(thm)],[606, 46, 603])).
% 0.61/0.68 tff(608,plain,
% 0.61/0.68 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)))),
% 0.61/0.68 inference(bind,[status(th)],[])).
% 0.61/0.68 tff(609,plain,
% 0.61/0.68 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.61/0.68 inference(quant_intro,[status(thm)],[608])).
% 0.61/0.68 tff(610,plain,
% 0.61/0.68 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.61/0.68 inference(rewrite,[status(thm)],[])).
% 0.61/0.68 tff(611,plain,
% 0.61/0.68 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))))), rewrite(((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> (((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))))), rewrite((((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(612,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[611])).
% 0.61/0.69 tff(613,axiom,(![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_51')).
% 0.61/0.69 tff(614,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.61/0.69 tff(615,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[614, 610])).
% 0.61/0.69 tff(616,plain,(
% 0.61/0.69 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.61/0.69 inference(skolemize,[status(sab)],[615])).
% 0.61/0.69 tff(617,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[616, 609])).
% 0.61/0.69 tff(618,plain,
% 0.61/0.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(619,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(620,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2)),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[619, 618])).
% 0.61/0.69 tff(621,plain,
% 0.61/0.69 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | m_main_v_state2(s4, c_c2)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[620, 617, 607])).
% 0.61/0.69 tff(622,plain,
% 0.61/0.69 (m_main_v_state2(s4, c_c2)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[621, 596, 592, 532, 508, 504])).
% 0.61/0.69 tff(623,plain,
% 0.61/0.69 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(624,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(625,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[624, 623])).
% 0.61/0.69 tff(626,plain,
% 0.61/0.69 (~m_main_v_state2(s4, c_t2)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[625, 260, 622])).
% 0.61/0.69 tff(627,plain,
% 0.61/0.69 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(628,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[627])).
% 0.61/0.69 tff(629,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(630,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_43')).
% 0.61/0.69 tff(631,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[630, 629])).
% 0.61/0.69 tff(632,plain,(
% 0.61/0.69 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.61/0.69 inference(skolemize,[status(sab)],[631])).
% 0.61/0.69 tff(633,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[632, 628])).
% 0.61/0.69 tff(634,plain,
% 0.61/0.69 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(635,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(636,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[635, 634])).
% 0.61/0.69 tff(637,plain,
% 0.61/0.69 (~node12(s4)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[636, 633, 626])).
% 0.61/0.69 tff(638,plain,
% 0.61/0.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(639,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(640,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[639, 638])).
% 0.61/0.69 tff(641,plain,
% 0.61/0.69 (node7(s3, s4)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[640, 206, 603])).
% 0.61/0.69 tff(642,plain,
% 0.61/0.69 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(643,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[642])).
% 0.61/0.69 tff(644,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(645,plain,
% 0.61/0.69 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(646,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[645])).
% 0.61/0.69 tff(647,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_27')).
% 0.61/0.69 tff(648,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[647, 646])).
% 0.61/0.69 tff(649,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[648, 644])).
% 0.61/0.69 tff(650,plain,(
% 0.61/0.69 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.69 inference(skolemize,[status(sab)],[649])).
% 0.61/0.69 tff(651,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[650, 643])).
% 0.61/0.69 tff(652,plain,
% 0.61/0.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(653,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(654,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1)),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[653, 652])).
% 0.61/0.69 tff(655,plain,
% 0.61/0.69 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[654, 651, 641])).
% 0.61/0.69 tff(656,plain,
% 0.61/0.69 (m_main_v_state1(s4, c_t1)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[655, 532, 592])).
% 0.61/0.69 tff(657,plain,
% 0.61/0.69 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(658,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(659,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[658, 657])).
% 0.61/0.69 tff(660,plain,
% 0.61/0.69 (~m_main_v_state1(s4, c_n1)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[659, 10, 656])).
% 0.61/0.69 tff(661,plain,
% 0.61/0.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(662,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(663,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[662, 661])).
% 0.61/0.69 tff(664,plain,
% 0.61/0.69 (~node11(s4)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[663, 238, 660])).
% 0.61/0.69 tff(665,plain,
% 0.61/0.69 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(666,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(667,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[666, 665])).
% 0.61/0.69 tff(668,plain,
% 0.61/0.69 (~m_main_v_state1(s4, c_c1)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[667, 539, 656])).
% 0.61/0.69 tff(669,plain,
% 0.61/0.69 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(670,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[669])).
% 0.61/0.69 tff(671,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(672,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_40')).
% 0.61/0.69 tff(673,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[672, 671])).
% 0.61/0.69 tff(674,plain,(
% 0.61/0.69 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.61/0.69 inference(skolemize,[status(sab)],[673])).
% 0.61/0.69 tff(675,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[674, 670])).
% 0.61/0.69 tff(676,plain,
% 0.61/0.69 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(677,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(678,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[677, 676])).
% 0.61/0.69 tff(679,plain,
% 0.61/0.69 (~node10(s4)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[678, 675, 668])).
% 0.61/0.69 tff(680,plain,
% 0.61/0.69 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(681,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[680])).
% 0.61/0.69 tff(682,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(683,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_38')).
% 0.61/0.69 tff(684,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[683, 682])).
% 0.61/0.69 tff(685,plain,(
% 0.61/0.69 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.61/0.69 inference(skolemize,[status(sab)],[684])).
% 0.61/0.69 tff(686,plain,
% 0.61/0.69 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[685, 681])).
% 0.61/0.69 tff(687,plain,
% 0.61/0.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(688,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(689,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[688, 687])).
% 0.61/0.69 tff(690,plain,
% 0.61/0.69 (~node9(s4)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[689, 686, 660])).
% 0.61/0.69 tff(691,plain,
% 0.61/0.69 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(692,plain,
% 0.61/0.69 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[691])).
% 0.61/0.69 tff(693,plain,
% 0.61/0.69 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(694,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 0.61/0.69 tff(695,plain,
% 0.61/0.69 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[694, 693])).
% 0.61/0.69 tff(696,plain,(
% 0.61/0.69 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.69 inference(skolemize,[status(sab)],[695])).
% 0.61/0.69 tff(697,plain,
% 0.61/0.69 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[696, 692])).
% 0.61/0.69 tff(698,plain,
% 0.61/0.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(699,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(700,plain,
% 0.61/0.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[699, 698])).
% 0.61/0.69 tff(701,plain,
% 0.61/0.69 (~m_main_v_state2(s4, c_n2)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[700, 697, 622])).
% 0.61/0.69 tff(702,plain,
% 0.61/0.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(703,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(704,plain,
% 0.61/0.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[703, 702])).
% 0.61/0.69 tff(705,plain,
% 0.61/0.69 (~node8(s4)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[704, 271, 701])).
% 0.61/0.69 tff(706,plain,
% 0.61/0.69 (succ(s4, s5) <=> succ(s4, s5)),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(707,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 0.61/0.69 tff(708,plain,
% 0.61/0.69 (succ(s4, s5)),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[707, 706])).
% 0.61/0.69 tff(709,plain,
% 0.61/0.69 (((~![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))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(710,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(711,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[710, 709])).
% 0.61/0.69 tff(712,plain,
% 0.61/0.69 (trans(s4, s5)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[711, 708, 32])).
% 0.61/0.69 tff(713,plain,
% 0.61/0.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(714,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 0.61/0.69 inference(quant_inst,[status(thm)],[])).
% 0.61/0.69 tff(715,plain,
% 0.61/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 0.61/0.69 inference(modus_ponens,[status(thm)],[714, 713])).
% 0.61/0.69 tff(716,plain,
% 0.61/0.69 (node14(s4, s5)),
% 0.61/0.69 inference(unit_resolution,[status(thm)],[715, 46, 712])).
% 0.61/0.69 tff(717,plain,
% 0.61/0.69 (^[Y: $i, X: $i] : refl(((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)))),
% 0.61/0.69 inference(bind,[status(th)],[])).
% 0.61/0.69 tff(718,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.61/0.69 inference(quant_intro,[status(thm)],[717])).
% 0.61/0.69 tff(719,plain,
% 0.61/0.69 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.61/0.69 inference(rewrite,[status(thm)],[])).
% 0.61/0.69 tff(720,plain,
% 0.61/0.69 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))))),
% 0.61/0.70 inference(bind,[status(th)],[])).
% 0.61/0.70 tff(721,plain,
% 0.61/0.70 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.61/0.70 inference(quant_intro,[status(thm)],[720])).
% 0.61/0.70 tff(722,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_53')).
% 0.61/0.70 tff(723,plain,
% 0.61/0.70 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.61/0.70 inference(modus_ponens,[status(thm)],[722, 721])).
% 0.61/0.70 tff(724,plain,
% 0.61/0.70 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.61/0.70 inference(modus_ponens,[status(thm)],[723, 719])).
% 0.61/0.70 tff(725,plain,(
% 0.61/0.70 ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.61/0.70 inference(skolemize,[status(sab)],[724])).
% 0.61/0.70 tff(726,plain,
% 0.61/0.70 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.61/0.70 inference(modus_ponens,[status(thm)],[725, 718])).
% 0.61/0.70 tff(727,plain,
% 0.61/0.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 0.61/0.70 inference(rewrite,[status(thm)],[])).
% 0.61/0.70 tff(728,plain,
% 0.61/0.70 (((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2)) <=> (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 0.61/0.70 inference(rewrite,[status(thm)],[])).
% 0.61/0.70 tff(729,plain,
% 0.61/0.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))))),
% 0.61/0.70 inference(monotonicity,[status(thm)],[728])).
% 0.61/0.70 tff(730,plain,
% 0.61/0.70 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 0.61/0.70 inference(transitivity,[status(thm)],[729, 727])).
% 0.61/0.70 tff(731,plain,
% 0.61/0.70 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 0.61/0.70 inference(quant_inst,[status(thm)],[])).
% 0.61/0.70 tff(732,plain,
% 0.61/0.70 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 0.61/0.70 inference(modus_ponens,[status(thm)],[731, 730])).
% 0.61/0.70 tff(733,plain,
% 0.61/0.70 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 0.61/0.70 inference(unit_resolution,[status(thm)],[732, 726, 716])).
% 0.61/0.70 tff(734,plain,
% 0.61/0.70 (m_main_v_state2(s5, c_n2)),
% 0.61/0.70 inference(unit_resolution,[status(thm)],[733, 705, 622, 690, 679, 664, 637])).
% 0.61/0.70 tff(735,plain,
% 0.61/0.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 0.61/0.70 inference(rewrite,[status(thm)],[])).
% 0.61/0.70 tff(736,plain,
% 0.61/0.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 0.61/0.70 inference(quant_inst,[status(thm)],[])).
% 0.61/0.70 tff(737,plain,
% 0.61/0.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2))),
% 0.61/0.70 inference(modus_ponens,[status(thm)],[736, 735])).
% 0.61/0.70 tff(738,plain,
% 0.61/0.70 (~m_main_v_state2(s5, c_c2)),
% 0.61/0.70 inference(unit_resolution,[status(thm)],[737, 697, 734])).
% 0.61/0.70 tff(739,plain,
% 0.61/0.70 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(740,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(741,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[740, 739])).
% 0.68/0.70 tff(742,plain,
% 0.68/0.70 (~node3(s5)),
% 0.68/0.70 inference(unit_resolution,[status(thm)],[741, 399, 738])).
% 0.68/0.70 tff(743,plain,
% 0.68/0.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(744,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(745,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[744, 743])).
% 0.68/0.70 tff(746,plain,
% 0.68/0.70 (~node1(s4)),
% 0.68/0.70 inference(unit_resolution,[status(thm)],[745, 421, 660])).
% 0.68/0.70 tff(747,plain,
% 0.68/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(748,plain,
% 0.68/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(749,plain,
% 0.68/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[748, 747])).
% 0.68/0.70 tff(750,plain,
% 0.68/0.70 (node18(s3, s4)),
% 0.68/0.70 inference(unit_resolution,[status(thm)],[749, 125, 603])).
% 0.68/0.70 tff(751,plain,
% 0.68/0.70 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)))),
% 0.68/0.70 inference(bind,[status(th)],[])).
% 0.68/0.70 tff(752,plain,
% 0.68/0.70 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.68/0.70 inference(quant_intro,[status(thm)],[751])).
% 0.68/0.70 tff(753,plain,
% 0.68/0.70 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(754,plain,
% 0.68/0.70 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))))),
% 0.68/0.70 inference(bind,[status(th)],[])).
% 0.68/0.70 tff(755,plain,
% 0.68/0.70 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.68/0.70 inference(quant_intro,[status(thm)],[754])).
% 0.68/0.70 tff(756,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_62')).
% 0.68/0.70 tff(757,plain,
% 0.68/0.70 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[756, 755])).
% 0.68/0.70 tff(758,plain,
% 0.68/0.70 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[757, 753])).
% 0.68/0.70 tff(759,plain,(
% 0.68/0.70 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.68/0.70 inference(skolemize,[status(sab)],[758])).
% 0.68/0.70 tff(760,plain,
% 0.68/0.70 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[759, 752])).
% 0.68/0.70 tff(761,plain,
% 0.68/0.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(762,plain,
% 0.68/0.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(763,plain,
% 0.68/0.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2)),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[762, 761])).
% 0.68/0.70 tff(764,plain,
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% 0.68/0.70 inference(unit_resolution,[status(thm)],[763, 760, 750])).
% 0.68/0.70 tff(765,plain,
% 0.68/0.70 (m_main_v_turn(s4, c_2)),
% 0.68/0.70 inference(unit_resolution,[status(thm)],[764, 532, 592])).
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% 0.68/0.70 inference(rewrite,[status(thm)],[])).
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% 0.68/0.70 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))),
% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(768,plain,
% 0.68/0.70 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[767, 766])).
% 0.68/0.70 tff(769,plain,
% 0.68/0.70 (~m_main_v_turn(s4, c_1)),
% 0.68/0.70 inference(unit_resolution,[status(thm)],[768, 156, 765])).
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% 0.68/0.70 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 0.68/0.70 inference(bind,[status(th)],[])).
% 0.68/0.70 tff(771,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.68/0.70 inference(quant_intro,[status(thm)],[770])).
% 0.68/0.70 tff(772,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(773,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_24')).
% 0.68/0.70 tff(774,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[773, 772])).
% 0.68/0.70 tff(775,plain,(
% 0.68/0.70 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.68/0.70 inference(skolemize,[status(sab)],[774])).
% 0.68/0.70 tff(776,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[775, 771])).
% 0.68/0.70 tff(777,plain,
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% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(778,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(779,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[778, 777])).
% 0.68/0.70 tff(780,plain,
% 0.68/0.70 (~node5(s4)),
% 0.68/0.70 inference(unit_resolution,[status(thm)],[779, 776, 769])).
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% 0.68/0.70 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 0.68/0.70 inference(bind,[status(th)],[])).
% 0.68/0.70 tff(782,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.68/0.70 inference(quant_intro,[status(thm)],[781])).
% 0.68/0.70 tff(783,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(784,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_16')).
% 0.68/0.70 tff(785,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[784, 783])).
% 0.68/0.70 tff(786,plain,(
% 0.68/0.70 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.68/0.70 inference(skolemize,[status(sab)],[785])).
% 0.68/0.70 tff(787,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[786, 782])).
% 0.68/0.70 tff(788,plain,
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% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(789,plain,
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% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(790,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[789, 788])).
% 0.68/0.70 tff(791,plain,
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% 0.68/0.70 inference(unit_resolution,[status(thm)],[790, 787, 660])).
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% 0.68/0.70 inference(bind,[status(th)],[])).
% 0.68/0.70 tff(793,plain,
% 0.68/0.70 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 0.68/0.70 inference(quant_intro,[status(thm)],[792])).
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% 0.68/0.70 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(795,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_18')).
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% 0.68/0.70 tff(797,plain,(
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% 0.68/0.70 inference(skolemize,[status(sab)],[796])).
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% 0.68/0.70 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
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% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(800,plain,
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% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(801,plain,
% 0.68/0.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[800, 799])).
% 0.68/0.70 tff(802,plain,
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% 0.68/0.70 inference(rewrite,[status(thm)],[])).
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% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
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% 0.68/0.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 0.68/0.70 inference(modus_ponens,[status(thm)],[804, 803])).
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% 0.68/0.70 inference(unit_resolution,[status(thm)],[805, 388, 701])).
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% 0.68/0.70 inference(rewrite,[status(thm)],[])).
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% 0.68/0.70 inference(quant_inst,[status(thm)],[])).
% 0.68/0.70 tff(809,plain,
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% 0.68/0.70 inference(modus_ponens,[status(thm)],[808, 807])).
% 0.68/0.70 tff(810,plain,
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% 0.68/0.70 inference(bind,[status(th)],[])).
% 0.68/0.70 tff(812,plain,
% 0.68/0.70 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.68/0.70 inference(quant_intro,[status(thm)],[811])).
% 0.68/0.70 tff(813,plain,
% 0.68/0.70 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.68/0.70 inference(rewrite,[status(thm)],[])).
% 0.68/0.70 tff(814,plain,
% 0.68/0.70 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))))),
% 0.68/0.71 inference(bind,[status(th)],[])).
% 0.68/0.71 tff(815,plain,
% 0.68/0.71 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.68/0.71 inference(quant_intro,[status(thm)],[814])).
% 0.68/0.71 tff(816,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_33')).
% 0.68/0.71 tff(817,plain,
% 0.68/0.71 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[816, 815])).
% 0.68/0.71 tff(818,plain,
% 0.68/0.71 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[817, 813])).
% 0.68/0.71 tff(819,plain,(
% 0.68/0.71 ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.68/0.71 inference(skolemize,[status(sab)],[818])).
% 0.68/0.71 tff(820,plain,
% 0.68/0.71 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[819, 812])).
% 0.68/0.71 tff(821,plain,
% 0.68/0.71 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(822,plain,
% 0.68/0.71 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(823,plain,
% 0.68/0.71 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[822, 821])).
% 0.68/0.71 tff(824,plain,
% 0.68/0.71 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[823, 820, 810])).
% 0.68/0.71 tff(825,plain,
% 0.68/0.71 (node6(s4, s5)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[824, 806, 668, 802, 791, 780, 746])).
% 0.68/0.71 tff(826,plain,
% 0.68/0.71 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 0.68/0.71 inference(bind,[status(th)],[])).
% 0.68/0.71 tff(827,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(quant_intro,[status(thm)],[826])).
% 0.68/0.71 tff(828,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(829,plain,
% 0.68/0.71 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 0.68/0.71 inference(bind,[status(th)],[])).
% 0.68/0.71 tff(830,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(quant_intro,[status(thm)],[829])).
% 0.68/0.71 tff(831,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_26')).
% 0.68/0.71 tff(832,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[831, 830])).
% 0.68/0.71 tff(833,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[832, 828])).
% 0.68/0.71 tff(834,plain,(
% 0.68/0.71 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(skolemize,[status(sab)],[833])).
% 0.68/0.71 tff(835,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[834, 827])).
% 0.68/0.71 tff(836,plain,
% 0.68/0.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(837,plain,
% 0.68/0.71 (((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1))) <=> (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(838,plain,
% 0.68/0.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))))),
% 0.68/0.71 inference(monotonicity,[status(thm)],[837])).
% 0.68/0.71 tff(839,plain,
% 0.68/0.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 0.68/0.71 inference(transitivity,[status(thm)],[838, 836])).
% 0.68/0.71 tff(840,plain,
% 0.68/0.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(841,plain,
% 0.68/0.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[840, 839])).
% 0.68/0.71 tff(842,plain,
% 0.68/0.71 (~m_main_v_state1(s5, c_n1)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[841, 835, 660, 825])).
% 0.68/0.71 tff(843,plain,
% 0.68/0.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(844,plain,
% 0.68/0.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(845,plain,
% 0.68/0.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[844, 843])).
% 0.68/0.71 tff(846,plain,
% 0.68/0.71 (~node2(s5)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[845, 787, 842])).
% 0.68/0.71 tff(847,plain,
% 0.68/0.71 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)))),
% 0.68/0.71 inference(bind,[status(th)],[])).
% 0.68/0.71 tff(848,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.68/0.71 inference(quant_intro,[status(thm)],[847])).
% 0.68/0.71 tff(849,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(850,plain,
% 0.68/0.71 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) <=> ((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> (((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))))), rewrite((((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))))),
% 0.68/0.71 inference(bind,[status(th)],[])).
% 0.68/0.71 tff(851,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.68/0.71 inference(quant_intro,[status(thm)],[850])).
% 0.68/0.71 tff(852,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_25')).
% 0.68/0.71 tff(853,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[852, 851])).
% 0.68/0.71 tff(854,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[853, 849])).
% 0.68/0.71 tff(855,plain,(
% 0.68/0.71 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.68/0.71 inference(skolemize,[status(sab)],[854])).
% 0.68/0.71 tff(856,plain,
% 0.68/0.71 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[855, 848])).
% 0.68/0.71 tff(857,plain,
% 0.68/0.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(858,plain,
% 0.68/0.71 (((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1)) <=> ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(859,plain,
% 0.68/0.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))))),
% 0.68/0.71 inference(monotonicity,[status(thm)],[858])).
% 0.68/0.71 tff(860,plain,
% 0.68/0.71 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 0.68/0.71 inference(transitivity,[status(thm)],[859, 857])).
% 0.68/0.71 tff(861,plain,
% 0.68/0.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(862,plain,
% 0.68/0.71 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[861, 860])).
% 0.68/0.71 tff(863,plain,
% 0.68/0.71 (m_main_v_state1(s5, c_t1)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[862, 856, 656, 825])).
% 0.68/0.71 tff(864,plain,
% 0.68/0.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(865,plain,
% 0.68/0.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(866,plain,
% 0.68/0.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[865, 864])).
% 0.68/0.71 tff(867,plain,
% 0.68/0.71 (~m_main_v_state2(s5, c_t2)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[866, 77, 734])).
% 0.68/0.71 tff(868,plain,
% 0.68/0.71 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(869,plain,
% 0.68/0.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(870,plain,
% 0.68/0.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[869, 868])).
% 0.68/0.71 tff(871,plain,
% 0.68/0.71 (~node1(s5)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[870, 195, 867])).
% 0.68/0.71 tff(872,plain,
% 0.68/0.71 (succ(s5, s6) <=> succ(s5, s6)),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(873,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 0.68/0.71 tff(874,plain,
% 0.68/0.71 (succ(s5, s6)),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[873, 872])).
% 0.68/0.71 tff(875,plain,
% 0.68/0.71 (((~![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))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(876,plain,
% 0.68/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(877,plain,
% 0.68/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[876, 875])).
% 0.68/0.71 tff(878,plain,
% 0.68/0.71 (trans(s5, s6)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[877, 874, 32])).
% 0.68/0.71 tff(879,plain,
% 0.68/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(880,plain,
% 0.68/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 0.68/0.71 inference(quant_inst,[status(thm)],[])).
% 0.68/0.71 tff(881,plain,
% 0.68/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[880, 879])).
% 0.68/0.71 tff(882,plain,
% 0.68/0.71 (node7(s5, s6)),
% 0.68/0.71 inference(unit_resolution,[status(thm)],[881, 206, 878])).
% 0.68/0.71 tff(883,plain,
% 0.68/0.71 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 0.68/0.71 inference(bind,[status(th)],[])).
% 0.68/0.71 tff(884,plain,
% 0.68/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.68/0.71 inference(quant_intro,[status(thm)],[883])).
% 0.68/0.71 tff(885,plain,
% 0.68/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(886,plain,
% 0.68/0.71 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 0.68/0.71 inference(bind,[status(th)],[])).
% 0.68/0.71 tff(887,plain,
% 0.68/0.71 (![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.68/0.71 inference(quant_intro,[status(thm)],[886])).
% 0.68/0.71 tff(888,axiom,(![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_30')).
% 0.68/0.71 tff(889,plain,
% 0.68/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[888, 887])).
% 0.68/0.71 tff(890,plain,
% 0.68/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[889, 885])).
% 0.68/0.71 tff(891,plain,(
% 0.68/0.71 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.68/0.71 inference(skolemize,[status(sab)],[890])).
% 0.68/0.71 tff(892,plain,
% 0.68/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.68/0.71 inference(modus_ponens,[status(thm)],[891, 884])).
% 0.68/0.71 tff(893,plain,
% 0.68/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(894,plain,
% 0.68/0.71 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1)) <=> ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 0.68/0.71 inference(rewrite,[status(thm)],[])).
% 0.68/0.71 tff(895,plain,
% 0.68/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))))),
% 0.68/0.71 inference(monotonicity,[status(thm)],[894])).
% 0.68/0.71 tff(896,plain,
% 0.68/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 0.68/0.72 inference(transitivity,[status(thm)],[895, 893])).
% 0.68/0.72 tff(897,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(898,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[897, 896])).
% 0.68/0.72 tff(899,plain,
% 0.68/0.72 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[898, 892, 882])).
% 0.68/0.72 tff(900,plain,
% 0.68/0.72 (m_main_v_state1(s6, c_c1)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[899, 871, 734, 863, 846, 742])).
% 0.68/0.72 tff(901,plain,
% 0.68/0.72 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(902,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(903,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[902, 901])).
% 0.68/0.72 tff(904,plain,
% 0.68/0.72 (~m_main_v_state1(s6, c_t1)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[903, 539, 900])).
% 0.68/0.72 tff(905,plain,
% 0.68/0.72 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(906,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(907,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[906, 905])).
% 0.68/0.72 tff(908,plain,
% 0.68/0.72 (~node5(s6)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[907, 550, 904])).
% 0.68/0.72 tff(909,plain,
% 0.68/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(910,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(911,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[910, 909])).
% 0.68/0.72 tff(912,plain,
% 0.68/0.72 (node14(s5, s6)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[911, 46, 878])).
% 0.68/0.72 tff(913,plain,
% 0.68/0.72 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 0.68/0.72 inference(bind,[status(th)],[])).
% 0.68/0.72 tff(914,plain,
% 0.68/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.68/0.72 inference(quant_intro,[status(thm)],[913])).
% 0.68/0.72 tff(915,plain,
% 0.68/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(916,plain,
% 0.68/0.72 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 0.68/0.72 inference(bind,[status(th)],[])).
% 0.68/0.72 tff(917,plain,
% 0.68/0.72 (![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.68/0.72 inference(quant_intro,[status(thm)],[916])).
% 0.68/0.72 tff(918,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_48')).
% 0.68/0.72 tff(919,plain,
% 0.68/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[918, 917])).
% 0.68/0.72 tff(920,plain,
% 0.68/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[919, 915])).
% 0.68/0.72 tff(921,plain,(
% 0.68/0.72 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.68/0.72 inference(skolemize,[status(sab)],[920])).
% 0.68/0.72 tff(922,plain,
% 0.68/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[921, 914])).
% 0.68/0.72 tff(923,plain,
% 0.68/0.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(924,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(925,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[924, 923])).
% 0.68/0.72 tff(926,plain,
% 0.68/0.72 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[925, 922, 912])).
% 0.68/0.72 tff(927,plain,
% 0.68/0.72 (m_main_v_state2(s6, c_t2)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[926, 863, 734])).
% 0.68/0.72 tff(928,plain,
% 0.68/0.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(929,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(930,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[929, 928])).
% 0.68/0.72 tff(931,plain,
% 0.68/0.72 (~m_main_v_state2(s6, c_n2)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[930, 77, 927])).
% 0.68/0.72 tff(932,plain,
% 0.68/0.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(933,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(934,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[933, 932])).
% 0.68/0.72 tff(935,plain,
% 0.68/0.72 (~node4(s6)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[934, 388, 931])).
% 0.68/0.72 tff(936,plain,
% 0.68/0.72 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(937,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(938,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[937, 936])).
% 0.68/0.72 tff(939,plain,
% 0.68/0.72 (~m_main_v_state2(s6, c_c2)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[938, 260, 927])).
% 0.68/0.72 tff(940,plain,
% 0.68/0.72 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(941,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(942,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[941, 940])).
% 0.68/0.72 tff(943,plain,
% 0.68/0.72 (~node3(s6)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[942, 399, 939])).
% 0.68/0.72 tff(944,plain,
% 0.68/0.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(945,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(946,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[945, 944])).
% 0.68/0.72 tff(947,plain,
% 0.68/0.72 (~node2(s6)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[946, 410, 931])).
% 0.68/0.72 tff(948,plain,
% 0.68/0.72 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(949,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(950,plain,
% 0.68/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[949, 948])).
% 0.68/0.72 tff(951,plain,
% 0.68/0.72 (~m_main_v_state1(s6, c_n1)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[950, 454, 900])).
% 0.68/0.72 tff(952,plain,
% 0.68/0.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(953,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(954,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[953, 952])).
% 0.68/0.72 tff(955,plain,
% 0.68/0.72 (~node1(s6)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[954, 421, 951])).
% 0.68/0.72 tff(956,plain,
% 0.68/0.72 (succ(s6, s7) <=> succ(s6, s7)),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(957,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 0.68/0.72 tff(958,plain,
% 0.68/0.72 (succ(s6, s7)),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[957, 956])).
% 0.68/0.72 tff(959,plain,
% 0.68/0.72 (((~![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))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(960,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(961,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[960, 959])).
% 0.68/0.72 tff(962,plain,
% 0.68/0.72 (trans(s6, s7)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[961, 958, 32])).
% 0.68/0.72 tff(963,plain,
% 0.68/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(964,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(965,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[964, 963])).
% 0.68/0.72 tff(966,plain,
% 0.68/0.72 (node7(s6, s7)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[965, 206, 962])).
% 0.68/0.72 tff(967,plain,
% 0.68/0.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(968,plain,
% 0.68/0.72 (((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1)) <=> (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(969,plain,
% 0.68/0.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))))),
% 0.68/0.72 inference(monotonicity,[status(thm)],[968])).
% 0.68/0.72 tff(970,plain,
% 0.68/0.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 0.68/0.72 inference(transitivity,[status(thm)],[969, 967])).
% 0.68/0.72 tff(971,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(972,plain,
% 0.68/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[971, 970])).
% 0.68/0.72 tff(973,plain,
% 0.68/0.72 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[972, 584, 966])).
% 0.68/0.72 tff(974,plain,
% 0.68/0.72 (m_main_v_state1(s7, c_n1)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[973, 955, 900, 947, 943, 935, 908])).
% 0.68/0.72 tff(975,plain,
% 0.68/0.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.72 tff(976,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 0.68/0.72 inference(quant_inst,[status(thm)],[])).
% 0.68/0.72 tff(977,plain,
% 0.68/0.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 0.68/0.72 inference(modus_ponens,[status(thm)],[976, 975])).
% 0.68/0.72 tff(978,plain,
% 0.68/0.72 (~node15(s5)),
% 0.68/0.72 inference(unit_resolution,[status(thm)],[977, 103, 867])).
% 0.68/0.72 tff(979,plain,
% 0.68/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6))),
% 0.68/0.72 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(980,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(981,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[980, 979])).
% 0.68/0.73 tff(982,plain,
% 0.68/0.73 (node18(s5, s6)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[981, 125, 878])).
% 0.68/0.73 tff(983,plain,
% 0.68/0.73 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)))),
% 0.68/0.73 inference(bind,[status(th)],[])).
% 0.68/0.73 tff(984,plain,
% 0.68/0.73 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.68/0.73 inference(quant_intro,[status(thm)],[983])).
% 0.68/0.73 tff(985,plain,
% 0.68/0.73 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(986,plain,
% 0.68/0.73 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))))),
% 0.68/0.73 inference(bind,[status(th)],[])).
% 0.68/0.73 tff(987,plain,
% 0.68/0.73 (![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.68/0.73 inference(quant_intro,[status(thm)],[986])).
% 0.68/0.73 tff(988,axiom,(![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_63')).
% 0.68/0.73 tff(989,plain,
% 0.68/0.73 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[988, 987])).
% 0.68/0.73 tff(990,plain,
% 0.68/0.73 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[989, 985])).
% 0.68/0.73 tff(991,plain,(
% 0.68/0.73 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.68/0.73 inference(skolemize,[status(sab)],[990])).
% 0.68/0.73 tff(992,plain,
% 0.68/0.73 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[991, 984])).
% 0.68/0.73 tff(993,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(994,plain,
% 0.68/0.73 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1)) <=> (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(995,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)))),
% 0.68/0.73 inference(monotonicity,[status(thm)],[994])).
% 0.68/0.73 tff(996,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 0.68/0.73 inference(transitivity,[status(thm)],[995, 993])).
% 0.68/0.73 tff(997,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(998,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[997, 996])).
% 0.68/0.73 tff(999,plain,
% 0.68/0.73 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[998, 992, 982])).
% 0.68/0.73 tff(1000,plain,
% 0.68/0.73 (m_main_v_turn(s6, c_1)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[999, 978, 734, 863])).
% 0.68/0.73 tff(1001,plain,
% 0.68/0.73 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1002,plain,
% 0.68/0.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1003,plain,
% 0.68/0.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 0.68/0.73 tff(1004,plain,
% 0.68/0.73 (~m_main_v_turn(s6, c_2)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1003, 156, 1000])).
% 0.68/0.73 tff(1005,plain,
% 0.68/0.73 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1006,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1007,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 0.68/0.73 tff(1008,plain,
% 0.68/0.73 (~node12(s6)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1007, 184, 1004])).
% 0.68/0.73 tff(1009,plain,
% 0.68/0.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1010,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1011,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 0.68/0.73 tff(1012,plain,
% 0.68/0.73 (~node8(s6)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1011, 271, 931])).
% 0.68/0.73 tff(1013,plain,
% 0.68/0.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1014,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1015,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 0.68/0.73 tff(1016,plain,
% 0.68/0.73 (~node9(s6)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1015, 88, 931])).
% 0.68/0.73 tff(1017,plain,
% 0.68/0.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1018,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1019,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 0.68/0.73 tff(1020,plain,
% 0.68/0.73 (~node10(s6)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1019, 249, 931])).
% 0.68/0.73 tff(1021,plain,
% 0.68/0.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1022,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1023,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 0.68/0.73 tff(1024,plain,
% 0.68/0.73 (~node11(s6)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1023, 238, 951])).
% 0.68/0.73 tff(1025,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1026,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1027,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 0.68/0.73 tff(1028,plain,
% 0.68/0.73 (node14(s6, s7)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1027, 46, 962])).
% 0.68/0.73 tff(1029,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1030,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1031,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 0.68/0.73 tff(1032,plain,
% 0.68/0.73 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1031, 296, 1028])).
% 0.68/0.73 tff(1033,plain,
% 0.68/0.73 (node13(s6, s7)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1032, 1024, 939, 1020, 1016, 1012, 1008])).
% 0.68/0.73 tff(1034,plain,
% 0.68/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1035,plain,
% 0.68/0.73 (((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2)) <=> ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1036,plain,
% 0.68/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))))),
% 0.68/0.73 inference(monotonicity,[status(thm)],[1035])).
% 0.68/0.73 tff(1037,plain,
% 0.68/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 0.68/0.73 inference(transitivity,[status(thm)],[1036, 1034])).
% 0.68/0.73 tff(1038,plain,
% 0.68/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1039,plain,
% 0.68/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 0.68/0.73 tff(1040,plain,
% 0.68/0.73 (m_main_v_state2(s7, c_t2)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1039, 518, 927, 1033])).
% 0.68/0.73 tff(1041,plain,
% 0.68/0.73 (succ(s7, s8) <=> succ(s7, s8)),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1042,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 0.68/0.73 tff(1043,plain,
% 0.68/0.73 (succ(s7, s8)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 0.68/0.73 tff(1044,plain,
% 0.68/0.73 (((~![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))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1045,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1046,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 0.68/0.73 tff(1047,plain,
% 0.68/0.73 (trans(s7, s8)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1046, 1043, 32])).
% 0.68/0.73 tff(1048,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1049,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1050,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 0.68/0.73 tff(1051,plain,
% 0.68/0.73 (node7(s7, s8)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1050, 206, 1047])).
% 0.68/0.73 tff(1052,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1053,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1054,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 0.68/0.73 tff(1055,plain,
% 0.68/0.73 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1054, 651, 1051])).
% 0.68/0.73 tff(1056,plain,
% 0.68/0.73 (m_main_v_state1(s8, c_t1)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1055, 1040, 974])).
% 0.68/0.73 tff(1057,plain,
% 0.68/0.73 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1058,plain,
% 0.68/0.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1059,plain,
% 0.68/0.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 0.68/0.73 tff(1060,plain,
% 0.68/0.73 (~m_main_v_state1(s8, c_n1)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1059, 10, 1056])).
% 0.68/0.73 tff(1061,plain,
% 0.68/0.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1062,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1063,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 0.68/0.73 tff(1064,plain,
% 0.68/0.73 (~node1(s8)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1063, 421, 1060])).
% 0.68/0.73 tff(1065,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1066,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1067,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 0.68/0.73 tff(1068,plain,
% 0.68/0.73 (node18(s7, s8)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1067, 125, 1047])).
% 0.68/0.73 tff(1069,plain,
% 0.68/0.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1070,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1071,plain,
% 0.68/0.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2)),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 0.68/0.73 tff(1072,plain,
% 0.68/0.73 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1071, 760, 1068])).
% 0.68/0.73 tff(1073,plain,
% 0.68/0.73 (m_main_v_turn(s8, c_2)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1072, 1040, 974])).
% 0.68/0.73 tff(1074,plain,
% 0.68/0.73 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1075,plain,
% 0.68/0.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1076,plain,
% 0.68/0.73 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 0.68/0.73 tff(1077,plain,
% 0.68/0.73 (~m_main_v_turn(s8, c_1)),
% 0.68/0.73 inference(unit_resolution,[status(thm)],[1076, 156, 1073])).
% 0.68/0.73 tff(1078,plain,
% 0.68/0.73 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 0.68/0.73 inference(rewrite,[status(thm)],[])).
% 0.68/0.73 tff(1079,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 0.68/0.73 inference(quant_inst,[status(thm)],[])).
% 0.68/0.73 tff(1080,plain,
% 0.68/0.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 0.68/0.73 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 0.68/0.73 tff(1081,plain,
% 0.68/0.74 (~node5(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1080, 776, 1077])).
% 0.68/0.74 tff(1082,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1083,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1084,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 0.68/0.74 tff(1085,plain,
% 0.68/0.74 (~node2(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1084, 787, 1060])).
% 0.68/0.74 tff(1086,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1087,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1088,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 0.68/0.74 tff(1089,plain,
% 0.68/0.74 (~node3(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1088, 798, 1060])).
% 0.68/0.74 tff(1090,plain,
% 0.68/0.74 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1091,plain,
% 0.68/0.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1092,plain,
% 0.68/0.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 0.68/0.74 tff(1093,plain,
% 0.68/0.74 (~m_main_v_state1(s8, c_c1)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1092, 539, 1056])).
% 0.68/0.74 tff(1094,plain,
% 0.68/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1095,plain,
% 0.68/0.74 (((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2))) <=> (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1096,plain,
% 0.68/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))))),
% 0.68/0.74 inference(monotonicity,[status(thm)],[1095])).
% 0.68/0.74 tff(1097,plain,
% 0.68/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 0.68/0.74 inference(transitivity,[status(thm)],[1096, 1094])).
% 0.68/0.74 tff(1098,plain,
% 0.68/0.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1099,plain,
% 0.68/0.74 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 0.68/0.74 tff(1100,plain,
% 0.68/0.74 (~m_main_v_state2(s7, c_n2)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1099, 311, 931, 1033])).
% 0.68/0.74 tff(1101,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1102,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1103,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 0.68/0.74 tff(1104,plain,
% 0.68/0.74 (~node9(s7)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1103, 88, 1100])).
% 0.68/0.74 tff(1105,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1106,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1107,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 0.68/0.74 tff(1108,plain,
% 0.68/0.74 (~node10(s7)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1107, 249, 1100])).
% 0.68/0.74 tff(1109,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1110,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1111,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 0.68/0.74 tff(1112,plain,
% 0.68/0.74 (~node8(s7)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1111, 271, 1100])).
% 0.68/0.74 tff(1113,plain,
% 0.68/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1114,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1115,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 0.68/0.74 tff(1116,plain,
% 0.68/0.74 (node14(s7, s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1115, 46, 1047])).
% 0.68/0.74 tff(1117,plain,
% 0.68/0.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1118,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1119,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2)),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 0.68/0.74 tff(1120,plain,
% 0.68/0.74 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | m_main_v_state2(s8, c_c2)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1119, 617, 1116])).
% 0.68/0.74 tff(1121,plain,
% 0.68/0.74 (m_main_v_state2(s8, c_c2)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1120, 1112, 974, 1040, 1108, 1104])).
% 0.68/0.74 tff(1122,plain,
% 0.68/0.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1123,plain,
% 0.68/0.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1124,plain,
% 0.68/0.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 0.68/0.74 tff(1125,plain,
% 0.68/0.74 (~m_main_v_state2(s8, c_n2)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1124, 697, 1121])).
% 0.68/0.74 tff(1126,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1127,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1128,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 0.68/0.74 tff(1129,plain,
% 0.68/0.74 (~node4(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1128, 388, 1125])).
% 0.68/0.74 tff(1130,plain,
% 0.68/0.74 (succ(s8, s9) <=> succ(s8, s9)),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1131,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 0.68/0.74 tff(1132,plain,
% 0.68/0.74 (succ(s8, s9)),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 0.68/0.74 tff(1133,plain,
% 0.68/0.74 (((~![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))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1134,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1135,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 0.68/0.74 tff(1136,plain,
% 0.68/0.74 (trans(s8, s9)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1135, 1132, 32])).
% 0.68/0.74 tff(1137,plain,
% 0.68/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1138,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1139,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 0.68/0.74 tff(1140,plain,
% 0.68/0.74 (node7(s8, s9)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1139, 206, 1136])).
% 0.68/0.74 tff(1141,plain,
% 0.68/0.74 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1142,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1143,plain,
% 0.68/0.74 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 0.68/0.74 tff(1144,plain,
% 0.68/0.74 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1143, 820, 1140])).
% 0.68/0.74 tff(1145,plain,
% 0.68/0.74 (node6(s8, s9)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1144, 1129, 1093, 1089, 1085, 1081, 1064])).
% 0.68/0.74 tff(1146,plain,
% 0.68/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1147,plain,
% 0.68/0.74 (((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1)) <=> ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1148,plain,
% 0.68/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))))),
% 0.68/0.74 inference(monotonicity,[status(thm)],[1147])).
% 0.68/0.74 tff(1149,plain,
% 0.68/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 0.68/0.74 inference(transitivity,[status(thm)],[1148, 1146])).
% 0.68/0.74 tff(1150,plain,
% 0.68/0.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1151,plain,
% 0.68/0.74 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 0.68/0.74 tff(1152,plain,
% 0.68/0.74 (m_main_v_state1(s9, c_t1)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1151, 856, 1056, 1145])).
% 0.68/0.74 tff(1153,plain,
% 0.68/0.74 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1154,plain,
% 0.68/0.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1155,plain,
% 0.68/0.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 0.68/0.74 tff(1156,plain,
% 0.68/0.74 (~m_main_v_state2(s8, c_t2)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1155, 260, 1121])).
% 0.68/0.74 tff(1157,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1158,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1159,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 0.68/0.74 tff(1160,plain,
% 0.68/0.74 (~node12(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1159, 633, 1156])).
% 0.68/0.74 tff(1161,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1162,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1163,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 0.68/0.74 tff(1164,plain,
% 0.68/0.74 (~node11(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1163, 238, 1060])).
% 0.68/0.74 tff(1165,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1166,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1167,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 0.68/0.74 tff(1168,plain,
% 0.68/0.74 (~node10(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1167, 675, 1093])).
% 0.68/0.74 tff(1169,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1170,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1171,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 0.68/0.74 tff(1172,plain,
% 0.68/0.74 (~node9(s8)),
% 0.68/0.74 inference(unit_resolution,[status(thm)],[1171, 686, 1060])).
% 0.68/0.74 tff(1173,plain,
% 0.68/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 0.68/0.74 inference(rewrite,[status(thm)],[])).
% 0.68/0.74 tff(1174,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 0.68/0.74 inference(quant_inst,[status(thm)],[])).
% 0.68/0.74 tff(1175,plain,
% 0.68/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 0.68/0.74 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 0.68/0.75 tff(1176,plain,
% 0.68/0.75 (~node8(s8)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1175, 271, 1125])).
% 0.68/0.75 tff(1177,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1178,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1179,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 0.68/0.75 tff(1180,plain,
% 0.68/0.75 (node14(s8, s9)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1179, 46, 1136])).
% 0.68/0.75 tff(1181,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1182,plain,
% 0.68/0.75 (((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2)) <=> (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1183,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))))),
% 0.68/0.75 inference(monotonicity,[status(thm)],[1182])).
% 0.68/0.75 tff(1184,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 0.68/0.75 inference(transitivity,[status(thm)],[1183, 1181])).
% 0.68/0.75 tff(1185,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1186,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 0.68/0.75 tff(1187,plain,
% 0.68/0.75 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1186, 726, 1180])).
% 0.68/0.75 tff(1188,plain,
% 0.68/0.75 (m_main_v_state2(s9, c_n2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1187, 1176, 1121, 1172, 1168, 1164, 1160])).
% 0.68/0.75 tff(1189,plain,
% 0.68/0.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1190,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1191,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 0.68/0.75 tff(1192,plain,
% 0.68/0.75 (~m_main_v_state2(s9, c_t2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1191, 77, 1188])).
% 0.68/0.75 tff(1193,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1194,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1195,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 0.68/0.75 tff(1196,plain,
% 0.68/0.75 (~node15(s9)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1195, 103, 1192])).
% 0.68/0.75 tff(1197,plain,
% 0.68/0.75 (succ(s9, s10) <=> succ(s9, s10)),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1198,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 0.68/0.75 tff(1199,plain,
% 0.68/0.75 (succ(s9, s10)),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 0.68/0.75 tff(1200,plain,
% 0.68/0.75 (((~![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))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1201,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1202,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 0.68/0.75 tff(1203,plain,
% 0.68/0.75 (trans(s9, s10)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1202, 1199, 32])).
% 0.68/0.75 tff(1204,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1205,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1206,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 0.68/0.75 tff(1207,plain,
% 0.68/0.75 (node18(s9, s10)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1206, 125, 1203])).
% 0.68/0.75 tff(1208,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1209,plain,
% 0.68/0.75 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1)) <=> (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1210,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)))),
% 0.68/0.75 inference(monotonicity,[status(thm)],[1209])).
% 0.68/0.75 tff(1211,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 0.68/0.75 inference(transitivity,[status(thm)],[1210, 1208])).
% 0.68/0.75 tff(1212,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1213,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 0.68/0.75 tff(1214,plain,
% 0.68/0.75 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1213, 992, 1207])).
% 0.68/0.75 tff(1215,plain,
% 0.68/0.75 (m_main_v_turn(s10, c_1)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1214, 1196, 1188, 1152])).
% 0.68/0.75 tff(1216,plain,
% 0.68/0.75 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1217,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1218,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 0.68/0.75 tff(1219,plain,
% 0.68/0.75 (~m_main_v_turn(s10, c_2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1218, 156, 1215])).
% 0.68/0.75 tff(1220,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1221,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1222,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 0.68/0.75 tff(1223,plain,
% 0.68/0.75 (~node12(s10)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1222, 184, 1219])).
% 0.68/0.75 tff(1224,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1225,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1226,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 0.68/0.75 tff(1227,plain,
% 0.68/0.75 (node14(s9, s10)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1226, 46, 1203])).
% 0.68/0.75 tff(1228,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1229,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1230,plain,
% 0.68/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2)),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1229, 1228])).
% 0.68/0.75 tff(1231,plain,
% 0.68/0.75 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1230, 922, 1227])).
% 0.68/0.75 tff(1232,plain,
% 0.68/0.75 (m_main_v_state2(s10, c_t2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1231, 1152, 1188])).
% 0.68/0.75 tff(1233,plain,
% 0.68/0.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1234,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1235,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 0.68/0.75 tff(1236,plain,
% 0.68/0.75 (~m_main_v_state2(s10, c_n2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1235, 77, 1232])).
% 0.68/0.75 tff(1237,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1238,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1239,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 0.68/0.75 tff(1240,plain,
% 0.68/0.75 (~node8(s10)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1239, 271, 1236])).
% 0.68/0.75 tff(1241,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1242,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1243,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 0.68/0.75 tff(1244,plain,
% 0.68/0.75 (~node9(s10)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1243, 88, 1236])).
% 0.68/0.75 tff(1245,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1246,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1247,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 0.68/0.75 tff(1248,plain,
% 0.68/0.75 (~node10(s10)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1247, 249, 1236])).
% 0.68/0.75 tff(1249,plain,
% 0.68/0.75 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1250,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1251,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 0.68/0.75 tff(1252,plain,
% 0.68/0.75 (~m_main_v_state2(s10, c_c2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1251, 260, 1232])).
% 0.68/0.75 tff(1253,plain,
% 0.68/0.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1254,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1255,plain,
% 0.68/0.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 0.68/0.75 tff(1256,plain,
% 0.68/0.75 (~m_main_v_state2(s9, c_c2)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1255, 697, 1188])).
% 0.68/0.75 tff(1257,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1258,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1259,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 0.68/0.75 tff(1260,plain,
% 0.68/0.75 (~node3(s9)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1259, 399, 1256])).
% 0.68/0.75 tff(1261,plain,
% 0.68/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1262,plain,
% 0.68/0.75 (((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1))) <=> (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1263,plain,
% 0.68/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))))),
% 0.68/0.75 inference(monotonicity,[status(thm)],[1262])).
% 0.68/0.75 tff(1264,plain,
% 0.68/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 0.68/0.75 inference(transitivity,[status(thm)],[1263, 1261])).
% 0.68/0.75 tff(1265,plain,
% 0.68/0.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1266,plain,
% 0.68/0.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 0.68/0.75 tff(1267,plain,
% 0.68/0.75 (~m_main_v_state1(s9, c_n1)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1266, 835, 1060, 1145])).
% 0.68/0.75 tff(1268,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1269,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1270,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 0.68/0.75 tff(1271,plain,
% 0.68/0.75 (~node2(s9)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1270, 787, 1267])).
% 0.68/0.75 tff(1272,plain,
% 0.68/0.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 0.68/0.75 inference(rewrite,[status(thm)],[])).
% 0.68/0.75 tff(1273,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 0.68/0.75 inference(quant_inst,[status(thm)],[])).
% 0.68/0.75 tff(1274,plain,
% 0.68/0.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 0.68/0.75 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 0.68/0.75 tff(1275,plain,
% 0.68/0.75 (~node1(s9)),
% 0.68/0.75 inference(unit_resolution,[status(thm)],[1274, 195, 1192])).
% 0.68/0.75 tff(1276,plain,
% 0.68/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1277,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 0.68/0.76 inference(quant_inst,[status(thm)],[])).
% 0.68/0.76 tff(1278,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 0.68/0.76 tff(1279,plain,
% 0.68/0.76 (node7(s9, s10)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1278, 206, 1203])).
% 0.68/0.76 tff(1280,plain,
% 0.68/0.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1281,plain,
% 0.68/0.76 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1)) <=> ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1282,plain,
% 0.68/0.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))))),
% 0.68/0.76 inference(monotonicity,[status(thm)],[1281])).
% 0.68/0.76 tff(1283,plain,
% 0.68/0.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 0.68/0.76 inference(transitivity,[status(thm)],[1282, 1280])).
% 0.68/0.76 tff(1284,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))),
% 0.68/0.76 inference(quant_inst,[status(thm)],[])).
% 0.68/0.76 tff(1285,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 0.68/0.76 tff(1286,plain,
% 0.68/0.76 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1285, 892, 1279])).
% 0.68/0.76 tff(1287,plain,
% 0.68/0.76 (m_main_v_state1(s10, c_c1)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1286, 1275, 1188, 1152, 1271, 1260])).
% 0.68/0.76 tff(1288,plain,
% 0.68/0.76 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1289,plain,
% 0.68/0.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.68/0.76 inference(quant_inst,[status(thm)],[])).
% 0.68/0.76 tff(1290,plain,
% 0.68/0.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1))),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 0.68/0.76 tff(1291,plain,
% 0.68/0.76 (~m_main_v_state1(s10, c_n1)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1290, 454, 1287])).
% 0.68/0.76 tff(1292,plain,
% 0.68/0.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1293,plain,
% 0.68/0.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 0.68/0.76 inference(quant_inst,[status(thm)],[])).
% 0.68/0.76 tff(1294,plain,
% 0.68/0.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 0.68/0.76 tff(1295,plain,
% 0.68/0.76 (~node11(s10)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1294, 238, 1291])).
% 0.68/0.76 tff(1296,plain,
% 0.68/0.76 (succ(s10, s11) <=> succ(s10, s11)),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1297,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 0.68/0.76 tff(1298,plain,
% 0.68/0.76 (succ(s10, s11)),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 0.68/0.76 tff(1299,plain,
% 0.68/0.76 (((~![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))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1300,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 0.68/0.76 inference(quant_inst,[status(thm)],[])).
% 0.68/0.76 tff(1301,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 0.68/0.76 tff(1302,plain,
% 0.68/0.76 (trans(s10, s11)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1301, 1298, 32])).
% 0.68/0.76 tff(1303,plain,
% 0.68/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1304,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 0.68/0.76 inference(quant_inst,[status(thm)],[])).
% 0.68/0.76 tff(1305,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 0.68/0.76 tff(1306,plain,
% 0.68/0.76 (node14(s10, s11)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1305, 46, 1302])).
% 0.68/0.76 tff(1307,plain,
% 0.68/0.76 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 0.68/0.76 inference(rewrite,[status(thm)],[])).
% 0.68/0.76 tff(1308,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 0.68/0.76 inference(quant_inst,[status(thm)],[])).
% 0.68/0.76 tff(1309,plain,
% 0.68/0.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11))),
% 0.68/0.76 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 0.68/0.76 tff(1310,plain,
% 0.68/0.76 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1309, 296, 1306])).
% 0.68/0.76 tff(1311,plain,
% 0.68/0.76 (node13(s10, s11)),
% 0.68/0.76 inference(unit_resolution,[status(thm)],[1310, 1295, 1252, 1248, 1244, 1240, 1223])).
% 0.68/0.76 tff(1312,plain,
% 0.68/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1313,plain,
% 0.74/0.76 (((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2))) <=> (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1314,plain,
% 0.74/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))))),
% 0.74/0.76 inference(monotonicity,[status(thm)],[1313])).
% 0.74/0.76 tff(1315,plain,
% 0.74/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 0.74/0.76 inference(transitivity,[status(thm)],[1314, 1312])).
% 0.74/0.76 tff(1316,plain,
% 0.74/0.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1317,plain,
% 0.74/0.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 0.74/0.76 tff(1318,plain,
% 0.74/0.76 (~m_main_v_state2(s11, c_n2)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1317, 311, 1236, 1311])).
% 0.74/0.76 tff(1319,plain,
% 0.74/0.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1320,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1321,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 0.74/0.76 tff(1322,plain,
% 0.74/0.76 (~node9(s11)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1321, 88, 1318])).
% 0.74/0.76 tff(1323,plain,
% 0.74/0.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1324,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1325,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 0.74/0.76 tff(1326,plain,
% 0.74/0.76 (~node10(s11)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1325, 249, 1318])).
% 0.74/0.76 tff(1327,plain,
% 0.74/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1328,plain,
% 0.74/0.76 (((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2)) <=> ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1329,plain,
% 0.74/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))))),
% 0.74/0.76 inference(monotonicity,[status(thm)],[1328])).
% 0.74/0.76 tff(1330,plain,
% 0.74/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 0.74/0.76 inference(transitivity,[status(thm)],[1329, 1327])).
% 0.74/0.76 tff(1331,plain,
% 0.74/0.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1332,plain,
% 0.74/0.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 0.74/0.76 tff(1333,plain,
% 0.74/0.76 (m_main_v_state2(s11, c_t2)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1332, 518, 1232, 1311])).
% 0.74/0.76 tff(1334,plain,
% 0.74/0.76 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1335,plain,
% 0.74/0.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1336,plain,
% 0.74/0.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 0.74/0.76 tff(1337,plain,
% 0.74/0.76 (~m_main_v_state1(s10, c_t1)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1336, 539, 1287])).
% 0.74/0.76 tff(1338,plain,
% 0.74/0.76 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1339,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1340,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 0.74/0.76 tff(1341,plain,
% 0.74/0.76 (~node5(s10)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1340, 550, 1337])).
% 0.74/0.76 tff(1342,plain,
% 0.74/0.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1343,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1344,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 0.74/0.76 tff(1345,plain,
% 0.74/0.76 (~node4(s10)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1344, 388, 1236])).
% 0.74/0.76 tff(1346,plain,
% 0.74/0.76 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1347,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1348,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 0.74/0.76 tff(1349,plain,
% 0.74/0.76 (~node3(s10)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1348, 399, 1252])).
% 0.74/0.76 tff(1350,plain,
% 0.74/0.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1351,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1352,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 0.74/0.76 tff(1353,plain,
% 0.74/0.76 (~node2(s10)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1352, 410, 1236])).
% 0.74/0.76 tff(1354,plain,
% 0.74/0.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1355,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1356,plain,
% 0.74/0.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 0.74/0.76 tff(1357,plain,
% 0.74/0.76 (~node1(s10)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1356, 421, 1291])).
% 0.74/0.76 tff(1358,plain,
% 0.74/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1359,plain,
% 0.74/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 0.74/0.76 inference(quant_inst,[status(thm)],[])).
% 0.74/0.76 tff(1360,plain,
% 0.74/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 0.74/0.76 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 0.74/0.76 tff(1361,plain,
% 0.74/0.76 (node7(s10, s11)),
% 0.74/0.76 inference(unit_resolution,[status(thm)],[1360, 206, 1302])).
% 0.74/0.76 tff(1362,plain,
% 0.74/0.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1363,plain,
% 0.74/0.76 (((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1)) <=> (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 0.74/0.76 inference(rewrite,[status(thm)],[])).
% 0.74/0.76 tff(1364,plain,
% 0.74/0.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))))),
% 0.74/0.77 inference(monotonicity,[status(thm)],[1363])).
% 0.74/0.77 tff(1365,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 0.74/0.77 inference(transitivity,[status(thm)],[1364, 1362])).
% 0.74/0.77 tff(1366,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1367,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 0.74/0.77 tff(1368,plain,
% 0.74/0.77 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1367, 584, 1361])).
% 0.74/0.77 tff(1369,plain,
% 0.74/0.77 (m_main_v_state1(s11, c_n1)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1368, 1357, 1287, 1353, 1349, 1345, 1341])).
% 0.74/0.77 tff(1370,plain,
% 0.74/0.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1371,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1372,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 0.74/0.77 tff(1373,plain,
% 0.74/0.77 (~node8(s11)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1372, 271, 1318])).
% 0.74/0.77 tff(1374,plain,
% 0.74/0.77 (succ(s11, s12) <=> succ(s11, s12)),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1375,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 0.74/0.77 tff(1376,plain,
% 0.74/0.77 (succ(s11, s12)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 0.74/0.77 tff(1377,plain,
% 0.74/0.77 (((~![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))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1378,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1379,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 0.74/0.77 tff(1380,plain,
% 0.74/0.77 (trans(s11, s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1379, 1376, 32])).
% 0.74/0.77 tff(1381,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1382,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1383,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 0.74/0.77 tff(1384,plain,
% 0.74/0.77 (node14(s11, s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1383, 46, 1380])).
% 0.74/0.77 tff(1385,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1386,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1387,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 0.74/0.77 tff(1388,plain,
% 0.74/0.77 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | m_main_v_state2(s12, c_c2)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1387, 617, 1384])).
% 0.74/0.77 tff(1389,plain,
% 0.74/0.77 (m_main_v_state2(s12, c_c2)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1388, 1373, 1369, 1333, 1326, 1322])).
% 0.74/0.77 tff(1390,plain,
% 0.74/0.77 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1391,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1392,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 0.74/0.77 tff(1393,plain,
% 0.74/0.77 (~m_main_v_state2(s12, c_t2)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1392, 260, 1389])).
% 0.74/0.77 tff(1394,plain,
% 0.74/0.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1395,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1396,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1395, 1394])).
% 0.74/0.77 tff(1397,plain,
% 0.74/0.77 (~node12(s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1396, 633, 1393])).
% 0.74/0.77 tff(1398,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1399,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1400,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 0.74/0.77 tff(1401,plain,
% 0.74/0.77 (node7(s11, s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1400, 206, 1380])).
% 0.74/0.77 tff(1402,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1403,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1404,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 0.74/0.77 tff(1405,plain,
% 0.74/0.77 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1404, 651, 1401])).
% 0.74/0.77 tff(1406,plain,
% 0.74/0.77 (m_main_v_state1(s12, c_t1)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1405, 1333, 1369])).
% 0.74/0.77 tff(1407,plain,
% 0.74/0.77 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1408,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1409,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1408, 1407])).
% 0.74/0.77 tff(1410,plain,
% 0.74/0.77 (~m_main_v_state1(s12, c_n1)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1409, 10, 1406])).
% 0.74/0.77 tff(1411,plain,
% 0.74/0.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1412,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1413,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 0.74/0.77 tff(1414,plain,
% 0.74/0.77 (~node11(s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1413, 238, 1410])).
% 0.74/0.77 tff(1415,plain,
% 0.74/0.77 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1416,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1417,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 0.74/0.77 tff(1418,plain,
% 0.74/0.77 (~m_main_v_state1(s12, c_c1)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1417, 539, 1406])).
% 0.74/0.77 tff(1419,plain,
% 0.74/0.77 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1420,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1421,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 0.74/0.77 tff(1422,plain,
% 0.74/0.77 (~node10(s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1421, 675, 1418])).
% 0.74/0.77 tff(1423,plain,
% 0.74/0.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1424,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1425,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 0.74/0.77 tff(1426,plain,
% 0.74/0.77 (~node9(s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1425, 686, 1410])).
% 0.74/0.77 tff(1427,plain,
% 0.74/0.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1428,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1429,plain,
% 0.74/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 0.74/0.77 tff(1430,plain,
% 0.74/0.77 (~m_main_v_state2(s12, c_n2)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1429, 697, 1389])).
% 0.74/0.77 tff(1431,plain,
% 0.74/0.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1432,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1433,plain,
% 0.74/0.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 0.74/0.77 tff(1434,plain,
% 0.74/0.77 (~node8(s12)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1433, 271, 1430])).
% 0.74/0.77 tff(1435,plain,
% 0.74/0.77 (succ(s12, s13) <=> succ(s12, s13)),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1436,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 0.74/0.77 tff(1437,plain,
% 0.74/0.77 (succ(s12, s13)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 0.74/0.77 tff(1438,plain,
% 0.74/0.77 (((~![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))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1439,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1440,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 0.74/0.77 tff(1441,plain,
% 0.74/0.77 (trans(s12, s13)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1440, 1437, 32])).
% 0.74/0.77 tff(1442,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1443,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1444,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 0.74/0.77 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 0.74/0.77 tff(1445,plain,
% 0.74/0.77 (node14(s12, s13)),
% 0.74/0.77 inference(unit_resolution,[status(thm)],[1444, 46, 1441])).
% 0.74/0.77 tff(1446,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1447,plain,
% 0.74/0.77 (((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2)) <=> (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 0.74/0.77 inference(rewrite,[status(thm)],[])).
% 0.74/0.77 tff(1448,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))))),
% 0.74/0.77 inference(monotonicity,[status(thm)],[1447])).
% 0.74/0.77 tff(1449,plain,
% 0.74/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 0.74/0.77 inference(transitivity,[status(thm)],[1448, 1446])).
% 0.74/0.77 tff(1450,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))),
% 0.74/0.77 inference(quant_inst,[status(thm)],[])).
% 0.74/0.77 tff(1451,plain,
% 0.74/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 0.74/0.78 tff(1452,plain,
% 0.74/0.78 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1451, 726, 1445])).
% 0.74/0.78 tff(1453,plain,
% 0.74/0.78 (m_main_v_state2(s13, c_n2)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1452, 1434, 1389, 1426, 1422, 1414, 1397])).
% 0.74/0.78 tff(1454,plain,
% 0.74/0.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1455,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1456,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 0.74/0.78 tff(1457,plain,
% 0.74/0.78 (~m_main_v_state2(s13, c_c2)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1456, 697, 1453])).
% 0.74/0.78 tff(1458,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1459,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1460,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 0.74/0.78 tff(1461,plain,
% 0.74/0.78 (~node3(s13)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1460, 399, 1457])).
% 0.74/0.78 tff(1462,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1463,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1464,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 0.74/0.78 tff(1465,plain,
% 0.74/0.78 (~node1(s12)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1464, 421, 1410])).
% 0.74/0.78 tff(1466,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1467,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1468,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 0.74/0.78 tff(1469,plain,
% 0.74/0.78 (node18(s11, s12)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1468, 125, 1380])).
% 0.74/0.78 tff(1470,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1471,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1472,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2)),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 0.74/0.78 tff(1473,plain,
% 0.74/0.78 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1472, 760, 1469])).
% 0.74/0.78 tff(1474,plain,
% 0.74/0.78 (m_main_v_turn(s12, c_2)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1473, 1333, 1369])).
% 0.74/0.78 tff(1475,plain,
% 0.74/0.78 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1476,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1477,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 0.74/0.78 tff(1478,plain,
% 0.74/0.78 (~m_main_v_turn(s12, c_1)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1477, 156, 1474])).
% 0.74/0.78 tff(1479,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1480,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1481,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 0.74/0.78 tff(1482,plain,
% 0.74/0.78 (~node5(s12)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1481, 776, 1478])).
% 0.74/0.78 tff(1483,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1484,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1485,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 0.74/0.78 tff(1486,plain,
% 0.74/0.78 (~node2(s12)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1485, 787, 1410])).
% 0.74/0.78 tff(1487,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1488,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1489,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 0.74/0.78 tff(1490,plain,
% 0.74/0.78 (~node3(s12)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1489, 798, 1410])).
% 0.74/0.78 tff(1491,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1492,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1493,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 0.74/0.78 tff(1494,plain,
% 0.74/0.78 (~node4(s12)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1493, 388, 1430])).
% 0.74/0.78 tff(1495,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1496,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1497,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 0.74/0.78 tff(1498,plain,
% 0.74/0.78 (node7(s12, s13)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1497, 206, 1441])).
% 0.74/0.78 tff(1499,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1500,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1501,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 0.74/0.78 tff(1502,plain,
% 0.74/0.78 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1501, 820, 1498])).
% 0.74/0.78 tff(1503,plain,
% 0.74/0.78 (node6(s12, s13)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1502, 1494, 1418, 1490, 1486, 1482, 1465])).
% 0.74/0.78 tff(1504,plain,
% 0.74/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1505,plain,
% 0.74/0.78 (((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1))) <=> (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1506,plain,
% 0.74/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))))),
% 0.74/0.78 inference(monotonicity,[status(thm)],[1505])).
% 0.74/0.78 tff(1507,plain,
% 0.74/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 0.74/0.78 inference(transitivity,[status(thm)],[1506, 1504])).
% 0.74/0.78 tff(1508,plain,
% 0.74/0.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1509,plain,
% 0.74/0.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 0.74/0.78 tff(1510,plain,
% 0.74/0.78 (~m_main_v_state1(s13, c_n1)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1509, 835, 1410, 1503])).
% 0.74/0.78 tff(1511,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1512,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1513,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 0.74/0.78 tff(1514,plain,
% 0.74/0.78 (~node2(s13)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1513, 787, 1510])).
% 0.74/0.78 tff(1515,plain,
% 0.74/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1516,plain,
% 0.74/0.78 (((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1)) <=> ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1517,plain,
% 0.74/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))))),
% 0.74/0.78 inference(monotonicity,[status(thm)],[1516])).
% 0.74/0.78 tff(1518,plain,
% 0.74/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 0.74/0.78 inference(transitivity,[status(thm)],[1517, 1515])).
% 0.74/0.78 tff(1519,plain,
% 0.74/0.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1520,plain,
% 0.74/0.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 0.74/0.78 tff(1521,plain,
% 0.74/0.78 (m_main_v_state1(s13, c_t1)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1520, 856, 1406, 1503])).
% 0.74/0.78 tff(1522,plain,
% 0.74/0.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1523,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1524,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 0.74/0.78 tff(1525,plain,
% 0.74/0.78 (~m_main_v_state2(s13, c_t2)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1524, 77, 1453])).
% 0.74/0.78 tff(1526,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1527,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1528,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 0.74/0.78 tff(1529,plain,
% 0.74/0.78 (~node1(s13)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1528, 195, 1525])).
% 0.74/0.78 tff(1530,plain,
% 0.74/0.78 (succ(s13, s14) <=> succ(s13, s14)),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1531,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 0.74/0.78 tff(1532,plain,
% 0.74/0.78 (succ(s13, s14)),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 0.74/0.78 tff(1533,plain,
% 0.74/0.78 (((~![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))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1534,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1535,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 0.74/0.78 tff(1536,plain,
% 0.74/0.78 (trans(s13, s14)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1535, 1532, 32])).
% 0.74/0.78 tff(1537,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1538,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1539,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 0.74/0.78 tff(1540,plain,
% 0.74/0.78 (node7(s13, s14)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1539, 206, 1536])).
% 0.74/0.78 tff(1541,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1542,plain,
% 0.74/0.78 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1)) <=> ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1543,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))))),
% 0.74/0.78 inference(monotonicity,[status(thm)],[1542])).
% 0.74/0.78 tff(1544,plain,
% 0.74/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 0.74/0.78 inference(transitivity,[status(thm)],[1543, 1541])).
% 0.74/0.78 tff(1545,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1546,plain,
% 0.74/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 0.74/0.78 tff(1547,plain,
% 0.74/0.78 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1546, 892, 1540])).
% 0.74/0.78 tff(1548,plain,
% 0.74/0.78 (m_main_v_state1(s14, c_c1)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1547, 1529, 1453, 1521, 1514, 1461])).
% 0.74/0.78 tff(1549,plain,
% 0.74/0.78 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1550,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1551,plain,
% 0.74/0.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1))),
% 0.74/0.78 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 0.74/0.78 tff(1552,plain,
% 0.74/0.78 (~m_main_v_state1(s14, c_t1)),
% 0.74/0.78 inference(unit_resolution,[status(thm)],[1551, 539, 1548])).
% 0.74/0.78 tff(1553,plain,
% 0.74/0.78 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 0.74/0.78 inference(rewrite,[status(thm)],[])).
% 0.74/0.78 tff(1554,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 0.74/0.78 inference(quant_inst,[status(thm)],[])).
% 0.74/0.78 tff(1555,plain,
% 0.74/0.78 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 0.74/0.79 tff(1556,plain,
% 0.74/0.79 (~node5(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1555, 550, 1552])).
% 0.74/0.79 tff(1557,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1558,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1559,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 0.74/0.79 tff(1560,plain,
% 0.74/0.79 (node14(s13, s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1559, 46, 1536])).
% 0.74/0.79 tff(1561,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1562,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1563,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 0.74/0.79 tff(1564,plain,
% 0.74/0.79 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1563, 922, 1560])).
% 0.74/0.79 tff(1565,plain,
% 0.74/0.79 (m_main_v_state2(s14, c_t2)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1564, 1521, 1453])).
% 0.74/0.79 tff(1566,plain,
% 0.74/0.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1567,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1568,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 0.74/0.79 tff(1569,plain,
% 0.74/0.79 (~m_main_v_state2(s14, c_n2)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1568, 77, 1565])).
% 0.74/0.79 tff(1570,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1571,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1572,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 0.74/0.79 tff(1573,plain,
% 0.74/0.79 (~node4(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1572, 388, 1569])).
% 0.74/0.79 tff(1574,plain,
% 0.74/0.79 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1575,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1576,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 0.74/0.79 tff(1577,plain,
% 0.74/0.79 (~m_main_v_state2(s14, c_c2)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1576, 260, 1565])).
% 0.74/0.79 tff(1578,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1579,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1580,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 0.74/0.79 tff(1581,plain,
% 0.74/0.79 (~node3(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1580, 399, 1577])).
% 0.74/0.79 tff(1582,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1583,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1584,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 0.74/0.79 tff(1585,plain,
% 0.74/0.79 (~node2(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1584, 410, 1569])).
% 0.74/0.79 tff(1586,plain,
% 0.74/0.79 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1587,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1588,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 0.74/0.79 tff(1589,plain,
% 0.74/0.79 (~m_main_v_state1(s14, c_n1)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1588, 454, 1548])).
% 0.74/0.79 tff(1590,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1591,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1592,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 0.74/0.79 tff(1593,plain,
% 0.74/0.79 (~node1(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1592, 421, 1589])).
% 0.74/0.79 tff(1594,plain,
% 0.74/0.79 (succ(s14, s15) <=> succ(s14, s15)),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1595,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 0.74/0.79 tff(1596,plain,
% 0.74/0.79 (succ(s14, s15)),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 0.74/0.79 tff(1597,plain,
% 0.74/0.79 (((~![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))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1598,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1599,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 0.74/0.79 tff(1600,plain,
% 0.74/0.79 (trans(s14, s15)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1599, 1596, 32])).
% 0.74/0.79 tff(1601,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1602,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1603,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 0.74/0.79 tff(1604,plain,
% 0.74/0.79 (node7(s14, s15)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1603, 206, 1600])).
% 0.74/0.79 tff(1605,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1606,plain,
% 0.74/0.79 (((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1)) <=> (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1607,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))))),
% 0.74/0.79 inference(monotonicity,[status(thm)],[1606])).
% 0.74/0.79 tff(1608,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 0.74/0.79 inference(transitivity,[status(thm)],[1607, 1605])).
% 0.74/0.79 tff(1609,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1610,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 0.74/0.79 tff(1611,plain,
% 0.74/0.79 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1610, 584, 1604])).
% 0.74/0.79 tff(1612,plain,
% 0.74/0.79 (m_main_v_state1(s15, c_n1)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1611, 1593, 1548, 1585, 1581, 1573, 1556])).
% 0.74/0.79 tff(1613,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1614,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1615,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 0.74/0.79 tff(1616,plain,
% 0.74/0.79 (~node15(s13)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1615, 103, 1525])).
% 0.74/0.79 tff(1617,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1618,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1619,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 0.74/0.79 tff(1620,plain,
% 0.74/0.79 (node18(s13, s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1619, 125, 1536])).
% 0.74/0.79 tff(1621,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1622,plain,
% 0.74/0.79 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1)) <=> (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1623,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)))),
% 0.74/0.79 inference(monotonicity,[status(thm)],[1622])).
% 0.74/0.79 tff(1624,plain,
% 0.74/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 0.74/0.79 inference(transitivity,[status(thm)],[1623, 1621])).
% 0.74/0.79 tff(1625,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1626,plain,
% 0.74/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 0.74/0.79 tff(1627,plain,
% 0.74/0.79 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1626, 992, 1620])).
% 0.74/0.79 tff(1628,plain,
% 0.74/0.79 (m_main_v_turn(s14, c_1)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1627, 1616, 1453, 1521])).
% 0.74/0.79 tff(1629,plain,
% 0.74/0.79 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1630,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1631,plain,
% 0.74/0.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 0.74/0.79 tff(1632,plain,
% 0.74/0.79 (~m_main_v_turn(s14, c_2)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1631, 156, 1628])).
% 0.74/0.79 tff(1633,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1634,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1635,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 0.74/0.79 tff(1636,plain,
% 0.74/0.79 (~node12(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1635, 184, 1632])).
% 0.74/0.79 tff(1637,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1638,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1639,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 0.74/0.79 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 0.74/0.79 tff(1640,plain,
% 0.74/0.79 (~node8(s14)),
% 0.74/0.79 inference(unit_resolution,[status(thm)],[1639, 271, 1569])).
% 0.74/0.79 tff(1641,plain,
% 0.74/0.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 0.74/0.79 inference(rewrite,[status(thm)],[])).
% 0.74/0.79 tff(1642,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 0.74/0.79 inference(quant_inst,[status(thm)],[])).
% 0.74/0.79 tff(1643,plain,
% 0.74/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 0.74/0.80 tff(1644,plain,
% 0.74/0.80 (~node9(s14)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1643, 88, 1569])).
% 0.74/0.80 tff(1645,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1646,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1647,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 0.74/0.80 tff(1648,plain,
% 0.74/0.80 (~node10(s14)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1647, 249, 1569])).
% 0.74/0.80 tff(1649,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1650,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1651,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 0.74/0.80 tff(1652,plain,
% 0.74/0.80 (~node11(s14)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1651, 238, 1589])).
% 0.74/0.80 tff(1653,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1654,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1655,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 0.74/0.80 tff(1656,plain,
% 0.74/0.80 (node14(s14, s15)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1655, 46, 1600])).
% 0.74/0.80 tff(1657,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1658,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1659,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 0.74/0.80 tff(1660,plain,
% 0.74/0.80 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1659, 296, 1656])).
% 0.74/0.80 tff(1661,plain,
% 0.74/0.80 (node13(s14, s15)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1660, 1652, 1577, 1648, 1644, 1640, 1636])).
% 0.74/0.80 tff(1662,plain,
% 0.74/0.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1663,plain,
% 0.74/0.80 (((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2)) <=> ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1664,plain,
% 0.74/0.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))))),
% 0.74/0.80 inference(monotonicity,[status(thm)],[1663])).
% 0.74/0.80 tff(1665,plain,
% 0.74/0.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 0.74/0.80 inference(transitivity,[status(thm)],[1664, 1662])).
% 0.74/0.80 tff(1666,plain,
% 0.74/0.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1667,plain,
% 0.74/0.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 0.74/0.80 tff(1668,plain,
% 0.74/0.80 (m_main_v_state2(s15, c_t2)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1667, 518, 1565, 1661])).
% 0.74/0.80 tff(1669,plain,
% 0.74/0.80 (succ(s15, s16) <=> succ(s15, s16)),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1670,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 0.74/0.80 tff(1671,plain,
% 0.74/0.80 (succ(s15, s16)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 0.74/0.80 tff(1672,plain,
% 0.74/0.80 (((~![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))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1673,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1674,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 0.74/0.80 tff(1675,plain,
% 0.74/0.80 (trans(s15, s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1674, 1671, 32])).
% 0.74/0.80 tff(1676,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1677,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1678,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 0.74/0.80 tff(1679,plain,
% 0.74/0.80 (node7(s15, s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1678, 206, 1675])).
% 0.74/0.80 tff(1680,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1681,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1682,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 0.74/0.80 tff(1683,plain,
% 0.74/0.80 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1682, 651, 1679])).
% 0.74/0.80 tff(1684,plain,
% 0.74/0.80 (m_main_v_state1(s16, c_t1)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1683, 1668, 1612])).
% 0.74/0.80 tff(1685,plain,
% 0.74/0.80 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1686,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1687,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 0.74/0.80 tff(1688,plain,
% 0.74/0.80 (~m_main_v_state1(s16, c_n1)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1687, 10, 1684])).
% 0.74/0.80 tff(1689,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1690,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1691,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 0.74/0.80 tff(1692,plain,
% 0.74/0.80 (~node1(s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1691, 421, 1688])).
% 0.74/0.80 tff(1693,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1694,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1695,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 0.74/0.80 tff(1696,plain,
% 0.74/0.80 (node18(s15, s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1695, 125, 1675])).
% 0.74/0.80 tff(1697,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1698,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1699,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1698, 1697])).
% 0.74/0.80 tff(1700,plain,
% 0.74/0.80 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1699, 760, 1696])).
% 0.74/0.80 tff(1701,plain,
% 0.74/0.80 (m_main_v_turn(s16, c_2)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1700, 1668, 1612])).
% 0.74/0.80 tff(1702,plain,
% 0.74/0.80 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1703,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1704,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 0.74/0.80 tff(1705,plain,
% 0.74/0.80 (~m_main_v_turn(s16, c_1)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1704, 156, 1701])).
% 0.74/0.80 tff(1706,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1707,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1708,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 0.74/0.80 tff(1709,plain,
% 0.74/0.80 (~node5(s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1708, 776, 1705])).
% 0.74/0.80 tff(1710,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1711,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1712,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 0.74/0.80 tff(1713,plain,
% 0.74/0.80 (~node2(s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1712, 787, 1688])).
% 0.74/0.80 tff(1714,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1715,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1716,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 0.74/0.80 tff(1717,plain,
% 0.74/0.80 (~node3(s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1716, 798, 1688])).
% 0.74/0.80 tff(1718,plain,
% 0.74/0.80 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1719,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1720,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 0.74/0.80 tff(1721,plain,
% 0.74/0.80 (~m_main_v_state1(s16, c_c1)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1720, 539, 1684])).
% 0.74/0.80 tff(1722,plain,
% 0.74/0.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1723,plain,
% 0.74/0.80 (((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2))) <=> (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1724,plain,
% 0.74/0.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))))),
% 0.74/0.80 inference(monotonicity,[status(thm)],[1723])).
% 0.74/0.80 tff(1725,plain,
% 0.74/0.80 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 0.74/0.80 inference(transitivity,[status(thm)],[1724, 1722])).
% 0.74/0.80 tff(1726,plain,
% 0.74/0.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1727,plain,
% 0.74/0.80 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 0.74/0.80 tff(1728,plain,
% 0.74/0.80 (~m_main_v_state2(s15, c_n2)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1727, 311, 1569, 1661])).
% 0.74/0.80 tff(1729,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1730,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1731,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 0.74/0.80 tff(1732,plain,
% 0.74/0.80 (~node9(s15)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1731, 88, 1728])).
% 0.74/0.80 tff(1733,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1734,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1735,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 0.74/0.80 tff(1736,plain,
% 0.74/0.80 (~node10(s15)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1735, 249, 1728])).
% 0.74/0.80 tff(1737,plain,
% 0.74/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1738,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1739,plain,
% 0.74/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 0.74/0.80 tff(1740,plain,
% 0.74/0.80 (~node8(s15)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1739, 271, 1728])).
% 0.74/0.80 tff(1741,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1742,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1743,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 0.74/0.80 tff(1744,plain,
% 0.74/0.80 (node14(s15, s16)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1743, 46, 1675])).
% 0.74/0.80 tff(1745,plain,
% 0.74/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1746,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1747,plain,
% 0.74/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2)),
% 0.74/0.80 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 0.74/0.80 tff(1748,plain,
% 0.74/0.80 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | m_main_v_state2(s16, c_c2)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1747, 617, 1744])).
% 0.74/0.80 tff(1749,plain,
% 0.74/0.80 (m_main_v_state2(s16, c_c2)),
% 0.74/0.80 inference(unit_resolution,[status(thm)],[1748, 1740, 1612, 1668, 1736, 1732])).
% 0.74/0.80 tff(1750,plain,
% 0.74/0.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.74/0.80 inference(rewrite,[status(thm)],[])).
% 0.74/0.80 tff(1751,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.74/0.80 inference(quant_inst,[status(thm)],[])).
% 0.74/0.80 tff(1752,plain,
% 0.74/0.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 0.74/0.81 tff(1753,plain,
% 0.74/0.81 (~m_main_v_state2(s16, c_n2)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1752, 697, 1749])).
% 0.74/0.81 tff(1754,plain,
% 0.74/0.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1755,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1756,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 0.74/0.81 tff(1757,plain,
% 0.74/0.81 (~node4(s16)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1756, 388, 1753])).
% 0.74/0.81 tff(1758,plain,
% 0.74/0.81 (succ(s16, s17) <=> succ(s16, s17)),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1759,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 0.74/0.81 tff(1760,plain,
% 0.74/0.81 (succ(s16, s17)),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 0.74/0.81 tff(1761,plain,
% 0.74/0.81 (((~![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))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1762,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1763,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 0.74/0.81 tff(1764,plain,
% 0.74/0.81 (trans(s16, s17)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1763, 1760, 32])).
% 0.74/0.81 tff(1765,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1766,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1767,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 0.74/0.81 tff(1768,plain,
% 0.74/0.81 (node7(s16, s17)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1767, 206, 1764])).
% 0.74/0.81 tff(1769,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1770,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1771,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 0.74/0.81 tff(1772,plain,
% 0.74/0.81 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1771, 820, 1768])).
% 0.74/0.81 tff(1773,plain,
% 0.74/0.81 (node6(s16, s17)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1772, 1757, 1721, 1717, 1713, 1709, 1692])).
% 0.74/0.81 tff(1774,plain,
% 0.74/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1775,plain,
% 0.74/0.81 (((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1)) <=> ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1776,plain,
% 0.74/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))))),
% 0.74/0.81 inference(monotonicity,[status(thm)],[1775])).
% 0.74/0.81 tff(1777,plain,
% 0.74/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 0.74/0.81 inference(transitivity,[status(thm)],[1776, 1774])).
% 0.74/0.81 tff(1778,plain,
% 0.74/0.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1779,plain,
% 0.74/0.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 0.74/0.81 tff(1780,plain,
% 0.74/0.81 (m_main_v_state1(s17, c_t1)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1779, 856, 1684, 1773])).
% 0.74/0.81 tff(1781,plain,
% 0.74/0.81 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1782,plain,
% 0.74/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1783,plain,
% 0.74/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 0.74/0.81 tff(1784,plain,
% 0.74/0.81 (~m_main_v_state2(s16, c_t2)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1783, 260, 1749])).
% 0.74/0.81 tff(1785,plain,
% 0.74/0.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1786,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1787,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1786, 1785])).
% 0.74/0.81 tff(1788,plain,
% 0.74/0.81 (~node12(s16)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1787, 633, 1784])).
% 0.74/0.81 tff(1789,plain,
% 0.74/0.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1790,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1791,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 0.74/0.81 tff(1792,plain,
% 0.74/0.81 (~node11(s16)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1791, 238, 1688])).
% 0.74/0.81 tff(1793,plain,
% 0.74/0.81 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1794,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1795,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 0.74/0.81 tff(1796,plain,
% 0.74/0.81 (~node10(s16)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1795, 675, 1721])).
% 0.74/0.81 tff(1797,plain,
% 0.74/0.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1798,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1799,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 0.74/0.81 tff(1800,plain,
% 0.74/0.81 (~node9(s16)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1799, 686, 1688])).
% 0.74/0.81 tff(1801,plain,
% 0.74/0.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1802,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1803,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 0.74/0.81 tff(1804,plain,
% 0.74/0.81 (~node8(s16)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1803, 271, 1753])).
% 0.74/0.81 tff(1805,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1806,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1807,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 0.74/0.81 tff(1808,plain,
% 0.74/0.81 (node14(s16, s17)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1807, 46, 1764])).
% 0.74/0.81 tff(1809,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1810,plain,
% 0.74/0.81 (((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2)) <=> (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1811,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))))),
% 0.74/0.81 inference(monotonicity,[status(thm)],[1810])).
% 0.74/0.81 tff(1812,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 0.74/0.81 inference(transitivity,[status(thm)],[1811, 1809])).
% 0.74/0.81 tff(1813,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1814,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 0.74/0.81 tff(1815,plain,
% 0.74/0.81 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1814, 726, 1808])).
% 0.74/0.81 tff(1816,plain,
% 0.74/0.81 (m_main_v_state2(s17, c_n2)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1815, 1804, 1749, 1800, 1796, 1792, 1788])).
% 0.74/0.81 tff(1817,plain,
% 0.74/0.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1818,plain,
% 0.74/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1819,plain,
% 0.74/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 0.74/0.81 tff(1820,plain,
% 0.74/0.81 (~m_main_v_state2(s17, c_t2)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1819, 77, 1816])).
% 0.74/0.81 tff(1821,plain,
% 0.74/0.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1822,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1823,plain,
% 0.74/0.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 0.74/0.81 tff(1824,plain,
% 0.74/0.81 (~node15(s17)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1823, 103, 1820])).
% 0.74/0.81 tff(1825,plain,
% 0.74/0.81 (succ(s17, s18) <=> succ(s17, s18)),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1826,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 0.74/0.81 tff(1827,plain,
% 0.74/0.81 (succ(s17, s18)),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 0.74/0.81 tff(1828,plain,
% 0.74/0.81 (((~![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))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1829,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1830,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 0.74/0.81 tff(1831,plain,
% 0.74/0.81 (trans(s17, s18)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1830, 1827, 32])).
% 0.74/0.81 tff(1832,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1833,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 0.74/0.81 inference(quant_inst,[status(thm)],[])).
% 0.74/0.81 tff(1834,plain,
% 0.74/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 0.74/0.81 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 0.74/0.81 tff(1835,plain,
% 0.74/0.81 (node18(s17, s18)),
% 0.74/0.81 inference(unit_resolution,[status(thm)],[1834, 125, 1831])).
% 0.74/0.81 tff(1836,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1837,plain,
% 0.74/0.81 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1)) <=> (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 0.74/0.81 inference(rewrite,[status(thm)],[])).
% 0.74/0.81 tff(1838,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)))),
% 0.74/0.81 inference(monotonicity,[status(thm)],[1837])).
% 0.74/0.81 tff(1839,plain,
% 0.74/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 0.74/0.82 inference(transitivity,[status(thm)],[1838, 1836])).
% 0.74/0.82 tff(1840,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1841,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 0.74/0.82 tff(1842,plain,
% 0.74/0.82 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1841, 992, 1835])).
% 0.74/0.82 tff(1843,plain,
% 0.74/0.82 (m_main_v_turn(s18, c_1)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1842, 1824, 1816, 1780])).
% 0.74/0.82 tff(1844,plain,
% 0.74/0.82 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1845,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1846,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 0.74/0.82 tff(1847,plain,
% 0.74/0.82 (~m_main_v_turn(s18, c_2)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1846, 156, 1843])).
% 0.74/0.82 tff(1848,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1849,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1850,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1849, 1848])).
% 0.74/0.82 tff(1851,plain,
% 0.74/0.82 (~node12(s18)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1850, 184, 1847])).
% 0.74/0.82 tff(1852,plain,
% 0.74/0.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1853,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1854,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 0.74/0.82 tff(1855,plain,
% 0.74/0.82 (node14(s17, s18)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1854, 46, 1831])).
% 0.74/0.82 tff(1856,plain,
% 0.74/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1857,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1858,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2)),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 0.74/0.82 tff(1859,plain,
% 0.74/0.82 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1858, 922, 1855])).
% 0.74/0.82 tff(1860,plain,
% 0.74/0.82 (m_main_v_state2(s18, c_t2)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1859, 1780, 1816])).
% 0.74/0.82 tff(1861,plain,
% 0.74/0.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1862,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1863,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 0.74/0.82 tff(1864,plain,
% 0.74/0.82 (~m_main_v_state2(s18, c_n2)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1863, 77, 1860])).
% 0.74/0.82 tff(1865,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1866,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1867,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 0.74/0.82 tff(1868,plain,
% 0.74/0.82 (~node8(s18)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1867, 271, 1864])).
% 0.74/0.82 tff(1869,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1870,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1871,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 0.74/0.82 tff(1872,plain,
% 0.74/0.82 (~node9(s18)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1871, 88, 1864])).
% 0.74/0.82 tff(1873,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1874,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1875,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 0.74/0.82 tff(1876,plain,
% 0.74/0.82 (~node10(s18)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1875, 249, 1864])).
% 0.74/0.82 tff(1877,plain,
% 0.74/0.82 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1878,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1879,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 0.74/0.82 tff(1880,plain,
% 0.74/0.82 (~m_main_v_state2(s18, c_c2)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1879, 260, 1860])).
% 0.74/0.82 tff(1881,plain,
% 0.74/0.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1882,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1883,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 0.74/0.82 tff(1884,plain,
% 0.74/0.82 (~m_main_v_state2(s17, c_c2)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1883, 697, 1816])).
% 0.74/0.82 tff(1885,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1886,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1887,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1886, 1885])).
% 0.74/0.82 tff(1888,plain,
% 0.74/0.82 (~node3(s17)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1887, 399, 1884])).
% 0.74/0.82 tff(1889,plain,
% 0.74/0.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1890,plain,
% 0.74/0.82 (((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1))) <=> (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1891,plain,
% 0.74/0.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))))),
% 0.74/0.82 inference(monotonicity,[status(thm)],[1890])).
% 0.74/0.82 tff(1892,plain,
% 0.74/0.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 0.74/0.82 inference(transitivity,[status(thm)],[1891, 1889])).
% 0.74/0.82 tff(1893,plain,
% 0.74/0.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1894,plain,
% 0.74/0.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 0.74/0.82 tff(1895,plain,
% 0.74/0.82 (~m_main_v_state1(s17, c_n1)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1894, 835, 1688, 1773])).
% 0.74/0.82 tff(1896,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1897,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1898,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 0.74/0.82 tff(1899,plain,
% 0.74/0.82 (~node2(s17)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1898, 787, 1895])).
% 0.74/0.82 tff(1900,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1901,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1902,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 0.74/0.82 tff(1903,plain,
% 0.74/0.82 (~node1(s17)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1902, 195, 1820])).
% 0.74/0.82 tff(1904,plain,
% 0.74/0.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1905,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1906,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 0.74/0.82 tff(1907,plain,
% 0.74/0.82 (node7(s17, s18)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1906, 206, 1831])).
% 0.74/0.82 tff(1908,plain,
% 0.74/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1909,plain,
% 0.74/0.82 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1)) <=> ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1910,plain,
% 0.74/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))))),
% 0.74/0.82 inference(monotonicity,[status(thm)],[1909])).
% 0.74/0.82 tff(1911,plain,
% 0.74/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 0.74/0.82 inference(transitivity,[status(thm)],[1910, 1908])).
% 0.74/0.82 tff(1912,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1913,plain,
% 0.74/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 0.74/0.82 tff(1914,plain,
% 0.74/0.82 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1913, 892, 1907])).
% 0.74/0.82 tff(1915,plain,
% 0.74/0.82 (m_main_v_state1(s18, c_c1)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1914, 1903, 1816, 1780, 1899, 1888])).
% 0.74/0.82 tff(1916,plain,
% 0.74/0.82 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1917,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1918,plain,
% 0.74/0.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 0.74/0.82 tff(1919,plain,
% 0.74/0.82 (~m_main_v_state1(s18, c_n1)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1918, 454, 1915])).
% 0.74/0.82 tff(1920,plain,
% 0.74/0.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1921,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 0.74/0.82 inference(quant_inst,[status(thm)],[])).
% 0.74/0.82 tff(1922,plain,
% 0.74/0.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 0.74/0.82 tff(1923,plain,
% 0.74/0.82 (~node11(s18)),
% 0.74/0.82 inference(unit_resolution,[status(thm)],[1922, 238, 1919])).
% 0.74/0.82 tff(1924,plain,
% 0.74/0.82 (succ(s18, s19) <=> succ(s18, s19)),
% 0.74/0.82 inference(rewrite,[status(thm)],[])).
% 0.74/0.82 tff(1925,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 0.74/0.82 tff(1926,plain,
% 0.74/0.82 (succ(s18, s19)),
% 0.74/0.82 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 0.74/0.82 tff(1927,plain,
% 0.74/0.82 (((~![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))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1928,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1929,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 0.74/0.83 tff(1930,plain,
% 0.74/0.83 (trans(s18, s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1929, 1926, 32])).
% 0.74/0.83 tff(1931,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1932,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1933,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 0.74/0.83 tff(1934,plain,
% 0.74/0.83 (node14(s18, s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1933, 46, 1930])).
% 0.74/0.83 tff(1935,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1936,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1937,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 0.74/0.83 tff(1938,plain,
% 0.74/0.83 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1937, 296, 1934])).
% 0.74/0.83 tff(1939,plain,
% 0.74/0.83 (node13(s18, s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1938, 1923, 1880, 1876, 1872, 1868, 1851])).
% 0.74/0.83 tff(1940,plain,
% 0.74/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1941,plain,
% 0.74/0.83 (((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2))) <=> (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1942,plain,
% 0.74/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))))),
% 0.74/0.83 inference(monotonicity,[status(thm)],[1941])).
% 0.74/0.83 tff(1943,plain,
% 0.74/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 0.74/0.83 inference(transitivity,[status(thm)],[1942, 1940])).
% 0.74/0.83 tff(1944,plain,
% 0.74/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1945,plain,
% 0.74/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 0.74/0.83 tff(1946,plain,
% 0.74/0.83 (~m_main_v_state2(s19, c_n2)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1945, 311, 1864, 1939])).
% 0.74/0.83 tff(1947,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1948,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1949,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 0.74/0.83 tff(1950,plain,
% 0.74/0.83 (~node9(s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1949, 88, 1946])).
% 0.74/0.83 tff(1951,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1952,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1953,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 0.74/0.83 tff(1954,plain,
% 0.74/0.83 (~node10(s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1953, 249, 1946])).
% 0.74/0.83 tff(1955,plain,
% 0.74/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1956,plain,
% 0.74/0.83 (((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2)) <=> ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1957,plain,
% 0.74/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))))),
% 0.74/0.83 inference(monotonicity,[status(thm)],[1956])).
% 0.74/0.83 tff(1958,plain,
% 0.74/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 0.74/0.83 inference(transitivity,[status(thm)],[1957, 1955])).
% 0.74/0.83 tff(1959,plain,
% 0.74/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1960,plain,
% 0.74/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 0.74/0.83 tff(1961,plain,
% 0.74/0.83 (m_main_v_state2(s19, c_t2)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1960, 518, 1860, 1939])).
% 0.74/0.83 tff(1962,plain,
% 0.74/0.83 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1963,plain,
% 0.74/0.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1964,plain,
% 0.74/0.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 0.74/0.83 tff(1965,plain,
% 0.74/0.83 (~m_main_v_state1(s18, c_t1)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1964, 539, 1915])).
% 0.74/0.83 tff(1966,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1967,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1968,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 0.74/0.83 tff(1969,plain,
% 0.74/0.83 (~node5(s18)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1968, 550, 1965])).
% 0.74/0.83 tff(1970,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1971,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1972,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 0.74/0.83 tff(1973,plain,
% 0.74/0.83 (~node4(s18)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1972, 388, 1864])).
% 0.74/0.83 tff(1974,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1975,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1976,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 0.74/0.83 tff(1977,plain,
% 0.74/0.83 (~node3(s18)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1976, 399, 1880])).
% 0.74/0.83 tff(1978,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1979,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1980,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 0.74/0.83 tff(1981,plain,
% 0.74/0.83 (~node2(s18)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1980, 410, 1864])).
% 0.74/0.83 tff(1982,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1983,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1984,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 0.74/0.83 tff(1985,plain,
% 0.74/0.83 (~node1(s18)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1984, 421, 1919])).
% 0.74/0.83 tff(1986,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1987,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1988,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 0.74/0.83 tff(1989,plain,
% 0.74/0.83 (node7(s18, s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1988, 206, 1930])).
% 0.74/0.83 tff(1990,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1991,plain,
% 0.74/0.83 (((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1)) <=> (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1992,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))))),
% 0.74/0.83 inference(monotonicity,[status(thm)],[1991])).
% 0.74/0.83 tff(1993,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 0.74/0.83 inference(transitivity,[status(thm)],[1992, 1990])).
% 0.74/0.83 tff(1994,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(1995,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 0.74/0.83 tff(1996,plain,
% 0.74/0.83 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1995, 584, 1989])).
% 0.74/0.83 tff(1997,plain,
% 0.74/0.83 (m_main_v_state1(s19, c_n1)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[1996, 1985, 1915, 1981, 1977, 1973, 1969])).
% 0.74/0.83 tff(1998,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(1999,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(2000,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 0.74/0.83 tff(2001,plain,
% 0.74/0.83 (~node8(s19)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2000, 271, 1946])).
% 0.74/0.83 tff(2002,plain,
% 0.74/0.83 (succ(s19, s20) <=> succ(s19, s20)),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(2003,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 0.74/0.83 tff(2004,plain,
% 0.74/0.83 (succ(s19, s20)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 0.74/0.83 tff(2005,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(2006,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(2007,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 0.74/0.83 tff(2008,plain,
% 0.74/0.83 (trans(s19, s20)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2007, 2004, 32])).
% 0.74/0.83 tff(2009,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(2010,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(2011,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 0.74/0.83 tff(2012,plain,
% 0.74/0.83 (node14(s19, s20)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2011, 46, 2008])).
% 0.74/0.83 tff(2013,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(2014,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(2015,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 0.74/0.83 tff(2016,plain,
% 0.74/0.83 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | m_main_v_state2(s20, c_c2)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2015, 617, 2012])).
% 0.74/0.83 tff(2017,plain,
% 0.74/0.83 (m_main_v_state2(s20, c_c2)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2016, 2001, 1997, 1961, 1954, 1950])).
% 0.74/0.83 tff(2018,plain,
% 0.74/0.83 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(2019,plain,
% 0.74/0.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(2020,plain,
% 0.74/0.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 0.74/0.83 tff(2021,plain,
% 0.74/0.83 (~m_main_v_state2(s20, c_t2)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2020, 260, 2017])).
% 0.74/0.83 tff(2022,plain,
% 0.74/0.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(2023,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(2024,plain,
% 0.74/0.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 0.74/0.83 tff(2025,plain,
% 0.74/0.83 (~node12(s20)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2024, 633, 2021])).
% 0.74/0.83 tff(2026,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20))),
% 0.74/0.83 inference(rewrite,[status(thm)],[])).
% 0.74/0.83 tff(2027,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 0.74/0.83 inference(quant_inst,[status(thm)],[])).
% 0.74/0.83 tff(2028,plain,
% 0.74/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 0.74/0.83 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 0.74/0.83 tff(2029,plain,
% 0.74/0.83 (node7(s19, s20)),
% 0.74/0.83 inference(unit_resolution,[status(thm)],[2028, 206, 2008])).
% 0.74/0.83 tff(2030,plain,
% 0.74/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2031,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2032,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1)),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 0.74/0.84 tff(2033,plain,
% 0.74/0.84 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2032, 651, 2029])).
% 0.74/0.84 tff(2034,plain,
% 0.74/0.84 (m_main_v_state1(s20, c_t1)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2033, 1961, 1997])).
% 0.74/0.84 tff(2035,plain,
% 0.74/0.84 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2036,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2037,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 0.74/0.84 tff(2038,plain,
% 0.74/0.84 (~m_main_v_state1(s20, c_n1)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2037, 10, 2034])).
% 0.74/0.84 tff(2039,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2040,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2041,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 0.74/0.84 tff(2042,plain,
% 0.74/0.84 (~node11(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2041, 238, 2038])).
% 0.74/0.84 tff(2043,plain,
% 0.74/0.84 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2044,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2045,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 0.74/0.84 tff(2046,plain,
% 0.74/0.84 (~m_main_v_state1(s20, c_c1)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2045, 539, 2034])).
% 0.74/0.84 tff(2047,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2048,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2049,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 0.74/0.84 tff(2050,plain,
% 0.74/0.84 (~node10(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2049, 675, 2046])).
% 0.74/0.84 tff(2051,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2052,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2053,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 0.74/0.84 tff(2054,plain,
% 0.74/0.84 (~node9(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2053, 686, 2038])).
% 0.74/0.84 tff(2055,plain,
% 0.74/0.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2056,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2057,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 0.74/0.84 tff(2058,plain,
% 0.74/0.84 (~m_main_v_state2(s20, c_n2)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2057, 697, 2017])).
% 0.74/0.84 tff(2059,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2060,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2061,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 0.74/0.84 tff(2062,plain,
% 0.74/0.84 (~node8(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2061, 271, 2058])).
% 0.74/0.84 tff(2063,plain,
% 0.74/0.84 (succ(s20, s21) <=> succ(s20, s21)),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2064,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 0.74/0.84 tff(2065,plain,
% 0.74/0.84 (succ(s20, s21)),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 0.74/0.84 tff(2066,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2067,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2068,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 0.74/0.84 tff(2069,plain,
% 0.74/0.84 (trans(s20, s21)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2068, 2065, 32])).
% 0.74/0.84 tff(2070,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2071,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2072,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 0.74/0.84 tff(2073,plain,
% 0.74/0.84 (node14(s20, s21)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2072, 46, 2069])).
% 0.74/0.84 tff(2074,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2075,plain,
% 0.74/0.84 (((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2)) <=> (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2076,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))))),
% 0.74/0.84 inference(monotonicity,[status(thm)],[2075])).
% 0.74/0.84 tff(2077,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 0.74/0.84 inference(transitivity,[status(thm)],[2076, 2074])).
% 0.74/0.84 tff(2078,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2079,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 0.74/0.84 tff(2080,plain,
% 0.74/0.84 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2079, 726, 2073])).
% 0.74/0.84 tff(2081,plain,
% 0.74/0.84 (m_main_v_state2(s21, c_n2)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2080, 2062, 2017, 2054, 2050, 2042, 2025])).
% 0.74/0.84 tff(2082,plain,
% 0.74/0.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2083,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2084,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 0.74/0.84 tff(2085,plain,
% 0.74/0.84 (~m_main_v_state2(s21, c_c2)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2084, 697, 2081])).
% 0.74/0.84 tff(2086,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2087,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2088,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 0.74/0.84 tff(2089,plain,
% 0.74/0.84 (~node3(s21)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2088, 399, 2085])).
% 0.74/0.84 tff(2090,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2091,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2092,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 0.74/0.84 tff(2093,plain,
% 0.74/0.84 (~node1(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2092, 421, 2038])).
% 0.74/0.84 tff(2094,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2095,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2096,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 0.74/0.84 tff(2097,plain,
% 0.74/0.84 (node18(s19, s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2096, 125, 2008])).
% 0.74/0.84 tff(2098,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2099,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2100,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2)),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 0.74/0.84 tff(2101,plain,
% 0.74/0.84 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2100, 760, 2097])).
% 0.74/0.84 tff(2102,plain,
% 0.74/0.84 (m_main_v_turn(s20, c_2)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2101, 1961, 1997])).
% 0.74/0.84 tff(2103,plain,
% 0.74/0.84 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2104,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2105,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 0.74/0.84 tff(2106,plain,
% 0.74/0.84 (~m_main_v_turn(s20, c_1)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2105, 156, 2102])).
% 0.74/0.84 tff(2107,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2108,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2109,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 0.74/0.84 tff(2110,plain,
% 0.74/0.84 (~node5(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2109, 776, 2106])).
% 0.74/0.84 tff(2111,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2112,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2113,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 0.74/0.84 tff(2114,plain,
% 0.74/0.84 (~node2(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2113, 787, 2038])).
% 0.74/0.84 tff(2115,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2116,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2117,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 0.74/0.84 tff(2118,plain,
% 0.74/0.84 (~node3(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2117, 798, 2038])).
% 0.74/0.84 tff(2119,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2120,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2121,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 0.74/0.84 tff(2122,plain,
% 0.74/0.84 (~node4(s20)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2121, 388, 2058])).
% 0.74/0.84 tff(2123,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2124,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2125,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 0.74/0.84 tff(2126,plain,
% 0.74/0.84 (node7(s20, s21)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2125, 206, 2069])).
% 0.74/0.84 tff(2127,plain,
% 0.74/0.84 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2128,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2129,plain,
% 0.74/0.84 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 0.74/0.84 tff(2130,plain,
% 0.74/0.84 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2129, 820, 2126])).
% 0.74/0.84 tff(2131,plain,
% 0.74/0.84 (node6(s20, s21)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2130, 2122, 2046, 2118, 2114, 2110, 2093])).
% 0.74/0.84 tff(2132,plain,
% 0.74/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2133,plain,
% 0.74/0.84 (((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1))) <=> (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2134,plain,
% 0.74/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))))),
% 0.74/0.84 inference(monotonicity,[status(thm)],[2133])).
% 0.74/0.84 tff(2135,plain,
% 0.74/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 0.74/0.84 inference(transitivity,[status(thm)],[2134, 2132])).
% 0.74/0.84 tff(2136,plain,
% 0.74/0.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2137,plain,
% 0.74/0.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 0.74/0.84 tff(2138,plain,
% 0.74/0.84 (~m_main_v_state1(s21, c_n1)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2137, 835, 2038, 2131])).
% 0.74/0.84 tff(2139,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2140,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2141,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 0.74/0.84 tff(2142,plain,
% 0.74/0.84 (~node2(s21)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2141, 787, 2138])).
% 0.74/0.84 tff(2143,plain,
% 0.74/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2144,plain,
% 0.74/0.84 (((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1)) <=> ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2145,plain,
% 0.74/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))))),
% 0.74/0.84 inference(monotonicity,[status(thm)],[2144])).
% 0.74/0.84 tff(2146,plain,
% 0.74/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 0.74/0.84 inference(transitivity,[status(thm)],[2145, 2143])).
% 0.74/0.84 tff(2147,plain,
% 0.74/0.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2148,plain,
% 0.74/0.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 0.74/0.84 tff(2149,plain,
% 0.74/0.84 (m_main_v_state1(s21, c_t1)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2148, 856, 2034, 2131])).
% 0.74/0.84 tff(2150,plain,
% 0.74/0.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2151,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 0.74/0.84 inference(quant_inst,[status(thm)],[])).
% 0.74/0.84 tff(2152,plain,
% 0.74/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2))),
% 0.74/0.84 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 0.74/0.84 tff(2153,plain,
% 0.74/0.84 (~m_main_v_state2(s21, c_t2)),
% 0.74/0.84 inference(unit_resolution,[status(thm)],[2152, 77, 2081])).
% 0.74/0.84 tff(2154,plain,
% 0.74/0.84 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 0.74/0.84 inference(rewrite,[status(thm)],[])).
% 0.74/0.84 tff(2155,plain,
% 0.74/0.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2156,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 0.74/0.85 tff(2157,plain,
% 0.74/0.85 (~node1(s21)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2156, 195, 2153])).
% 0.74/0.85 tff(2158,plain,
% 0.74/0.85 (succ(s21, s22) <=> succ(s21, s22)),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2159,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 0.74/0.85 tff(2160,plain,
% 0.74/0.85 (succ(s21, s22)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 0.74/0.85 tff(2161,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2162,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2163,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 0.74/0.85 tff(2164,plain,
% 0.74/0.85 (trans(s21, s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2163, 2160, 32])).
% 0.74/0.85 tff(2165,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2166,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2167,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 0.74/0.85 tff(2168,plain,
% 0.74/0.85 (node7(s21, s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2167, 206, 2164])).
% 0.74/0.85 tff(2169,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2170,plain,
% 0.74/0.85 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1)) <=> ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2171,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))))),
% 0.74/0.85 inference(monotonicity,[status(thm)],[2170])).
% 0.74/0.85 tff(2172,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 0.74/0.85 inference(transitivity,[status(thm)],[2171, 2169])).
% 0.74/0.85 tff(2173,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2174,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 0.74/0.85 tff(2175,plain,
% 0.74/0.85 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2174, 892, 2168])).
% 0.74/0.85 tff(2176,plain,
% 0.74/0.85 (m_main_v_state1(s22, c_c1)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2175, 2157, 2081, 2149, 2142, 2089])).
% 0.74/0.85 tff(2177,plain,
% 0.74/0.85 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2178,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2179,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 0.74/0.85 tff(2180,plain,
% 0.74/0.85 (~m_main_v_state1(s22, c_t1)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2179, 539, 2176])).
% 0.74/0.85 tff(2181,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2182,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2183,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 0.74/0.85 tff(2184,plain,
% 0.74/0.85 (~node5(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2183, 550, 2180])).
% 0.74/0.85 tff(2185,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2186,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2187,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 0.74/0.85 tff(2188,plain,
% 0.74/0.85 (node14(s21, s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2187, 46, 2164])).
% 0.74/0.85 tff(2189,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2190,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2191,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 0.74/0.85 tff(2192,plain,
% 0.74/0.85 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2191, 922, 2188])).
% 0.74/0.85 tff(2193,plain,
% 0.74/0.85 (m_main_v_state2(s22, c_t2)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2192, 2149, 2081])).
% 0.74/0.85 tff(2194,plain,
% 0.74/0.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2195,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2196,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 0.74/0.85 tff(2197,plain,
% 0.74/0.85 (~m_main_v_state2(s22, c_n2)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2196, 77, 2193])).
% 0.74/0.85 tff(2198,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2199,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2200,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2199, 2198])).
% 0.74/0.85 tff(2201,plain,
% 0.74/0.85 (~node4(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2200, 388, 2197])).
% 0.74/0.85 tff(2202,plain,
% 0.74/0.85 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2203,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2204,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2203, 2202])).
% 0.74/0.85 tff(2205,plain,
% 0.74/0.85 (~m_main_v_state2(s22, c_c2)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2204, 260, 2193])).
% 0.74/0.85 tff(2206,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2207,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2208,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 0.74/0.85 tff(2209,plain,
% 0.74/0.85 (~node3(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2208, 399, 2205])).
% 0.74/0.85 tff(2210,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2211,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2212,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 0.74/0.85 tff(2213,plain,
% 0.74/0.85 (~node2(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2212, 410, 2197])).
% 0.74/0.85 tff(2214,plain,
% 0.74/0.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2215,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2216,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 0.74/0.85 tff(2217,plain,
% 0.74/0.85 (~m_main_v_state1(s22, c_n1)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2216, 454, 2176])).
% 0.74/0.85 tff(2218,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2219,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2220,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 0.74/0.85 tff(2221,plain,
% 0.74/0.85 (~node1(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2220, 421, 2217])).
% 0.74/0.85 tff(2222,plain,
% 0.74/0.85 (succ(s22, s23) <=> succ(s22, s23)),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2223,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 0.74/0.85 tff(2224,plain,
% 0.74/0.85 (succ(s22, s23)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 0.74/0.85 tff(2225,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2226,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2227,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 0.74/0.85 tff(2228,plain,
% 0.74/0.85 (trans(s22, s23)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2227, 2224, 32])).
% 0.74/0.85 tff(2229,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2230,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2231,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 0.74/0.85 tff(2232,plain,
% 0.74/0.85 (node7(s22, s23)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2231, 206, 2228])).
% 0.74/0.85 tff(2233,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2234,plain,
% 0.74/0.85 (((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1)) <=> (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2235,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))))),
% 0.74/0.85 inference(monotonicity,[status(thm)],[2234])).
% 0.74/0.85 tff(2236,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 0.74/0.85 inference(transitivity,[status(thm)],[2235, 2233])).
% 0.74/0.85 tff(2237,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2238,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 0.74/0.85 tff(2239,plain,
% 0.74/0.85 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2238, 584, 2232])).
% 0.74/0.85 tff(2240,plain,
% 0.74/0.85 (m_main_v_state1(s23, c_n1)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2239, 2221, 2176, 2213, 2209, 2201, 2184])).
% 0.74/0.85 tff(2241,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2242,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2243,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 0.74/0.85 tff(2244,plain,
% 0.74/0.85 (~node15(s21)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2243, 103, 2153])).
% 0.74/0.85 tff(2245,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2246,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2247,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 0.74/0.85 tff(2248,plain,
% 0.74/0.85 (node18(s21, s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2247, 125, 2164])).
% 0.74/0.85 tff(2249,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2250,plain,
% 0.74/0.85 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1)) <=> (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2251,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)))),
% 0.74/0.85 inference(monotonicity,[status(thm)],[2250])).
% 0.74/0.85 tff(2252,plain,
% 0.74/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 0.74/0.85 inference(transitivity,[status(thm)],[2251, 2249])).
% 0.74/0.85 tff(2253,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2254,plain,
% 0.74/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 0.74/0.85 tff(2255,plain,
% 0.74/0.85 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2254, 992, 2248])).
% 0.74/0.85 tff(2256,plain,
% 0.74/0.85 (m_main_v_turn(s22, c_1)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2255, 2244, 2081, 2149])).
% 0.74/0.85 tff(2257,plain,
% 0.74/0.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2258,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2259,plain,
% 0.74/0.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 0.74/0.85 tff(2260,plain,
% 0.74/0.85 (~m_main_v_turn(s22, c_2)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2259, 156, 2256])).
% 0.74/0.85 tff(2261,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2262,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2263,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 0.74/0.85 tff(2264,plain,
% 0.74/0.85 (~node12(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2263, 184, 2260])).
% 0.74/0.85 tff(2265,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2266,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2267,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 0.74/0.85 tff(2268,plain,
% 0.74/0.85 (~node8(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2267, 271, 2197])).
% 0.74/0.85 tff(2269,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2270,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2271,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2270, 2269])).
% 0.74/0.85 tff(2272,plain,
% 0.74/0.85 (~node9(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2271, 88, 2197])).
% 0.74/0.85 tff(2273,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 0.74/0.85 inference(rewrite,[status(thm)],[])).
% 0.74/0.85 tff(2274,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 0.74/0.85 inference(quant_inst,[status(thm)],[])).
% 0.74/0.85 tff(2275,plain,
% 0.74/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 0.74/0.85 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 0.74/0.85 tff(2276,plain,
% 0.74/0.85 (~node10(s22)),
% 0.74/0.85 inference(unit_resolution,[status(thm)],[2275, 249, 2197])).
% 0.74/0.85 tff(2277,plain,
% 0.74/0.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 0.74/0.86 inference(rewrite,[status(thm)],[])).
% 0.74/0.86 tff(2278,plain,
% 0.74/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 0.74/0.86 inference(quant_inst,[status(thm)],[])).
% 0.74/0.86 tff(2279,plain,
% 0.74/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 0.74/0.86 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 0.74/0.86 tff(2280,plain,
% 0.74/0.86 (~node11(s22)),
% 0.74/0.86 inference(unit_resolution,[status(thm)],[2279, 238, 2217])).
% 0.74/0.86 tff(2281,plain,
% 0.74/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23))),
% 0.74/0.86 inference(rewrite,[status(thm)],[])).
% 0.74/0.86 tff(2282,plain,
% 0.74/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 0.74/0.86 inference(quant_inst,[status(thm)],[])).
% 0.74/0.86 tff(2283,plain,
% 0.74/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 0.74/0.86 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 0.74/0.86 tff(2284,plain,
% 0.74/0.86 (node14(s22, s23)),
% 0.74/0.86 inference(unit_resolution,[status(thm)],[2283, 46, 2228])).
% 0.74/0.86 tff(2285,plain,
% 0.74/0.86 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 0.74/0.86 inference(rewrite,[status(thm)],[])).
% 0.74/0.86 tff(2286,plain,
% 0.74/0.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 0.74/0.86 inference(quant_inst,[status(thm)],[])).
% 0.74/0.86 tff(2287,plain,
% 0.74/0.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23))),
% 0.74/0.86 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 0.74/0.86 tff(2288,plain,
% 0.74/0.86 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 0.74/0.86 inference(unit_resolution,[status(thm)],[2287, 296, 2284])).
% 0.74/0.86 tff(2289,plain,
% 0.74/0.86 (node13(s22, s23)),
% 0.74/0.86 inference(unit_resolution,[status(thm)],[2288, 2280, 2205, 2276, 2272, 2268, 2264])).
% 0.74/0.86 tff(2290,plain,
% 0.74/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 0.74/0.86 inference(rewrite,[status(thm)],[])).
% 0.74/0.86 tff(2291,plain,
% 0.74/0.86 (((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2)) <=> ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 0.74/0.86 inference(rewrite,[status(thm)],[])).
% 0.74/0.86 tff(2292,plain,
% 0.74/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))))),
% 0.74/0.86 inference(monotonicity,[status(thm)],[2291])).
% 0.74/0.86 tff(2293,plain,
% 0.74/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 0.83/0.86 inference(transitivity,[status(thm)],[2292, 2290])).
% 0.83/0.86 tff(2294,plain,
% 0.83/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2295,plain,
% 0.83/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 0.83/0.86 tff(2296,plain,
% 0.83/0.86 (m_main_v_state2(s23, c_t2)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2295, 518, 2193, 2289])).
% 0.83/0.86 tff(2297,plain,
% 0.83/0.86 (succ(s23, s24) <=> succ(s23, s24)),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2298,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 0.83/0.86 tff(2299,plain,
% 0.83/0.86 (succ(s23, s24)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 0.83/0.86 tff(2300,plain,
% 0.83/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2301,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2302,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 0.83/0.86 tff(2303,plain,
% 0.83/0.86 (trans(s23, s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2302, 2299, 32])).
% 0.83/0.86 tff(2304,plain,
% 0.83/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2305,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2306,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 0.83/0.86 tff(2307,plain,
% 0.83/0.86 (node7(s23, s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2306, 206, 2303])).
% 0.83/0.86 tff(2308,plain,
% 0.83/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2309,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2310,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 0.83/0.86 tff(2311,plain,
% 0.83/0.86 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2310, 651, 2307])).
% 0.83/0.86 tff(2312,plain,
% 0.83/0.86 (m_main_v_state1(s24, c_t1)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2311, 2296, 2240])).
% 0.83/0.86 tff(2313,plain,
% 0.83/0.86 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2314,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2315,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 0.83/0.86 tff(2316,plain,
% 0.83/0.86 (~m_main_v_state1(s24, c_n1)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2315, 10, 2312])).
% 0.83/0.86 tff(2317,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2318,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2319,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 0.83/0.86 tff(2320,plain,
% 0.83/0.86 (~node1(s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2319, 421, 2316])).
% 0.83/0.86 tff(2321,plain,
% 0.83/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2322,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2323,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 0.83/0.86 tff(2324,plain,
% 0.83/0.86 (node18(s23, s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2323, 125, 2303])).
% 0.83/0.86 tff(2325,plain,
% 0.83/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2326,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2327,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 0.83/0.86 tff(2328,plain,
% 0.83/0.86 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2327, 760, 2324])).
% 0.83/0.86 tff(2329,plain,
% 0.83/0.86 (m_main_v_turn(s24, c_2)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2328, 2296, 2240])).
% 0.83/0.86 tff(2330,plain,
% 0.83/0.86 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2331,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2332,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2331, 2330])).
% 0.83/0.86 tff(2333,plain,
% 0.83/0.86 (~m_main_v_turn(s24, c_1)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2332, 156, 2329])).
% 0.83/0.86 tff(2334,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2335,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2336,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 0.83/0.86 tff(2337,plain,
% 0.83/0.86 (~node5(s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2336, 776, 2333])).
% 0.83/0.86 tff(2338,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2339,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2340,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 0.83/0.86 tff(2341,plain,
% 0.83/0.86 (~node2(s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2340, 787, 2316])).
% 0.83/0.86 tff(2342,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2343,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2344,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 0.83/0.86 tff(2345,plain,
% 0.83/0.86 (~node3(s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2344, 798, 2316])).
% 0.83/0.86 tff(2346,plain,
% 0.83/0.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2347,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2348,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 0.83/0.86 tff(2349,plain,
% 0.83/0.86 (~m_main_v_state1(s24, c_c1)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2348, 539, 2312])).
% 0.83/0.86 tff(2350,plain,
% 0.83/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2351,plain,
% 0.83/0.86 (((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2))) <=> (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2352,plain,
% 0.83/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))))),
% 0.83/0.86 inference(monotonicity,[status(thm)],[2351])).
% 0.83/0.86 tff(2353,plain,
% 0.83/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 0.83/0.86 inference(transitivity,[status(thm)],[2352, 2350])).
% 0.83/0.86 tff(2354,plain,
% 0.83/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2355,plain,
% 0.83/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 0.83/0.86 tff(2356,plain,
% 0.83/0.86 (~m_main_v_state2(s23, c_n2)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2355, 311, 2197, 2289])).
% 0.83/0.86 tff(2357,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2358,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2359,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 0.83/0.86 tff(2360,plain,
% 0.83/0.86 (~node9(s23)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2359, 88, 2356])).
% 0.83/0.86 tff(2361,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2362,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2363,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 0.83/0.86 tff(2364,plain,
% 0.83/0.86 (~node10(s23)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2363, 249, 2356])).
% 0.83/0.86 tff(2365,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2366,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2367,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 0.83/0.86 tff(2368,plain,
% 0.83/0.86 (~node8(s23)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2367, 271, 2356])).
% 0.83/0.86 tff(2369,plain,
% 0.83/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2370,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2371,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 0.83/0.86 tff(2372,plain,
% 0.83/0.86 (node14(s23, s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2371, 46, 2303])).
% 0.83/0.86 tff(2373,plain,
% 0.83/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2374,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2375,plain,
% 0.83/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2)),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 0.83/0.86 tff(2376,plain,
% 0.83/0.86 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | m_main_v_state2(s24, c_c2)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2375, 617, 2372])).
% 0.83/0.86 tff(2377,plain,
% 0.83/0.86 (m_main_v_state2(s24, c_c2)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2376, 2368, 2240, 2296, 2364, 2360])).
% 0.83/0.86 tff(2378,plain,
% 0.83/0.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2379,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2380,plain,
% 0.83/0.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 0.83/0.86 tff(2381,plain,
% 0.83/0.86 (~m_main_v_state2(s24, c_n2)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2380, 697, 2377])).
% 0.83/0.86 tff(2382,plain,
% 0.83/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.86 tff(2383,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 0.83/0.86 inference(quant_inst,[status(thm)],[])).
% 0.83/0.86 tff(2384,plain,
% 0.83/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 0.83/0.86 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 0.83/0.86 tff(2385,plain,
% 0.83/0.86 (~node4(s24)),
% 0.83/0.86 inference(unit_resolution,[status(thm)],[2384, 388, 2381])).
% 0.83/0.86 tff(2386,plain,
% 0.83/0.86 (succ(s24, s25) <=> succ(s24, s25)),
% 0.83/0.86 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2387,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 0.83/0.87 tff(2388,plain,
% 0.83/0.87 (succ(s24, s25)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 0.83/0.87 tff(2389,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2390,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2391,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 0.83/0.87 tff(2392,plain,
% 0.83/0.87 (trans(s24, s25)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2391, 2388, 32])).
% 0.83/0.87 tff(2393,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2394,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2395,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 0.83/0.87 tff(2396,plain,
% 0.83/0.87 (node7(s24, s25)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2395, 206, 2392])).
% 0.83/0.87 tff(2397,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2398,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2399,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 0.83/0.87 tff(2400,plain,
% 0.83/0.87 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2399, 820, 2396])).
% 0.83/0.87 tff(2401,plain,
% 0.83/0.87 (node6(s24, s25)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2400, 2385, 2349, 2345, 2341, 2337, 2320])).
% 0.83/0.87 tff(2402,plain,
% 0.83/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2403,plain,
% 0.83/0.87 (((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1)) <=> ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2404,plain,
% 0.83/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))))),
% 0.83/0.87 inference(monotonicity,[status(thm)],[2403])).
% 0.83/0.87 tff(2405,plain,
% 0.83/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 0.83/0.87 inference(transitivity,[status(thm)],[2404, 2402])).
% 0.83/0.87 tff(2406,plain,
% 0.83/0.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2407,plain,
% 0.83/0.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 0.83/0.87 tff(2408,plain,
% 0.83/0.87 (m_main_v_state1(s25, c_t1)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2407, 856, 2312, 2401])).
% 0.83/0.87 tff(2409,plain,
% 0.83/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2410,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2411,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2410, 2409])).
% 0.83/0.87 tff(2412,plain,
% 0.83/0.87 (~m_main_v_state2(s24, c_t2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2411, 260, 2377])).
% 0.83/0.87 tff(2413,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2414,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2415,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 0.83/0.87 tff(2416,plain,
% 0.83/0.87 (~node12(s24)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2415, 633, 2412])).
% 0.83/0.87 tff(2417,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2418,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2419,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 0.83/0.87 tff(2420,plain,
% 0.83/0.87 (~node11(s24)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2419, 238, 2316])).
% 0.83/0.87 tff(2421,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2422,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2423,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 0.83/0.87 tff(2424,plain,
% 0.83/0.87 (~node10(s24)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2423, 675, 2349])).
% 0.83/0.87 tff(2425,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2426,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2427,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 0.83/0.87 tff(2428,plain,
% 0.83/0.87 (~node9(s24)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2427, 686, 2316])).
% 0.83/0.87 tff(2429,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2430,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2431,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 0.83/0.87 tff(2432,plain,
% 0.83/0.87 (~node8(s24)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2431, 271, 2381])).
% 0.83/0.87 tff(2433,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2434,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2435,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 0.83/0.87 tff(2436,plain,
% 0.83/0.87 (node14(s24, s25)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2435, 46, 2392])).
% 0.83/0.87 tff(2437,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2438,plain,
% 0.83/0.87 (((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2)) <=> (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2439,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))))),
% 0.83/0.87 inference(monotonicity,[status(thm)],[2438])).
% 0.83/0.87 tff(2440,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 0.83/0.87 inference(transitivity,[status(thm)],[2439, 2437])).
% 0.83/0.87 tff(2441,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2442,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2441, 2440])).
% 0.83/0.87 tff(2443,plain,
% 0.83/0.87 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2442, 726, 2436])).
% 0.83/0.87 tff(2444,plain,
% 0.83/0.87 (m_main_v_state2(s25, c_n2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2443, 2432, 2377, 2428, 2424, 2420, 2416])).
% 0.83/0.87 tff(2445,plain,
% 0.83/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2446,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2447,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 0.83/0.87 tff(2448,plain,
% 0.83/0.87 (~m_main_v_state2(s25, c_t2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2447, 77, 2444])).
% 0.83/0.87 tff(2449,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2450,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2451,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 0.83/0.87 tff(2452,plain,
% 0.83/0.87 (~node15(s25)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2451, 103, 2448])).
% 0.83/0.87 tff(2453,plain,
% 0.83/0.87 (succ(s25, s26) <=> succ(s25, s26)),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2454,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 0.83/0.87 tff(2455,plain,
% 0.83/0.87 (succ(s25, s26)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 0.83/0.87 tff(2456,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2457,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2458,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 0.83/0.87 tff(2459,plain,
% 0.83/0.87 (trans(s25, s26)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2458, 2455, 32])).
% 0.83/0.87 tff(2460,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2461,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2462,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 0.83/0.87 tff(2463,plain,
% 0.83/0.87 (node18(s25, s26)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2462, 125, 2459])).
% 0.83/0.87 tff(2464,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2465,plain,
% 0.83/0.87 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1)) <=> (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2466,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)))),
% 0.83/0.87 inference(monotonicity,[status(thm)],[2465])).
% 0.83/0.87 tff(2467,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 0.83/0.87 inference(transitivity,[status(thm)],[2466, 2464])).
% 0.83/0.87 tff(2468,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2469,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 0.83/0.87 tff(2470,plain,
% 0.83/0.87 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2469, 992, 2463])).
% 0.83/0.87 tff(2471,plain,
% 0.83/0.87 (m_main_v_turn(s26, c_1)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2470, 2452, 2444, 2408])).
% 0.83/0.87 tff(2472,plain,
% 0.83/0.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2473,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2474,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 0.83/0.87 tff(2475,plain,
% 0.83/0.87 (~m_main_v_turn(s26, c_2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2474, 156, 2471])).
% 0.83/0.87 tff(2476,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2477,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2478,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 0.83/0.87 tff(2479,plain,
% 0.83/0.87 (~node12(s26)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2478, 184, 2475])).
% 0.83/0.87 tff(2480,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2481,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2482,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 0.83/0.87 tff(2483,plain,
% 0.83/0.87 (node14(s25, s26)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2482, 46, 2459])).
% 0.83/0.87 tff(2484,plain,
% 0.83/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2485,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2486,plain,
% 0.83/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2)),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2485, 2484])).
% 0.83/0.87 tff(2487,plain,
% 0.83/0.87 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2486, 922, 2483])).
% 0.83/0.87 tff(2488,plain,
% 0.83/0.87 (m_main_v_state2(s26, c_t2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2487, 2408, 2444])).
% 0.83/0.87 tff(2489,plain,
% 0.83/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2490,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2491,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 0.83/0.87 tff(2492,plain,
% 0.83/0.87 (~m_main_v_state2(s26, c_n2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2491, 77, 2488])).
% 0.83/0.87 tff(2493,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2494,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2495,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 0.83/0.87 tff(2496,plain,
% 0.83/0.87 (~node8(s26)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2495, 271, 2492])).
% 0.83/0.87 tff(2497,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2498,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2499,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 0.83/0.87 tff(2500,plain,
% 0.83/0.87 (~node9(s26)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2499, 88, 2492])).
% 0.83/0.87 tff(2501,plain,
% 0.83/0.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2502,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2503,plain,
% 0.83/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 0.83/0.87 tff(2504,plain,
% 0.83/0.87 (~node10(s26)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2503, 249, 2492])).
% 0.83/0.87 tff(2505,plain,
% 0.83/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.87 tff(2506,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 0.83/0.87 inference(quant_inst,[status(thm)],[])).
% 0.83/0.87 tff(2507,plain,
% 0.83/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2))),
% 0.83/0.87 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 0.83/0.87 tff(2508,plain,
% 0.83/0.87 (~m_main_v_state2(s26, c_c2)),
% 0.83/0.87 inference(unit_resolution,[status(thm)],[2507, 260, 2488])).
% 0.83/0.87 tff(2509,plain,
% 0.83/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 0.83/0.87 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2510,plain,
% 0.83/0.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2511,plain,
% 0.83/0.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 0.83/0.88 tff(2512,plain,
% 0.83/0.88 (~m_main_v_state2(s25, c_c2)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2511, 697, 2444])).
% 0.83/0.88 tff(2513,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2514,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2515,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 0.83/0.88 tff(2516,plain,
% 0.83/0.88 (~node3(s25)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2515, 399, 2512])).
% 0.83/0.88 tff(2517,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2518,plain,
% 0.83/0.88 (((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1))) <=> (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2519,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))))),
% 0.83/0.88 inference(monotonicity,[status(thm)],[2518])).
% 0.83/0.88 tff(2520,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 0.83/0.88 inference(transitivity,[status(thm)],[2519, 2517])).
% 0.83/0.88 tff(2521,plain,
% 0.83/0.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2522,plain,
% 0.83/0.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 0.83/0.88 tff(2523,plain,
% 0.83/0.88 (~m_main_v_state1(s25, c_n1)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2522, 835, 2316, 2401])).
% 0.83/0.88 tff(2524,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2525,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2526,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 0.83/0.88 tff(2527,plain,
% 0.83/0.88 (~node2(s25)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2526, 787, 2523])).
% 0.83/0.88 tff(2528,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2529,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2530,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 0.83/0.88 tff(2531,plain,
% 0.83/0.88 (~node1(s25)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2530, 195, 2448])).
% 0.83/0.88 tff(2532,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2533,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2534,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 0.83/0.88 tff(2535,plain,
% 0.83/0.88 (node7(s25, s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2534, 206, 2459])).
% 0.83/0.88 tff(2536,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2537,plain,
% 0.83/0.88 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1)) <=> ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2538,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))))),
% 0.83/0.88 inference(monotonicity,[status(thm)],[2537])).
% 0.83/0.88 tff(2539,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 0.83/0.88 inference(transitivity,[status(thm)],[2538, 2536])).
% 0.83/0.88 tff(2540,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2541,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 0.83/0.88 tff(2542,plain,
% 0.83/0.88 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2541, 892, 2535])).
% 0.83/0.88 tff(2543,plain,
% 0.83/0.88 (m_main_v_state1(s26, c_c1)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2542, 2531, 2444, 2408, 2527, 2516])).
% 0.83/0.88 tff(2544,plain,
% 0.83/0.88 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2545,plain,
% 0.83/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2546,plain,
% 0.83/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2545, 2544])).
% 0.83/0.88 tff(2547,plain,
% 0.83/0.88 (~m_main_v_state1(s26, c_n1)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2546, 454, 2543])).
% 0.83/0.88 tff(2548,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2549,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2550,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 0.83/0.88 tff(2551,plain,
% 0.83/0.88 (~node11(s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2550, 238, 2547])).
% 0.83/0.88 tff(2552,plain,
% 0.83/0.88 (succ(s26, s27) <=> succ(s26, s27)),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2553,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 0.83/0.88 tff(2554,plain,
% 0.83/0.88 (succ(s26, s27)),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 0.83/0.88 tff(2555,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2556,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2557,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 0.83/0.88 tff(2558,plain,
% 0.83/0.88 (trans(s26, s27)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2557, 2554, 32])).
% 0.83/0.88 tff(2559,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2560,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2561,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 0.83/0.88 tff(2562,plain,
% 0.83/0.88 (node14(s26, s27)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2561, 46, 2558])).
% 0.83/0.88 tff(2563,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2564,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2565,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 0.83/0.88 tff(2566,plain,
% 0.83/0.88 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2565, 296, 2562])).
% 0.83/0.88 tff(2567,plain,
% 0.83/0.88 (node13(s26, s27)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2566, 2551, 2508, 2504, 2500, 2496, 2479])).
% 0.83/0.88 tff(2568,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2569,plain,
% 0.83/0.88 (((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2))) <=> (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2570,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))))),
% 0.83/0.88 inference(monotonicity,[status(thm)],[2569])).
% 0.83/0.88 tff(2571,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 0.83/0.88 inference(transitivity,[status(thm)],[2570, 2568])).
% 0.83/0.88 tff(2572,plain,
% 0.83/0.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2573,plain,
% 0.83/0.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 0.83/0.88 tff(2574,plain,
% 0.83/0.88 (~m_main_v_state2(s27, c_n2)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2573, 311, 2492, 2567])).
% 0.83/0.88 tff(2575,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2576,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2577,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 0.83/0.88 tff(2578,plain,
% 0.83/0.88 (~node9(s27)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2577, 88, 2574])).
% 0.83/0.88 tff(2579,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2580,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2581,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 0.83/0.88 tff(2582,plain,
% 0.83/0.88 (~node10(s27)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2581, 249, 2574])).
% 0.83/0.88 tff(2583,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2584,plain,
% 0.83/0.88 (((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2)) <=> ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2585,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))))),
% 0.83/0.88 inference(monotonicity,[status(thm)],[2584])).
% 0.83/0.88 tff(2586,plain,
% 0.83/0.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 0.83/0.88 inference(transitivity,[status(thm)],[2585, 2583])).
% 0.83/0.88 tff(2587,plain,
% 0.83/0.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2588,plain,
% 0.83/0.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 0.83/0.88 tff(2589,plain,
% 0.83/0.88 (m_main_v_state2(s27, c_t2)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2588, 518, 2488, 2567])).
% 0.83/0.88 tff(2590,plain,
% 0.83/0.88 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2591,plain,
% 0.83/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2592,plain,
% 0.83/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2591, 2590])).
% 0.83/0.88 tff(2593,plain,
% 0.83/0.88 (~m_main_v_state1(s26, c_t1)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2592, 539, 2543])).
% 0.83/0.88 tff(2594,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2595,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2596,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 0.83/0.88 tff(2597,plain,
% 0.83/0.88 (~node5(s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2596, 550, 2593])).
% 0.83/0.88 tff(2598,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2599,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2600,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 0.83/0.88 tff(2601,plain,
% 0.83/0.88 (~node4(s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2600, 388, 2492])).
% 0.83/0.88 tff(2602,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2603,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2604,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 0.83/0.88 tff(2605,plain,
% 0.83/0.88 (~node3(s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2604, 399, 2508])).
% 0.83/0.88 tff(2606,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2607,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2608,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 0.83/0.88 tff(2609,plain,
% 0.83/0.88 (~node2(s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2608, 410, 2492])).
% 0.83/0.88 tff(2610,plain,
% 0.83/0.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2611,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2612,plain,
% 0.83/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 0.83/0.88 tff(2613,plain,
% 0.83/0.88 (~node1(s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2612, 421, 2547])).
% 0.83/0.88 tff(2614,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2615,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2616,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 0.83/0.88 tff(2617,plain,
% 0.83/0.88 (node7(s26, s27)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2616, 206, 2558])).
% 0.83/0.88 tff(2618,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2619,plain,
% 0.83/0.88 (((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1)) <=> (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 0.83/0.88 inference(rewrite,[status(thm)],[])).
% 0.83/0.88 tff(2620,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))))),
% 0.83/0.88 inference(monotonicity,[status(thm)],[2619])).
% 0.83/0.88 tff(2621,plain,
% 0.83/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 0.83/0.88 inference(transitivity,[status(thm)],[2620, 2618])).
% 0.83/0.88 tff(2622,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))),
% 0.83/0.88 inference(quant_inst,[status(thm)],[])).
% 0.83/0.88 tff(2623,plain,
% 0.83/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))),
% 0.83/0.88 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 0.83/0.88 tff(2624,plain,
% 0.83/0.88 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2623, 584, 2617])).
% 0.83/0.88 tff(2625,plain,
% 0.83/0.88 (m_main_v_state1(s27, c_n1)),
% 0.83/0.88 inference(unit_resolution,[status(thm)],[2624, 2613, 2543, 2609, 2605, 2601, 2597])).
% 0.83/0.89 tff(2626,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2627,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2628,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 0.83/0.89 tff(2629,plain,
% 0.83/0.89 (~node8(s27)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2628, 271, 2574])).
% 0.83/0.89 tff(2630,plain,
% 0.83/0.89 (succ(s27, s28) <=> succ(s27, s28)),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2631,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 0.83/0.89 tff(2632,plain,
% 0.83/0.89 (succ(s27, s28)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 0.83/0.89 tff(2633,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2634,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2635,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 0.83/0.89 tff(2636,plain,
% 0.83/0.89 (trans(s27, s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2635, 2632, 32])).
% 0.83/0.89 tff(2637,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2638,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2639,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 0.83/0.89 tff(2640,plain,
% 0.83/0.89 (node14(s27, s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2639, 46, 2636])).
% 0.83/0.89 tff(2641,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2642,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2643,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 0.83/0.89 tff(2644,plain,
% 0.83/0.89 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | m_main_v_state2(s28, c_c2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2643, 617, 2640])).
% 0.83/0.89 tff(2645,plain,
% 0.83/0.89 (m_main_v_state2(s28, c_c2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2644, 2629, 2625, 2589, 2582, 2578])).
% 0.83/0.89 tff(2646,plain,
% 0.83/0.89 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2647,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2648,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 0.83/0.89 tff(2649,plain,
% 0.83/0.89 (~m_main_v_state2(s28, c_t2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2648, 260, 2645])).
% 0.83/0.89 tff(2650,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2651,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2652,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 0.83/0.89 tff(2653,plain,
% 0.83/0.89 (~node12(s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2652, 633, 2649])).
% 0.83/0.89 tff(2654,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2655,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2656,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 0.83/0.89 tff(2657,plain,
% 0.83/0.89 (node7(s27, s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2656, 206, 2636])).
% 0.83/0.89 tff(2658,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2659,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2660,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 0.83/0.89 tff(2661,plain,
% 0.83/0.89 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2660, 651, 2657])).
% 0.83/0.89 tff(2662,plain,
% 0.83/0.89 (m_main_v_state1(s28, c_t1)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2661, 2589, 2625])).
% 0.83/0.89 tff(2663,plain,
% 0.83/0.89 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2664,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2665,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 0.83/0.89 tff(2666,plain,
% 0.83/0.89 (~m_main_v_state1(s28, c_n1)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2665, 10, 2662])).
% 0.83/0.89 tff(2667,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2668,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2669,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 0.83/0.89 tff(2670,plain,
% 0.83/0.89 (~node11(s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2669, 238, 2666])).
% 0.83/0.89 tff(2671,plain,
% 0.83/0.89 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2672,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2673,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 0.83/0.89 tff(2674,plain,
% 0.83/0.89 (~m_main_v_state1(s28, c_c1)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2673, 539, 2662])).
% 0.83/0.89 tff(2675,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2676,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2677,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 0.83/0.89 tff(2678,plain,
% 0.83/0.89 (~node10(s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2677, 675, 2674])).
% 0.83/0.89 tff(2679,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2680,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2681,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 0.83/0.89 tff(2682,plain,
% 0.83/0.89 (~node9(s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2681, 686, 2666])).
% 0.83/0.89 tff(2683,plain,
% 0.83/0.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2684,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2685,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 0.83/0.89 tff(2686,plain,
% 0.83/0.89 (~m_main_v_state2(s28, c_n2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2685, 697, 2645])).
% 0.83/0.89 tff(2687,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2688,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2689,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 0.83/0.89 tff(2690,plain,
% 0.83/0.89 (~node8(s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2689, 271, 2686])).
% 0.83/0.89 tff(2691,plain,
% 0.83/0.89 (succ(s28, s29) <=> succ(s28, s29)),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2692,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 0.83/0.89 tff(2693,plain,
% 0.83/0.89 (succ(s28, s29)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2692, 2691])).
% 0.83/0.89 tff(2694,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2695,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2696,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 0.83/0.89 tff(2697,plain,
% 0.83/0.89 (trans(s28, s29)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2696, 2693, 32])).
% 0.83/0.89 tff(2698,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2699,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2700,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 0.83/0.89 tff(2701,plain,
% 0.83/0.89 (node14(s28, s29)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2700, 46, 2697])).
% 0.83/0.89 tff(2702,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2703,plain,
% 0.83/0.89 (((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2)) <=> (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2704,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))))),
% 0.83/0.89 inference(monotonicity,[status(thm)],[2703])).
% 0.83/0.89 tff(2705,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 0.83/0.89 inference(transitivity,[status(thm)],[2704, 2702])).
% 0.83/0.89 tff(2706,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2707,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 0.83/0.89 tff(2708,plain,
% 0.83/0.89 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2707, 726, 2701])).
% 0.83/0.89 tff(2709,plain,
% 0.83/0.89 (m_main_v_state2(s29, c_n2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2708, 2690, 2645, 2682, 2678, 2670, 2653])).
% 0.83/0.89 tff(2710,plain,
% 0.83/0.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2711,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2712,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 0.83/0.89 tff(2713,plain,
% 0.83/0.89 (~m_main_v_state2(s29, c_c2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2712, 697, 2709])).
% 0.83/0.89 tff(2714,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2715,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2716,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 0.83/0.89 tff(2717,plain,
% 0.83/0.89 (~node3(s29)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2716, 399, 2713])).
% 0.83/0.89 tff(2718,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2719,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2720,plain,
% 0.83/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 0.83/0.89 tff(2721,plain,
% 0.83/0.89 (~node1(s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2720, 421, 2666])).
% 0.83/0.89 tff(2722,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2723,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2724,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 0.83/0.89 tff(2725,plain,
% 0.83/0.89 (node18(s27, s28)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2724, 125, 2636])).
% 0.83/0.89 tff(2726,plain,
% 0.83/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2727,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2728,plain,
% 0.83/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2)),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 0.83/0.89 tff(2729,plain,
% 0.83/0.89 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2728, 760, 2725])).
% 0.83/0.89 tff(2730,plain,
% 0.83/0.89 (m_main_v_turn(s28, c_2)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2729, 2589, 2625])).
% 0.83/0.89 tff(2731,plain,
% 0.83/0.89 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.83/0.89 tff(2732,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 0.83/0.89 inference(quant_inst,[status(thm)],[])).
% 0.83/0.89 tff(2733,plain,
% 0.83/0.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2))),
% 0.83/0.89 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 0.83/0.89 tff(2734,plain,
% 0.83/0.89 (~m_main_v_turn(s28, c_1)),
% 0.83/0.89 inference(unit_resolution,[status(thm)],[2733, 156, 2730])).
% 0.83/0.89 tff(2735,plain,
% 0.83/0.89 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 0.83/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(2736,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 0.87/0.89 inference(quant_inst,[status(thm)],[])).
% 0.87/0.89 tff(2737,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 0.87/0.89 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 0.87/0.89 tff(2738,plain,
% 0.87/0.89 (~node5(s28)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[2737, 776, 2734])).
% 0.87/0.89 tff(2739,plain,
% 0.87/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(2740,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 0.87/0.89 inference(quant_inst,[status(thm)],[])).
% 0.87/0.89 tff(2741,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 0.87/0.89 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 0.87/0.89 tff(2742,plain,
% 0.87/0.89 (~node2(s28)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[2741, 787, 2666])).
% 0.87/0.89 tff(2743,plain,
% 0.87/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(2744,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 0.87/0.89 inference(quant_inst,[status(thm)],[])).
% 0.87/0.89 tff(2745,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 0.87/0.89 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 0.87/0.89 tff(2746,plain,
% 0.87/0.89 (~node3(s28)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[2745, 798, 2666])).
% 0.87/0.89 tff(2747,plain,
% 0.87/0.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(2748,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 0.87/0.89 inference(quant_inst,[status(thm)],[])).
% 0.87/0.89 tff(2749,plain,
% 0.87/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 0.87/0.89 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 0.87/0.89 tff(2750,plain,
% 0.87/0.89 (~node4(s28)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[2749, 388, 2686])).
% 0.87/0.89 tff(2751,plain,
% 0.87/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(2752,plain,
% 0.87/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 0.87/0.89 inference(quant_inst,[status(thm)],[])).
% 0.87/0.89 tff(2753,plain,
% 0.87/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 0.87/0.89 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 0.87/0.89 tff(2754,plain,
% 0.87/0.89 (node7(s28, s29)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[2753, 206, 2697])).
% 0.87/0.89 tff(2755,plain,
% 0.87/0.89 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(2756,plain,
% 0.87/0.89 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2757,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 0.87/0.90 tff(2758,plain,
% 0.87/0.90 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2757, 820, 2754])).
% 0.87/0.90 tff(2759,plain,
% 0.87/0.90 (node6(s28, s29)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2758, 2750, 2674, 2746, 2742, 2738, 2721])).
% 0.87/0.90 tff(2760,plain,
% 0.87/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2761,plain,
% 0.87/0.90 (((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1))) <=> (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2762,plain,
% 0.87/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))))),
% 0.87/0.90 inference(monotonicity,[status(thm)],[2761])).
% 0.87/0.90 tff(2763,plain,
% 0.87/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 0.87/0.90 inference(transitivity,[status(thm)],[2762, 2760])).
% 0.87/0.90 tff(2764,plain,
% 0.87/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2765,plain,
% 0.87/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 0.87/0.90 tff(2766,plain,
% 0.87/0.90 (~m_main_v_state1(s29, c_n1)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2765, 835, 2666, 2759])).
% 0.87/0.90 tff(2767,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2768,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2769,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 0.87/0.90 tff(2770,plain,
% 0.87/0.90 (~node2(s29)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2769, 787, 2766])).
% 0.87/0.90 tff(2771,plain,
% 0.87/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2772,plain,
% 0.87/0.90 (((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1)) <=> ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2773,plain,
% 0.87/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))))),
% 0.87/0.90 inference(monotonicity,[status(thm)],[2772])).
% 0.87/0.90 tff(2774,plain,
% 0.87/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 0.87/0.90 inference(transitivity,[status(thm)],[2773, 2771])).
% 0.87/0.90 tff(2775,plain,
% 0.87/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2776,plain,
% 0.87/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 0.87/0.90 tff(2777,plain,
% 0.87/0.90 (m_main_v_state1(s29, c_t1)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2776, 856, 2662, 2759])).
% 0.87/0.90 tff(2778,plain,
% 0.87/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2779,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2780,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 0.87/0.90 tff(2781,plain,
% 0.87/0.90 (~m_main_v_state2(s29, c_t2)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2780, 77, 2709])).
% 0.87/0.90 tff(2782,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2783,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2784,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2783, 2782])).
% 0.87/0.90 tff(2785,plain,
% 0.87/0.90 (~node1(s29)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2784, 195, 2781])).
% 0.87/0.90 tff(2786,plain,
% 0.87/0.90 (succ(s29, s30) <=> succ(s29, s30)),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2787,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 0.87/0.90 tff(2788,plain,
% 0.87/0.90 (succ(s29, s30)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 0.87/0.90 tff(2789,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2790,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2791,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 0.87/0.90 tff(2792,plain,
% 0.87/0.90 (trans(s29, s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2791, 2788, 32])).
% 0.87/0.90 tff(2793,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2794,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2795,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 0.87/0.90 tff(2796,plain,
% 0.87/0.90 (node7(s29, s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2795, 206, 2792])).
% 0.87/0.90 tff(2797,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2798,plain,
% 0.87/0.90 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1)) <=> ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2799,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))))),
% 0.87/0.90 inference(monotonicity,[status(thm)],[2798])).
% 0.87/0.90 tff(2800,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 0.87/0.90 inference(transitivity,[status(thm)],[2799, 2797])).
% 0.87/0.90 tff(2801,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2802,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 0.87/0.90 tff(2803,plain,
% 0.87/0.90 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2802, 892, 2796])).
% 0.87/0.90 tff(2804,plain,
% 0.87/0.90 (m_main_v_state1(s30, c_c1)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2803, 2785, 2709, 2777, 2770, 2717])).
% 0.87/0.90 tff(2805,plain,
% 0.87/0.90 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2806,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2807,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 0.87/0.90 tff(2808,plain,
% 0.87/0.90 (~m_main_v_state1(s30, c_t1)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2807, 539, 2804])).
% 0.87/0.90 tff(2809,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2810,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2811,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 0.87/0.90 tff(2812,plain,
% 0.87/0.90 (~node5(s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2811, 550, 2808])).
% 0.87/0.90 tff(2813,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2814,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2815,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 0.87/0.90 tff(2816,plain,
% 0.87/0.90 (node14(s29, s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2815, 46, 2792])).
% 0.87/0.90 tff(2817,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2818,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2819,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 0.87/0.90 tff(2820,plain,
% 0.87/0.90 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2819, 922, 2816])).
% 0.87/0.90 tff(2821,plain,
% 0.87/0.90 (m_main_v_state2(s30, c_t2)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2820, 2777, 2709])).
% 0.87/0.90 tff(2822,plain,
% 0.87/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2823,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2824,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 0.87/0.90 tff(2825,plain,
% 0.87/0.90 (~m_main_v_state2(s30, c_n2)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2824, 77, 2821])).
% 0.87/0.90 tff(2826,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2827,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2828,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 0.87/0.90 tff(2829,plain,
% 0.87/0.90 (~node4(s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2828, 388, 2825])).
% 0.87/0.90 tff(2830,plain,
% 0.87/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2831,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2832,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 0.87/0.90 tff(2833,plain,
% 0.87/0.90 (~m_main_v_state2(s30, c_c2)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2832, 260, 2821])).
% 0.87/0.90 tff(2834,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2835,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2836,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 0.87/0.90 tff(2837,plain,
% 0.87/0.90 (~node3(s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2836, 399, 2833])).
% 0.87/0.90 tff(2838,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2839,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2840,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 0.87/0.90 tff(2841,plain,
% 0.87/0.90 (~node2(s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2840, 410, 2825])).
% 0.87/0.90 tff(2842,plain,
% 0.87/0.90 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2843,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2844,plain,
% 0.87/0.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 0.87/0.90 tff(2845,plain,
% 0.87/0.90 (~m_main_v_state1(s30, c_n1)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2844, 454, 2804])).
% 0.87/0.90 tff(2846,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2847,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2848,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 0.87/0.90 tff(2849,plain,
% 0.87/0.90 (~node1(s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2848, 421, 2845])).
% 0.87/0.90 tff(2850,plain,
% 0.87/0.90 (succ(s30, s31) <=> succ(s30, s31)),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2851,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 0.87/0.90 tff(2852,plain,
% 0.87/0.90 (succ(s30, s31)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 0.87/0.90 tff(2853,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2854,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2855,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 0.87/0.90 tff(2856,plain,
% 0.87/0.90 (trans(s30, s31)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2855, 2852, 32])).
% 0.87/0.90 tff(2857,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2858,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2859,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 0.87/0.90 tff(2860,plain,
% 0.87/0.90 (node7(s30, s31)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2859, 206, 2856])).
% 0.87/0.90 tff(2861,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2862,plain,
% 0.87/0.90 (((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1)) <=> (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2863,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))))),
% 0.87/0.90 inference(monotonicity,[status(thm)],[2862])).
% 0.87/0.90 tff(2864,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 0.87/0.90 inference(transitivity,[status(thm)],[2863, 2861])).
% 0.87/0.90 tff(2865,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2866,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 0.87/0.90 tff(2867,plain,
% 0.87/0.90 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2866, 584, 2860])).
% 0.87/0.90 tff(2868,plain,
% 0.87/0.90 (m_main_v_state1(s31, c_n1)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2867, 2849, 2804, 2841, 2837, 2829, 2812])).
% 0.87/0.90 tff(2869,plain,
% 0.87/0.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2870,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2871,plain,
% 0.87/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 0.87/0.90 tff(2872,plain,
% 0.87/0.90 (~node15(s29)),
% 0.87/0.90 inference(unit_resolution,[status(thm)],[2871, 103, 2781])).
% 0.87/0.90 tff(2873,plain,
% 0.87/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30))),
% 0.87/0.90 inference(rewrite,[status(thm)],[])).
% 0.87/0.90 tff(2874,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 0.87/0.90 inference(quant_inst,[status(thm)],[])).
% 0.87/0.90 tff(2875,plain,
% 0.87/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 0.87/0.90 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 0.87/0.91 tff(2876,plain,
% 0.87/0.91 (node18(s29, s30)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2875, 125, 2792])).
% 0.87/0.91 tff(2877,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2878,plain,
% 0.87/0.91 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1)) <=> (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2879,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)))),
% 0.87/0.91 inference(monotonicity,[status(thm)],[2878])).
% 0.87/0.91 tff(2880,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 0.87/0.91 inference(transitivity,[status(thm)],[2879, 2877])).
% 0.87/0.91 tff(2881,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2882,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 0.87/0.91 tff(2883,plain,
% 0.87/0.91 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2882, 992, 2876])).
% 0.87/0.91 tff(2884,plain,
% 0.87/0.91 (m_main_v_turn(s30, c_1)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2883, 2872, 2709, 2777])).
% 0.87/0.91 tff(2885,plain,
% 0.87/0.91 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2886,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2887,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 0.87/0.91 tff(2888,plain,
% 0.87/0.91 (~m_main_v_turn(s30, c_2)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2887, 156, 2884])).
% 0.87/0.91 tff(2889,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2890,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2891,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 0.87/0.91 tff(2892,plain,
% 0.87/0.91 (~node12(s30)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2891, 184, 2888])).
% 0.87/0.91 tff(2893,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2894,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2895,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 0.87/0.91 tff(2896,plain,
% 0.87/0.91 (~node8(s30)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2895, 271, 2825])).
% 0.87/0.91 tff(2897,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2898,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2899,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 0.87/0.91 tff(2900,plain,
% 0.87/0.91 (~node9(s30)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2899, 88, 2825])).
% 0.87/0.91 tff(2901,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2902,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2903,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 0.87/0.91 tff(2904,plain,
% 0.87/0.91 (~node10(s30)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2903, 249, 2825])).
% 0.87/0.91 tff(2905,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2906,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2907,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 0.87/0.91 tff(2908,plain,
% 0.87/0.91 (~node11(s30)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2907, 238, 2845])).
% 0.87/0.91 tff(2909,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2910,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2911,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 0.87/0.91 tff(2912,plain,
% 0.87/0.91 (node14(s30, s31)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2911, 46, 2856])).
% 0.87/0.91 tff(2913,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2914,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2915,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 0.87/0.91 tff(2916,plain,
% 0.87/0.91 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2915, 296, 2912])).
% 0.87/0.91 tff(2917,plain,
% 0.87/0.91 (node13(s30, s31)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2916, 2908, 2833, 2904, 2900, 2896, 2892])).
% 0.87/0.91 tff(2918,plain,
% 0.87/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2919,plain,
% 0.87/0.91 (((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2)) <=> ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2920,plain,
% 0.87/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))))),
% 0.87/0.91 inference(monotonicity,[status(thm)],[2919])).
% 0.87/0.91 tff(2921,plain,
% 0.87/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 0.87/0.91 inference(transitivity,[status(thm)],[2920, 2918])).
% 0.87/0.91 tff(2922,plain,
% 0.87/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2923,plain,
% 0.87/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 0.87/0.91 tff(2924,plain,
% 0.87/0.91 (m_main_v_state2(s31, c_t2)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2923, 518, 2821, 2917])).
% 0.87/0.91 tff(2925,plain,
% 0.87/0.91 (succ(s31, s32) <=> succ(s31, s32)),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2926,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 0.87/0.91 tff(2927,plain,
% 0.87/0.91 (succ(s31, s32)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 0.87/0.91 tff(2928,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2929,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2930,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 0.87/0.91 tff(2931,plain,
% 0.87/0.91 (trans(s31, s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2930, 2927, 32])).
% 0.87/0.91 tff(2932,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2933,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2934,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 0.87/0.91 tff(2935,plain,
% 0.87/0.91 (node7(s31, s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2934, 206, 2931])).
% 0.87/0.91 tff(2936,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2937,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2938,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 0.87/0.91 tff(2939,plain,
% 0.87/0.91 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2938, 651, 2935])).
% 0.87/0.91 tff(2940,plain,
% 0.87/0.91 (m_main_v_state1(s32, c_t1)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2939, 2924, 2868])).
% 0.87/0.91 tff(2941,plain,
% 0.87/0.91 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2942,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2943,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 0.87/0.91 tff(2944,plain,
% 0.87/0.91 (~m_main_v_state1(s32, c_n1)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2943, 10, 2940])).
% 0.87/0.91 tff(2945,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2946,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2947,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 0.87/0.91 tff(2948,plain,
% 0.87/0.91 (~node1(s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2947, 421, 2944])).
% 0.87/0.91 tff(2949,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2950,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2951,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 0.87/0.91 tff(2952,plain,
% 0.87/0.91 (node18(s31, s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2951, 125, 2931])).
% 0.87/0.91 tff(2953,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2954,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2955,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 0.87/0.91 tff(2956,plain,
% 0.87/0.91 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2955, 760, 2952])).
% 0.87/0.91 tff(2957,plain,
% 0.87/0.91 (m_main_v_turn(s32, c_2)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2956, 2924, 2868])).
% 0.87/0.91 tff(2958,plain,
% 0.87/0.91 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2959,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2960,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 0.87/0.91 tff(2961,plain,
% 0.87/0.91 (~m_main_v_turn(s32, c_1)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2960, 156, 2957])).
% 0.87/0.91 tff(2962,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2963,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2964,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 0.87/0.91 tff(2965,plain,
% 0.87/0.91 (~node5(s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2964, 776, 2961])).
% 0.87/0.91 tff(2966,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2967,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2968,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 0.87/0.91 tff(2969,plain,
% 0.87/0.91 (~node2(s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2968, 787, 2944])).
% 0.87/0.91 tff(2970,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2971,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2972,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 0.87/0.91 tff(2973,plain,
% 0.87/0.91 (~node3(s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2972, 798, 2944])).
% 0.87/0.91 tff(2974,plain,
% 0.87/0.91 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2975,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2976,plain,
% 0.87/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 0.87/0.91 tff(2977,plain,
% 0.87/0.91 (~m_main_v_state1(s32, c_c1)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2976, 539, 2940])).
% 0.87/0.91 tff(2978,plain,
% 0.87/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2979,plain,
% 0.87/0.91 (((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2))) <=> (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2980,plain,
% 0.87/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))))),
% 0.87/0.91 inference(monotonicity,[status(thm)],[2979])).
% 0.87/0.91 tff(2981,plain,
% 0.87/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 0.87/0.91 inference(transitivity,[status(thm)],[2980, 2978])).
% 0.87/0.91 tff(2982,plain,
% 0.87/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2983,plain,
% 0.87/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 0.87/0.91 tff(2984,plain,
% 0.87/0.91 (~m_main_v_state2(s31, c_n2)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2983, 311, 2825, 2917])).
% 0.87/0.91 tff(2985,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2986,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2987,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 0.87/0.91 tff(2988,plain,
% 0.87/0.91 (~node9(s31)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2987, 88, 2984])).
% 0.87/0.91 tff(2989,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2990,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2991,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 0.87/0.91 tff(2992,plain,
% 0.87/0.91 (~node10(s31)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2991, 249, 2984])).
% 0.87/0.91 tff(2993,plain,
% 0.87/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2994,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2995,plain,
% 0.87/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 0.87/0.91 tff(2996,plain,
% 0.87/0.91 (~node8(s31)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2995, 271, 2984])).
% 0.87/0.91 tff(2997,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32))),
% 0.87/0.91 inference(rewrite,[status(thm)],[])).
% 0.87/0.91 tff(2998,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 0.87/0.91 inference(quant_inst,[status(thm)],[])).
% 0.87/0.91 tff(2999,plain,
% 0.87/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 0.87/0.91 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 0.87/0.91 tff(3000,plain,
% 0.87/0.91 (node14(s31, s32)),
% 0.87/0.91 inference(unit_resolution,[status(thm)],[2999, 46, 2931])).
% 0.87/0.91 tff(3001,plain,
% 0.87/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3002,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3003,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 0.87/0.92 tff(3004,plain,
% 0.87/0.92 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | m_main_v_state2(s32, c_c2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3003, 617, 3000])).
% 0.87/0.92 tff(3005,plain,
% 0.87/0.92 (m_main_v_state2(s32, c_c2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3004, 2996, 2868, 2924, 2992, 2988])).
% 0.87/0.92 tff(3006,plain,
% 0.87/0.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3007,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3008,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 0.87/0.92 tff(3009,plain,
% 0.87/0.92 (~m_main_v_state2(s32, c_n2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3008, 697, 3005])).
% 0.87/0.92 tff(3010,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3011,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3012,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 0.87/0.92 tff(3013,plain,
% 0.87/0.92 (~node4(s32)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3012, 388, 3009])).
% 0.87/0.92 tff(3014,plain,
% 0.87/0.92 (succ(s32, s33) <=> succ(s32, s33)),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3015,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 0.87/0.92 tff(3016,plain,
% 0.87/0.92 (succ(s32, s33)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 0.87/0.92 tff(3017,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3018,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3019,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 0.87/0.92 tff(3020,plain,
% 0.87/0.92 (trans(s32, s33)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3019, 3016, 32])).
% 0.87/0.92 tff(3021,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3022,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3023,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 0.87/0.92 tff(3024,plain,
% 0.87/0.92 (node7(s32, s33)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3023, 206, 3020])).
% 0.87/0.92 tff(3025,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3026,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3027,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 0.87/0.92 tff(3028,plain,
% 0.87/0.92 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3027, 820, 3024])).
% 0.87/0.92 tff(3029,plain,
% 0.87/0.92 (node6(s32, s33)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3028, 3013, 2977, 2973, 2969, 2965, 2948])).
% 0.87/0.92 tff(3030,plain,
% 0.87/0.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3031,plain,
% 0.87/0.92 (((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1)) <=> ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3032,plain,
% 0.87/0.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))))),
% 0.87/0.92 inference(monotonicity,[status(thm)],[3031])).
% 0.87/0.92 tff(3033,plain,
% 0.87/0.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 0.87/0.92 inference(transitivity,[status(thm)],[3032, 3030])).
% 0.87/0.92 tff(3034,plain,
% 0.87/0.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3035,plain,
% 0.87/0.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 0.87/0.92 tff(3036,plain,
% 0.87/0.92 (m_main_v_state1(s33, c_t1)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3035, 856, 2940, 3029])).
% 0.87/0.92 tff(3037,plain,
% 0.87/0.92 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3038,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3039,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 0.87/0.92 tff(3040,plain,
% 0.87/0.92 (~m_main_v_state2(s32, c_t2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3039, 260, 3005])).
% 0.87/0.92 tff(3041,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3042,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3043,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 0.87/0.92 tff(3044,plain,
% 0.87/0.92 (~node12(s32)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3043, 633, 3040])).
% 0.87/0.92 tff(3045,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3046,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3047,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 0.87/0.92 tff(3048,plain,
% 0.87/0.92 (~node11(s32)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3047, 238, 2944])).
% 0.87/0.92 tff(3049,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3050,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3051,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 0.87/0.92 tff(3052,plain,
% 0.87/0.92 (~node10(s32)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3051, 675, 2977])).
% 0.87/0.92 tff(3053,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3054,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3055,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 0.87/0.92 tff(3056,plain,
% 0.87/0.92 (~node9(s32)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3055, 686, 2944])).
% 0.87/0.92 tff(3057,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3058,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3059,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 0.87/0.92 tff(3060,plain,
% 0.87/0.92 (~node8(s32)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3059, 271, 3009])).
% 0.87/0.92 tff(3061,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3062,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3063,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 0.87/0.92 tff(3064,plain,
% 0.87/0.92 (node14(s32, s33)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3063, 46, 3020])).
% 0.87/0.92 tff(3065,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3066,plain,
% 0.87/0.92 (((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2)) <=> (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3067,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))))),
% 0.87/0.92 inference(monotonicity,[status(thm)],[3066])).
% 0.87/0.92 tff(3068,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 0.87/0.92 inference(transitivity,[status(thm)],[3067, 3065])).
% 0.87/0.92 tff(3069,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3070,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 0.87/0.92 tff(3071,plain,
% 0.87/0.92 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3070, 726, 3064])).
% 0.87/0.92 tff(3072,plain,
% 0.87/0.92 (m_main_v_state2(s33, c_n2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3071, 3060, 3005, 3056, 3052, 3048, 3044])).
% 0.87/0.92 tff(3073,plain,
% 0.87/0.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3074,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3075,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 0.87/0.92 tff(3076,plain,
% 0.87/0.92 (~m_main_v_state2(s33, c_t2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3075, 77, 3072])).
% 0.87/0.92 tff(3077,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3078,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3079,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 0.87/0.92 tff(3080,plain,
% 0.87/0.92 (~node15(s33)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3079, 103, 3076])).
% 0.87/0.92 tff(3081,plain,
% 0.87/0.92 (succ(s33, s34) <=> succ(s33, s34)),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3082,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 0.87/0.92 tff(3083,plain,
% 0.87/0.92 (succ(s33, s34)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 0.87/0.92 tff(3084,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3085,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3086,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 0.87/0.92 tff(3087,plain,
% 0.87/0.92 (trans(s33, s34)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3086, 3083, 32])).
% 0.87/0.92 tff(3088,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3089,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3090,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 0.87/0.92 tff(3091,plain,
% 0.87/0.92 (node18(s33, s34)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3090, 125, 3087])).
% 0.87/0.92 tff(3092,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3093,plain,
% 0.87/0.92 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1)) <=> (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3094,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)))),
% 0.87/0.92 inference(monotonicity,[status(thm)],[3093])).
% 0.87/0.92 tff(3095,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 0.87/0.92 inference(transitivity,[status(thm)],[3094, 3092])).
% 0.87/0.92 tff(3096,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3097,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 0.87/0.92 tff(3098,plain,
% 0.87/0.92 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3097, 992, 3091])).
% 0.87/0.92 tff(3099,plain,
% 0.87/0.92 (m_main_v_turn(s34, c_1)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3098, 3080, 3072, 3036])).
% 0.87/0.92 tff(3100,plain,
% 0.87/0.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3101,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3102,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 0.87/0.92 tff(3103,plain,
% 0.87/0.92 (~m_main_v_turn(s34, c_2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3102, 156, 3099])).
% 0.87/0.92 tff(3104,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3105,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3106,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 0.87/0.92 tff(3107,plain,
% 0.87/0.92 (~node12(s34)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3106, 184, 3103])).
% 0.87/0.92 tff(3108,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3109,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3110,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 0.87/0.92 tff(3111,plain,
% 0.87/0.92 (node14(s33, s34)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3110, 46, 3087])).
% 0.87/0.92 tff(3112,plain,
% 0.87/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3113,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3114,plain,
% 0.87/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2)),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 0.87/0.92 tff(3115,plain,
% 0.87/0.92 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3114, 922, 3111])).
% 0.87/0.92 tff(3116,plain,
% 0.87/0.92 (m_main_v_state2(s34, c_t2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3115, 3036, 3072])).
% 0.87/0.92 tff(3117,plain,
% 0.87/0.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3118,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 0.87/0.92 inference(quant_inst,[status(thm)],[])).
% 0.87/0.92 tff(3119,plain,
% 0.87/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2))),
% 0.87/0.92 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 0.87/0.92 tff(3120,plain,
% 0.87/0.92 (~m_main_v_state2(s34, c_n2)),
% 0.87/0.92 inference(unit_resolution,[status(thm)],[3119, 77, 3116])).
% 0.87/0.92 tff(3121,plain,
% 0.87/0.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 0.87/0.92 inference(rewrite,[status(thm)],[])).
% 0.87/0.92 tff(3122,plain,
% 0.87/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3123,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 0.87/0.93 tff(3124,plain,
% 0.87/0.93 (~node8(s34)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3123, 271, 3120])).
% 0.87/0.93 tff(3125,plain,
% 0.87/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3126,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3127,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 0.87/0.93 tff(3128,plain,
% 0.87/0.93 (~node9(s34)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3127, 88, 3120])).
% 0.87/0.93 tff(3129,plain,
% 0.87/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3130,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3131,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 0.87/0.93 tff(3132,plain,
% 0.87/0.93 (~node10(s34)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3131, 249, 3120])).
% 0.87/0.93 tff(3133,plain,
% 0.87/0.93 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3134,plain,
% 0.87/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3135,plain,
% 0.87/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 0.87/0.93 tff(3136,plain,
% 0.87/0.93 (~m_main_v_state2(s34, c_c2)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3135, 260, 3116])).
% 0.87/0.93 tff(3137,plain,
% 0.87/0.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3138,plain,
% 0.87/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3139,plain,
% 0.87/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 0.87/0.93 tff(3140,plain,
% 0.87/0.93 (~m_main_v_state2(s33, c_c2)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3139, 697, 3072])).
% 0.87/0.93 tff(3141,plain,
% 0.87/0.93 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3142,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3143,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 0.87/0.93 tff(3144,plain,
% 0.87/0.93 (~node3(s33)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3143, 399, 3140])).
% 0.87/0.93 tff(3145,plain,
% 0.87/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3146,plain,
% 0.87/0.93 (((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1))) <=> (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3147,plain,
% 0.87/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))))),
% 0.87/0.93 inference(monotonicity,[status(thm)],[3146])).
% 0.87/0.93 tff(3148,plain,
% 0.87/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 0.87/0.93 inference(transitivity,[status(thm)],[3147, 3145])).
% 0.87/0.93 tff(3149,plain,
% 0.87/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3150,plain,
% 0.87/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 0.87/0.93 tff(3151,plain,
% 0.87/0.93 (~m_main_v_state1(s33, c_n1)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3150, 835, 2944, 3029])).
% 0.87/0.93 tff(3152,plain,
% 0.87/0.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3153,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3154,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 0.87/0.93 tff(3155,plain,
% 0.87/0.93 (~node2(s33)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3154, 787, 3151])).
% 0.87/0.93 tff(3156,plain,
% 0.87/0.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3157,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3158,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 0.87/0.93 tff(3159,plain,
% 0.87/0.93 (~node1(s33)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3158, 195, 3076])).
% 0.87/0.93 tff(3160,plain,
% 0.87/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3161,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3162,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 0.87/0.93 tff(3163,plain,
% 0.87/0.93 (node7(s33, s34)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3162, 206, 3087])).
% 0.87/0.93 tff(3164,plain,
% 0.87/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3165,plain,
% 0.87/0.93 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1)) <=> ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3166,plain,
% 0.87/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))))),
% 0.87/0.93 inference(monotonicity,[status(thm)],[3165])).
% 0.87/0.93 tff(3167,plain,
% 0.87/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 0.87/0.93 inference(transitivity,[status(thm)],[3166, 3164])).
% 0.87/0.93 tff(3168,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3169,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 0.87/0.93 tff(3170,plain,
% 0.87/0.93 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3169, 892, 3163])).
% 0.87/0.93 tff(3171,plain,
% 0.87/0.93 (m_main_v_state1(s34, c_c1)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3170, 3159, 3072, 3036, 3155, 3144])).
% 0.87/0.93 tff(3172,plain,
% 0.87/0.93 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3173,plain,
% 0.87/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3174,plain,
% 0.87/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 0.87/0.93 tff(3175,plain,
% 0.87/0.93 (~m_main_v_state1(s34, c_n1)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3174, 454, 3171])).
% 0.87/0.93 tff(3176,plain,
% 0.87/0.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3177,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3178,plain,
% 0.87/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 0.87/0.93 tff(3179,plain,
% 0.87/0.93 (~node11(s34)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3178, 238, 3175])).
% 0.87/0.93 tff(3180,plain,
% 0.87/0.93 (succ(s34, s35) <=> succ(s34, s35)),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3181,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 0.87/0.93 tff(3182,plain,
% 0.87/0.93 (succ(s34, s35)),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 0.87/0.93 tff(3183,plain,
% 0.87/0.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3184,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3185,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 0.87/0.93 tff(3186,plain,
% 0.87/0.93 (trans(s34, s35)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3185, 3182, 32])).
% 0.87/0.93 tff(3187,plain,
% 0.87/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3188,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 0.87/0.93 inference(quant_inst,[status(thm)],[])).
% 0.87/0.93 tff(3189,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 0.87/0.93 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 0.87/0.93 tff(3190,plain,
% 0.87/0.93 (node14(s34, s35)),
% 0.87/0.93 inference(unit_resolution,[status(thm)],[3189, 46, 3186])).
% 0.87/0.93 tff(3191,plain,
% 0.87/0.93 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 0.87/0.93 inference(rewrite,[status(thm)],[])).
% 0.87/0.93 tff(3192,plain,
% 0.87/0.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3193,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 0.91/0.93 tff(3194,plain,
% 0.91/0.93 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3193, 296, 3190])).
% 0.91/0.93 tff(3195,plain,
% 0.91/0.93 (node13(s34, s35)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3194, 3179, 3136, 3132, 3128, 3124, 3107])).
% 0.91/0.93 tff(3196,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3197,plain,
% 0.91/0.93 (((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2))) <=> (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3198,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))))),
% 0.91/0.93 inference(monotonicity,[status(thm)],[3197])).
% 0.91/0.93 tff(3199,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 0.91/0.93 inference(transitivity,[status(thm)],[3198, 3196])).
% 0.91/0.93 tff(3200,plain,
% 0.91/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3201,plain,
% 0.91/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 0.91/0.93 tff(3202,plain,
% 0.91/0.93 (~m_main_v_state2(s35, c_n2)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3201, 311, 3120, 3195])).
% 0.91/0.93 tff(3203,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3204,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3205,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 0.91/0.93 tff(3206,plain,
% 0.91/0.93 (~node9(s35)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3205, 88, 3202])).
% 0.91/0.93 tff(3207,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3208,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3209,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 0.91/0.93 tff(3210,plain,
% 0.91/0.93 (~node10(s35)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3209, 249, 3202])).
% 0.91/0.93 tff(3211,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3212,plain,
% 0.91/0.93 (((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2)) <=> ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3213,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))))),
% 0.91/0.93 inference(monotonicity,[status(thm)],[3212])).
% 0.91/0.93 tff(3214,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 0.91/0.93 inference(transitivity,[status(thm)],[3213, 3211])).
% 0.91/0.93 tff(3215,plain,
% 0.91/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3216,plain,
% 0.91/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 0.91/0.93 tff(3217,plain,
% 0.91/0.93 (m_main_v_state2(s35, c_t2)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3216, 518, 3116, 3195])).
% 0.91/0.93 tff(3218,plain,
% 0.91/0.93 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3219,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3220,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 0.91/0.93 tff(3221,plain,
% 0.91/0.93 (~m_main_v_state1(s34, c_t1)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3220, 539, 3171])).
% 0.91/0.93 tff(3222,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3223,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3224,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 0.91/0.93 tff(3225,plain,
% 0.91/0.93 (~node5(s34)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3224, 550, 3221])).
% 0.91/0.93 tff(3226,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3227,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3228,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 0.91/0.93 tff(3229,plain,
% 0.91/0.93 (~node4(s34)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3228, 388, 3120])).
% 0.91/0.93 tff(3230,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3231,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3232,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 0.91/0.93 tff(3233,plain,
% 0.91/0.93 (~node3(s34)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3232, 399, 3136])).
% 0.91/0.93 tff(3234,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3235,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3236,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 0.91/0.93 tff(3237,plain,
% 0.91/0.93 (~node2(s34)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3236, 410, 3120])).
% 0.91/0.93 tff(3238,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3239,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3240,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 0.91/0.93 tff(3241,plain,
% 0.91/0.93 (~node1(s34)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3240, 421, 3175])).
% 0.91/0.93 tff(3242,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(3243,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(3244,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 0.91/0.93 tff(3245,plain,
% 0.91/0.93 (node7(s34, s35)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[3244, 206, 3186])).
% 0.91/0.93 tff(3246,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3247,plain,
% 0.91/0.94 (((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1)) <=> (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3248,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))))),
% 0.91/0.94 inference(monotonicity,[status(thm)],[3247])).
% 0.91/0.94 tff(3249,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 0.91/0.94 inference(transitivity,[status(thm)],[3248, 3246])).
% 0.91/0.94 tff(3250,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3251,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 0.91/0.94 tff(3252,plain,
% 0.91/0.94 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3251, 584, 3245])).
% 0.91/0.94 tff(3253,plain,
% 0.91/0.94 (m_main_v_state1(s35, c_n1)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3252, 3241, 3171, 3237, 3233, 3229, 3225])).
% 0.91/0.94 tff(3254,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3255,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3256,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 0.91/0.94 tff(3257,plain,
% 0.91/0.94 (~node8(s35)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3256, 271, 3202])).
% 0.91/0.94 tff(3258,plain,
% 0.91/0.94 (succ(s35, s36) <=> succ(s35, s36)),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3259,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 0.91/0.94 tff(3260,plain,
% 0.91/0.94 (succ(s35, s36)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 0.91/0.94 tff(3261,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3262,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3263,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 0.91/0.94 tff(3264,plain,
% 0.91/0.94 (trans(s35, s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3263, 3260, 32])).
% 0.91/0.94 tff(3265,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3266,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3267,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 0.91/0.94 tff(3268,plain,
% 0.91/0.94 (node14(s35, s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3267, 46, 3264])).
% 0.91/0.94 tff(3269,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3270,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3271,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 0.91/0.94 tff(3272,plain,
% 0.91/0.94 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | m_main_v_state2(s36, c_c2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3271, 617, 3268])).
% 0.91/0.94 tff(3273,plain,
% 0.91/0.94 (m_main_v_state2(s36, c_c2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3272, 3257, 3253, 3217, 3210, 3206])).
% 0.91/0.94 tff(3274,plain,
% 0.91/0.94 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3275,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3276,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3275, 3274])).
% 0.91/0.94 tff(3277,plain,
% 0.91/0.94 (~m_main_v_state2(s36, c_t2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3276, 260, 3273])).
% 0.91/0.94 tff(3278,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3279,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3280,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 0.91/0.94 tff(3281,plain,
% 0.91/0.94 (~node12(s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3280, 633, 3277])).
% 0.91/0.94 tff(3282,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3283,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3284,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 0.91/0.94 tff(3285,plain,
% 0.91/0.94 (node7(s35, s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3284, 206, 3264])).
% 0.91/0.94 tff(3286,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3287,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3288,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 0.91/0.94 tff(3289,plain,
% 0.91/0.94 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3288, 651, 3285])).
% 0.91/0.94 tff(3290,plain,
% 0.91/0.94 (m_main_v_state1(s36, c_t1)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3289, 3217, 3253])).
% 0.91/0.94 tff(3291,plain,
% 0.91/0.94 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3292,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3293,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 0.91/0.94 tff(3294,plain,
% 0.91/0.94 (~m_main_v_state1(s36, c_n1)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3293, 10, 3290])).
% 0.91/0.94 tff(3295,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3296,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3297,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 0.91/0.94 tff(3298,plain,
% 0.91/0.94 (~node11(s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3297, 238, 3294])).
% 0.91/0.94 tff(3299,plain,
% 0.91/0.94 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3300,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3301,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 0.91/0.94 tff(3302,plain,
% 0.91/0.94 (~m_main_v_state1(s36, c_c1)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3301, 539, 3290])).
% 0.91/0.94 tff(3303,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3304,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3305,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 0.91/0.94 tff(3306,plain,
% 0.91/0.94 (~node10(s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3305, 675, 3302])).
% 0.91/0.94 tff(3307,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3308,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3309,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 0.91/0.94 tff(3310,plain,
% 0.91/0.94 (~node9(s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3309, 686, 3294])).
% 0.91/0.94 tff(3311,plain,
% 0.91/0.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3312,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3313,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 0.91/0.94 tff(3314,plain,
% 0.91/0.94 (~m_main_v_state2(s36, c_n2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3313, 697, 3273])).
% 0.91/0.94 tff(3315,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3316,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3317,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 0.91/0.94 tff(3318,plain,
% 0.91/0.94 (~node8(s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3317, 271, 3314])).
% 0.91/0.94 tff(3319,plain,
% 0.91/0.94 (succ(s36, s37) <=> succ(s36, s37)),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3320,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 0.91/0.94 tff(3321,plain,
% 0.91/0.94 (succ(s36, s37)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 0.91/0.94 tff(3322,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3323,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3324,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 0.91/0.94 tff(3325,plain,
% 0.91/0.94 (trans(s36, s37)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3324, 3321, 32])).
% 0.91/0.94 tff(3326,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3327,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3328,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 0.91/0.94 tff(3329,plain,
% 0.91/0.94 (node14(s36, s37)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3328, 46, 3325])).
% 0.91/0.94 tff(3330,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3331,plain,
% 0.91/0.94 (((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2)) <=> (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3332,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))))),
% 0.91/0.94 inference(monotonicity,[status(thm)],[3331])).
% 0.91/0.94 tff(3333,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 0.91/0.94 inference(transitivity,[status(thm)],[3332, 3330])).
% 0.91/0.94 tff(3334,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3335,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3334, 3333])).
% 0.91/0.94 tff(3336,plain,
% 0.91/0.94 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3335, 726, 3329])).
% 0.91/0.94 tff(3337,plain,
% 0.91/0.94 (m_main_v_state2(s37, c_n2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3336, 3318, 3273, 3310, 3306, 3298, 3281])).
% 0.91/0.94 tff(3338,plain,
% 0.91/0.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3339,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3340,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3339, 3338])).
% 0.91/0.94 tff(3341,plain,
% 0.91/0.94 (~m_main_v_state2(s37, c_c2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3340, 697, 3337])).
% 0.91/0.94 tff(3342,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3343,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3344,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 0.91/0.94 tff(3345,plain,
% 0.91/0.94 (~node3(s37)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3344, 399, 3341])).
% 0.91/0.94 tff(3346,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3347,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3348,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 0.91/0.94 tff(3349,plain,
% 0.91/0.94 (~node1(s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3348, 421, 3294])).
% 0.91/0.94 tff(3350,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3351,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3352,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 0.91/0.94 tff(3353,plain,
% 0.91/0.94 (node18(s35, s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3352, 125, 3264])).
% 0.91/0.94 tff(3354,plain,
% 0.91/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3355,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3356,plain,
% 0.91/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2)),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 0.91/0.94 tff(3357,plain,
% 0.91/0.94 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3356, 760, 3353])).
% 0.91/0.94 tff(3358,plain,
% 0.91/0.94 (m_main_v_turn(s36, c_2)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3357, 3217, 3253])).
% 0.91/0.94 tff(3359,plain,
% 0.91/0.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3360,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3361,plain,
% 0.91/0.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 0.91/0.94 tff(3362,plain,
% 0.91/0.94 (~m_main_v_turn(s36, c_1)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3361, 156, 3358])).
% 0.91/0.94 tff(3363,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3364,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3365,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 0.91/0.94 tff(3366,plain,
% 0.91/0.94 (~node5(s36)),
% 0.91/0.94 inference(unit_resolution,[status(thm)],[3365, 776, 3362])).
% 0.91/0.94 tff(3367,plain,
% 0.91/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 0.91/0.94 inference(rewrite,[status(thm)],[])).
% 0.91/0.94 tff(3368,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 0.91/0.94 inference(quant_inst,[status(thm)],[])).
% 0.91/0.94 tff(3369,plain,
% 0.91/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 0.91/0.94 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 0.91/0.95 tff(3370,plain,
% 0.91/0.95 (~node2(s36)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3369, 787, 3294])).
% 0.91/0.95 tff(3371,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3372,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3373,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 0.91/0.95 tff(3374,plain,
% 0.91/0.95 (~node3(s36)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3373, 798, 3294])).
% 0.91/0.95 tff(3375,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3376,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3377,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 0.91/0.95 tff(3378,plain,
% 0.91/0.95 (~node4(s36)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3377, 388, 3314])).
% 0.91/0.95 tff(3379,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3380,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3381,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3380, 3379])).
% 0.91/0.95 tff(3382,plain,
% 0.91/0.95 (node7(s36, s37)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3381, 206, 3325])).
% 0.91/0.95 tff(3383,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3384,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3385,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3384, 3383])).
% 0.91/0.95 tff(3386,plain,
% 0.91/0.95 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3385, 820, 3382])).
% 0.91/0.95 tff(3387,plain,
% 0.91/0.95 (node6(s36, s37)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3386, 3378, 3302, 3374, 3370, 3366, 3349])).
% 0.91/0.95 tff(3388,plain,
% 0.91/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3389,plain,
% 0.91/0.95 (((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1))) <=> (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3390,plain,
% 0.91/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))))),
% 0.91/0.95 inference(monotonicity,[status(thm)],[3389])).
% 0.91/0.95 tff(3391,plain,
% 0.91/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 0.91/0.95 inference(transitivity,[status(thm)],[3390, 3388])).
% 0.91/0.95 tff(3392,plain,
% 0.91/0.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3393,plain,
% 0.91/0.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 0.91/0.95 tff(3394,plain,
% 0.91/0.95 (~m_main_v_state1(s37, c_n1)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3393, 835, 3294, 3387])).
% 0.91/0.95 tff(3395,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3396,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3397,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 0.91/0.95 tff(3398,plain,
% 0.91/0.95 (~node2(s37)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3397, 787, 3394])).
% 0.91/0.95 tff(3399,plain,
% 0.91/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3400,plain,
% 0.91/0.95 (((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1)) <=> ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3401,plain,
% 0.91/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))))),
% 0.91/0.95 inference(monotonicity,[status(thm)],[3400])).
% 0.91/0.95 tff(3402,plain,
% 0.91/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 0.91/0.95 inference(transitivity,[status(thm)],[3401, 3399])).
% 0.91/0.95 tff(3403,plain,
% 0.91/0.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3404,plain,
% 0.91/0.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 0.91/0.95 tff(3405,plain,
% 0.91/0.95 (m_main_v_state1(s37, c_t1)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3404, 856, 3290, 3387])).
% 0.91/0.95 tff(3406,plain,
% 0.91/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3407,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3408,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3407, 3406])).
% 0.91/0.95 tff(3409,plain,
% 0.91/0.95 (~m_main_v_state2(s37, c_t2)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3408, 77, 3337])).
% 0.91/0.95 tff(3410,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3411,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3412,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 0.91/0.95 tff(3413,plain,
% 0.91/0.95 (~node1(s37)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3412, 195, 3409])).
% 0.91/0.95 tff(3414,plain,
% 0.91/0.95 (succ(s37, s38) <=> succ(s37, s38)),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3415,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 0.91/0.95 tff(3416,plain,
% 0.91/0.95 (succ(s37, s38)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 0.91/0.95 tff(3417,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3418,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3419,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 0.91/0.95 tff(3420,plain,
% 0.91/0.95 (trans(s37, s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3419, 3416, 32])).
% 0.91/0.95 tff(3421,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3422,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3423,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 0.91/0.95 tff(3424,plain,
% 0.91/0.95 (node7(s37, s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3423, 206, 3420])).
% 0.91/0.95 tff(3425,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3426,plain,
% 0.91/0.95 (((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1)) <=> ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3427,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38))))),
% 0.91/0.95 inference(monotonicity,[status(thm)],[3426])).
% 0.91/0.95 tff(3428,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 0.91/0.95 inference(transitivity,[status(thm)],[3427, 3425])).
% 0.91/0.95 tff(3429,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3430,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 0.91/0.95 tff(3431,plain,
% 0.91/0.95 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3430, 892, 3424])).
% 0.91/0.95 tff(3432,plain,
% 0.91/0.95 (m_main_v_state1(s38, c_c1)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3431, 3413, 3337, 3405, 3398, 3345])).
% 0.91/0.95 tff(3433,plain,
% 0.91/0.95 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3434,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3435,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 0.91/0.95 tff(3436,plain,
% 0.91/0.95 (~m_main_v_state1(s38, c_t1)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3435, 539, 3432])).
% 0.91/0.95 tff(3437,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3438,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3439,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 0.91/0.95 tff(3440,plain,
% 0.91/0.95 (~node5(s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3439, 550, 3436])).
% 0.91/0.95 tff(3441,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3442,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3443,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3442, 3441])).
% 0.91/0.95 tff(3444,plain,
% 0.91/0.95 (node14(s37, s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3443, 46, 3420])).
% 0.91/0.95 tff(3445,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3446,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3447,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 0.91/0.95 tff(3448,plain,
% 0.91/0.95 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3447, 922, 3444])).
% 0.91/0.95 tff(3449,plain,
% 0.91/0.95 (m_main_v_state2(s38, c_t2)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3448, 3405, 3337])).
% 0.91/0.95 tff(3450,plain,
% 0.91/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3451,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3452,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 0.91/0.95 tff(3453,plain,
% 0.91/0.95 (~m_main_v_state2(s38, c_n2)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3452, 77, 3449])).
% 0.91/0.95 tff(3454,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3455,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3456,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 0.91/0.95 tff(3457,plain,
% 0.91/0.95 (~node4(s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3456, 388, 3453])).
% 0.91/0.95 tff(3458,plain,
% 0.91/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3459,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3460,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 0.91/0.95 tff(3461,plain,
% 0.91/0.95 (~m_main_v_state2(s38, c_c2)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3460, 260, 3449])).
% 0.91/0.95 tff(3462,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3463,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3464,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 0.91/0.95 tff(3465,plain,
% 0.91/0.95 (~node3(s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3464, 399, 3461])).
% 0.91/0.95 tff(3466,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3467,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3468,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 0.91/0.95 tff(3469,plain,
% 0.91/0.95 (~node2(s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3468, 410, 3453])).
% 0.91/0.95 tff(3470,plain,
% 0.91/0.95 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3471,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3472,plain,
% 0.91/0.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 0.91/0.95 tff(3473,plain,
% 0.91/0.95 (~m_main_v_state1(s38, c_n1)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3472, 454, 3432])).
% 0.91/0.95 tff(3474,plain,
% 0.91/0.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3475,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3476,plain,
% 0.91/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 0.91/0.95 tff(3477,plain,
% 0.91/0.95 (~node1(s38)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3476, 421, 3473])).
% 0.91/0.95 tff(3478,plain,
% 0.91/0.95 (succ(s38, s39) <=> succ(s38, s39)),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3479,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 0.91/0.95 tff(3480,plain,
% 0.91/0.95 (succ(s38, s39)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 0.91/0.95 tff(3481,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3482,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3483,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 0.91/0.95 tff(3484,plain,
% 0.91/0.95 (trans(s38, s39)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3483, 3480, 32])).
% 0.91/0.95 tff(3485,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3486,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 0.91/0.95 inference(quant_inst,[status(thm)],[])).
% 0.91/0.95 tff(3487,plain,
% 0.91/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 0.91/0.95 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 0.91/0.95 tff(3488,plain,
% 0.91/0.95 (node7(s38, s39)),
% 0.91/0.95 inference(unit_resolution,[status(thm)],[3487, 206, 3484])).
% 0.91/0.95 tff(3489,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3490,plain,
% 0.91/0.95 (((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1)) <=> (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 0.91/0.95 inference(rewrite,[status(thm)],[])).
% 0.91/0.95 tff(3491,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))))),
% 0.91/0.95 inference(monotonicity,[status(thm)],[3490])).
% 0.91/0.95 tff(3492,plain,
% 0.91/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 0.91/0.96 inference(transitivity,[status(thm)],[3491, 3489])).
% 0.91/0.96 tff(3493,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3494,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 0.91/0.96 tff(3495,plain,
% 0.91/0.96 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3494, 584, 3488])).
% 0.91/0.96 tff(3496,plain,
% 0.91/0.96 (m_main_v_state1(s39, c_n1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3495, 3477, 3432, 3469, 3465, 3457, 3440])).
% 0.91/0.96 tff(3497,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3498,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3499,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 0.91/0.96 tff(3500,plain,
% 0.91/0.96 (~node15(s37)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3499, 103, 3409])).
% 0.91/0.96 tff(3501,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3502,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3503,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 0.91/0.96 tff(3504,plain,
% 0.91/0.96 (node18(s37, s38)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3503, 125, 3420])).
% 0.91/0.96 tff(3505,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3506,plain,
% 0.91/0.96 (((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1)) <=> (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3507,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)))),
% 0.91/0.96 inference(monotonicity,[status(thm)],[3506])).
% 0.91/0.96 tff(3508,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 0.91/0.96 inference(transitivity,[status(thm)],[3507, 3505])).
% 0.91/0.96 tff(3509,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3510,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 0.91/0.96 tff(3511,plain,
% 0.91/0.96 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3510, 992, 3504])).
% 0.91/0.96 tff(3512,plain,
% 0.91/0.96 (m_main_v_turn(s38, c_1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3511, 3500, 3337, 3405])).
% 0.91/0.96 tff(3513,plain,
% 0.91/0.96 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3514,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3515,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 0.91/0.96 tff(3516,plain,
% 0.91/0.96 (~m_main_v_turn(s38, c_2)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3515, 156, 3512])).
% 0.91/0.96 tff(3517,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3518,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3519,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 0.91/0.96 tff(3520,plain,
% 0.91/0.96 (~node12(s38)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3519, 184, 3516])).
% 0.91/0.96 tff(3521,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3522,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3523,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 0.91/0.96 tff(3524,plain,
% 0.91/0.96 (~node8(s38)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3523, 271, 3453])).
% 0.91/0.96 tff(3525,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3526,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3527,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 0.91/0.96 tff(3528,plain,
% 0.91/0.96 (~node9(s38)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3527, 88, 3453])).
% 0.91/0.96 tff(3529,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3530,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3531,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 0.91/0.96 tff(3532,plain,
% 0.91/0.96 (~node10(s38)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3531, 249, 3453])).
% 0.91/0.96 tff(3533,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3534,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3535,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 0.91/0.96 tff(3536,plain,
% 0.91/0.96 (~node11(s38)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3535, 238, 3473])).
% 0.91/0.96 tff(3537,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3538,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3539,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 0.91/0.96 tff(3540,plain,
% 0.91/0.96 (node14(s38, s39)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3539, 46, 3484])).
% 0.91/0.96 tff(3541,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3542,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3543,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 0.91/0.96 tff(3544,plain,
% 0.91/0.96 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3543, 296, 3540])).
% 0.91/0.96 tff(3545,plain,
% 0.91/0.96 (node13(s38, s39)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3544, 3536, 3461, 3532, 3528, 3524, 3520])).
% 0.91/0.96 tff(3546,plain,
% 0.91/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3547,plain,
% 0.91/0.96 (((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2)) <=> ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3548,plain,
% 0.91/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))))),
% 0.91/0.96 inference(monotonicity,[status(thm)],[3547])).
% 0.91/0.96 tff(3549,plain,
% 0.91/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 0.91/0.96 inference(transitivity,[status(thm)],[3548, 3546])).
% 0.91/0.96 tff(3550,plain,
% 0.91/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3551,plain,
% 0.91/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 0.91/0.96 tff(3552,plain,
% 0.91/0.96 (m_main_v_state2(s39, c_t2)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3551, 518, 3449, 3545])).
% 0.91/0.96 tff(3553,plain,
% 0.91/0.96 (succ(s39, s40) <=> succ(s39, s40)),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3554,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 0.91/0.96 tff(3555,plain,
% 0.91/0.96 (succ(s39, s40)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 0.91/0.96 tff(3556,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3557,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3558,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 0.91/0.96 tff(3559,plain,
% 0.91/0.96 (trans(s39, s40)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3558, 3555, 32])).
% 0.91/0.96 tff(3560,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3561,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3562,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3561, 3560])).
% 0.91/0.96 tff(3563,plain,
% 0.91/0.96 (node7(s39, s40)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3562, 206, 3559])).
% 0.91/0.96 tff(3564,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3565,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3566,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3565, 3564])).
% 0.91/0.96 tff(3567,plain,
% 0.91/0.96 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3566, 651, 3563])).
% 0.91/0.96 tff(3568,plain,
% 0.91/0.96 (m_main_v_state1(s40, c_t1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3567, 3552, 3496])).
% 0.91/0.96 tff(3569,plain,
% 0.91/0.96 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3570,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3571,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 0.91/0.96 tff(3572,plain,
% 0.91/0.96 (~m_main_v_state1(s40, c_n1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3571, 10, 3568])).
% 0.91/0.96 tff(3573,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3574,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3575,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 0.91/0.96 tff(3576,plain,
% 0.91/0.96 (~node1(s40)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3575, 421, 3572])).
% 0.91/0.96 tff(3577,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3578,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3579,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 0.91/0.96 tff(3580,plain,
% 0.91/0.96 (node18(s39, s40)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3579, 125, 3559])).
% 0.91/0.96 tff(3581,plain,
% 0.91/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3582,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3583,plain,
% 0.91/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2)),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 0.91/0.96 tff(3584,plain,
% 0.91/0.96 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3583, 760, 3580])).
% 0.91/0.96 tff(3585,plain,
% 0.91/0.96 (m_main_v_turn(s40, c_2)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3584, 3552, 3496])).
% 0.91/0.96 tff(3586,plain,
% 0.91/0.96 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3587,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3588,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3587, 3586])).
% 0.91/0.96 tff(3589,plain,
% 0.91/0.96 (~m_main_v_turn(s40, c_1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3588, 156, 3585])).
% 0.91/0.96 tff(3590,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3591,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3592,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 0.91/0.96 tff(3593,plain,
% 0.91/0.96 (~node5(s40)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3592, 776, 3589])).
% 0.91/0.96 tff(3594,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3595,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3596,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 0.91/0.96 tff(3597,plain,
% 0.91/0.96 (~node2(s40)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3596, 787, 3572])).
% 0.91/0.96 tff(3598,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3599,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3600,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3599, 3598])).
% 0.91/0.96 tff(3601,plain,
% 0.91/0.96 (~node3(s40)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3600, 798, 3572])).
% 0.91/0.96 tff(3602,plain,
% 0.91/0.96 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3603,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3604,plain,
% 0.91/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 0.91/0.96 tff(3605,plain,
% 0.91/0.96 (~m_main_v_state1(s40, c_c1)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3604, 539, 3568])).
% 0.91/0.96 tff(3606,plain,
% 0.91/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3607,plain,
% 0.91/0.96 (((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2))) <=> (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3608,plain,
% 0.91/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))))),
% 0.91/0.96 inference(monotonicity,[status(thm)],[3607])).
% 0.91/0.96 tff(3609,plain,
% 0.91/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 0.91/0.96 inference(transitivity,[status(thm)],[3608, 3606])).
% 0.91/0.96 tff(3610,plain,
% 0.91/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))),
% 0.91/0.96 inference(quant_inst,[status(thm)],[])).
% 0.91/0.96 tff(3611,plain,
% 0.91/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))),
% 0.91/0.96 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 0.91/0.96 tff(3612,plain,
% 0.91/0.96 (~m_main_v_state2(s39, c_n2)),
% 0.91/0.96 inference(unit_resolution,[status(thm)],[3611, 311, 3453, 3545])).
% 0.91/0.96 tff(3613,plain,
% 0.91/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 0.91/0.96 inference(rewrite,[status(thm)],[])).
% 0.91/0.96 tff(3614,plain,
% 0.91/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3615,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 0.91/0.97 tff(3616,plain,
% 0.91/0.97 (~node9(s39)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3615, 88, 3612])).
% 0.91/0.97 tff(3617,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3618,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3619,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 0.91/0.97 tff(3620,plain,
% 0.91/0.97 (~node10(s39)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3619, 249, 3612])).
% 0.91/0.97 tff(3621,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3622,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3623,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 0.91/0.97 tff(3624,plain,
% 0.91/0.97 (~node8(s39)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3623, 271, 3612])).
% 0.91/0.97 tff(3625,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3626,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3627,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 0.91/0.97 tff(3628,plain,
% 0.91/0.97 (node14(s39, s40)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3627, 46, 3559])).
% 0.91/0.97 tff(3629,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3630,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3631,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 0.91/0.97 tff(3632,plain,
% 0.91/0.97 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | m_main_v_state2(s40, c_c2)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3631, 617, 3628])).
% 0.91/0.97 tff(3633,plain,
% 0.91/0.97 (m_main_v_state2(s40, c_c2)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3632, 3624, 3496, 3552, 3620, 3616])).
% 0.91/0.97 tff(3634,plain,
% 0.91/0.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3635,plain,
% 0.91/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3636,plain,
% 0.91/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 0.91/0.97 tff(3637,plain,
% 0.91/0.97 (~m_main_v_state2(s40, c_n2)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3636, 697, 3633])).
% 0.91/0.97 tff(3638,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3639,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3640,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 0.91/0.97 tff(3641,plain,
% 0.91/0.97 (~node4(s40)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3640, 388, 3637])).
% 0.91/0.97 tff(3642,plain,
% 0.91/0.97 (succ(s40, s41) <=> succ(s40, s41)),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3643,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 0.91/0.97 tff(3644,plain,
% 0.91/0.97 (succ(s40, s41)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 0.91/0.97 tff(3645,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3646,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3647,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 0.91/0.97 tff(3648,plain,
% 0.91/0.97 (trans(s40, s41)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3647, 3644, 32])).
% 0.91/0.97 tff(3649,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3650,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3651,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 0.91/0.97 tff(3652,plain,
% 0.91/0.97 (node7(s40, s41)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3651, 206, 3648])).
% 0.91/0.97 tff(3653,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3654,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3655,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 0.91/0.97 tff(3656,plain,
% 0.91/0.97 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3655, 820, 3652])).
% 0.91/0.97 tff(3657,plain,
% 0.91/0.97 (node6(s40, s41)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3656, 3641, 3605, 3601, 3597, 3593, 3576])).
% 0.91/0.97 tff(3658,plain,
% 0.91/0.97 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3659,plain,
% 0.91/0.97 (((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1)) <=> ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3660,plain,
% 0.91/0.97 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))))),
% 0.91/0.97 inference(monotonicity,[status(thm)],[3659])).
% 0.91/0.97 tff(3661,plain,
% 0.91/0.97 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 0.91/0.97 inference(transitivity,[status(thm)],[3660, 3658])).
% 0.91/0.97 tff(3662,plain,
% 0.91/0.97 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3663,plain,
% 0.91/0.97 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 0.91/0.97 tff(3664,plain,
% 0.91/0.97 (m_main_v_state1(s41, c_t1)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3663, 856, 3568, 3657])).
% 0.91/0.97 tff(3665,plain,
% 0.91/0.97 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3666,plain,
% 0.91/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3667,plain,
% 0.91/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3666, 3665])).
% 0.91/0.97 tff(3668,plain,
% 0.91/0.97 (~m_main_v_state2(s40, c_t2)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3667, 260, 3633])).
% 0.91/0.97 tff(3669,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3670,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3671,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 0.91/0.97 tff(3672,plain,
% 0.91/0.97 (~node12(s40)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3671, 633, 3668])).
% 0.91/0.97 tff(3673,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3674,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3675,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 0.91/0.97 tff(3676,plain,
% 0.91/0.97 (~node11(s40)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3675, 238, 3572])).
% 0.91/0.97 tff(3677,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3678,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3679,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 0.91/0.97 tff(3680,plain,
% 0.91/0.97 (~node10(s40)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3679, 675, 3605])).
% 0.91/0.97 tff(3681,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3682,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3683,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 0.91/0.97 tff(3684,plain,
% 0.91/0.97 (~node9(s40)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3683, 686, 3572])).
% 0.91/0.97 tff(3685,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3686,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3687,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 0.91/0.97 tff(3688,plain,
% 0.91/0.97 (~node8(s40)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3687, 271, 3637])).
% 0.91/0.97 tff(3689,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3690,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3691,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 0.91/0.97 tff(3692,plain,
% 0.91/0.97 (node14(s40, s41)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3691, 46, 3648])).
% 0.91/0.97 tff(3693,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3694,plain,
% 0.91/0.97 (((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2)) <=> (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3695,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))))),
% 0.91/0.97 inference(monotonicity,[status(thm)],[3694])).
% 0.91/0.97 tff(3696,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 0.91/0.97 inference(transitivity,[status(thm)],[3695, 3693])).
% 0.91/0.97 tff(3697,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3698,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 0.91/0.97 tff(3699,plain,
% 0.91/0.97 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3698, 726, 3692])).
% 0.91/0.97 tff(3700,plain,
% 0.91/0.97 (m_main_v_state2(s41, c_n2)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3699, 3688, 3633, 3684, 3680, 3676, 3672])).
% 0.91/0.97 tff(3701,plain,
% 0.91/0.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3702,plain,
% 0.91/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3703,plain,
% 0.91/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 0.91/0.97 tff(3704,plain,
% 0.91/0.97 (~m_main_v_state2(s41, c_t2)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3703, 77, 3700])).
% 0.91/0.97 tff(3705,plain,
% 0.91/0.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3706,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3707,plain,
% 0.91/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 0.91/0.97 tff(3708,plain,
% 0.91/0.97 (~node15(s41)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3707, 103, 3704])).
% 0.91/0.97 tff(3709,plain,
% 0.91/0.97 (succ(s41, s42) <=> succ(s41, s42)),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3710,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 0.91/0.97 tff(3711,plain,
% 0.91/0.97 (succ(s41, s42)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 0.91/0.97 tff(3712,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3713,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3714,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 0.91/0.97 tff(3715,plain,
% 0.91/0.97 (trans(s41, s42)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3714, 3711, 32])).
% 0.91/0.97 tff(3716,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3717,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3718,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 0.91/0.97 tff(3719,plain,
% 0.91/0.97 (node18(s41, s42)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3718, 125, 3715])).
% 0.91/0.97 tff(3720,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3721,plain,
% 0.91/0.97 (((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1)) <=> (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 0.91/0.97 inference(rewrite,[status(thm)],[])).
% 0.91/0.97 tff(3722,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)))),
% 0.91/0.97 inference(monotonicity,[status(thm)],[3721])).
% 0.91/0.97 tff(3723,plain,
% 0.91/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 0.91/0.97 inference(transitivity,[status(thm)],[3722, 3720])).
% 0.91/0.97 tff(3724,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))),
% 0.91/0.97 inference(quant_inst,[status(thm)],[])).
% 0.91/0.97 tff(3725,plain,
% 0.91/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 0.91/0.97 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 0.91/0.97 tff(3726,plain,
% 0.91/0.97 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 0.91/0.97 inference(unit_resolution,[status(thm)],[3725, 992, 3719])).
% 0.91/0.97 tff(3727,plain,
% 0.91/0.97 (m_main_v_turn(s42, c_1)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3726, 3708, 3700, 3664])).
% 0.91/0.98 tff(3728,plain,
% 0.91/0.98 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3729,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3730,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 0.91/0.98 tff(3731,plain,
% 0.91/0.98 (~m_main_v_turn(s42, c_2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3730, 156, 3727])).
% 0.91/0.98 tff(3732,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3733,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3734,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 0.91/0.98 tff(3735,plain,
% 0.91/0.98 (~node12(s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3734, 184, 3731])).
% 0.91/0.98 tff(3736,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3737,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3738,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 0.91/0.98 tff(3739,plain,
% 0.91/0.98 (node14(s41, s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3738, 46, 3715])).
% 0.91/0.98 tff(3740,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3741,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3742,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2)),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 0.91/0.98 tff(3743,plain,
% 0.91/0.98 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3742, 922, 3739])).
% 0.91/0.98 tff(3744,plain,
% 0.91/0.98 (m_main_v_state2(s42, c_t2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3743, 3664, 3700])).
% 0.91/0.98 tff(3745,plain,
% 0.91/0.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3746,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3747,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 0.91/0.98 tff(3748,plain,
% 0.91/0.98 (~m_main_v_state2(s42, c_n2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3747, 77, 3744])).
% 0.91/0.98 tff(3749,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3750,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3751,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 0.91/0.98 tff(3752,plain,
% 0.91/0.98 (~node8(s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3751, 271, 3748])).
% 0.91/0.98 tff(3753,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3754,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3755,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 0.91/0.98 tff(3756,plain,
% 0.91/0.98 (~node9(s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3755, 88, 3748])).
% 0.91/0.98 tff(3757,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3758,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3759,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 0.91/0.98 tff(3760,plain,
% 0.91/0.98 (~node10(s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3759, 249, 3748])).
% 0.91/0.98 tff(3761,plain,
% 0.91/0.98 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3762,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3763,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 0.91/0.98 tff(3764,plain,
% 0.91/0.98 (~m_main_v_state2(s42, c_c2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3763, 260, 3744])).
% 0.91/0.98 tff(3765,plain,
% 0.91/0.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3766,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3767,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 0.91/0.98 tff(3768,plain,
% 0.91/0.98 (~m_main_v_state2(s41, c_c2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3767, 697, 3700])).
% 0.91/0.98 tff(3769,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3770,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3771,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 0.91/0.98 tff(3772,plain,
% 0.91/0.98 (~node3(s41)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3771, 399, 3768])).
% 0.91/0.98 tff(3773,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3774,plain,
% 0.91/0.98 (((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1))) <=> (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3775,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))))),
% 0.91/0.98 inference(monotonicity,[status(thm)],[3774])).
% 0.91/0.98 tff(3776,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 0.91/0.98 inference(transitivity,[status(thm)],[3775, 3773])).
% 0.91/0.98 tff(3777,plain,
% 0.91/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3778,plain,
% 0.91/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 0.91/0.98 tff(3779,plain,
% 0.91/0.98 (~m_main_v_state1(s41, c_n1)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3778, 835, 3572, 3657])).
% 0.91/0.98 tff(3780,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3781,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3782,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 0.91/0.98 tff(3783,plain,
% 0.91/0.98 (~node2(s41)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3782, 787, 3779])).
% 0.91/0.98 tff(3784,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3785,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3786,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 0.91/0.98 tff(3787,plain,
% 0.91/0.98 (~node1(s41)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3786, 195, 3704])).
% 0.91/0.98 tff(3788,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3789,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3790,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 0.91/0.98 tff(3791,plain,
% 0.91/0.98 (node7(s41, s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3790, 206, 3715])).
% 0.91/0.98 tff(3792,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3793,plain,
% 0.91/0.98 (((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1)) <=> ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3794,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42))))),
% 0.91/0.98 inference(monotonicity,[status(thm)],[3793])).
% 0.91/0.98 tff(3795,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 0.91/0.98 inference(transitivity,[status(thm)],[3794, 3792])).
% 0.91/0.98 tff(3796,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3797,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 0.91/0.98 tff(3798,plain,
% 0.91/0.98 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3797, 892, 3791])).
% 0.91/0.98 tff(3799,plain,
% 0.91/0.98 (m_main_v_state1(s42, c_c1)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3798, 3787, 3700, 3664, 3783, 3772])).
% 0.91/0.98 tff(3800,plain,
% 0.91/0.98 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3801,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3802,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 0.91/0.98 tff(3803,plain,
% 0.91/0.98 (~m_main_v_state1(s42, c_n1)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3802, 454, 3799])).
% 0.91/0.98 tff(3804,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3805,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3806,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 0.91/0.98 tff(3807,plain,
% 0.91/0.98 (~node11(s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3806, 238, 3803])).
% 0.91/0.98 tff(3808,plain,
% 0.91/0.98 (succ(s42, s43) <=> succ(s42, s43)),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3809,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 0.91/0.98 tff(3810,plain,
% 0.91/0.98 (succ(s42, s43)),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 0.91/0.98 tff(3811,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3812,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3813,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 0.91/0.98 tff(3814,plain,
% 0.91/0.98 (trans(s42, s43)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3813, 3810, 32])).
% 0.91/0.98 tff(3815,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3816,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3817,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 0.91/0.98 tff(3818,plain,
% 0.91/0.98 (node14(s42, s43)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3817, 46, 3814])).
% 0.91/0.98 tff(3819,plain,
% 0.91/0.98 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3820,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3821,plain,
% 0.91/0.98 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 0.91/0.98 tff(3822,plain,
% 0.91/0.98 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3821, 296, 3818])).
% 0.91/0.98 tff(3823,plain,
% 0.91/0.98 (node13(s42, s43)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3822, 3807, 3764, 3760, 3756, 3752, 3735])).
% 0.91/0.98 tff(3824,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3825,plain,
% 0.91/0.98 (((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2))) <=> (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3826,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))))),
% 0.91/0.98 inference(monotonicity,[status(thm)],[3825])).
% 0.91/0.98 tff(3827,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 0.91/0.98 inference(transitivity,[status(thm)],[3826, 3824])).
% 0.91/0.98 tff(3828,plain,
% 0.91/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3829,plain,
% 0.91/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 0.91/0.98 tff(3830,plain,
% 0.91/0.98 (~m_main_v_state2(s43, c_n2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3829, 311, 3748, 3823])).
% 0.91/0.98 tff(3831,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3832,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3833,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 0.91/0.98 tff(3834,plain,
% 0.91/0.98 (~node9(s43)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3833, 88, 3830])).
% 0.91/0.98 tff(3835,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3836,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3837,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 0.91/0.98 tff(3838,plain,
% 0.91/0.98 (~node10(s43)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3837, 249, 3830])).
% 0.91/0.98 tff(3839,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3840,plain,
% 0.91/0.98 (((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2)) <=> ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3841,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))))),
% 0.91/0.98 inference(monotonicity,[status(thm)],[3840])).
% 0.91/0.98 tff(3842,plain,
% 0.91/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 0.91/0.98 inference(transitivity,[status(thm)],[3841, 3839])).
% 0.91/0.98 tff(3843,plain,
% 0.91/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3844,plain,
% 0.91/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 0.91/0.98 tff(3845,plain,
% 0.91/0.98 (m_main_v_state2(s43, c_t2)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3844, 518, 3744, 3823])).
% 0.91/0.98 tff(3846,plain,
% 0.91/0.98 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3847,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3848,plain,
% 0.91/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 0.91/0.98 tff(3849,plain,
% 0.91/0.98 (~m_main_v_state1(s42, c_t1)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3848, 539, 3799])).
% 0.91/0.98 tff(3850,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3851,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3852,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 0.91/0.98 tff(3853,plain,
% 0.91/0.98 (~node5(s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3852, 550, 3849])).
% 0.91/0.98 tff(3854,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 0.91/0.98 inference(rewrite,[status(thm)],[])).
% 0.91/0.98 tff(3855,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 0.91/0.98 inference(quant_inst,[status(thm)],[])).
% 0.91/0.98 tff(3856,plain,
% 0.91/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 0.91/0.98 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 0.91/0.98 tff(3857,plain,
% 0.91/0.98 (~node4(s42)),
% 0.91/0.98 inference(unit_resolution,[status(thm)],[3856, 388, 3748])).
% 0.91/0.98 tff(3858,plain,
% 0.91/0.98 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3859,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3860,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 0.91/0.99 tff(3861,plain,
% 0.91/0.99 (~node3(s42)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3860, 399, 3764])).
% 0.91/0.99 tff(3862,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3863,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3864,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 0.91/0.99 tff(3865,plain,
% 0.91/0.99 (~node2(s42)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3864, 410, 3748])).
% 0.91/0.99 tff(3866,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3867,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3868,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 0.91/0.99 tff(3869,plain,
% 0.91/0.99 (~node1(s42)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3868, 421, 3803])).
% 0.91/0.99 tff(3870,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3871,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3872,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 0.91/0.99 tff(3873,plain,
% 0.91/0.99 (node7(s42, s43)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3872, 206, 3814])).
% 0.91/0.99 tff(3874,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3875,plain,
% 0.91/0.99 (((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1)) <=> (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3876,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))))),
% 0.91/0.99 inference(monotonicity,[status(thm)],[3875])).
% 0.91/0.99 tff(3877,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 0.91/0.99 inference(transitivity,[status(thm)],[3876, 3874])).
% 0.91/0.99 tff(3878,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3879,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 0.91/0.99 tff(3880,plain,
% 0.91/0.99 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3879, 584, 3873])).
% 0.91/0.99 tff(3881,plain,
% 0.91/0.99 (m_main_v_state1(s43, c_n1)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3880, 3869, 3799, 3865, 3861, 3857, 3853])).
% 0.91/0.99 tff(3882,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3883,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3884,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 0.91/0.99 tff(3885,plain,
% 0.91/0.99 (~node8(s43)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3884, 271, 3830])).
% 0.91/0.99 tff(3886,plain,
% 0.91/0.99 (succ(s43, s44) <=> succ(s43, s44)),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3887,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 0.91/0.99 tff(3888,plain,
% 0.91/0.99 (succ(s43, s44)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3887, 3886])).
% 0.91/0.99 tff(3889,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3890,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3891,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3890, 3889])).
% 0.91/0.99 tff(3892,plain,
% 0.91/0.99 (trans(s43, s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3891, 3888, 32])).
% 0.91/0.99 tff(3893,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3894,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3895,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 0.91/0.99 tff(3896,plain,
% 0.91/0.99 (node14(s43, s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3895, 46, 3892])).
% 0.91/0.99 tff(3897,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3898,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3899,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 0.91/0.99 tff(3900,plain,
% 0.91/0.99 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | m_main_v_state2(s44, c_c2)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3899, 617, 3896])).
% 0.91/0.99 tff(3901,plain,
% 0.91/0.99 (m_main_v_state2(s44, c_c2)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3900, 3885, 3881, 3845, 3838, 3834])).
% 0.91/0.99 tff(3902,plain,
% 0.91/0.99 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3903,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3904,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 0.91/0.99 tff(3905,plain,
% 0.91/0.99 (~m_main_v_state2(s44, c_t2)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3904, 260, 3901])).
% 0.91/0.99 tff(3906,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3907,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3908,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 0.91/0.99 tff(3909,plain,
% 0.91/0.99 (~node12(s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3908, 633, 3905])).
% 0.91/0.99 tff(3910,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3911,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3912,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 0.91/0.99 tff(3913,plain,
% 0.91/0.99 (node7(s43, s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3912, 206, 3892])).
% 0.91/0.99 tff(3914,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3915,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3916,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 0.91/0.99 tff(3917,plain,
% 0.91/0.99 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3916, 651, 3913])).
% 0.91/0.99 tff(3918,plain,
% 0.91/0.99 (m_main_v_state1(s44, c_t1)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3917, 3845, 3881])).
% 0.91/0.99 tff(3919,plain,
% 0.91/0.99 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3920,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3921,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 0.91/0.99 tff(3922,plain,
% 0.91/0.99 (~m_main_v_state1(s44, c_n1)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3921, 10, 3918])).
% 0.91/0.99 tff(3923,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3924,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3925,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 0.91/0.99 tff(3926,plain,
% 0.91/0.99 (~node11(s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3925, 238, 3922])).
% 0.91/0.99 tff(3927,plain,
% 0.91/0.99 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3928,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3929,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 0.91/0.99 tff(3930,plain,
% 0.91/0.99 (~m_main_v_state1(s44, c_c1)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3929, 539, 3918])).
% 0.91/0.99 tff(3931,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3932,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3933,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 0.91/0.99 tff(3934,plain,
% 0.91/0.99 (~node10(s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3933, 675, 3930])).
% 0.91/0.99 tff(3935,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3936,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3937,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 0.91/0.99 tff(3938,plain,
% 0.91/0.99 (~node9(s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3937, 686, 3922])).
% 0.91/0.99 tff(3939,plain,
% 0.91/0.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3940,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3941,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 0.91/0.99 tff(3942,plain,
% 0.91/0.99 (~m_main_v_state2(s44, c_n2)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3941, 697, 3901])).
% 0.91/0.99 tff(3943,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3944,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3945,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 0.91/0.99 tff(3946,plain,
% 0.91/0.99 (~node8(s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3945, 271, 3942])).
% 0.91/0.99 tff(3947,plain,
% 0.91/0.99 (succ(s44, s45) <=> succ(s44, s45)),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3948,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 0.91/0.99 tff(3949,plain,
% 0.91/0.99 (succ(s44, s45)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 0.91/0.99 tff(3950,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3951,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3952,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 0.91/0.99 tff(3953,plain,
% 0.91/0.99 (trans(s44, s45)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3952, 3949, 32])).
% 0.91/0.99 tff(3954,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3955,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3956,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 0.91/0.99 tff(3957,plain,
% 0.91/0.99 (node14(s44, s45)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3956, 46, 3953])).
% 0.91/0.99 tff(3958,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3959,plain,
% 0.91/0.99 (((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2)) <=> (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3960,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))))),
% 0.91/0.99 inference(monotonicity,[status(thm)],[3959])).
% 0.91/0.99 tff(3961,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 0.91/0.99 inference(transitivity,[status(thm)],[3960, 3958])).
% 0.91/0.99 tff(3962,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3963,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 0.91/0.99 tff(3964,plain,
% 0.91/0.99 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3963, 726, 3957])).
% 0.91/0.99 tff(3965,plain,
% 0.91/0.99 (m_main_v_state2(s45, c_n2)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3964, 3946, 3901, 3938, 3934, 3926, 3909])).
% 0.91/0.99 tff(3966,plain,
% 0.91/0.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3967,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3968,plain,
% 0.91/0.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 0.91/0.99 tff(3969,plain,
% 0.91/0.99 (~m_main_v_state2(s45, c_c2)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3968, 697, 3965])).
% 0.91/0.99 tff(3970,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3971,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3972,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 0.91/0.99 tff(3973,plain,
% 0.91/0.99 (~node3(s45)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3972, 399, 3969])).
% 0.91/0.99 tff(3974,plain,
% 0.91/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3975,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3976,plain,
% 0.91/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 0.91/0.99 tff(3977,plain,
% 0.91/0.99 (~node1(s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3976, 421, 3922])).
% 0.91/0.99 tff(3978,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3979,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 0.91/0.99 inference(quant_inst,[status(thm)],[])).
% 0.91/0.99 tff(3980,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 0.91/0.99 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 0.91/0.99 tff(3981,plain,
% 0.91/0.99 (node18(s43, s44)),
% 0.91/0.99 inference(unit_resolution,[status(thm)],[3980, 125, 3892])).
% 0.91/0.99 tff(3982,plain,
% 0.91/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 0.91/0.99 inference(rewrite,[status(thm)],[])).
% 0.91/0.99 tff(3983,plain,
% 0.91/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(3984,plain,
% 0.91/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2)),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 0.91/1.00 tff(3985,plain,
% 0.91/1.00 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[3984, 760, 3981])).
% 0.91/1.00 tff(3986,plain,
% 0.91/1.00 (m_main_v_turn(s44, c_2)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[3985, 3845, 3881])).
% 0.91/1.00 tff(3987,plain,
% 0.91/1.00 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(3988,plain,
% 0.91/1.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(3989,plain,
% 0.91/1.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2))),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 0.91/1.00 tff(3990,plain,
% 0.91/1.00 (~m_main_v_turn(s44, c_1)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[3989, 156, 3986])).
% 0.91/1.00 tff(3991,plain,
% 0.91/1.00 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(3992,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(3993,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 0.91/1.00 tff(3994,plain,
% 0.91/1.00 (~node5(s44)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[3993, 776, 3990])).
% 0.91/1.00 tff(3995,plain,
% 0.91/1.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(3996,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(3997,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 0.91/1.00 tff(3998,plain,
% 0.91/1.00 (~node2(s44)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[3997, 787, 3922])).
% 0.91/1.00 tff(3999,plain,
% 0.91/1.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(4000,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(4001,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 0.91/1.00 tff(4002,plain,
% 0.91/1.00 (~node3(s44)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[4001, 798, 3922])).
% 0.91/1.00 tff(4003,plain,
% 0.91/1.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(4004,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(4005,plain,
% 0.91/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 0.91/1.00 tff(4006,plain,
% 0.91/1.00 (~node4(s44)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[4005, 388, 3942])).
% 0.91/1.00 tff(4007,plain,
% 0.91/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(4008,plain,
% 0.91/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(4009,plain,
% 0.91/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 0.91/1.00 tff(4010,plain,
% 0.91/1.00 (node7(s44, s45)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[4009, 206, 3953])).
% 0.91/1.00 tff(4011,plain,
% 0.91/1.00 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(4012,plain,
% 0.91/1.00 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 0.91/1.00 inference(quant_inst,[status(thm)],[])).
% 0.91/1.00 tff(4013,plain,
% 0.91/1.00 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45))),
% 0.91/1.00 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 0.91/1.00 tff(4014,plain,
% 0.91/1.00 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[4013, 820, 4010])).
% 0.91/1.00 tff(4015,plain,
% 0.91/1.00 (node6(s44, s45)),
% 0.91/1.00 inference(unit_resolution,[status(thm)],[4014, 4006, 3930, 4002, 3998, 3994, 3977])).
% 0.91/1.00 tff(4016,plain,
% 0.91/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(4017,plain,
% 0.91/1.00 (((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1))) <=> (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 0.91/1.00 inference(rewrite,[status(thm)],[])).
% 0.91/1.00 tff(4018,plain,
% 0.91/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))))),
% 0.91/1.00 inference(monotonicity,[status(thm)],[4017])).
% 0.91/1.00 tff(4019,plain,
% 0.91/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 0.98/1.00 inference(transitivity,[status(thm)],[4018, 4016])).
% 0.98/1.00 tff(4020,plain,
% 0.98/1.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4021,plain,
% 0.98/1.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 0.98/1.00 tff(4022,plain,
% 0.98/1.00 (~m_main_v_state1(s45, c_n1)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4021, 835, 3922, 4015])).
% 0.98/1.00 tff(4023,plain,
% 0.98/1.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4024,plain,
% 0.98/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4025,plain,
% 0.98/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 0.98/1.00 tff(4026,plain,
% 0.98/1.00 (~node2(s45)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4025, 787, 4022])).
% 0.98/1.00 tff(4027,plain,
% 0.98/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4028,plain,
% 0.98/1.00 (((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1)) <=> ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4029,plain,
% 0.98/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))))),
% 0.98/1.00 inference(monotonicity,[status(thm)],[4028])).
% 0.98/1.00 tff(4030,plain,
% 0.98/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 0.98/1.00 inference(transitivity,[status(thm)],[4029, 4027])).
% 0.98/1.00 tff(4031,plain,
% 0.98/1.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4032,plain,
% 0.98/1.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 0.98/1.00 tff(4033,plain,
% 0.98/1.00 (m_main_v_state1(s45, c_t1)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4032, 856, 3918, 4015])).
% 0.98/1.00 tff(4034,plain,
% 0.98/1.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4035,plain,
% 0.98/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4036,plain,
% 0.98/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 0.98/1.00 tff(4037,plain,
% 0.98/1.00 (~m_main_v_state2(s45, c_t2)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4036, 77, 3965])).
% 0.98/1.00 tff(4038,plain,
% 0.98/1.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4039,plain,
% 0.98/1.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4040,plain,
% 0.98/1.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4039, 4038])).
% 0.98/1.00 tff(4041,plain,
% 0.98/1.00 (~node1(s45)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4040, 195, 4037])).
% 0.98/1.00 tff(4042,plain,
% 0.98/1.00 (succ(s45, s46) <=> succ(s45, s46)),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4043,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 0.98/1.00 tff(4044,plain,
% 0.98/1.00 (succ(s45, s46)),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 0.98/1.00 tff(4045,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4046,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4047,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 0.98/1.00 tff(4048,plain,
% 0.98/1.00 (trans(s45, s46)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4047, 4044, 32])).
% 0.98/1.00 tff(4049,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4050,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4051,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 0.98/1.00 tff(4052,plain,
% 0.98/1.00 (node7(s45, s46)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4051, 206, 4048])).
% 0.98/1.00 tff(4053,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4054,plain,
% 0.98/1.00 (((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1)) <=> ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4055,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46))))),
% 0.98/1.00 inference(monotonicity,[status(thm)],[4054])).
% 0.98/1.00 tff(4056,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 0.98/1.00 inference(transitivity,[status(thm)],[4055, 4053])).
% 0.98/1.00 tff(4057,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4058,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 0.98/1.00 tff(4059,plain,
% 0.98/1.00 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4058, 892, 4052])).
% 0.98/1.00 tff(4060,plain,
% 0.98/1.00 (m_main_v_state1(s46, c_c1)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4059, 4041, 3965, 4033, 4026, 3973])).
% 0.98/1.00 tff(4061,plain,
% 0.98/1.00 (^[X: $i] : refl(((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ((~m_main_v_state1(X, c_c1)) | (~always19(X))))),
% 0.98/1.00 inference(bind,[status(th)],[])).
% 0.98/1.00 tff(4062,plain,
% 0.98/1.00 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 0.98/1.00 inference(quant_intro,[status(thm)],[4061])).
% 0.98/1.00 tff(4063,plain,
% 0.98/1.00 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4064,axiom,(![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty1')).
% 0.98/1.00 tff(4065,plain,
% 0.98/1.00 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 0.98/1.00 tff(4066,plain,(
% 0.98/1.00 ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 0.98/1.00 inference(skolemize,[status(sab)],[4065])).
% 0.98/1.00 tff(4067,plain,
% 0.98/1.00 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4066, 4062])).
% 0.98/1.00 tff(4068,plain,
% 0.98/1.00 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s46)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s46)) | (~m_main_v_state1(s46, c_c1)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4069,plain,
% 0.98/1.00 (((~m_main_v_state1(s46, c_c1)) | (~always19(s46))) <=> ((~always19(s46)) | (~m_main_v_state1(s46, c_c1)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4070,plain,
% 0.98/1.00 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s46, c_c1)) | (~always19(s46)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s46)) | (~m_main_v_state1(s46, c_c1))))),
% 0.98/1.00 inference(monotonicity,[status(thm)],[4069])).
% 0.98/1.00 tff(4071,plain,
% 0.98/1.00 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s46, c_c1)) | (~always19(s46)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s46)) | (~m_main_v_state1(s46, c_c1)))),
% 0.98/1.00 inference(transitivity,[status(thm)],[4070, 4068])).
% 0.98/1.00 tff(4072,plain,
% 0.98/1.00 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s46, c_c1)) | (~always19(s46)))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4073,plain,
% 0.98/1.00 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s46)) | (~m_main_v_state1(s46, c_c1))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 0.98/1.00 tff(4074,plain,
% 0.98/1.00 (~always19(s46)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4073, 4067, 4060])).
% 0.98/1.00 tff(4075,plain,
% 0.98/1.00 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 0.98/1.00 inference(bind,[status(th)],[])).
% 0.98/1.00 tff(4076,plain,
% 0.98/1.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 0.98/1.00 inference(quant_intro,[status(thm)],[4075])).
% 0.98/1.00 tff(4077,plain,
% 0.98/1.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4078,plain,
% 0.98/1.00 (^[Y: $i, X: $i] : rewrite(((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 0.98/1.00 inference(bind,[status(th)],[])).
% 0.98/1.00 tff(4079,plain,
% 0.98/1.00 (![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 0.98/1.00 inference(quant_intro,[status(thm)],[4078])).
% 0.98/1.00 tff(4080,axiom,(![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 0.98/1.00 tff(4081,plain,
% 0.98/1.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 0.98/1.00 tff(4082,plain,
% 0.98/1.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4081, 4077])).
% 0.98/1.00 tff(4083,plain,(
% 0.98/1.00 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 0.98/1.00 inference(skolemize,[status(sab)],[4082])).
% 0.98/1.00 tff(4084,plain,
% 0.98/1.00 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4083, 4076])).
% 0.98/1.00 tff(4085,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s45, s46)) | (~always19(s45)) | always19(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s45, s46)) | (~always19(s45)) | always19(s46))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4086,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s45, s46)) | (~always19(s45)) | always19(s46))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4087,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s45, s46)) | (~always19(s45)) | always19(s46)),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 0.98/1.00 tff(4088,plain,
% 0.98/1.00 ((~always19(s45)) | always19(s46)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4087, 4084, 4048])).
% 0.98/1.00 tff(4089,plain,
% 0.98/1.00 (~always19(s45)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4088, 4074])).
% 0.98/1.00 tff(4090,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s44, s45)) | (~always19(s44)) | always19(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s44, s45)) | (~always19(s44)) | always19(s45))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4091,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s44, s45)) | (~always19(s44)) | always19(s45))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4092,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s44, s45)) | (~always19(s44)) | always19(s45)),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 0.98/1.00 tff(4093,plain,
% 0.98/1.00 ((~always19(s44)) | always19(s45)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4092, 4084, 3953])).
% 0.98/1.00 tff(4094,plain,
% 0.98/1.00 (~always19(s44)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4093, 4089])).
% 0.98/1.00 tff(4095,assumption,(~node20(s64)), introduced(assumption)).
% 0.98/1.00 tff(4096,plain,
% 0.98/1.00 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4097,plain,
% 0.98/1.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4098,plain,
% 0.98/1.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4097, 4096])).
% 0.98/1.00 tff(4099,plain,
% 0.98/1.00 (~m_main_v_state1(s46, c_t1)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4098, 539, 4060])).
% 0.98/1.00 tff(4100,plain,
% 0.98/1.00 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4101,plain,
% 0.98/1.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4102,plain,
% 0.98/1.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4101, 4100])).
% 0.98/1.00 tff(4103,plain,
% 0.98/1.00 (~node5(s46)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4102, 550, 4099])).
% 0.98/1.00 tff(4104,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4105,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4106,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 0.98/1.00 inference(modus_ponens,[status(thm)],[4105, 4104])).
% 0.98/1.00 tff(4107,plain,
% 0.98/1.00 (node14(s45, s46)),
% 0.98/1.00 inference(unit_resolution,[status(thm)],[4106, 46, 4048])).
% 0.98/1.00 tff(4108,plain,
% 0.98/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 0.98/1.00 inference(rewrite,[status(thm)],[])).
% 0.98/1.00 tff(4109,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 0.98/1.00 inference(quant_inst,[status(thm)],[])).
% 0.98/1.00 tff(4110,plain,
% 0.98/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 0.98/1.01 tff(4111,plain,
% 0.98/1.01 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4110, 922, 4107])).
% 0.98/1.01 tff(4112,plain,
% 0.98/1.01 (m_main_v_state2(s46, c_t2)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4111, 4033, 3965])).
% 0.98/1.01 tff(4113,plain,
% 0.98/1.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4114,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4115,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 0.98/1.01 tff(4116,plain,
% 0.98/1.01 (~m_main_v_state2(s46, c_n2)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4115, 77, 4112])).
% 0.98/1.01 tff(4117,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4118,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4119,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4118, 4117])).
% 0.98/1.01 tff(4120,plain,
% 0.98/1.01 (~node4(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4119, 388, 4116])).
% 0.98/1.01 tff(4121,plain,
% 0.98/1.01 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4122,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4123,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4122, 4121])).
% 0.98/1.01 tff(4124,plain,
% 0.98/1.01 (~m_main_v_state2(s46, c_c2)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4123, 260, 4112])).
% 0.98/1.01 tff(4125,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4126,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4127,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 0.98/1.01 tff(4128,plain,
% 0.98/1.01 (~node3(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4127, 399, 4124])).
% 0.98/1.01 tff(4129,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4130,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4131,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 0.98/1.01 tff(4132,plain,
% 0.98/1.01 (~node2(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4131, 410, 4116])).
% 0.98/1.01 tff(4133,plain,
% 0.98/1.01 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4134,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4135,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 0.98/1.01 tff(4136,plain,
% 0.98/1.01 (~m_main_v_state1(s46, c_n1)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4135, 454, 4060])).
% 0.98/1.01 tff(4137,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4138,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4139,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4138, 4137])).
% 0.98/1.01 tff(4140,plain,
% 0.98/1.01 (~node1(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4139, 421, 4136])).
% 0.98/1.01 tff(4141,plain,
% 0.98/1.01 (succ(s46, s47) <=> succ(s46, s47)),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4142,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 0.98/1.01 tff(4143,plain,
% 0.98/1.01 (succ(s46, s47)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 0.98/1.01 tff(4144,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4145,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4146,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4145, 4144])).
% 0.98/1.01 tff(4147,plain,
% 0.98/1.01 (trans(s46, s47)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4146, 4143, 32])).
% 0.98/1.01 tff(4148,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4149,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4150,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4149, 4148])).
% 0.98/1.01 tff(4151,plain,
% 0.98/1.01 (node7(s46, s47)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4150, 206, 4147])).
% 0.98/1.01 tff(4152,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4153,plain,
% 0.98/1.01 (((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1)) <=> (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4154,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))))),
% 0.98/1.01 inference(monotonicity,[status(thm)],[4153])).
% 0.98/1.01 tff(4155,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 0.98/1.01 inference(transitivity,[status(thm)],[4154, 4152])).
% 0.98/1.01 tff(4156,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4157,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4156, 4155])).
% 0.98/1.01 tff(4158,plain,
% 0.98/1.01 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4157, 584, 4151])).
% 0.98/1.01 tff(4159,plain,
% 0.98/1.01 (m_main_v_state1(s47, c_n1)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4158, 4140, 4060, 4132, 4128, 4120, 4103])).
% 0.98/1.01 tff(4160,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4161,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4162,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 0.98/1.01 tff(4163,plain,
% 0.98/1.01 (~node15(s45)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4162, 103, 4037])).
% 0.98/1.01 tff(4164,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4165,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4166,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 0.98/1.01 tff(4167,plain,
% 0.98/1.01 (node18(s45, s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4166, 125, 4048])).
% 0.98/1.01 tff(4168,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4169,plain,
% 0.98/1.01 (((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1)) <=> (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4170,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)))),
% 0.98/1.01 inference(monotonicity,[status(thm)],[4169])).
% 0.98/1.01 tff(4171,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 0.98/1.01 inference(transitivity,[status(thm)],[4170, 4168])).
% 0.98/1.01 tff(4172,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4173,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 0.98/1.01 tff(4174,plain,
% 0.98/1.01 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4173, 992, 4167])).
% 0.98/1.01 tff(4175,plain,
% 0.98/1.01 (m_main_v_turn(s46, c_1)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4174, 4163, 3965, 4033])).
% 0.98/1.01 tff(4176,plain,
% 0.98/1.01 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4177,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4178,plain,
% 0.98/1.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 0.98/1.01 tff(4179,plain,
% 0.98/1.01 (~m_main_v_turn(s46, c_2)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4178, 156, 4175])).
% 0.98/1.01 tff(4180,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4181,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4182,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 0.98/1.01 tff(4183,plain,
% 0.98/1.01 (~node12(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4182, 184, 4179])).
% 0.98/1.01 tff(4184,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4185,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4186,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 0.98/1.01 tff(4187,plain,
% 0.98/1.01 (~node8(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4186, 271, 4116])).
% 0.98/1.01 tff(4188,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4189,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4190,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 0.98/1.01 tff(4191,plain,
% 0.98/1.01 (~node9(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4190, 88, 4116])).
% 0.98/1.01 tff(4192,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4193,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4194,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 0.98/1.01 tff(4195,plain,
% 0.98/1.01 (~node10(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4194, 249, 4116])).
% 0.98/1.01 tff(4196,plain,
% 0.98/1.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4197,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4198,plain,
% 0.98/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 0.98/1.01 tff(4199,plain,
% 0.98/1.01 (~node11(s46)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4198, 238, 4136])).
% 0.98/1.01 tff(4200,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4201,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4202,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4201, 4200])).
% 0.98/1.01 tff(4203,plain,
% 0.98/1.01 (node14(s46, s47)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4202, 46, 4147])).
% 0.98/1.01 tff(4204,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4205,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4206,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 0.98/1.01 tff(4207,plain,
% 0.98/1.01 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4206, 296, 4203])).
% 0.98/1.01 tff(4208,plain,
% 0.98/1.01 (node13(s46, s47)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4207, 4199, 4124, 4195, 4191, 4187, 4183])).
% 0.98/1.01 tff(4209,plain,
% 0.98/1.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4210,plain,
% 0.98/1.01 (((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2)) <=> ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4211,plain,
% 0.98/1.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))))),
% 0.98/1.01 inference(monotonicity,[status(thm)],[4210])).
% 0.98/1.01 tff(4212,plain,
% 0.98/1.01 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 0.98/1.01 inference(transitivity,[status(thm)],[4211, 4209])).
% 0.98/1.01 tff(4213,plain,
% 0.98/1.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4214,plain,
% 0.98/1.01 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4213, 4212])).
% 0.98/1.01 tff(4215,plain,
% 0.98/1.01 (m_main_v_state2(s47, c_t2)),
% 0.98/1.01 inference(unit_resolution,[status(thm)],[4214, 518, 4112, 4208])).
% 0.98/1.01 tff(4216,plain,
% 0.98/1.01 (succ(s47, s48) <=> succ(s47, s48)),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4217,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 0.98/1.01 tff(4218,plain,
% 0.98/1.01 (succ(s47, s48)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 0.98/1.01 tff(4219,plain,
% 0.98/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48))),
% 0.98/1.01 inference(rewrite,[status(thm)],[])).
% 0.98/1.01 tff(4220,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 0.98/1.01 inference(quant_inst,[status(thm)],[])).
% 0.98/1.01 tff(4221,plain,
% 0.98/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 0.98/1.01 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 0.98/1.01 tff(4222,plain,
% 0.98/1.02 (trans(s47, s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4221, 4218, 32])).
% 0.98/1.02 tff(4223,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4224,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4225,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4224, 4223])).
% 0.98/1.02 tff(4226,plain,
% 0.98/1.02 (node7(s47, s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4225, 206, 4222])).
% 0.98/1.02 tff(4227,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4228,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4229,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4228, 4227])).
% 0.98/1.02 tff(4230,plain,
% 0.98/1.02 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4229, 651, 4226])).
% 0.98/1.02 tff(4231,plain,
% 0.98/1.02 (m_main_v_state1(s48, c_t1)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4230, 4215, 4159])).
% 0.98/1.02 tff(4232,plain,
% 0.98/1.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4233,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4234,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4233, 4232])).
% 0.98/1.02 tff(4235,plain,
% 0.98/1.02 (~m_main_v_state1(s48, c_n1)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4234, 10, 4231])).
% 0.98/1.02 tff(4236,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4237,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4238,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4237, 4236])).
% 0.98/1.02 tff(4239,plain,
% 0.98/1.02 (~node1(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4238, 421, 4235])).
% 0.98/1.02 tff(4240,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4241,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4242,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 0.98/1.02 tff(4243,plain,
% 0.98/1.02 (node18(s47, s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4242, 125, 4222])).
% 0.98/1.02 tff(4244,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4245,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4246,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4245, 4244])).
% 0.98/1.02 tff(4247,plain,
% 0.98/1.02 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4246, 760, 4243])).
% 0.98/1.02 tff(4248,plain,
% 0.98/1.02 (m_main_v_turn(s48, c_2)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4247, 4215, 4159])).
% 0.98/1.02 tff(4249,plain,
% 0.98/1.02 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4250,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4251,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 0.98/1.02 tff(4252,plain,
% 0.98/1.02 (~m_main_v_turn(s48, c_1)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4251, 156, 4248])).
% 0.98/1.02 tff(4253,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4254,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4255,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 0.98/1.02 tff(4256,plain,
% 0.98/1.02 (~node5(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4255, 776, 4252])).
% 0.98/1.02 tff(4257,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4258,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4259,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 0.98/1.02 tff(4260,plain,
% 0.98/1.02 (~node2(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4259, 787, 4235])).
% 0.98/1.02 tff(4261,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4262,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4263,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 0.98/1.02 tff(4264,plain,
% 0.98/1.02 (~node3(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4263, 798, 4235])).
% 0.98/1.02 tff(4265,plain,
% 0.98/1.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4266,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4267,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 0.98/1.02 tff(4268,plain,
% 0.98/1.02 (~m_main_v_state1(s48, c_c1)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4267, 539, 4231])).
% 0.98/1.02 tff(4269,plain,
% 0.98/1.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4270,plain,
% 0.98/1.02 (((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2))) <=> (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4271,plain,
% 0.98/1.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))))),
% 0.98/1.02 inference(monotonicity,[status(thm)],[4270])).
% 0.98/1.02 tff(4272,plain,
% 0.98/1.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 0.98/1.02 inference(transitivity,[status(thm)],[4271, 4269])).
% 0.98/1.02 tff(4273,plain,
% 0.98/1.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4274,plain,
% 0.98/1.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4273, 4272])).
% 0.98/1.02 tff(4275,plain,
% 0.98/1.02 (~m_main_v_state2(s47, c_n2)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4274, 311, 4116, 4208])).
% 0.98/1.02 tff(4276,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4277,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4278,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 0.98/1.02 tff(4279,plain,
% 0.98/1.02 (~node9(s47)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4278, 88, 4275])).
% 0.98/1.02 tff(4280,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4281,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4282,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 0.98/1.02 tff(4283,plain,
% 0.98/1.02 (~node10(s47)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4282, 249, 4275])).
% 0.98/1.02 tff(4284,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4285,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4286,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 0.98/1.02 tff(4287,plain,
% 0.98/1.02 (~node8(s47)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4286, 271, 4275])).
% 0.98/1.02 tff(4288,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4289,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4290,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 0.98/1.02 tff(4291,plain,
% 0.98/1.02 (node14(s47, s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4290, 46, 4222])).
% 0.98/1.02 tff(4292,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4293,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4294,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 0.98/1.02 tff(4295,plain,
% 0.98/1.02 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | m_main_v_state2(s48, c_c2)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4294, 617, 4291])).
% 0.98/1.02 tff(4296,plain,
% 0.98/1.02 (m_main_v_state2(s48, c_c2)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4295, 4287, 4159, 4215, 4283, 4279])).
% 0.98/1.02 tff(4297,plain,
% 0.98/1.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4298,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4299,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 0.98/1.02 tff(4300,plain,
% 0.98/1.02 (~m_main_v_state2(s48, c_n2)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4299, 697, 4296])).
% 0.98/1.02 tff(4301,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4302,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4303,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 0.98/1.02 tff(4304,plain,
% 0.98/1.02 (~node4(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4303, 388, 4300])).
% 0.98/1.02 tff(4305,plain,
% 0.98/1.02 (succ(s48, s49) <=> succ(s48, s49)),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4306,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 0.98/1.02 tff(4307,plain,
% 0.98/1.02 (succ(s48, s49)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 0.98/1.02 tff(4308,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4309,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4310,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4309, 4308])).
% 0.98/1.02 tff(4311,plain,
% 0.98/1.02 (trans(s48, s49)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4310, 4307, 32])).
% 0.98/1.02 tff(4312,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4313,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4314,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 0.98/1.02 tff(4315,plain,
% 0.98/1.02 (node7(s48, s49)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4314, 206, 4311])).
% 0.98/1.02 tff(4316,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4317,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4318,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4317, 4316])).
% 0.98/1.02 tff(4319,plain,
% 0.98/1.02 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4318, 820, 4315])).
% 0.98/1.02 tff(4320,plain,
% 0.98/1.02 (node6(s48, s49)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4319, 4304, 4268, 4264, 4260, 4256, 4239])).
% 0.98/1.02 tff(4321,plain,
% 0.98/1.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4322,plain,
% 0.98/1.02 (((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1)) <=> ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4323,plain,
% 0.98/1.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))))),
% 0.98/1.02 inference(monotonicity,[status(thm)],[4322])).
% 0.98/1.02 tff(4324,plain,
% 0.98/1.02 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 0.98/1.02 inference(transitivity,[status(thm)],[4323, 4321])).
% 0.98/1.02 tff(4325,plain,
% 0.98/1.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4326,plain,
% 0.98/1.02 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 0.98/1.02 tff(4327,plain,
% 0.98/1.02 (m_main_v_state1(s49, c_t1)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4326, 856, 4231, 4320])).
% 0.98/1.02 tff(4328,plain,
% 0.98/1.02 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4329,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4330,plain,
% 0.98/1.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 0.98/1.02 tff(4331,plain,
% 0.98/1.02 (~m_main_v_state2(s48, c_t2)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4330, 260, 4296])).
% 0.98/1.02 tff(4332,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4333,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4334,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 0.98/1.02 tff(4335,plain,
% 0.98/1.02 (~node12(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4334, 633, 4331])).
% 0.98/1.02 tff(4336,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4337,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4338,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 0.98/1.02 tff(4339,plain,
% 0.98/1.02 (~node11(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4338, 238, 4235])).
% 0.98/1.02 tff(4340,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4341,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4342,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 0.98/1.02 tff(4343,plain,
% 0.98/1.02 (~node10(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4342, 675, 4268])).
% 0.98/1.02 tff(4344,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4345,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4346,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 0.98/1.02 tff(4347,plain,
% 0.98/1.02 (~node9(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4346, 686, 4235])).
% 0.98/1.02 tff(4348,plain,
% 0.98/1.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4349,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4350,plain,
% 0.98/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 0.98/1.02 tff(4351,plain,
% 0.98/1.02 (~node8(s48)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4350, 271, 4300])).
% 0.98/1.02 tff(4352,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49))),
% 0.98/1.02 inference(rewrite,[status(thm)],[])).
% 0.98/1.02 tff(4353,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 0.98/1.02 inference(quant_inst,[status(thm)],[])).
% 0.98/1.02 tff(4354,plain,
% 0.98/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 0.98/1.02 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 0.98/1.02 tff(4355,plain,
% 0.98/1.02 (node14(s48, s49)),
% 0.98/1.02 inference(unit_resolution,[status(thm)],[4354, 46, 4311])).
% 0.98/1.02 tff(4356,plain,
% 0.98/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4357,plain,
% 0.98/1.03 (((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2)) <=> (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4358,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2))))),
% 0.98/1.03 inference(monotonicity,[status(thm)],[4357])).
% 0.98/1.03 tff(4359,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 0.98/1.03 inference(transitivity,[status(thm)],[4358, 4356])).
% 0.98/1.03 tff(4360,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4361,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 0.98/1.03 tff(4362,plain,
% 0.98/1.03 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4361, 726, 4355])).
% 0.98/1.03 tff(4363,plain,
% 0.98/1.03 (m_main_v_state2(s49, c_n2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4362, 4351, 4296, 4347, 4343, 4339, 4335])).
% 0.98/1.03 tff(4364,plain,
% 0.98/1.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4365,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4366,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 0.98/1.03 tff(4367,plain,
% 0.98/1.03 (~m_main_v_state2(s49, c_t2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4366, 77, 4363])).
% 0.98/1.03 tff(4368,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4369,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4370,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 0.98/1.03 tff(4371,plain,
% 0.98/1.03 (~node15(s49)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4370, 103, 4367])).
% 0.98/1.03 tff(4372,plain,
% 0.98/1.03 (succ(s49, s50) <=> succ(s49, s50)),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4373,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 0.98/1.03 tff(4374,plain,
% 0.98/1.03 (succ(s49, s50)),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4373, 4372])).
% 0.98/1.03 tff(4375,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4376,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4377,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 0.98/1.03 tff(4378,plain,
% 0.98/1.03 (trans(s49, s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4377, 4374, 32])).
% 0.98/1.03 tff(4379,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4380,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4381,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 0.98/1.03 tff(4382,plain,
% 0.98/1.03 (node18(s49, s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4381, 125, 4378])).
% 0.98/1.03 tff(4383,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4384,plain,
% 0.98/1.03 (((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1)) <=> (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4385,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)))),
% 0.98/1.03 inference(monotonicity,[status(thm)],[4384])).
% 0.98/1.03 tff(4386,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 0.98/1.03 inference(transitivity,[status(thm)],[4385, 4383])).
% 0.98/1.03 tff(4387,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4388,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 0.98/1.03 tff(4389,plain,
% 0.98/1.03 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4388, 992, 4382])).
% 0.98/1.03 tff(4390,plain,
% 0.98/1.03 (m_main_v_turn(s50, c_1)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4389, 4371, 4363, 4327])).
% 0.98/1.03 tff(4391,plain,
% 0.98/1.03 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4392,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4393,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4392, 4391])).
% 0.98/1.03 tff(4394,plain,
% 0.98/1.03 (~m_main_v_turn(s50, c_2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4393, 156, 4390])).
% 0.98/1.03 tff(4395,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4396,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4397,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4396, 4395])).
% 0.98/1.03 tff(4398,plain,
% 0.98/1.03 (~node12(s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4397, 184, 4394])).
% 0.98/1.03 tff(4399,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4400,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4401,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4400, 4399])).
% 0.98/1.03 tff(4402,plain,
% 0.98/1.03 (node14(s49, s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4401, 46, 4378])).
% 0.98/1.03 tff(4403,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4404,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4405,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2)),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 0.98/1.03 tff(4406,plain,
% 0.98/1.03 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4405, 922, 4402])).
% 0.98/1.03 tff(4407,plain,
% 0.98/1.03 (m_main_v_state2(s50, c_t2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4406, 4327, 4363])).
% 0.98/1.03 tff(4408,plain,
% 0.98/1.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4409,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4410,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 0.98/1.03 tff(4411,plain,
% 0.98/1.03 (~m_main_v_state2(s50, c_n2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4410, 77, 4407])).
% 0.98/1.03 tff(4412,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4413,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4414,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 0.98/1.03 tff(4415,plain,
% 0.98/1.03 (~node8(s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4414, 271, 4411])).
% 0.98/1.03 tff(4416,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4417,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4418,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 0.98/1.03 tff(4419,plain,
% 0.98/1.03 (~node9(s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4418, 88, 4411])).
% 0.98/1.03 tff(4420,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4421,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4422,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 0.98/1.03 tff(4423,plain,
% 0.98/1.03 (~node10(s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4422, 249, 4411])).
% 0.98/1.03 tff(4424,plain,
% 0.98/1.03 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4425,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4426,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4425, 4424])).
% 0.98/1.03 tff(4427,plain,
% 0.98/1.03 (~m_main_v_state2(s50, c_c2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4426, 260, 4407])).
% 0.98/1.03 tff(4428,plain,
% 0.98/1.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4429,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4430,plain,
% 0.98/1.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 0.98/1.03 tff(4431,plain,
% 0.98/1.03 (~m_main_v_state2(s49, c_c2)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4430, 697, 4363])).
% 0.98/1.03 tff(4432,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4433,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4434,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 0.98/1.03 tff(4435,plain,
% 0.98/1.03 (~node3(s49)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4434, 399, 4431])).
% 0.98/1.03 tff(4436,plain,
% 0.98/1.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4437,plain,
% 0.98/1.03 (((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1))) <=> (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4438,plain,
% 0.98/1.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))))),
% 0.98/1.03 inference(monotonicity,[status(thm)],[4437])).
% 0.98/1.03 tff(4439,plain,
% 0.98/1.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 0.98/1.03 inference(transitivity,[status(thm)],[4438, 4436])).
% 0.98/1.03 tff(4440,plain,
% 0.98/1.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4441,plain,
% 0.98/1.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 0.98/1.03 tff(4442,plain,
% 0.98/1.03 (~m_main_v_state1(s49, c_n1)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4441, 835, 4235, 4320])).
% 0.98/1.03 tff(4443,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4444,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4445,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 0.98/1.03 tff(4446,plain,
% 0.98/1.03 (~node2(s49)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4445, 787, 4442])).
% 0.98/1.03 tff(4447,plain,
% 0.98/1.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4448,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4449,plain,
% 0.98/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 0.98/1.03 tff(4450,plain,
% 0.98/1.03 (~node1(s49)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4449, 195, 4367])).
% 0.98/1.03 tff(4451,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4452,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4453,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4452, 4451])).
% 0.98/1.03 tff(4454,plain,
% 0.98/1.03 (node7(s49, s50)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4453, 206, 4378])).
% 0.98/1.03 tff(4455,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4456,plain,
% 0.98/1.03 (((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1)) <=> ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 0.98/1.03 inference(rewrite,[status(thm)],[])).
% 0.98/1.03 tff(4457,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50))))),
% 0.98/1.03 inference(monotonicity,[status(thm)],[4456])).
% 0.98/1.03 tff(4458,plain,
% 0.98/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 0.98/1.03 inference(transitivity,[status(thm)],[4457, 4455])).
% 0.98/1.03 tff(4459,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))),
% 0.98/1.03 inference(quant_inst,[status(thm)],[])).
% 0.98/1.03 tff(4460,plain,
% 0.98/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50))),
% 0.98/1.03 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 0.98/1.03 tff(4461,plain,
% 0.98/1.03 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49)),
% 0.98/1.03 inference(unit_resolution,[status(thm)],[4460, 892, 4454])).
% 0.98/1.03 tff(4462,plain,
% 0.98/1.03 (m_main_v_state1(s50, c_c1)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4461, 4450, 4363, 4327, 4446, 4435])).
% 0.98/1.04 tff(4463,plain,
% 0.98/1.04 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4464,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4465,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 0.98/1.04 tff(4466,plain,
% 0.98/1.04 (~m_main_v_state1(s50, c_n1)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4465, 454, 4462])).
% 0.98/1.04 tff(4467,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4468,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4469,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 0.98/1.04 tff(4470,plain,
% 0.98/1.04 (~node11(s50)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4469, 238, 4466])).
% 0.98/1.04 tff(4471,plain,
% 0.98/1.04 (succ(s50, s51) <=> succ(s50, s51)),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4472,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 0.98/1.04 tff(4473,plain,
% 0.98/1.04 (succ(s50, s51)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 0.98/1.04 tff(4474,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4475,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4476,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 0.98/1.04 tff(4477,plain,
% 0.98/1.04 (trans(s50, s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4476, 4473, 32])).
% 0.98/1.04 tff(4478,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4479,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4480,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 0.98/1.04 tff(4481,plain,
% 0.98/1.04 (node14(s50, s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4480, 46, 4477])).
% 0.98/1.04 tff(4482,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4483,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4484,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 0.98/1.04 tff(4485,plain,
% 0.98/1.04 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4484, 296, 4481])).
% 0.98/1.04 tff(4486,plain,
% 0.98/1.04 (node13(s50, s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4485, 4470, 4427, 4423, 4419, 4415, 4398])).
% 0.98/1.04 tff(4487,plain,
% 0.98/1.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4488,plain,
% 0.98/1.04 (((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2))) <=> (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4489,plain,
% 0.98/1.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))))),
% 0.98/1.04 inference(monotonicity,[status(thm)],[4488])).
% 0.98/1.04 tff(4490,plain,
% 0.98/1.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 0.98/1.04 inference(transitivity,[status(thm)],[4489, 4487])).
% 0.98/1.04 tff(4491,plain,
% 0.98/1.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4492,plain,
% 0.98/1.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 0.98/1.04 tff(4493,plain,
% 0.98/1.04 (~m_main_v_state2(s51, c_n2)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4492, 311, 4411, 4486])).
% 0.98/1.04 tff(4494,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4495,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4496,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 0.98/1.04 tff(4497,plain,
% 0.98/1.04 (~node9(s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4496, 88, 4493])).
% 0.98/1.04 tff(4498,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4499,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4500,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 0.98/1.04 tff(4501,plain,
% 0.98/1.04 (~node10(s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4500, 249, 4493])).
% 0.98/1.04 tff(4502,plain,
% 0.98/1.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4503,plain,
% 0.98/1.04 (((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2)) <=> ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4504,plain,
% 0.98/1.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))))),
% 0.98/1.04 inference(monotonicity,[status(thm)],[4503])).
% 0.98/1.04 tff(4505,plain,
% 0.98/1.04 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 0.98/1.04 inference(transitivity,[status(thm)],[4504, 4502])).
% 0.98/1.04 tff(4506,plain,
% 0.98/1.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4507,plain,
% 0.98/1.04 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 0.98/1.04 tff(4508,plain,
% 0.98/1.04 (m_main_v_state2(s51, c_t2)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4507, 518, 4407, 4486])).
% 0.98/1.04 tff(4509,plain,
% 0.98/1.04 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4510,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4511,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 0.98/1.04 tff(4512,plain,
% 0.98/1.04 (~m_main_v_state1(s50, c_t1)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4511, 539, 4462])).
% 0.98/1.04 tff(4513,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4514,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4515,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4514, 4513])).
% 0.98/1.04 tff(4516,plain,
% 0.98/1.04 (~node5(s50)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4515, 550, 4512])).
% 0.98/1.04 tff(4517,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4518,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4519,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 0.98/1.04 tff(4520,plain,
% 0.98/1.04 (~node4(s50)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4519, 388, 4411])).
% 0.98/1.04 tff(4521,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4522,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4523,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 0.98/1.04 tff(4524,plain,
% 0.98/1.04 (~node3(s50)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4523, 399, 4427])).
% 0.98/1.04 tff(4525,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4526,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4527,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 0.98/1.04 tff(4528,plain,
% 0.98/1.04 (~node2(s50)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4527, 410, 4411])).
% 0.98/1.04 tff(4529,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4530,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4531,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 0.98/1.04 tff(4532,plain,
% 0.98/1.04 (~node1(s50)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4531, 421, 4466])).
% 0.98/1.04 tff(4533,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4534,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4535,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 0.98/1.04 tff(4536,plain,
% 0.98/1.04 (node7(s50, s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4535, 206, 4477])).
% 0.98/1.04 tff(4537,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4538,plain,
% 0.98/1.04 (((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1)) <=> (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4539,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))))),
% 0.98/1.04 inference(monotonicity,[status(thm)],[4538])).
% 0.98/1.04 tff(4540,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 0.98/1.04 inference(transitivity,[status(thm)],[4539, 4537])).
% 0.98/1.04 tff(4541,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4542,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4541, 4540])).
% 0.98/1.04 tff(4543,plain,
% 0.98/1.04 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4542, 584, 4536])).
% 0.98/1.04 tff(4544,plain,
% 0.98/1.04 (m_main_v_state1(s51, c_n1)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4543, 4532, 4462, 4528, 4524, 4520, 4516])).
% 0.98/1.04 tff(4545,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4546,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4547,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 0.98/1.04 tff(4548,plain,
% 0.98/1.04 (~node8(s51)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4547, 271, 4493])).
% 0.98/1.04 tff(4549,plain,
% 0.98/1.04 (succ(s51, s52) <=> succ(s51, s52)),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4550,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 0.98/1.04 tff(4551,plain,
% 0.98/1.04 (succ(s51, s52)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 0.98/1.04 tff(4552,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4553,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4554,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4553, 4552])).
% 0.98/1.04 tff(4555,plain,
% 0.98/1.04 (trans(s51, s52)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4554, 4551, 32])).
% 0.98/1.04 tff(4556,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4557,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4558,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4557, 4556])).
% 0.98/1.04 tff(4559,plain,
% 0.98/1.04 (node14(s51, s52)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4558, 46, 4555])).
% 0.98/1.04 tff(4560,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4561,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4562,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4561, 4560])).
% 0.98/1.04 tff(4563,plain,
% 0.98/1.04 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | m_main_v_state2(s52, c_c2)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4562, 617, 4559])).
% 0.98/1.04 tff(4564,plain,
% 0.98/1.04 (m_main_v_state2(s52, c_c2)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4563, 4548, 4544, 4508, 4501, 4497])).
% 0.98/1.04 tff(4565,plain,
% 0.98/1.04 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4566,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4567,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 0.98/1.04 tff(4568,plain,
% 0.98/1.04 (~m_main_v_state2(s52, c_t2)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4567, 260, 4564])).
% 0.98/1.04 tff(4569,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4570,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4571,plain,
% 0.98/1.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 0.98/1.04 tff(4572,plain,
% 0.98/1.04 (~node12(s52)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4571, 633, 4568])).
% 0.98/1.04 tff(4573,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4574,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4575,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 0.98/1.04 tff(4576,plain,
% 0.98/1.04 (node7(s51, s52)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4575, 206, 4555])).
% 0.98/1.04 tff(4577,plain,
% 0.98/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4578,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4579,plain,
% 0.98/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4578, 4577])).
% 0.98/1.04 tff(4580,plain,
% 0.98/1.04 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4579, 651, 4576])).
% 0.98/1.04 tff(4581,plain,
% 0.98/1.04 (m_main_v_state1(s52, c_t1)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4580, 4508, 4544])).
% 0.98/1.04 tff(4582,plain,
% 0.98/1.04 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))),
% 0.98/1.04 inference(rewrite,[status(thm)],[])).
% 0.98/1.04 tff(4583,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))),
% 0.98/1.04 inference(quant_inst,[status(thm)],[])).
% 0.98/1.04 tff(4584,plain,
% 0.98/1.04 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1))),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 0.98/1.04 tff(4585,plain,
% 0.98/1.04 (~m_main_v_state1(s52, c_n1)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[4584, 10, 4581])).
% 0.98/1.04 tff(4586,plain,
% 0.98/1.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4587,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4588,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 0.98/1.05 tff(4589,plain,
% 0.98/1.05 (~node11(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4588, 238, 4585])).
% 0.98/1.05 tff(4590,plain,
% 0.98/1.05 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4591,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4592,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 0.98/1.05 tff(4593,plain,
% 0.98/1.05 (~m_main_v_state1(s52, c_c1)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4592, 539, 4581])).
% 0.98/1.05 tff(4594,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4595,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4596,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 0.98/1.05 tff(4597,plain,
% 0.98/1.05 (~node10(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4596, 675, 4593])).
% 0.98/1.05 tff(4598,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4599,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4600,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 0.98/1.05 tff(4601,plain,
% 0.98/1.05 (~node9(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4600, 686, 4585])).
% 0.98/1.05 tff(4602,plain,
% 0.98/1.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4603,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4604,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 0.98/1.05 tff(4605,plain,
% 0.98/1.05 (~m_main_v_state2(s52, c_n2)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4604, 697, 4564])).
% 0.98/1.05 tff(4606,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4607,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4608,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 0.98/1.05 tff(4609,plain,
% 0.98/1.05 (~node8(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4608, 271, 4605])).
% 0.98/1.05 tff(4610,plain,
% 0.98/1.05 (succ(s52, s53) <=> succ(s52, s53)),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4611,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 0.98/1.05 tff(4612,plain,
% 0.98/1.05 (succ(s52, s53)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 0.98/1.05 tff(4613,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4614,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4615,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 0.98/1.05 tff(4616,plain,
% 0.98/1.05 (trans(s52, s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4615, 4612, 32])).
% 0.98/1.05 tff(4617,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4618,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4619,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 0.98/1.05 tff(4620,plain,
% 0.98/1.05 (node14(s52, s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4619, 46, 4616])).
% 0.98/1.05 tff(4621,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4622,plain,
% 0.98/1.05 (((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2)) <=> (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4623,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))))),
% 0.98/1.05 inference(monotonicity,[status(thm)],[4622])).
% 0.98/1.05 tff(4624,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 0.98/1.05 inference(transitivity,[status(thm)],[4623, 4621])).
% 0.98/1.05 tff(4625,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4626,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 0.98/1.05 tff(4627,plain,
% 0.98/1.05 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4626, 726, 4620])).
% 0.98/1.05 tff(4628,plain,
% 0.98/1.05 (m_main_v_state2(s53, c_n2)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4627, 4609, 4564, 4601, 4597, 4589, 4572])).
% 0.98/1.05 tff(4629,plain,
% 0.98/1.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4630,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4631,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4630, 4629])).
% 0.98/1.05 tff(4632,plain,
% 0.98/1.05 (~m_main_v_state2(s53, c_c2)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4631, 697, 4628])).
% 0.98/1.05 tff(4633,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4634,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4635,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 0.98/1.05 tff(4636,plain,
% 0.98/1.05 (~node3(s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4635, 399, 4632])).
% 0.98/1.05 tff(4637,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4638,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4639,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4638, 4637])).
% 0.98/1.05 tff(4640,plain,
% 0.98/1.05 (~node1(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4639, 421, 4585])).
% 0.98/1.05 tff(4641,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4642,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4643,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4642, 4641])).
% 0.98/1.05 tff(4644,plain,
% 0.98/1.05 (node18(s51, s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4643, 125, 4555])).
% 0.98/1.05 tff(4645,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4646,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4647,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 0.98/1.05 tff(4648,plain,
% 0.98/1.05 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4647, 760, 4644])).
% 0.98/1.05 tff(4649,plain,
% 0.98/1.05 (m_main_v_turn(s52, c_2)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4648, 4508, 4544])).
% 0.98/1.05 tff(4650,plain,
% 0.98/1.05 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4651,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4652,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4651, 4650])).
% 0.98/1.05 tff(4653,plain,
% 0.98/1.05 (~m_main_v_turn(s52, c_1)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4652, 156, 4649])).
% 0.98/1.05 tff(4654,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4655,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4656,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 0.98/1.05 tff(4657,plain,
% 0.98/1.05 (~node5(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4656, 776, 4653])).
% 0.98/1.05 tff(4658,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4659,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4660,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 0.98/1.05 tff(4661,plain,
% 0.98/1.05 (~node2(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4660, 787, 4585])).
% 0.98/1.05 tff(4662,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4663,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4664,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4663, 4662])).
% 0.98/1.05 tff(4665,plain,
% 0.98/1.05 (~node3(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4664, 798, 4585])).
% 0.98/1.05 tff(4666,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4667,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4668,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4667, 4666])).
% 0.98/1.05 tff(4669,plain,
% 0.98/1.05 (~node4(s52)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4668, 388, 4605])).
% 0.98/1.05 tff(4670,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4671,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4672,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 0.98/1.05 tff(4673,plain,
% 0.98/1.05 (node7(s52, s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4672, 206, 4616])).
% 0.98/1.05 tff(4674,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4675,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4676,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 0.98/1.05 tff(4677,plain,
% 0.98/1.05 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4676, 820, 4673])).
% 0.98/1.05 tff(4678,plain,
% 0.98/1.05 (node6(s52, s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4677, 4669, 4593, 4665, 4661, 4657, 4640])).
% 0.98/1.05 tff(4679,plain,
% 0.98/1.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4680,plain,
% 0.98/1.05 (((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1))) <=> (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4681,plain,
% 0.98/1.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))))),
% 0.98/1.05 inference(monotonicity,[status(thm)],[4680])).
% 0.98/1.05 tff(4682,plain,
% 0.98/1.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 0.98/1.05 inference(transitivity,[status(thm)],[4681, 4679])).
% 0.98/1.05 tff(4683,plain,
% 0.98/1.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4684,plain,
% 0.98/1.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 0.98/1.05 tff(4685,plain,
% 0.98/1.05 (~m_main_v_state1(s53, c_n1)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4684, 835, 4585, 4678])).
% 0.98/1.05 tff(4686,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4687,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4688,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4687, 4686])).
% 0.98/1.05 tff(4689,plain,
% 0.98/1.05 (~node2(s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4688, 787, 4685])).
% 0.98/1.05 tff(4690,plain,
% 0.98/1.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4691,plain,
% 0.98/1.05 (((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1)) <=> ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4692,plain,
% 0.98/1.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))))),
% 0.98/1.05 inference(monotonicity,[status(thm)],[4691])).
% 0.98/1.05 tff(4693,plain,
% 0.98/1.05 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 0.98/1.05 inference(transitivity,[status(thm)],[4692, 4690])).
% 0.98/1.05 tff(4694,plain,
% 0.98/1.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4695,plain,
% 0.98/1.05 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 0.98/1.05 tff(4696,plain,
% 0.98/1.05 (m_main_v_state1(s53, c_t1)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4695, 856, 4581, 4678])).
% 0.98/1.05 tff(4697,plain,
% 0.98/1.05 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4698,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4699,plain,
% 0.98/1.05 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 0.98/1.05 tff(4700,plain,
% 0.98/1.05 (~m_main_v_state2(s53, c_t2)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4699, 77, 4628])).
% 0.98/1.05 tff(4701,plain,
% 0.98/1.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4702,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4703,plain,
% 0.98/1.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4702, 4701])).
% 0.98/1.05 tff(4704,plain,
% 0.98/1.05 (~node1(s53)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4703, 195, 4700])).
% 0.98/1.05 tff(4705,plain,
% 0.98/1.05 (succ(s53, s54) <=> succ(s53, s54)),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4706,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 0.98/1.05 tff(4707,plain,
% 0.98/1.05 (succ(s53, s54)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 0.98/1.05 tff(4708,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4709,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4710,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4709, 4708])).
% 0.98/1.05 tff(4711,plain,
% 0.98/1.05 (trans(s53, s54)),
% 0.98/1.05 inference(unit_resolution,[status(thm)],[4710, 4707, 32])).
% 0.98/1.05 tff(4712,plain,
% 0.98/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54))),
% 0.98/1.05 inference(rewrite,[status(thm)],[])).
% 0.98/1.05 tff(4713,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 0.98/1.05 inference(quant_inst,[status(thm)],[])).
% 0.98/1.05 tff(4714,plain,
% 0.98/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 0.98/1.05 inference(modus_ponens,[status(thm)],[4713, 4712])).
% 0.98/1.05 tff(4715,plain,
% 0.98/1.05 (node7(s53, s54)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4714, 206, 4711])).
% 0.98/1.06 tff(4716,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4717,plain,
% 0.98/1.06 (((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1)) <=> ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4718,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54))))),
% 0.98/1.06 inference(monotonicity,[status(thm)],[4717])).
% 0.98/1.06 tff(4719,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 0.98/1.06 inference(transitivity,[status(thm)],[4718, 4716])).
% 0.98/1.06 tff(4720,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4721,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4720, 4719])).
% 0.98/1.06 tff(4722,plain,
% 0.98/1.06 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4721, 892, 4715])).
% 0.98/1.06 tff(4723,plain,
% 0.98/1.06 (m_main_v_state1(s54, c_c1)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4722, 4704, 4628, 4696, 4689, 4636])).
% 0.98/1.06 tff(4724,plain,
% 0.98/1.06 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4725,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4726,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4725, 4724])).
% 0.98/1.06 tff(4727,plain,
% 0.98/1.06 (~m_main_v_state1(s54, c_t1)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4726, 539, 4723])).
% 0.98/1.06 tff(4728,plain,
% 0.98/1.06 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4729,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4730,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4729, 4728])).
% 0.98/1.06 tff(4731,plain,
% 0.98/1.06 (~node5(s54)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4730, 550, 4727])).
% 0.98/1.06 tff(4732,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4733,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4734,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4733, 4732])).
% 0.98/1.06 tff(4735,plain,
% 0.98/1.06 (node14(s53, s54)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4734, 46, 4711])).
% 0.98/1.06 tff(4736,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4737,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4738,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2)),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4737, 4736])).
% 0.98/1.06 tff(4739,plain,
% 0.98/1.06 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4738, 922, 4735])).
% 0.98/1.06 tff(4740,plain,
% 0.98/1.06 (m_main_v_state2(s54, c_t2)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4739, 4696, 4628])).
% 0.98/1.06 tff(4741,plain,
% 0.98/1.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4742,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4743,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 0.98/1.06 tff(4744,plain,
% 0.98/1.06 (~m_main_v_state2(s54, c_n2)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4743, 77, 4740])).
% 0.98/1.06 tff(4745,plain,
% 0.98/1.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4746,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4747,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4746, 4745])).
% 0.98/1.06 tff(4748,plain,
% 0.98/1.06 (~node4(s54)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4747, 388, 4744])).
% 0.98/1.06 tff(4749,plain,
% 0.98/1.06 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4750,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4751,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 0.98/1.06 tff(4752,plain,
% 0.98/1.06 (~m_main_v_state2(s54, c_c2)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4751, 260, 4740])).
% 0.98/1.06 tff(4753,plain,
% 0.98/1.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4754,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4755,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 0.98/1.06 tff(4756,plain,
% 0.98/1.06 (~node3(s54)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4755, 399, 4752])).
% 0.98/1.06 tff(4757,plain,
% 0.98/1.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4758,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4759,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 0.98/1.06 tff(4760,plain,
% 0.98/1.06 (~node2(s54)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4759, 410, 4744])).
% 0.98/1.06 tff(4761,plain,
% 0.98/1.06 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4762,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4763,plain,
% 0.98/1.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 0.98/1.06 tff(4764,plain,
% 0.98/1.06 (~m_main_v_state1(s54, c_n1)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4763, 454, 4723])).
% 0.98/1.06 tff(4765,plain,
% 0.98/1.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4766,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4767,plain,
% 0.98/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4766, 4765])).
% 0.98/1.06 tff(4768,plain,
% 0.98/1.06 (~node1(s54)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4767, 421, 4764])).
% 0.98/1.06 tff(4769,plain,
% 0.98/1.06 (succ(s54, s55) <=> succ(s54, s55)),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4770,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 0.98/1.06 tff(4771,plain,
% 0.98/1.06 (succ(s54, s55)),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 0.98/1.06 tff(4772,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4773,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4774,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4773, 4772])).
% 0.98/1.06 tff(4775,plain,
% 0.98/1.06 (trans(s54, s55)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4774, 4771, 32])).
% 0.98/1.06 tff(4776,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4777,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 0.98/1.06 inference(quant_inst,[status(thm)],[])).
% 0.98/1.06 tff(4778,plain,
% 0.98/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 0.98/1.06 inference(modus_ponens,[status(thm)],[4777, 4776])).
% 0.98/1.06 tff(4779,plain,
% 0.98/1.06 (node7(s54, s55)),
% 0.98/1.06 inference(unit_resolution,[status(thm)],[4778, 206, 4775])).
% 0.98/1.06 tff(4780,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4781,plain,
% 0.98/1.06 (((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1)) <=> (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 0.98/1.06 inference(rewrite,[status(thm)],[])).
% 0.98/1.06 tff(4782,plain,
% 0.98/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))))),
% 1.04/1.06 inference(monotonicity,[status(thm)],[4781])).
% 1.04/1.06 tff(4783,plain,
% 1.04/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 1.04/1.06 inference(transitivity,[status(thm)],[4782, 4780])).
% 1.04/1.06 tff(4784,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4785,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 1.04/1.06 tff(4786,plain,
% 1.04/1.06 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4785, 584, 4779])).
% 1.04/1.06 tff(4787,plain,
% 1.04/1.06 (m_main_v_state1(s55, c_n1)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4786, 4768, 4723, 4760, 4756, 4748, 4731])).
% 1.04/1.06 tff(4788,plain,
% 1.04/1.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4789,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4790,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 1.04/1.06 tff(4791,plain,
% 1.04/1.06 (~node15(s53)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4790, 103, 4700])).
% 1.04/1.06 tff(4792,plain,
% 1.04/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4793,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4794,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 1.04/1.06 tff(4795,plain,
% 1.04/1.06 (node18(s53, s54)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4794, 125, 4711])).
% 1.04/1.06 tff(4796,plain,
% 1.04/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4797,plain,
% 1.04/1.06 (((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1)) <=> (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4798,plain,
% 1.04/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)))),
% 1.04/1.06 inference(monotonicity,[status(thm)],[4797])).
% 1.04/1.06 tff(4799,plain,
% 1.04/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 1.04/1.06 inference(transitivity,[status(thm)],[4798, 4796])).
% 1.04/1.06 tff(4800,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4801,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4800, 4799])).
% 1.04/1.06 tff(4802,plain,
% 1.04/1.06 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4801, 992, 4795])).
% 1.04/1.06 tff(4803,plain,
% 1.04/1.06 (m_main_v_turn(s54, c_1)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4802, 4791, 4628, 4696])).
% 1.04/1.06 tff(4804,plain,
% 1.04/1.06 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4805,plain,
% 1.04/1.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4806,plain,
% 1.04/1.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 1.04/1.06 tff(4807,plain,
% 1.04/1.06 (~m_main_v_turn(s54, c_2)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4806, 156, 4803])).
% 1.04/1.06 tff(4808,plain,
% 1.04/1.06 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4809,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4810,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 1.04/1.06 tff(4811,plain,
% 1.04/1.06 (~node12(s54)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4810, 184, 4807])).
% 1.04/1.06 tff(4812,plain,
% 1.04/1.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4813,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4814,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 1.04/1.06 tff(4815,plain,
% 1.04/1.06 (~node8(s54)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4814, 271, 4744])).
% 1.04/1.06 tff(4816,plain,
% 1.04/1.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4817,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4818,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 1.04/1.06 tff(4819,plain,
% 1.04/1.06 (~node9(s54)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4818, 88, 4744])).
% 1.04/1.06 tff(4820,plain,
% 1.04/1.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4821,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4822,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 1.04/1.06 tff(4823,plain,
% 1.04/1.06 (~node10(s54)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4822, 249, 4744])).
% 1.04/1.06 tff(4824,plain,
% 1.04/1.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4825,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4826,plain,
% 1.04/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 1.04/1.06 tff(4827,plain,
% 1.04/1.06 (~node11(s54)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4826, 238, 4764])).
% 1.04/1.06 tff(4828,plain,
% 1.04/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4829,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 1.04/1.06 inference(quant_inst,[status(thm)],[])).
% 1.04/1.06 tff(4830,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 1.04/1.06 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 1.04/1.06 tff(4831,plain,
% 1.04/1.06 (node14(s54, s55)),
% 1.04/1.06 inference(unit_resolution,[status(thm)],[4830, 46, 4775])).
% 1.04/1.06 tff(4832,plain,
% 1.04/1.06 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 1.04/1.06 inference(rewrite,[status(thm)],[])).
% 1.04/1.06 tff(4833,plain,
% 1.04/1.06 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4834,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4833, 4832])).
% 1.04/1.07 tff(4835,plain,
% 1.04/1.07 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4834, 296, 4831])).
% 1.04/1.07 tff(4836,plain,
% 1.04/1.07 (node13(s54, s55)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4835, 4827, 4752, 4823, 4819, 4815, 4811])).
% 1.04/1.07 tff(4837,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4838,plain,
% 1.04/1.07 (((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2)) <=> ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4839,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))))),
% 1.04/1.07 inference(monotonicity,[status(thm)],[4838])).
% 1.04/1.07 tff(4840,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 1.04/1.07 inference(transitivity,[status(thm)],[4839, 4837])).
% 1.04/1.07 tff(4841,plain,
% 1.04/1.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4842,plain,
% 1.04/1.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 1.04/1.07 tff(4843,plain,
% 1.04/1.07 (m_main_v_state2(s55, c_t2)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4842, 518, 4740, 4836])).
% 1.04/1.07 tff(4844,plain,
% 1.04/1.07 (succ(s55, s56) <=> succ(s55, s56)),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4845,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 1.04/1.07 tff(4846,plain,
% 1.04/1.07 (succ(s55, s56)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 1.04/1.07 tff(4847,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4848,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4849,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 1.04/1.07 tff(4850,plain,
% 1.04/1.07 (trans(s55, s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4849, 4846, 32])).
% 1.04/1.07 tff(4851,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4852,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4853,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 1.04/1.07 tff(4854,plain,
% 1.04/1.07 (node7(s55, s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4853, 206, 4850])).
% 1.04/1.07 tff(4855,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4856,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4857,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 1.04/1.07 tff(4858,plain,
% 1.04/1.07 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4857, 651, 4854])).
% 1.04/1.07 tff(4859,plain,
% 1.04/1.07 (m_main_v_state1(s56, c_t1)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4858, 4843, 4787])).
% 1.04/1.07 tff(4860,plain,
% 1.04/1.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4861,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4862,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 1.04/1.07 tff(4863,plain,
% 1.04/1.07 (~m_main_v_state1(s56, c_n1)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4862, 10, 4859])).
% 1.04/1.07 tff(4864,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4865,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4866,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4865, 4864])).
% 1.04/1.07 tff(4867,plain,
% 1.04/1.07 (~node1(s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4866, 421, 4863])).
% 1.04/1.07 tff(4868,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4869,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4870,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4869, 4868])).
% 1.04/1.07 tff(4871,plain,
% 1.04/1.07 (node18(s55, s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4870, 125, 4850])).
% 1.04/1.07 tff(4872,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4873,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4874,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 1.04/1.07 tff(4875,plain,
% 1.04/1.07 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4874, 760, 4871])).
% 1.04/1.07 tff(4876,plain,
% 1.04/1.07 (m_main_v_turn(s56, c_2)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4875, 4843, 4787])).
% 1.04/1.07 tff(4877,plain,
% 1.04/1.07 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4878,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4879,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 1.04/1.07 tff(4880,plain,
% 1.04/1.07 (~m_main_v_turn(s56, c_1)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4879, 156, 4876])).
% 1.04/1.07 tff(4881,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4882,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4883,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 1.04/1.07 tff(4884,plain,
% 1.04/1.07 (~node5(s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4883, 776, 4880])).
% 1.04/1.07 tff(4885,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4886,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4887,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 1.04/1.07 tff(4888,plain,
% 1.04/1.07 (~node2(s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4887, 787, 4863])).
% 1.04/1.07 tff(4889,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4890,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4891,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 1.04/1.07 tff(4892,plain,
% 1.04/1.07 (~node3(s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4891, 798, 4863])).
% 1.04/1.07 tff(4893,plain,
% 1.04/1.07 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4894,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4895,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4894, 4893])).
% 1.04/1.07 tff(4896,plain,
% 1.04/1.07 (~m_main_v_state1(s56, c_c1)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4895, 539, 4859])).
% 1.04/1.07 tff(4897,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4898,plain,
% 1.04/1.07 (((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2))) <=> (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4899,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))))),
% 1.04/1.07 inference(monotonicity,[status(thm)],[4898])).
% 1.04/1.07 tff(4900,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 1.04/1.07 inference(transitivity,[status(thm)],[4899, 4897])).
% 1.04/1.07 tff(4901,plain,
% 1.04/1.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4902,plain,
% 1.04/1.07 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 1.04/1.07 tff(4903,plain,
% 1.04/1.07 (~m_main_v_state2(s55, c_n2)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4902, 311, 4744, 4836])).
% 1.04/1.07 tff(4904,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4905,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4906,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4905, 4904])).
% 1.04/1.07 tff(4907,plain,
% 1.04/1.07 (~node9(s55)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4906, 88, 4903])).
% 1.04/1.07 tff(4908,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4909,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4910,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 1.04/1.07 tff(4911,plain,
% 1.04/1.07 (~node10(s55)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4910, 249, 4903])).
% 1.04/1.07 tff(4912,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4913,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4914,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 1.04/1.07 tff(4915,plain,
% 1.04/1.07 (~node8(s55)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4914, 271, 4903])).
% 1.04/1.07 tff(4916,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4917,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4918,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 1.04/1.07 tff(4919,plain,
% 1.04/1.07 (node14(s55, s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4918, 46, 4850])).
% 1.04/1.07 tff(4920,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4921,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4922,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 1.04/1.07 tff(4923,plain,
% 1.04/1.07 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | m_main_v_state2(s56, c_c2)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4922, 617, 4919])).
% 1.04/1.07 tff(4924,plain,
% 1.04/1.07 (m_main_v_state2(s56, c_c2)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4923, 4915, 4787, 4843, 4911, 4907])).
% 1.04/1.07 tff(4925,plain,
% 1.04/1.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4926,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4927,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 1.04/1.07 tff(4928,plain,
% 1.04/1.07 (~m_main_v_state2(s56, c_n2)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4927, 697, 4924])).
% 1.04/1.07 tff(4929,plain,
% 1.04/1.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4930,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4931,plain,
% 1.04/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 1.04/1.07 tff(4932,plain,
% 1.04/1.07 (~node4(s56)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4931, 388, 4928])).
% 1.04/1.07 tff(4933,plain,
% 1.04/1.07 (succ(s56, s57) <=> succ(s56, s57)),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4934,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 1.04/1.07 tff(4935,plain,
% 1.04/1.07 (succ(s56, s57)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 1.04/1.07 tff(4936,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4937,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4938,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4937, 4936])).
% 1.04/1.07 tff(4939,plain,
% 1.04/1.07 (trans(s56, s57)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4938, 4935, 32])).
% 1.04/1.07 tff(4940,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4941,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4942,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4941, 4940])).
% 1.04/1.07 tff(4943,plain,
% 1.04/1.07 (node7(s56, s57)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4942, 206, 4939])).
% 1.04/1.07 tff(4944,plain,
% 1.04/1.07 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4945,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4946,plain,
% 1.04/1.07 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 1.04/1.07 tff(4947,plain,
% 1.04/1.07 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4946, 820, 4943])).
% 1.04/1.07 tff(4948,plain,
% 1.04/1.07 (node6(s56, s57)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4947, 4932, 4896, 4892, 4888, 4884, 4867])).
% 1.04/1.07 tff(4949,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4950,plain,
% 1.04/1.07 (((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1)) <=> ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4951,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))))),
% 1.04/1.07 inference(monotonicity,[status(thm)],[4950])).
% 1.04/1.07 tff(4952,plain,
% 1.04/1.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 1.04/1.07 inference(transitivity,[status(thm)],[4951, 4949])).
% 1.04/1.07 tff(4953,plain,
% 1.04/1.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4954,plain,
% 1.04/1.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))),
% 1.04/1.07 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 1.04/1.07 tff(4955,plain,
% 1.04/1.07 (m_main_v_state1(s57, c_t1)),
% 1.04/1.07 inference(unit_resolution,[status(thm)],[4954, 856, 4859, 4948])).
% 1.04/1.07 tff(4956,plain,
% 1.04/1.07 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))),
% 1.04/1.07 inference(rewrite,[status(thm)],[])).
% 1.04/1.07 tff(4957,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))),
% 1.04/1.07 inference(quant_inst,[status(thm)],[])).
% 1.04/1.07 tff(4958,plain,
% 1.04/1.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4957, 4956])).
% 1.04/1.08 tff(4959,plain,
% 1.04/1.08 (~m_main_v_state2(s56, c_t2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4958, 260, 4924])).
% 1.04/1.08 tff(4960,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4961,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4962,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 1.04/1.08 tff(4963,plain,
% 1.04/1.08 (~node12(s56)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4962, 633, 4959])).
% 1.04/1.08 tff(4964,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4965,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4966,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 1.04/1.08 tff(4967,plain,
% 1.04/1.08 (~node11(s56)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4966, 238, 4863])).
% 1.04/1.08 tff(4968,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4969,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4970,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 1.04/1.08 tff(4971,plain,
% 1.04/1.08 (~node10(s56)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4970, 675, 4896])).
% 1.04/1.08 tff(4972,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4973,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4974,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 1.04/1.08 tff(4975,plain,
% 1.04/1.08 (~node9(s56)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4974, 686, 4863])).
% 1.04/1.08 tff(4976,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4977,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4978,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 1.04/1.08 tff(4979,plain,
% 1.04/1.08 (~node8(s56)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4978, 271, 4928])).
% 1.04/1.08 tff(4980,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4981,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4982,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 1.04/1.08 tff(4983,plain,
% 1.04/1.08 (node14(s56, s57)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4982, 46, 4939])).
% 1.04/1.08 tff(4984,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4985,plain,
% 1.04/1.08 (((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2)) <=> (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4986,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))))),
% 1.04/1.08 inference(monotonicity,[status(thm)],[4985])).
% 1.04/1.08 tff(4987,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 1.04/1.08 inference(transitivity,[status(thm)],[4986, 4984])).
% 1.04/1.08 tff(4988,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4989,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 1.04/1.08 tff(4990,plain,
% 1.04/1.08 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4989, 726, 4983])).
% 1.04/1.08 tff(4991,plain,
% 1.04/1.08 (m_main_v_state2(s57, c_n2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4990, 4979, 4924, 4975, 4971, 4967, 4963])).
% 1.04/1.08 tff(4992,plain,
% 1.04/1.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4993,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4994,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 1.04/1.08 tff(4995,plain,
% 1.04/1.08 (~m_main_v_state2(s57, c_t2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4994, 77, 4991])).
% 1.04/1.08 tff(4996,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(4997,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(4998,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 1.04/1.08 tff(4999,plain,
% 1.04/1.08 (~node15(s57)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[4998, 103, 4995])).
% 1.04/1.08 tff(5000,plain,
% 1.04/1.08 (succ(s57, s58) <=> succ(s57, s58)),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5001,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 1.04/1.08 tff(5002,plain,
% 1.04/1.08 (succ(s57, s58)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5001, 5000])).
% 1.04/1.08 tff(5003,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5004,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5005,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 1.04/1.08 tff(5006,plain,
% 1.04/1.08 (trans(s57, s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5005, 5002, 32])).
% 1.04/1.08 tff(5007,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5008,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5009,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 1.04/1.08 tff(5010,plain,
% 1.04/1.08 (node18(s57, s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5009, 125, 5006])).
% 1.04/1.08 tff(5011,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5012,plain,
% 1.04/1.08 (((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1)) <=> (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5013,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)))),
% 1.04/1.08 inference(monotonicity,[status(thm)],[5012])).
% 1.04/1.08 tff(5014,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 1.04/1.08 inference(transitivity,[status(thm)],[5013, 5011])).
% 1.04/1.08 tff(5015,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5016,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5015, 5014])).
% 1.04/1.08 tff(5017,plain,
% 1.04/1.08 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5016, 992, 5010])).
% 1.04/1.08 tff(5018,plain,
% 1.04/1.08 (m_main_v_turn(s58, c_1)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5017, 4999, 4991, 4955])).
% 1.04/1.08 tff(5019,plain,
% 1.04/1.08 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5020,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5021,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 1.04/1.08 tff(5022,plain,
% 1.04/1.08 (~m_main_v_turn(s58, c_2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5021, 156, 5018])).
% 1.04/1.08 tff(5023,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5024,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5025,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5024, 5023])).
% 1.04/1.08 tff(5026,plain,
% 1.04/1.08 (~node12(s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5025, 184, 5022])).
% 1.04/1.08 tff(5027,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5028,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5029,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 1.04/1.08 tff(5030,plain,
% 1.04/1.08 (node14(s57, s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5029, 46, 5006])).
% 1.04/1.08 tff(5031,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5032,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5033,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 1.04/1.08 tff(5034,plain,
% 1.04/1.08 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5033, 922, 5030])).
% 1.04/1.08 tff(5035,plain,
% 1.04/1.08 (m_main_v_state2(s58, c_t2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5034, 4955, 4991])).
% 1.04/1.08 tff(5036,plain,
% 1.04/1.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5037,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5038,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 1.04/1.08 tff(5039,plain,
% 1.04/1.08 (~m_main_v_state2(s58, c_n2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5038, 77, 5035])).
% 1.04/1.08 tff(5040,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5041,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5042,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 1.04/1.08 tff(5043,plain,
% 1.04/1.08 (~node8(s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5042, 271, 5039])).
% 1.04/1.08 tff(5044,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5045,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5046,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 1.04/1.08 tff(5047,plain,
% 1.04/1.08 (~node9(s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5046, 88, 5039])).
% 1.04/1.08 tff(5048,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5049,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5050,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5049, 5048])).
% 1.04/1.08 tff(5051,plain,
% 1.04/1.08 (~node10(s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5050, 249, 5039])).
% 1.04/1.08 tff(5052,plain,
% 1.04/1.08 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5053,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5054,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5053, 5052])).
% 1.04/1.08 tff(5055,plain,
% 1.04/1.08 (~m_main_v_state2(s58, c_c2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5054, 260, 5035])).
% 1.04/1.08 tff(5056,plain,
% 1.04/1.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5057,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5058,plain,
% 1.04/1.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 1.04/1.08 tff(5059,plain,
% 1.04/1.08 (~m_main_v_state2(s57, c_c2)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5058, 697, 4991])).
% 1.04/1.08 tff(5060,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5061,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5062,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 1.04/1.08 tff(5063,plain,
% 1.04/1.08 (~node3(s57)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5062, 399, 5059])).
% 1.04/1.08 tff(5064,plain,
% 1.04/1.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5065,plain,
% 1.04/1.08 (((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1))) <=> (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5066,plain,
% 1.04/1.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))))),
% 1.04/1.08 inference(monotonicity,[status(thm)],[5065])).
% 1.04/1.08 tff(5067,plain,
% 1.04/1.08 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 1.04/1.08 inference(transitivity,[status(thm)],[5066, 5064])).
% 1.04/1.08 tff(5068,plain,
% 1.04/1.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5069,plain,
% 1.04/1.08 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 1.04/1.08 tff(5070,plain,
% 1.04/1.08 (~m_main_v_state1(s57, c_n1)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5069, 835, 4863, 4948])).
% 1.04/1.08 tff(5071,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5072,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5073,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 1.04/1.08 tff(5074,plain,
% 1.04/1.08 (~node2(s57)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5073, 787, 5070])).
% 1.04/1.08 tff(5075,plain,
% 1.04/1.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5076,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5077,plain,
% 1.04/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 1.04/1.08 tff(5078,plain,
% 1.04/1.08 (~node1(s57)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5077, 195, 4995])).
% 1.04/1.08 tff(5079,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58))),
% 1.04/1.08 inference(rewrite,[status(thm)],[])).
% 1.04/1.08 tff(5080,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 1.04/1.08 inference(quant_inst,[status(thm)],[])).
% 1.04/1.08 tff(5081,plain,
% 1.04/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 1.04/1.08 inference(modus_ponens,[status(thm)],[5080, 5079])).
% 1.04/1.08 tff(5082,plain,
% 1.04/1.08 (node7(s57, s58)),
% 1.04/1.08 inference(unit_resolution,[status(thm)],[5081, 206, 5006])).
% 1.04/1.08 tff(5083,plain,
% 1.04/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5084,plain,
% 1.04/1.09 (((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1)) <=> ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5085,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58))))),
% 1.04/1.09 inference(monotonicity,[status(thm)],[5084])).
% 1.04/1.09 tff(5086,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 1.04/1.09 inference(transitivity,[status(thm)],[5085, 5083])).
% 1.04/1.09 tff(5087,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5088,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 1.04/1.09 tff(5089,plain,
% 1.04/1.09 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5088, 892, 5082])).
% 1.04/1.09 tff(5090,plain,
% 1.04/1.09 (m_main_v_state1(s58, c_c1)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5089, 5078, 4991, 4955, 5074, 5063])).
% 1.04/1.09 tff(5091,plain,
% 1.04/1.09 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5092,plain,
% 1.04/1.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5093,plain,
% 1.04/1.09 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 1.04/1.09 tff(5094,plain,
% 1.04/1.09 (~m_main_v_state1(s58, c_n1)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5093, 454, 5090])).
% 1.04/1.09 tff(5095,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5096,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5097,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 1.04/1.09 tff(5098,plain,
% 1.04/1.09 (~node11(s58)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5097, 238, 5094])).
% 1.04/1.09 tff(5099,plain,
% 1.04/1.09 (succ(s58, s59) <=> succ(s58, s59)),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5100,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 1.04/1.09 tff(5101,plain,
% 1.04/1.09 (succ(s58, s59)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 1.04/1.09 tff(5102,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5103,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5104,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 1.04/1.09 tff(5105,plain,
% 1.04/1.09 (trans(s58, s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5104, 5101, 32])).
% 1.04/1.09 tff(5106,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5107,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5108,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 1.04/1.09 tff(5109,plain,
% 1.04/1.09 (node14(s58, s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5108, 46, 5105])).
% 1.04/1.09 tff(5110,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5111,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5112,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 1.04/1.09 tff(5113,plain,
% 1.04/1.09 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5112, 296, 5109])).
% 1.04/1.09 tff(5114,plain,
% 1.04/1.09 (node13(s58, s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5113, 5098, 5055, 5051, 5047, 5043, 5026])).
% 1.04/1.09 tff(5115,plain,
% 1.04/1.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5116,plain,
% 1.04/1.09 (((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2))) <=> (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5117,plain,
% 1.04/1.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))))),
% 1.04/1.09 inference(monotonicity,[status(thm)],[5116])).
% 1.04/1.09 tff(5118,plain,
% 1.04/1.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 1.04/1.09 inference(transitivity,[status(thm)],[5117, 5115])).
% 1.04/1.09 tff(5119,plain,
% 1.04/1.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5120,plain,
% 1.04/1.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 1.04/1.09 tff(5121,plain,
% 1.04/1.09 (~m_main_v_state2(s59, c_n2)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5120, 311, 5039, 5114])).
% 1.04/1.09 tff(5122,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5123,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5124,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 1.04/1.09 tff(5125,plain,
% 1.04/1.09 (~node9(s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5124, 88, 5121])).
% 1.04/1.09 tff(5126,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5127,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5128,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 1.04/1.09 tff(5129,plain,
% 1.04/1.09 (~node10(s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5128, 249, 5121])).
% 1.04/1.09 tff(5130,plain,
% 1.04/1.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5131,plain,
% 1.04/1.09 (((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2)) <=> ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5132,plain,
% 1.04/1.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))))),
% 1.04/1.09 inference(monotonicity,[status(thm)],[5131])).
% 1.04/1.09 tff(5133,plain,
% 1.04/1.09 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 1.04/1.09 inference(transitivity,[status(thm)],[5132, 5130])).
% 1.04/1.09 tff(5134,plain,
% 1.04/1.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5135,plain,
% 1.04/1.09 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 1.04/1.09 tff(5136,plain,
% 1.04/1.09 (m_main_v_state2(s59, c_t2)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5135, 518, 5035, 5114])).
% 1.04/1.09 tff(5137,plain,
% 1.04/1.09 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5138,plain,
% 1.04/1.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5139,plain,
% 1.04/1.09 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5138, 5137])).
% 1.04/1.09 tff(5140,plain,
% 1.04/1.09 (~m_main_v_state1(s58, c_t1)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5139, 539, 5090])).
% 1.04/1.09 tff(5141,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5142,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5143,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5142, 5141])).
% 1.04/1.09 tff(5144,plain,
% 1.04/1.09 (~node5(s58)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5143, 550, 5140])).
% 1.04/1.09 tff(5145,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5146,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5147,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 1.04/1.09 tff(5148,plain,
% 1.04/1.09 (~node4(s58)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5147, 388, 5039])).
% 1.04/1.09 tff(5149,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5150,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5151,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 1.04/1.09 tff(5152,plain,
% 1.04/1.09 (~node3(s58)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5151, 399, 5055])).
% 1.04/1.09 tff(5153,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5154,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5155,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 1.04/1.09 tff(5156,plain,
% 1.04/1.09 (~node2(s58)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5155, 410, 5039])).
% 1.04/1.09 tff(5157,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5158,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5159,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 1.04/1.09 tff(5160,plain,
% 1.04/1.09 (~node1(s58)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5159, 421, 5094])).
% 1.04/1.09 tff(5161,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5162,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5163,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 1.04/1.09 tff(5164,plain,
% 1.04/1.09 (node7(s58, s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5163, 206, 5105])).
% 1.04/1.09 tff(5165,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5166,plain,
% 1.04/1.09 (((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1)) <=> (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5167,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))))),
% 1.04/1.09 inference(monotonicity,[status(thm)],[5166])).
% 1.04/1.09 tff(5168,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 1.04/1.09 inference(transitivity,[status(thm)],[5167, 5165])).
% 1.04/1.09 tff(5169,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5170,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 1.04/1.09 tff(5171,plain,
% 1.04/1.09 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5170, 584, 5164])).
% 1.04/1.09 tff(5172,plain,
% 1.04/1.09 (m_main_v_state1(s59, c_n1)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5171, 5160, 5090, 5156, 5152, 5148, 5144])).
% 1.04/1.09 tff(5173,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5174,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5175,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5174, 5173])).
% 1.04/1.09 tff(5176,plain,
% 1.04/1.09 (~node8(s59)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5175, 271, 5121])).
% 1.04/1.09 tff(5177,plain,
% 1.04/1.09 (succ(s59, s60) <=> succ(s59, s60)),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5178,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 1.04/1.09 tff(5179,plain,
% 1.04/1.09 (succ(s59, s60)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5178, 5177])).
% 1.04/1.09 tff(5180,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5181,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5182,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5181, 5180])).
% 1.04/1.09 tff(5183,plain,
% 1.04/1.09 (trans(s59, s60)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5182, 5179, 32])).
% 1.04/1.09 tff(5184,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5185,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5186,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 1.04/1.09 tff(5187,plain,
% 1.04/1.09 (node14(s59, s60)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5186, 46, 5183])).
% 1.04/1.09 tff(5188,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5189,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5190,plain,
% 1.04/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2)),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5189, 5188])).
% 1.04/1.09 tff(5191,plain,
% 1.04/1.09 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | m_main_v_state2(s60, c_c2)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5190, 617, 5187])).
% 1.04/1.09 tff(5192,plain,
% 1.04/1.09 (m_main_v_state2(s60, c_c2)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5191, 5176, 5172, 5136, 5129, 5125])).
% 1.04/1.09 tff(5193,plain,
% 1.04/1.09 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5194,plain,
% 1.04/1.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5195,plain,
% 1.04/1.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 1.04/1.09 tff(5196,plain,
% 1.04/1.09 (~m_main_v_state2(s60, c_t2)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5195, 260, 5192])).
% 1.04/1.09 tff(5197,plain,
% 1.04/1.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 1.04/1.09 inference(rewrite,[status(thm)],[])).
% 1.04/1.09 tff(5198,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 1.04/1.09 inference(quant_inst,[status(thm)],[])).
% 1.04/1.09 tff(5199,plain,
% 1.04/1.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 1.04/1.09 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 1.04/1.09 tff(5200,plain,
% 1.04/1.09 (~node12(s60)),
% 1.04/1.09 inference(unit_resolution,[status(thm)],[5199, 633, 5196])).
% 1.04/1.09 tff(5201,plain,
% 1.04/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5202,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5203,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5202, 5201])).
% 1.04/1.10 tff(5204,plain,
% 1.04/1.10 (node7(s59, s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5203, 206, 5183])).
% 1.04/1.10 tff(5205,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5206,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5207,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5206, 5205])).
% 1.04/1.10 tff(5208,plain,
% 1.04/1.10 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5207, 651, 5204])).
% 1.04/1.10 tff(5209,plain,
% 1.04/1.10 (m_main_v_state1(s60, c_t1)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5208, 5136, 5172])).
% 1.04/1.10 tff(5210,plain,
% 1.04/1.10 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5211,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5212,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 1.04/1.10 tff(5213,plain,
% 1.04/1.10 (~m_main_v_state1(s60, c_n1)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5212, 10, 5209])).
% 1.04/1.10 tff(5214,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5215,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5216,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 1.04/1.10 tff(5217,plain,
% 1.04/1.10 (~node11(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5216, 238, 5213])).
% 1.04/1.10 tff(5218,plain,
% 1.04/1.10 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5219,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5220,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 1.04/1.10 tff(5221,plain,
% 1.04/1.10 (~m_main_v_state1(s60, c_c1)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5220, 539, 5209])).
% 1.04/1.10 tff(5222,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5223,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5224,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 1.04/1.10 tff(5225,plain,
% 1.04/1.10 (~node10(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5224, 675, 5221])).
% 1.04/1.10 tff(5226,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5227,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5228,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 1.04/1.10 tff(5229,plain,
% 1.04/1.10 (~node9(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5228, 686, 5213])).
% 1.04/1.10 tff(5230,plain,
% 1.04/1.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5231,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5232,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5231, 5230])).
% 1.04/1.10 tff(5233,plain,
% 1.04/1.10 (~m_main_v_state2(s60, c_n2)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5232, 697, 5192])).
% 1.04/1.10 tff(5234,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5235,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5236,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 1.04/1.10 tff(5237,plain,
% 1.04/1.10 (~node8(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5236, 271, 5233])).
% 1.04/1.10 tff(5238,plain,
% 1.04/1.10 (succ(s60, s61) <=> succ(s60, s61)),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5239,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 1.04/1.10 tff(5240,plain,
% 1.04/1.10 (succ(s60, s61)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 1.04/1.10 tff(5241,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5242,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5243,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5242, 5241])).
% 1.04/1.10 tff(5244,plain,
% 1.04/1.10 (trans(s60, s61)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5243, 5240, 32])).
% 1.04/1.10 tff(5245,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5246,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5247,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5246, 5245])).
% 1.04/1.10 tff(5248,plain,
% 1.04/1.10 (node14(s60, s61)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5247, 46, 5244])).
% 1.04/1.10 tff(5249,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5250,plain,
% 1.04/1.10 (((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2)) <=> (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5251,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2))))),
% 1.04/1.10 inference(monotonicity,[status(thm)],[5250])).
% 1.04/1.10 tff(5252,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 1.04/1.10 inference(transitivity,[status(thm)],[5251, 5249])).
% 1.04/1.10 tff(5253,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5254,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5253, 5252])).
% 1.04/1.10 tff(5255,plain,
% 1.04/1.10 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5254, 726, 5248])).
% 1.04/1.10 tff(5256,plain,
% 1.04/1.10 (m_main_v_state2(s61, c_n2)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5255, 5237, 5192, 5229, 5225, 5217, 5200])).
% 1.04/1.10 tff(5257,plain,
% 1.04/1.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5258,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5259,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 1.04/1.10 tff(5260,plain,
% 1.04/1.10 (~m_main_v_state2(s61, c_c2)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5259, 697, 5256])).
% 1.04/1.10 tff(5261,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5262,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5263,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 1.04/1.10 tff(5264,plain,
% 1.04/1.10 (~node3(s61)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5263, 399, 5260])).
% 1.04/1.10 tff(5265,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5266,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5267,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 1.04/1.10 tff(5268,plain,
% 1.04/1.10 (~node1(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5267, 421, 5213])).
% 1.04/1.10 tff(5269,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5270,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5271,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5270, 5269])).
% 1.04/1.10 tff(5272,plain,
% 1.04/1.10 (node18(s59, s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5271, 125, 5183])).
% 1.04/1.10 tff(5273,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5274,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5275,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 1.04/1.10 tff(5276,plain,
% 1.04/1.10 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5275, 760, 5272])).
% 1.04/1.10 tff(5277,plain,
% 1.04/1.10 (m_main_v_turn(s60, c_2)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5276, 5136, 5172])).
% 1.04/1.10 tff(5278,plain,
% 1.04/1.10 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5279,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5280,plain,
% 1.04/1.10 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 1.04/1.10 tff(5281,plain,
% 1.04/1.10 (~m_main_v_turn(s60, c_1)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5280, 156, 5277])).
% 1.04/1.10 tff(5282,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5283,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5284,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 1.04/1.10 tff(5285,plain,
% 1.04/1.10 (~node5(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5284, 776, 5281])).
% 1.04/1.10 tff(5286,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5287,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5288,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 1.04/1.10 tff(5289,plain,
% 1.04/1.10 (~node2(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5288, 787, 5213])).
% 1.04/1.10 tff(5290,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5291,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5292,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5291, 5290])).
% 1.04/1.10 tff(5293,plain,
% 1.04/1.10 (~node3(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5292, 798, 5213])).
% 1.04/1.10 tff(5294,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5295,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5296,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 1.04/1.10 tff(5297,plain,
% 1.04/1.10 (~node4(s60)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5296, 388, 5233])).
% 1.04/1.10 tff(5298,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5299,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5300,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 1.04/1.10 tff(5301,plain,
% 1.04/1.10 (node7(s60, s61)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5300, 206, 5244])).
% 1.04/1.10 tff(5302,plain,
% 1.04/1.10 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5303,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5304,plain,
% 1.04/1.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 1.04/1.10 tff(5305,plain,
% 1.04/1.10 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5304, 820, 5301])).
% 1.04/1.10 tff(5306,plain,
% 1.04/1.10 (node6(s60, s61)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5305, 5297, 5221, 5293, 5289, 5285, 5268])).
% 1.04/1.10 tff(5307,plain,
% 1.04/1.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5308,plain,
% 1.04/1.10 (((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1))) <=> (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5309,plain,
% 1.04/1.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))))),
% 1.04/1.10 inference(monotonicity,[status(thm)],[5308])).
% 1.04/1.10 tff(5310,plain,
% 1.04/1.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 1.04/1.10 inference(transitivity,[status(thm)],[5309, 5307])).
% 1.04/1.10 tff(5311,plain,
% 1.04/1.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5312,plain,
% 1.04/1.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 1.04/1.10 tff(5313,plain,
% 1.04/1.10 (~m_main_v_state1(s61, c_n1)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5312, 835, 5213, 5306])).
% 1.04/1.10 tff(5314,plain,
% 1.04/1.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5315,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5316,plain,
% 1.04/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5315, 5314])).
% 1.04/1.10 tff(5317,plain,
% 1.04/1.10 (~node2(s61)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5316, 787, 5313])).
% 1.04/1.10 tff(5318,plain,
% 1.04/1.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5319,plain,
% 1.04/1.10 (((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1)) <=> ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 1.04/1.10 inference(rewrite,[status(thm)],[])).
% 1.04/1.10 tff(5320,plain,
% 1.04/1.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))))),
% 1.04/1.10 inference(monotonicity,[status(thm)],[5319])).
% 1.04/1.10 tff(5321,plain,
% 1.04/1.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 1.04/1.10 inference(transitivity,[status(thm)],[5320, 5318])).
% 1.04/1.10 tff(5322,plain,
% 1.04/1.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))),
% 1.04/1.10 inference(quant_inst,[status(thm)],[])).
% 1.04/1.10 tff(5323,plain,
% 1.04/1.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))),
% 1.04/1.10 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 1.04/1.10 tff(5324,plain,
% 1.04/1.10 (m_main_v_state1(s61, c_t1)),
% 1.04/1.10 inference(unit_resolution,[status(thm)],[5323, 856, 5209, 5306])).
% 1.04/1.10 tff(5325,plain,
% 1.04/1.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5326,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5327,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 1.04/1.11 tff(5328,plain,
% 1.04/1.11 (~m_main_v_state2(s61, c_t2)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5327, 77, 5256])).
% 1.04/1.11 tff(5329,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5330,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5331,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 1.04/1.11 tff(5332,plain,
% 1.04/1.11 (~node1(s61)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5331, 195, 5328])).
% 1.04/1.11 tff(5333,plain,
% 1.04/1.11 (succ(s61, s62) <=> succ(s61, s62)),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5334,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 1.04/1.11 tff(5335,plain,
% 1.04/1.11 (succ(s61, s62)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5334, 5333])).
% 1.04/1.11 tff(5336,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5337,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5338,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 1.04/1.11 tff(5339,plain,
% 1.04/1.11 (trans(s61, s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5338, 5335, 32])).
% 1.04/1.11 tff(5340,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5341,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5342,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5341, 5340])).
% 1.04/1.11 tff(5343,plain,
% 1.04/1.11 (node7(s61, s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5342, 206, 5339])).
% 1.04/1.11 tff(5344,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5345,plain,
% 1.04/1.11 (((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1)) <=> ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5346,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62))))),
% 1.04/1.11 inference(monotonicity,[status(thm)],[5345])).
% 1.04/1.11 tff(5347,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 1.04/1.11 inference(transitivity,[status(thm)],[5346, 5344])).
% 1.04/1.11 tff(5348,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5349,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 1.04/1.11 tff(5350,plain,
% 1.04/1.11 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5349, 892, 5343])).
% 1.04/1.11 tff(5351,plain,
% 1.04/1.11 (m_main_v_state1(s62, c_c1)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5350, 5332, 5256, 5324, 5317, 5264])).
% 1.04/1.11 tff(5352,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5353,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5354,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 1.04/1.11 tff(5355,plain,
% 1.04/1.11 (~m_main_v_state1(s62, c_t1)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5354, 539, 5351])).
% 1.04/1.11 tff(5356,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5357,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5358,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 1.04/1.11 tff(5359,plain,
% 1.04/1.11 (~node5(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5358, 550, 5355])).
% 1.04/1.11 tff(5360,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5361,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5362,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 1.04/1.11 tff(5363,plain,
% 1.04/1.11 (node14(s61, s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5362, 46, 5339])).
% 1.04/1.11 tff(5364,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5365,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5366,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 1.04/1.11 tff(5367,plain,
% 1.04/1.11 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5366, 922, 5363])).
% 1.04/1.11 tff(5368,plain,
% 1.04/1.11 (m_main_v_state2(s62, c_t2)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5367, 5324, 5256])).
% 1.04/1.11 tff(5369,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5370,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5371,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5370, 5369])).
% 1.04/1.11 tff(5372,plain,
% 1.04/1.11 (~m_main_v_state2(s62, c_n2)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5371, 77, 5368])).
% 1.04/1.11 tff(5373,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5374,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5375,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5374, 5373])).
% 1.04/1.11 tff(5376,plain,
% 1.04/1.11 (~node4(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5375, 388, 5372])).
% 1.04/1.11 tff(5377,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5378,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5379,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5378, 5377])).
% 1.04/1.11 tff(5380,plain,
% 1.04/1.11 (~m_main_v_state2(s62, c_c2)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5379, 260, 5368])).
% 1.04/1.11 tff(5381,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5382,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5383,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 1.04/1.11 tff(5384,plain,
% 1.04/1.11 (~node3(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5383, 399, 5380])).
% 1.04/1.11 tff(5385,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5386,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5387,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 1.04/1.11 tff(5388,plain,
% 1.04/1.11 (~node2(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5387, 410, 5372])).
% 1.04/1.11 tff(5389,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5390,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5391,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 1.04/1.11 tff(5392,plain,
% 1.04/1.11 (~m_main_v_state1(s62, c_n1)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5391, 454, 5351])).
% 1.04/1.11 tff(5393,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5394,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5395,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5394, 5393])).
% 1.04/1.11 tff(5396,plain,
% 1.04/1.11 (~node1(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5395, 421, 5392])).
% 1.04/1.11 tff(5397,plain,
% 1.04/1.11 (succ(s62, s63) <=> succ(s62, s63)),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5398,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 1.04/1.11 tff(5399,plain,
% 1.04/1.11 (succ(s62, s63)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 1.04/1.11 tff(5400,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5401,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5402,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5401, 5400])).
% 1.04/1.11 tff(5403,plain,
% 1.04/1.11 (trans(s62, s63)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5402, 5399, 32])).
% 1.04/1.11 tff(5404,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5405,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5406,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5405, 5404])).
% 1.04/1.11 tff(5407,plain,
% 1.04/1.11 (node7(s62, s63)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5406, 206, 5403])).
% 1.04/1.11 tff(5408,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5409,plain,
% 1.04/1.11 (((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1)) <=> (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5410,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))))),
% 1.04/1.11 inference(monotonicity,[status(thm)],[5409])).
% 1.04/1.11 tff(5411,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 1.04/1.11 inference(transitivity,[status(thm)],[5410, 5408])).
% 1.04/1.11 tff(5412,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5413,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 1.04/1.11 tff(5414,plain,
% 1.04/1.11 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5413, 584, 5407])).
% 1.04/1.11 tff(5415,plain,
% 1.04/1.11 (m_main_v_state1(s63, c_n1)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5414, 5396, 5351, 5388, 5384, 5376, 5359])).
% 1.04/1.11 tff(5416,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5417,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5418,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state1(s63, c_t1))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 1.04/1.11 tff(5419,plain,
% 1.04/1.11 (~m_main_v_state1(s63, c_t1)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5418, 10, 5415])).
% 1.04/1.11 tff(5420,plain,
% 1.04/1.11 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node20(X))) <=> (m_main_v_state1(X, c_t1) | (~node20(X))))),
% 1.04/1.11 inference(bind,[status(th)],[])).
% 1.04/1.11 tff(5421,plain,
% 1.04/1.11 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.04/1.11 inference(quant_intro,[status(thm)],[5420])).
% 1.04/1.11 tff(5422,plain,
% 1.04/1.11 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5423,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty4')).
% 1.04/1.11 tff(5424,plain,
% 1.04/1.11 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5423, 5422])).
% 1.04/1.11 tff(5425,plain,(
% 1.04/1.11 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.04/1.11 inference(skolemize,[status(sab)],[5424])).
% 1.04/1.11 tff(5426,plain,
% 1.04/1.11 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5425, 5421])).
% 1.04/1.11 tff(5427,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s63, c_t1) | (~node20(s63)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s63, c_t1) | (~node20(s63)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5428,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s63, c_t1) | (~node20(s63)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5429,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s63, c_t1) | (~node20(s63))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5428, 5427])).
% 1.04/1.11 tff(5430,plain,
% 1.04/1.11 (~node20(s63)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5429, 5426, 5419])).
% 1.04/1.11 tff(5431,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s62)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s62)) | (~m_main_v_state1(s62, c_c1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5432,plain,
% 1.04/1.11 (((~m_main_v_state1(s62, c_c1)) | (~always19(s62))) <=> ((~always19(s62)) | (~m_main_v_state1(s62, c_c1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5433,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s62, c_c1)) | (~always19(s62)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s62)) | (~m_main_v_state1(s62, c_c1))))),
% 1.04/1.11 inference(monotonicity,[status(thm)],[5432])).
% 1.04/1.11 tff(5434,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s62, c_c1)) | (~always19(s62)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s62)) | (~m_main_v_state1(s62, c_c1)))),
% 1.04/1.11 inference(transitivity,[status(thm)],[5433, 5431])).
% 1.04/1.11 tff(5435,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s62, c_c1)) | (~always19(s62)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5436,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s62)) | (~m_main_v_state1(s62, c_c1))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5435, 5434])).
% 1.04/1.11 tff(5437,plain,
% 1.04/1.11 (~always19(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5436, 4067, 5351])).
% 1.04/1.11 tff(5438,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s61, s62)) | (~always19(s61)) | always19(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s61, s62)) | (~always19(s61)) | always19(s62))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5439,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s61, s62)) | (~always19(s61)) | always19(s62))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5440,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s61, s62)) | (~always19(s61)) | always19(s62)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5439, 5438])).
% 1.04/1.11 tff(5441,plain,
% 1.04/1.11 ((~always19(s61)) | always19(s62)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5440, 4084, 5339])).
% 1.04/1.11 tff(5442,plain,
% 1.04/1.11 (~always19(s61)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5441, 5437])).
% 1.04/1.11 tff(5443,plain,
% 1.04/1.11 (^[X: $i] : refl((always19(X) | (~node20(X))) <=> (always19(X) | (~node20(X))))),
% 1.04/1.11 inference(bind,[status(th)],[])).
% 1.04/1.11 tff(5444,plain,
% 1.04/1.11 (![X: $i] : (always19(X) | (~node20(X))) <=> ![X: $i] : (always19(X) | (~node20(X)))),
% 1.04/1.11 inference(quant_intro,[status(thm)],[5443])).
% 1.04/1.11 tff(5445,plain,
% 1.04/1.11 (![X: $i] : (always19(X) | (~node20(X))) <=> ![X: $i] : (always19(X) | (~node20(X)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5446,axiom,(![X: $i] : (always19(X) | (~node20(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty5')).
% 1.04/1.11 tff(5447,plain,
% 1.04/1.11 (![X: $i] : (always19(X) | (~node20(X)))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 1.04/1.11 tff(5448,plain,(
% 1.04/1.11 ![X: $i] : (always19(X) | (~node20(X)))),
% 1.04/1.11 inference(skolemize,[status(sab)],[5447])).
% 1.04/1.11 tff(5449,plain,
% 1.04/1.11 (![X: $i] : (always19(X) | (~node20(X)))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5448, 5444])).
% 1.04/1.11 tff(5450,plain,
% 1.04/1.11 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s61) | (~node20(s61)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s61) | (~node20(s61)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5451,plain,
% 1.04/1.11 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s61) | (~node20(s61)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5452,plain,
% 1.04/1.11 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s61) | (~node20(s61))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 1.04/1.11 tff(5453,plain,
% 1.04/1.11 (~node20(s61)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5452, 5449, 5442])).
% 1.04/1.11 tff(5454,plain,
% 1.04/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s60, s61)) | (~always19(s60)) | always19(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s60, s61)) | (~always19(s60)) | always19(s61))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5455,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s60, s61)) | (~always19(s60)) | always19(s61))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5456,plain,
% 1.04/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s60, s61)) | (~always19(s60)) | always19(s61)),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5455, 5454])).
% 1.04/1.11 tff(5457,plain,
% 1.04/1.11 ((~always19(s60)) | always19(s61)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5456, 4084, 5244])).
% 1.04/1.11 tff(5458,plain,
% 1.04/1.11 (~always19(s60)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5457, 5442])).
% 1.04/1.11 tff(5459,plain,
% 1.04/1.11 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s60) | (~node20(s60)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s60) | (~node20(s60)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5460,plain,
% 1.04/1.11 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s60) | (~node20(s60)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5461,plain,
% 1.04/1.11 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s60) | (~node20(s60))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 1.04/1.11 tff(5462,plain,
% 1.04/1.11 (~node20(s60)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5461, 5449, 5458])).
% 1.04/1.11 tff(5463,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5464,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5465,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state1(s59, c_t1))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 1.04/1.11 tff(5466,plain,
% 1.04/1.11 (~m_main_v_state1(s59, c_t1)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5465, 10, 5172])).
% 1.04/1.11 tff(5467,plain,
% 1.04/1.11 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s59, c_t1) | (~node20(s59)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s59, c_t1) | (~node20(s59)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5468,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s59, c_t1) | (~node20(s59)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5469,plain,
% 1.04/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s59, c_t1) | (~node20(s59))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 1.04/1.11 tff(5470,plain,
% 1.04/1.11 (~node20(s59)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5469, 5426, 5466])).
% 1.04/1.11 tff(5471,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s58)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s58)) | (~m_main_v_state1(s58, c_c1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5472,plain,
% 1.04/1.11 (((~m_main_v_state1(s58, c_c1)) | (~always19(s58))) <=> ((~always19(s58)) | (~m_main_v_state1(s58, c_c1)))),
% 1.04/1.11 inference(rewrite,[status(thm)],[])).
% 1.04/1.11 tff(5473,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s58, c_c1)) | (~always19(s58)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s58)) | (~m_main_v_state1(s58, c_c1))))),
% 1.04/1.11 inference(monotonicity,[status(thm)],[5472])).
% 1.04/1.11 tff(5474,plain,
% 1.04/1.11 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s58, c_c1)) | (~always19(s58)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s58)) | (~m_main_v_state1(s58, c_c1)))),
% 1.04/1.11 inference(transitivity,[status(thm)],[5473, 5471])).
% 1.04/1.11 tff(5475,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s58, c_c1)) | (~always19(s58)))),
% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(5476,plain,
% 1.04/1.11 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s58)) | (~m_main_v_state1(s58, c_c1))),
% 1.04/1.11 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 1.04/1.11 tff(5477,plain,
% 1.04/1.11 (~always19(s58)),
% 1.04/1.11 inference(unit_resolution,[status(thm)],[5476, 4067, 5090])).
% 1.04/1.12 tff(5478,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s57, s58)) | (~always19(s57)) | always19(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s57, s58)) | (~always19(s57)) | always19(s58))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5479,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s57, s58)) | (~always19(s57)) | always19(s58))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5480,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s57, s58)) | (~always19(s57)) | always19(s58)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 1.04/1.12 tff(5481,plain,
% 1.04/1.12 ((~always19(s57)) | always19(s58)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5480, 4084, 5006])).
% 1.04/1.12 tff(5482,plain,
% 1.04/1.12 (~always19(s57)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5481, 5477])).
% 1.04/1.12 tff(5483,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s57) | (~node20(s57)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s57) | (~node20(s57)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5484,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s57) | (~node20(s57)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5485,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s57) | (~node20(s57))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5484, 5483])).
% 1.04/1.12 tff(5486,plain,
% 1.04/1.12 (~node20(s57)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5485, 5449, 5482])).
% 1.04/1.12 tff(5487,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s56, s57)) | (~always19(s56)) | always19(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s56, s57)) | (~always19(s56)) | always19(s57))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5488,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s56, s57)) | (~always19(s56)) | always19(s57))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5489,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s56, s57)) | (~always19(s56)) | always19(s57)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5488, 5487])).
% 1.04/1.12 tff(5490,plain,
% 1.04/1.12 ((~always19(s56)) | always19(s57)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5489, 4084, 4939])).
% 1.04/1.12 tff(5491,plain,
% 1.04/1.12 (~always19(s56)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5490, 5482])).
% 1.04/1.12 tff(5492,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s56) | (~node20(s56)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s56) | (~node20(s56)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5493,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s56) | (~node20(s56)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5494,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s56) | (~node20(s56))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5493, 5492])).
% 1.04/1.12 tff(5495,plain,
% 1.04/1.12 (~node20(s56)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5494, 5449, 5491])).
% 1.04/1.12 tff(5496,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5497,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5498,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state1(s55, c_t1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5497, 5496])).
% 1.04/1.12 tff(5499,plain,
% 1.04/1.12 (~m_main_v_state1(s55, c_t1)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5498, 10, 4787])).
% 1.04/1.12 tff(5500,plain,
% 1.04/1.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s55, c_t1) | (~node20(s55)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s55, c_t1) | (~node20(s55)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5501,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s55, c_t1) | (~node20(s55)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5502,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s55, c_t1) | (~node20(s55))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 1.04/1.12 tff(5503,plain,
% 1.04/1.12 (~node20(s55)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5502, 5426, 5499])).
% 1.04/1.12 tff(5504,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s54)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s54)) | (~m_main_v_state1(s54, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5505,plain,
% 1.04/1.12 (((~m_main_v_state1(s54, c_c1)) | (~always19(s54))) <=> ((~always19(s54)) | (~m_main_v_state1(s54, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5506,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s54, c_c1)) | (~always19(s54)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s54)) | (~m_main_v_state1(s54, c_c1))))),
% 1.04/1.12 inference(monotonicity,[status(thm)],[5505])).
% 1.04/1.12 tff(5507,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s54, c_c1)) | (~always19(s54)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s54)) | (~m_main_v_state1(s54, c_c1)))),
% 1.04/1.12 inference(transitivity,[status(thm)],[5506, 5504])).
% 1.04/1.12 tff(5508,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s54, c_c1)) | (~always19(s54)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5509,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s54)) | (~m_main_v_state1(s54, c_c1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 1.04/1.12 tff(5510,plain,
% 1.04/1.12 (~always19(s54)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5509, 4067, 4723])).
% 1.04/1.12 tff(5511,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s53, s54)) | (~always19(s53)) | always19(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s53, s54)) | (~always19(s53)) | always19(s54))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5512,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s53, s54)) | (~always19(s53)) | always19(s54))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5513,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s53, s54)) | (~always19(s53)) | always19(s54)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 1.04/1.12 tff(5514,plain,
% 1.04/1.12 ((~always19(s53)) | always19(s54)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5513, 4084, 4711])).
% 1.04/1.12 tff(5515,plain,
% 1.04/1.12 (~always19(s53)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5514, 5510])).
% 1.04/1.12 tff(5516,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s53) | (~node20(s53)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s53) | (~node20(s53)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5517,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s53) | (~node20(s53)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5518,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s53) | (~node20(s53))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5517, 5516])).
% 1.04/1.12 tff(5519,plain,
% 1.04/1.12 (~node20(s53)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5518, 5449, 5515])).
% 1.04/1.12 tff(5520,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s52, s53)) | (~always19(s52)) | always19(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s52, s53)) | (~always19(s52)) | always19(s53))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5521,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s52, s53)) | (~always19(s52)) | always19(s53))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5522,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s52, s53)) | (~always19(s52)) | always19(s53)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 1.04/1.12 tff(5523,plain,
% 1.04/1.12 ((~always19(s52)) | always19(s53)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5522, 4084, 4616])).
% 1.04/1.12 tff(5524,plain,
% 1.04/1.12 (~always19(s52)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5523, 5515])).
% 1.04/1.12 tff(5525,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s52) | (~node20(s52)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s52) | (~node20(s52)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5526,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s52) | (~node20(s52)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5527,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s52) | (~node20(s52))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5526, 5525])).
% 1.04/1.12 tff(5528,plain,
% 1.04/1.12 (~node20(s52)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5527, 5449, 5524])).
% 1.04/1.12 tff(5529,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5530,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5531,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state1(s51, c_t1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5530, 5529])).
% 1.04/1.12 tff(5532,plain,
% 1.04/1.12 (~m_main_v_state1(s51, c_t1)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5531, 10, 4544])).
% 1.04/1.12 tff(5533,plain,
% 1.04/1.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s51, c_t1) | (~node20(s51)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s51, c_t1) | (~node20(s51)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5534,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s51, c_t1) | (~node20(s51)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5535,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s51, c_t1) | (~node20(s51))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 1.04/1.12 tff(5536,plain,
% 1.04/1.12 (~node20(s51)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5535, 5426, 5532])).
% 1.04/1.12 tff(5537,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s50)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s50)) | (~m_main_v_state1(s50, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5538,plain,
% 1.04/1.12 (((~m_main_v_state1(s50, c_c1)) | (~always19(s50))) <=> ((~always19(s50)) | (~m_main_v_state1(s50, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5539,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s50, c_c1)) | (~always19(s50)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s50)) | (~m_main_v_state1(s50, c_c1))))),
% 1.04/1.12 inference(monotonicity,[status(thm)],[5538])).
% 1.04/1.12 tff(5540,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s50, c_c1)) | (~always19(s50)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s50)) | (~m_main_v_state1(s50, c_c1)))),
% 1.04/1.12 inference(transitivity,[status(thm)],[5539, 5537])).
% 1.04/1.12 tff(5541,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s50, c_c1)) | (~always19(s50)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5542,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s50)) | (~m_main_v_state1(s50, c_c1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 1.04/1.12 tff(5543,plain,
% 1.04/1.12 (~always19(s50)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5542, 4067, 4462])).
% 1.04/1.12 tff(5544,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s49, s50)) | (~always19(s49)) | always19(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s49, s50)) | (~always19(s49)) | always19(s50))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5545,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s49, s50)) | (~always19(s49)) | always19(s50))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5546,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s49, s50)) | (~always19(s49)) | always19(s50)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5545, 5544])).
% 1.04/1.12 tff(5547,plain,
% 1.04/1.12 ((~always19(s49)) | always19(s50)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5546, 4084, 4378])).
% 1.04/1.12 tff(5548,plain,
% 1.04/1.12 (~always19(s49)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5547, 5543])).
% 1.04/1.12 tff(5549,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s49) | (~node20(s49)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s49) | (~node20(s49)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5550,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s49) | (~node20(s49)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5551,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s49) | (~node20(s49))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 1.04/1.12 tff(5552,plain,
% 1.04/1.12 (~node20(s49)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5551, 5449, 5548])).
% 1.04/1.12 tff(5553,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s48, s49)) | (~always19(s48)) | always19(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s48, s49)) | (~always19(s48)) | always19(s49))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5554,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s48, s49)) | (~always19(s48)) | always19(s49))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5555,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s48, s49)) | (~always19(s48)) | always19(s49)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 1.04/1.12 tff(5556,plain,
% 1.04/1.12 ((~always19(s48)) | always19(s49)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5555, 4084, 4311])).
% 1.04/1.12 tff(5557,plain,
% 1.04/1.12 (~always19(s48)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5556, 5548])).
% 1.04/1.12 tff(5558,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s48) | (~node20(s48)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s48) | (~node20(s48)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5559,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s48) | (~node20(s48)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5560,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s48) | (~node20(s48))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5559, 5558])).
% 1.04/1.12 tff(5561,plain,
% 1.04/1.12 (~node20(s48)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5560, 5449, 5557])).
% 1.04/1.12 tff(5562,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5563,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5564,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state1(s47, c_t1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 1.04/1.12 tff(5565,plain,
% 1.04/1.12 (~m_main_v_state1(s47, c_t1)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5564, 10, 4159])).
% 1.04/1.12 tff(5566,plain,
% 1.04/1.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s47, c_t1) | (~node20(s47)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s47, c_t1) | (~node20(s47)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5567,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s47, c_t1) | (~node20(s47)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5568,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s47, c_t1) | (~node20(s47))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5567, 5566])).
% 1.04/1.12 tff(5569,plain,
% 1.04/1.12 (~node20(s47)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5568, 5426, 5565])).
% 1.04/1.12 tff(5570,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s45) | (~node20(s45)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s45) | (~node20(s45)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5571,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s45) | (~node20(s45)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5572,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s45) | (~node20(s45))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 1.04/1.12 tff(5573,plain,
% 1.04/1.12 (~node20(s45)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5572, 5449, 4089])).
% 1.04/1.12 tff(5574,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s44) | (~node20(s44)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s44) | (~node20(s44)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5575,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s44) | (~node20(s44)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5576,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s44) | (~node20(s44))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 1.04/1.12 tff(5577,plain,
% 1.04/1.12 (~node20(s44)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5576, 5449, 4094])).
% 1.04/1.12 tff(5578,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5579,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5580,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state1(s43, c_t1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 1.04/1.12 tff(5581,plain,
% 1.04/1.12 (~m_main_v_state1(s43, c_t1)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5580, 10, 3881])).
% 1.04/1.12 tff(5582,plain,
% 1.04/1.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s43, c_t1) | (~node20(s43)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s43, c_t1) | (~node20(s43)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5583,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s43, c_t1) | (~node20(s43)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5584,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s43, c_t1) | (~node20(s43))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 1.04/1.12 tff(5585,plain,
% 1.04/1.12 (~node20(s43)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5584, 5426, 5581])).
% 1.04/1.12 tff(5586,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s42)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s42)) | (~m_main_v_state1(s42, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5587,plain,
% 1.04/1.12 (((~m_main_v_state1(s42, c_c1)) | (~always19(s42))) <=> ((~always19(s42)) | (~m_main_v_state1(s42, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5588,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s42, c_c1)) | (~always19(s42)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s42)) | (~m_main_v_state1(s42, c_c1))))),
% 1.04/1.12 inference(monotonicity,[status(thm)],[5587])).
% 1.04/1.12 tff(5589,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s42, c_c1)) | (~always19(s42)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s42)) | (~m_main_v_state1(s42, c_c1)))),
% 1.04/1.12 inference(transitivity,[status(thm)],[5588, 5586])).
% 1.04/1.12 tff(5590,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s42, c_c1)) | (~always19(s42)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5591,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s42)) | (~m_main_v_state1(s42, c_c1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 1.04/1.12 tff(5592,plain,
% 1.04/1.12 (~always19(s42)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5591, 4067, 3799])).
% 1.04/1.12 tff(5593,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s41, s42)) | (~always19(s41)) | always19(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s41, s42)) | (~always19(s41)) | always19(s42))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5594,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s41, s42)) | (~always19(s41)) | always19(s42))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5595,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s41, s42)) | (~always19(s41)) | always19(s42)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 1.04/1.12 tff(5596,plain,
% 1.04/1.12 ((~always19(s41)) | always19(s42)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5595, 4084, 3715])).
% 1.04/1.12 tff(5597,plain,
% 1.04/1.12 (~always19(s41)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5596, 5592])).
% 1.04/1.12 tff(5598,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s41) | (~node20(s41)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s41) | (~node20(s41)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5599,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s41) | (~node20(s41)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5600,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s41) | (~node20(s41))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 1.04/1.12 tff(5601,plain,
% 1.04/1.12 (~node20(s41)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5600, 5449, 5597])).
% 1.04/1.12 tff(5602,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s40, s41)) | (~always19(s40)) | always19(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s40, s41)) | (~always19(s40)) | always19(s41))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5603,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s40, s41)) | (~always19(s40)) | always19(s41))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5604,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s40, s41)) | (~always19(s40)) | always19(s41)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 1.04/1.12 tff(5605,plain,
% 1.04/1.12 ((~always19(s40)) | always19(s41)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5604, 4084, 3648])).
% 1.04/1.12 tff(5606,plain,
% 1.04/1.12 (~always19(s40)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5605, 5597])).
% 1.04/1.12 tff(5607,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s40) | (~node20(s40)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s40) | (~node20(s40)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5608,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s40) | (~node20(s40)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5609,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s40) | (~node20(s40))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 1.04/1.12 tff(5610,plain,
% 1.04/1.12 (~node20(s40)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5609, 5449, 5606])).
% 1.04/1.12 tff(5611,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5612,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5613,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state1(s39, c_t1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5612, 5611])).
% 1.04/1.12 tff(5614,plain,
% 1.04/1.12 (~m_main_v_state1(s39, c_t1)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5613, 10, 3496])).
% 1.04/1.12 tff(5615,plain,
% 1.04/1.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s39, c_t1) | (~node20(s39)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s39, c_t1) | (~node20(s39)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5616,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s39, c_t1) | (~node20(s39)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5617,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s39, c_t1) | (~node20(s39))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 1.04/1.12 tff(5618,plain,
% 1.04/1.12 (~node20(s39)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5617, 5426, 5614])).
% 1.04/1.12 tff(5619,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s38)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s38)) | (~m_main_v_state1(s38, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5620,plain,
% 1.04/1.12 (((~m_main_v_state1(s38, c_c1)) | (~always19(s38))) <=> ((~always19(s38)) | (~m_main_v_state1(s38, c_c1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5621,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s38, c_c1)) | (~always19(s38)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s38)) | (~m_main_v_state1(s38, c_c1))))),
% 1.04/1.12 inference(monotonicity,[status(thm)],[5620])).
% 1.04/1.12 tff(5622,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s38, c_c1)) | (~always19(s38)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s38)) | (~m_main_v_state1(s38, c_c1)))),
% 1.04/1.12 inference(transitivity,[status(thm)],[5621, 5619])).
% 1.04/1.12 tff(5623,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s38, c_c1)) | (~always19(s38)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5624,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s38)) | (~m_main_v_state1(s38, c_c1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5623, 5622])).
% 1.04/1.12 tff(5625,plain,
% 1.04/1.12 (~always19(s38)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5624, 4067, 3432])).
% 1.04/1.12 tff(5626,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s37, s38)) | (~always19(s37)) | always19(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s37, s38)) | (~always19(s37)) | always19(s38))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5627,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s37, s38)) | (~always19(s37)) | always19(s38))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5628,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s37, s38)) | (~always19(s37)) | always19(s38)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 1.04/1.12 tff(5629,plain,
% 1.04/1.12 ((~always19(s37)) | always19(s38)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5628, 4084, 3420])).
% 1.04/1.12 tff(5630,plain,
% 1.04/1.12 (~always19(s37)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5629, 5625])).
% 1.04/1.12 tff(5631,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s37) | (~node20(s37)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s37) | (~node20(s37)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5632,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s37) | (~node20(s37)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5633,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s37) | (~node20(s37))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5632, 5631])).
% 1.04/1.12 tff(5634,plain,
% 1.04/1.12 (~node20(s37)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5633, 5449, 5630])).
% 1.04/1.12 tff(5635,plain,
% 1.04/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s36, s37)) | (~always19(s36)) | always19(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s36, s37)) | (~always19(s36)) | always19(s37))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5636,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s36, s37)) | (~always19(s36)) | always19(s37))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5637,plain,
% 1.04/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s36, s37)) | (~always19(s36)) | always19(s37)),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 1.04/1.12 tff(5638,plain,
% 1.04/1.12 ((~always19(s36)) | always19(s37)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5637, 4084, 3325])).
% 1.04/1.12 tff(5639,plain,
% 1.04/1.12 (~always19(s36)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5638, 5630])).
% 1.04/1.12 tff(5640,plain,
% 1.04/1.12 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s36) | (~node20(s36)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s36) | (~node20(s36)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5641,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s36) | (~node20(s36)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5642,plain,
% 1.04/1.12 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s36) | (~node20(s36))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5641, 5640])).
% 1.04/1.12 tff(5643,plain,
% 1.04/1.12 (~node20(s36)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5642, 5449, 5639])).
% 1.04/1.12 tff(5644,plain,
% 1.04/1.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5645,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1)))),
% 1.04/1.12 inference(quant_inst,[status(thm)],[])).
% 1.04/1.12 tff(5646,plain,
% 1.04/1.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state1(s35, c_t1))),
% 1.04/1.12 inference(modus_ponens,[status(thm)],[5645, 5644])).
% 1.04/1.12 tff(5647,plain,
% 1.04/1.12 (~m_main_v_state1(s35, c_t1)),
% 1.04/1.12 inference(unit_resolution,[status(thm)],[5646, 10, 3253])).
% 1.04/1.12 tff(5648,plain,
% 1.04/1.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s35, c_t1) | (~node20(s35)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s35, c_t1) | (~node20(s35)))),
% 1.04/1.12 inference(rewrite,[status(thm)],[])).
% 1.04/1.12 tff(5649,plain,
% 1.04/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s35, c_t1) | (~node20(s35)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5650,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s35, c_t1) | (~node20(s35))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 1.04/1.13 tff(5651,plain,
% 1.04/1.13 (~node20(s35)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5650, 5426, 5647])).
% 1.04/1.13 tff(5652,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s34)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s34)) | (~m_main_v_state1(s34, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5653,plain,
% 1.04/1.13 (((~m_main_v_state1(s34, c_c1)) | (~always19(s34))) <=> ((~always19(s34)) | (~m_main_v_state1(s34, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5654,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s34, c_c1)) | (~always19(s34)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s34)) | (~m_main_v_state1(s34, c_c1))))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[5653])).
% 1.04/1.13 tff(5655,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s34, c_c1)) | (~always19(s34)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s34)) | (~m_main_v_state1(s34, c_c1)))),
% 1.04/1.13 inference(transitivity,[status(thm)],[5654, 5652])).
% 1.04/1.13 tff(5656,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s34, c_c1)) | (~always19(s34)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5657,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s34)) | (~m_main_v_state1(s34, c_c1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5656, 5655])).
% 1.04/1.13 tff(5658,plain,
% 1.04/1.13 (~always19(s34)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5657, 4067, 3171])).
% 1.04/1.13 tff(5659,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s33, s34)) | (~always19(s33)) | always19(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s33, s34)) | (~always19(s33)) | always19(s34))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5660,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s33, s34)) | (~always19(s33)) | always19(s34))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5661,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s33, s34)) | (~always19(s33)) | always19(s34)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5660, 5659])).
% 1.04/1.13 tff(5662,plain,
% 1.04/1.13 ((~always19(s33)) | always19(s34)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5661, 4084, 3087])).
% 1.04/1.13 tff(5663,plain,
% 1.04/1.13 (~always19(s33)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5662, 5658])).
% 1.04/1.13 tff(5664,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s33) | (~node20(s33)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s33) | (~node20(s33)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5665,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s33) | (~node20(s33)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5666,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s33) | (~node20(s33))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 1.04/1.13 tff(5667,plain,
% 1.04/1.13 (~node20(s33)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5666, 5449, 5663])).
% 1.04/1.13 tff(5668,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s32, s33)) | (~always19(s32)) | always19(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s32, s33)) | (~always19(s32)) | always19(s33))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5669,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s32, s33)) | (~always19(s32)) | always19(s33))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5670,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s32, s33)) | (~always19(s32)) | always19(s33)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 1.04/1.13 tff(5671,plain,
% 1.04/1.13 ((~always19(s32)) | always19(s33)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5670, 4084, 3020])).
% 1.04/1.13 tff(5672,plain,
% 1.04/1.13 (~always19(s32)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5671, 5663])).
% 1.04/1.13 tff(5673,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s32) | (~node20(s32)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s32) | (~node20(s32)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5674,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s32) | (~node20(s32)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5675,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s32) | (~node20(s32))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5674, 5673])).
% 1.04/1.13 tff(5676,plain,
% 1.04/1.13 (~node20(s32)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5675, 5449, 5672])).
% 1.04/1.13 tff(5677,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5678,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5679,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state1(s31, c_t1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 1.04/1.13 tff(5680,plain,
% 1.04/1.13 (~m_main_v_state1(s31, c_t1)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5679, 10, 2868])).
% 1.04/1.13 tff(5681,plain,
% 1.04/1.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s31, c_t1) | (~node20(s31)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s31, c_t1) | (~node20(s31)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5682,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s31, c_t1) | (~node20(s31)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5683,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s31, c_t1) | (~node20(s31))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5682, 5681])).
% 1.04/1.13 tff(5684,plain,
% 1.04/1.13 (~node20(s31)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5683, 5426, 5680])).
% 1.04/1.13 tff(5685,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s30)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s30)) | (~m_main_v_state1(s30, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5686,plain,
% 1.04/1.13 (((~m_main_v_state1(s30, c_c1)) | (~always19(s30))) <=> ((~always19(s30)) | (~m_main_v_state1(s30, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5687,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s30, c_c1)) | (~always19(s30)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s30)) | (~m_main_v_state1(s30, c_c1))))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[5686])).
% 1.04/1.13 tff(5688,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s30, c_c1)) | (~always19(s30)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s30)) | (~m_main_v_state1(s30, c_c1)))),
% 1.04/1.13 inference(transitivity,[status(thm)],[5687, 5685])).
% 1.04/1.13 tff(5689,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s30, c_c1)) | (~always19(s30)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5690,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s30)) | (~m_main_v_state1(s30, c_c1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 1.04/1.13 tff(5691,plain,
% 1.04/1.13 (~always19(s30)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5690, 4067, 2804])).
% 1.04/1.13 tff(5692,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s29, s30)) | (~always19(s29)) | always19(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s29, s30)) | (~always19(s29)) | always19(s30))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5693,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s29, s30)) | (~always19(s29)) | always19(s30))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5694,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s29, s30)) | (~always19(s29)) | always19(s30)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 1.04/1.13 tff(5695,plain,
% 1.04/1.13 ((~always19(s29)) | always19(s30)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5694, 4084, 2792])).
% 1.04/1.13 tff(5696,plain,
% 1.04/1.13 (~always19(s29)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5695, 5691])).
% 1.04/1.13 tff(5697,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s29) | (~node20(s29)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s29) | (~node20(s29)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5698,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s29) | (~node20(s29)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5699,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s29) | (~node20(s29))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5698, 5697])).
% 1.04/1.13 tff(5700,plain,
% 1.04/1.13 (~node20(s29)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5699, 5449, 5696])).
% 1.04/1.13 tff(5701,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s28, s29)) | (~always19(s28)) | always19(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s28, s29)) | (~always19(s28)) | always19(s29))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5702,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s28, s29)) | (~always19(s28)) | always19(s29))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5703,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s28, s29)) | (~always19(s28)) | always19(s29)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5702, 5701])).
% 1.04/1.13 tff(5704,plain,
% 1.04/1.13 ((~always19(s28)) | always19(s29)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5703, 4084, 2697])).
% 1.04/1.13 tff(5705,plain,
% 1.04/1.13 (~always19(s28)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5704, 5696])).
% 1.04/1.13 tff(5706,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s28) | (~node20(s28)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s28) | (~node20(s28)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5707,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s28) | (~node20(s28)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5708,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s28) | (~node20(s28))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 1.04/1.13 tff(5709,plain,
% 1.04/1.13 (~node20(s28)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5708, 5449, 5705])).
% 1.04/1.13 tff(5710,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5711,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5712,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state1(s27, c_t1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5711, 5710])).
% 1.04/1.13 tff(5713,plain,
% 1.04/1.13 (~m_main_v_state1(s27, c_t1)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5712, 10, 2625])).
% 1.04/1.13 tff(5714,plain,
% 1.04/1.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s27, c_t1) | (~node20(s27)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s27, c_t1) | (~node20(s27)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5715,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s27, c_t1) | (~node20(s27)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5716,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s27, c_t1) | (~node20(s27))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 1.04/1.13 tff(5717,plain,
% 1.04/1.13 (~node20(s27)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5716, 5426, 5713])).
% 1.04/1.13 tff(5718,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s26)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s26)) | (~m_main_v_state1(s26, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5719,plain,
% 1.04/1.13 (((~m_main_v_state1(s26, c_c1)) | (~always19(s26))) <=> ((~always19(s26)) | (~m_main_v_state1(s26, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5720,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s26, c_c1)) | (~always19(s26)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s26)) | (~m_main_v_state1(s26, c_c1))))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[5719])).
% 1.04/1.13 tff(5721,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s26, c_c1)) | (~always19(s26)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s26)) | (~m_main_v_state1(s26, c_c1)))),
% 1.04/1.13 inference(transitivity,[status(thm)],[5720, 5718])).
% 1.04/1.13 tff(5722,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s26, c_c1)) | (~always19(s26)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5723,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s26)) | (~m_main_v_state1(s26, c_c1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 1.04/1.13 tff(5724,plain,
% 1.04/1.13 (~always19(s26)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5723, 4067, 2543])).
% 1.04/1.13 tff(5725,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s25, s26)) | (~always19(s25)) | always19(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s25, s26)) | (~always19(s25)) | always19(s26))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5726,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s25, s26)) | (~always19(s25)) | always19(s26))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5727,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s25, s26)) | (~always19(s25)) | always19(s26)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 1.04/1.13 tff(5728,plain,
% 1.04/1.13 ((~always19(s25)) | always19(s26)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5727, 4084, 2459])).
% 1.04/1.13 tff(5729,plain,
% 1.04/1.13 (~always19(s25)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5728, 5724])).
% 1.04/1.13 tff(5730,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s25) | (~node20(s25)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s25) | (~node20(s25)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5731,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s25) | (~node20(s25)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5732,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s25) | (~node20(s25))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 1.04/1.13 tff(5733,plain,
% 1.04/1.13 (~node20(s25)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5732, 5449, 5729])).
% 1.04/1.13 tff(5734,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s24, s25)) | (~always19(s24)) | always19(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s24, s25)) | (~always19(s24)) | always19(s25))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5735,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s24, s25)) | (~always19(s24)) | always19(s25))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5736,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s24, s25)) | (~always19(s24)) | always19(s25)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 1.04/1.13 tff(5737,plain,
% 1.04/1.13 ((~always19(s24)) | always19(s25)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5736, 4084, 2392])).
% 1.04/1.13 tff(5738,plain,
% 1.04/1.13 (~always19(s24)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5737, 5729])).
% 1.04/1.13 tff(5739,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s24) | (~node20(s24)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s24) | (~node20(s24)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5740,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s24) | (~node20(s24)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5741,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s24) | (~node20(s24))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 1.04/1.13 tff(5742,plain,
% 1.04/1.13 (~node20(s24)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5741, 5449, 5738])).
% 1.04/1.13 tff(5743,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5744,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5745,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state1(s23, c_t1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5744, 5743])).
% 1.04/1.13 tff(5746,plain,
% 1.04/1.13 (~m_main_v_state1(s23, c_t1)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5745, 10, 2240])).
% 1.04/1.13 tff(5747,plain,
% 1.04/1.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s23, c_t1) | (~node20(s23)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s23, c_t1) | (~node20(s23)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5748,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s23, c_t1) | (~node20(s23)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5749,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s23, c_t1) | (~node20(s23))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 1.04/1.13 tff(5750,plain,
% 1.04/1.13 (~node20(s23)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5749, 5426, 5746])).
% 1.04/1.13 tff(5751,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s22)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s22)) | (~m_main_v_state1(s22, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5752,plain,
% 1.04/1.13 (((~m_main_v_state1(s22, c_c1)) | (~always19(s22))) <=> ((~always19(s22)) | (~m_main_v_state1(s22, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5753,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s22, c_c1)) | (~always19(s22)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s22)) | (~m_main_v_state1(s22, c_c1))))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[5752])).
% 1.04/1.13 tff(5754,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s22, c_c1)) | (~always19(s22)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s22)) | (~m_main_v_state1(s22, c_c1)))),
% 1.04/1.13 inference(transitivity,[status(thm)],[5753, 5751])).
% 1.04/1.13 tff(5755,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s22, c_c1)) | (~always19(s22)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5756,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s22)) | (~m_main_v_state1(s22, c_c1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 1.04/1.13 tff(5757,plain,
% 1.04/1.13 (~always19(s22)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5756, 4067, 2176])).
% 1.04/1.13 tff(5758,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s21, s22)) | (~always19(s21)) | always19(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s21, s22)) | (~always19(s21)) | always19(s22))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5759,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s21, s22)) | (~always19(s21)) | always19(s22))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5760,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s21, s22)) | (~always19(s21)) | always19(s22)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 1.04/1.13 tff(5761,plain,
% 1.04/1.13 ((~always19(s21)) | always19(s22)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5760, 4084, 2164])).
% 1.04/1.13 tff(5762,plain,
% 1.04/1.13 (~always19(s21)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5761, 5757])).
% 1.04/1.13 tff(5763,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s21) | (~node20(s21)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s21) | (~node20(s21)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5764,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s21) | (~node20(s21)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5765,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s21) | (~node20(s21))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5764, 5763])).
% 1.04/1.13 tff(5766,plain,
% 1.04/1.13 (~node20(s21)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5765, 5449, 5762])).
% 1.04/1.13 tff(5767,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s20, s21)) | (~always19(s20)) | always19(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s20, s21)) | (~always19(s20)) | always19(s21))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5768,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s20, s21)) | (~always19(s20)) | always19(s21))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5769,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s20, s21)) | (~always19(s20)) | always19(s21)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 1.04/1.13 tff(5770,plain,
% 1.04/1.13 ((~always19(s20)) | always19(s21)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5769, 4084, 2069])).
% 1.04/1.13 tff(5771,plain,
% 1.04/1.13 (~always19(s20)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5770, 5762])).
% 1.04/1.13 tff(5772,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s20) | (~node20(s20)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s20) | (~node20(s20)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5773,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s20) | (~node20(s20)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5774,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s20) | (~node20(s20))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5773, 5772])).
% 1.04/1.13 tff(5775,plain,
% 1.04/1.13 (~node20(s20)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5774, 5449, 5771])).
% 1.04/1.13 tff(5776,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5777,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5778,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state1(s19, c_t1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5777, 5776])).
% 1.04/1.13 tff(5779,plain,
% 1.04/1.13 (~m_main_v_state1(s19, c_t1)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5778, 10, 1997])).
% 1.04/1.13 tff(5780,plain,
% 1.04/1.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s19, c_t1) | (~node20(s19)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s19, c_t1) | (~node20(s19)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5781,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s19, c_t1) | (~node20(s19)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5782,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s19, c_t1) | (~node20(s19))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5781, 5780])).
% 1.04/1.13 tff(5783,plain,
% 1.04/1.13 (~node20(s19)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5782, 5426, 5779])).
% 1.04/1.13 tff(5784,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s18)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s18)) | (~m_main_v_state1(s18, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5785,plain,
% 1.04/1.13 (((~m_main_v_state1(s18, c_c1)) | (~always19(s18))) <=> ((~always19(s18)) | (~m_main_v_state1(s18, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5786,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s18, c_c1)) | (~always19(s18)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s18)) | (~m_main_v_state1(s18, c_c1))))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[5785])).
% 1.04/1.13 tff(5787,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s18, c_c1)) | (~always19(s18)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s18)) | (~m_main_v_state1(s18, c_c1)))),
% 1.04/1.13 inference(transitivity,[status(thm)],[5786, 5784])).
% 1.04/1.13 tff(5788,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s18, c_c1)) | (~always19(s18)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5789,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s18)) | (~m_main_v_state1(s18, c_c1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5788, 5787])).
% 1.04/1.13 tff(5790,plain,
% 1.04/1.13 (~always19(s18)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5789, 4067, 1915])).
% 1.04/1.13 tff(5791,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s17, s18)) | (~always19(s17)) | always19(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s17, s18)) | (~always19(s17)) | always19(s18))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5792,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s17, s18)) | (~always19(s17)) | always19(s18))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5793,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s17, s18)) | (~always19(s17)) | always19(s18)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 1.04/1.13 tff(5794,plain,
% 1.04/1.13 ((~always19(s17)) | always19(s18)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5793, 4084, 1831])).
% 1.04/1.13 tff(5795,plain,
% 1.04/1.13 (~always19(s17)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5794, 5790])).
% 1.04/1.13 tff(5796,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s17) | (~node20(s17)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s17) | (~node20(s17)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5797,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s17) | (~node20(s17)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5798,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s17) | (~node20(s17))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 1.04/1.13 tff(5799,plain,
% 1.04/1.13 (~node20(s17)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5798, 5449, 5795])).
% 1.04/1.13 tff(5800,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s16, s17)) | (~always19(s16)) | always19(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s16, s17)) | (~always19(s16)) | always19(s17))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5801,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s16, s17)) | (~always19(s16)) | always19(s17))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5802,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s16, s17)) | (~always19(s16)) | always19(s17)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 1.04/1.13 tff(5803,plain,
% 1.04/1.13 ((~always19(s16)) | always19(s17)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5802, 4084, 1764])).
% 1.04/1.13 tff(5804,plain,
% 1.04/1.13 (~always19(s16)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5803, 5795])).
% 1.04/1.13 tff(5805,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s16) | (~node20(s16)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s16) | (~node20(s16)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5806,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s16) | (~node20(s16)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5807,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s16) | (~node20(s16))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5806, 5805])).
% 1.04/1.13 tff(5808,plain,
% 1.04/1.13 (~node20(s16)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5807, 5449, 5804])).
% 1.04/1.13 tff(5809,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5810,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5811,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state1(s15, c_t1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 1.04/1.13 tff(5812,plain,
% 1.04/1.13 (~m_main_v_state1(s15, c_t1)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5811, 10, 1612])).
% 1.04/1.13 tff(5813,plain,
% 1.04/1.13 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s15, c_t1) | (~node20(s15)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s15, c_t1) | (~node20(s15)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5814,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s15, c_t1) | (~node20(s15)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5815,plain,
% 1.04/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s15, c_t1) | (~node20(s15))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 1.04/1.13 tff(5816,plain,
% 1.04/1.13 (~node20(s15)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5815, 5426, 5812])).
% 1.04/1.13 tff(5817,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s14)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s14)) | (~m_main_v_state1(s14, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5818,plain,
% 1.04/1.13 (((~m_main_v_state1(s14, c_c1)) | (~always19(s14))) <=> ((~always19(s14)) | (~m_main_v_state1(s14, c_c1)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5819,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s14, c_c1)) | (~always19(s14)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s14)) | (~m_main_v_state1(s14, c_c1))))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[5818])).
% 1.04/1.13 tff(5820,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s14, c_c1)) | (~always19(s14)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s14)) | (~m_main_v_state1(s14, c_c1)))),
% 1.04/1.13 inference(transitivity,[status(thm)],[5819, 5817])).
% 1.04/1.13 tff(5821,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s14, c_c1)) | (~always19(s14)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5822,plain,
% 1.04/1.13 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s14)) | (~m_main_v_state1(s14, c_c1))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5821, 5820])).
% 1.04/1.13 tff(5823,plain,
% 1.04/1.13 (~always19(s14)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5822, 4067, 1548])).
% 1.04/1.13 tff(5824,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s13, s14)) | (~always19(s13)) | always19(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s13, s14)) | (~always19(s13)) | always19(s14))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5825,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s13, s14)) | (~always19(s13)) | always19(s14))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5826,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s13, s14)) | (~always19(s13)) | always19(s14)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5825, 5824])).
% 1.04/1.13 tff(5827,plain,
% 1.04/1.13 ((~always19(s13)) | always19(s14)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5826, 4084, 1536])).
% 1.04/1.13 tff(5828,plain,
% 1.04/1.13 (~always19(s13)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5827, 5823])).
% 1.04/1.13 tff(5829,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s13) | (~node20(s13)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s13) | (~node20(s13)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5830,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s13) | (~node20(s13)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5831,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s13) | (~node20(s13))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 1.04/1.13 tff(5832,plain,
% 1.04/1.13 (~node20(s13)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5831, 5449, 5828])).
% 1.04/1.13 tff(5833,plain,
% 1.04/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s12, s13)) | (~always19(s12)) | always19(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s12, s13)) | (~always19(s12)) | always19(s13))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5834,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s12, s13)) | (~always19(s12)) | always19(s13))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5835,plain,
% 1.04/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s12, s13)) | (~always19(s12)) | always19(s13)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5834, 5833])).
% 1.04/1.13 tff(5836,plain,
% 1.04/1.13 ((~always19(s12)) | always19(s13)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5835, 4084, 1441])).
% 1.04/1.13 tff(5837,plain,
% 1.04/1.13 (~always19(s12)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5836, 5828])).
% 1.04/1.13 tff(5838,plain,
% 1.04/1.13 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s12) | (~node20(s12)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s12) | (~node20(s12)))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(5839,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s12) | (~node20(s12)))),
% 1.04/1.13 inference(quant_inst,[status(thm)],[])).
% 1.04/1.13 tff(5840,plain,
% 1.04/1.13 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s12) | (~node20(s12))),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 1.04/1.13 tff(5841,plain,
% 1.04/1.13 (~node20(s12)),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[5840, 5449, 5837])).
% 1.04/1.13 tff(5842,plain,
% 1.04/1.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5843,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5844,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state1(s11, c_t1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5843, 5842])).
% 1.04/1.14 tff(5845,plain,
% 1.04/1.14 (~m_main_v_state1(s11, c_t1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5844, 10, 1369])).
% 1.04/1.14 tff(5846,plain,
% 1.04/1.14 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s11, c_t1) | (~node20(s11)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s11, c_t1) | (~node20(s11)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5847,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s11, c_t1) | (~node20(s11)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5848,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s11, c_t1) | (~node20(s11))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 1.04/1.14 tff(5849,plain,
% 1.04/1.14 (~node20(s11)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5848, 5426, 5845])).
% 1.04/1.14 tff(5850,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s10)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s10)) | (~m_main_v_state1(s10, c_c1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5851,plain,
% 1.04/1.14 (((~m_main_v_state1(s10, c_c1)) | (~always19(s10))) <=> ((~always19(s10)) | (~m_main_v_state1(s10, c_c1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5852,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s10, c_c1)) | (~always19(s10)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s10)) | (~m_main_v_state1(s10, c_c1))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[5851])).
% 1.04/1.14 tff(5853,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s10, c_c1)) | (~always19(s10)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s10)) | (~m_main_v_state1(s10, c_c1)))),
% 1.04/1.14 inference(transitivity,[status(thm)],[5852, 5850])).
% 1.04/1.14 tff(5854,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s10, c_c1)) | (~always19(s10)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5855,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s10)) | (~m_main_v_state1(s10, c_c1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 1.04/1.14 tff(5856,plain,
% 1.04/1.14 (~always19(s10)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5855, 4067, 1287])).
% 1.04/1.14 tff(5857,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s9, s10)) | (~always19(s9)) | always19(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s9, s10)) | (~always19(s9)) | always19(s10))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5858,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s9, s10)) | (~always19(s9)) | always19(s10))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5859,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s9, s10)) | (~always19(s9)) | always19(s10)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 1.04/1.14 tff(5860,plain,
% 1.04/1.14 ((~always19(s9)) | always19(s10)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5859, 4084, 1203])).
% 1.04/1.14 tff(5861,plain,
% 1.04/1.14 (~always19(s9)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5860, 5856])).
% 1.04/1.14 tff(5862,plain,
% 1.04/1.14 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s9) | (~node20(s9)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s9) | (~node20(s9)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5863,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s9) | (~node20(s9)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5864,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s9) | (~node20(s9))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 1.04/1.14 tff(5865,plain,
% 1.04/1.14 (~node20(s9)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5864, 5449, 5861])).
% 1.04/1.14 tff(5866,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s8, s9)) | (~always19(s8)) | always19(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s8, s9)) | (~always19(s8)) | always19(s9))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5867,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s8, s9)) | (~always19(s8)) | always19(s9))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5868,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s8, s9)) | (~always19(s8)) | always19(s9)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 1.04/1.14 tff(5869,plain,
% 1.04/1.14 ((~always19(s8)) | always19(s9)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5868, 4084, 1136])).
% 1.04/1.14 tff(5870,plain,
% 1.04/1.14 (~always19(s8)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5869, 5861])).
% 1.04/1.14 tff(5871,plain,
% 1.04/1.14 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s8) | (~node20(s8)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s8) | (~node20(s8)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5872,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s8) | (~node20(s8)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5873,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s8) | (~node20(s8))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 1.04/1.14 tff(5874,plain,
% 1.04/1.14 (~node20(s8)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5873, 5449, 5870])).
% 1.04/1.14 tff(5875,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state1(s7, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state1(s7, c_t1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5876,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state1(s7, c_t1)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5877,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state1(s7, c_t1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 1.04/1.14 tff(5878,plain,
% 1.04/1.14 (~m_main_v_state1(s7, c_t1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5877, 10, 974])).
% 1.04/1.14 tff(5879,plain,
% 1.04/1.14 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s7, c_t1) | (~node20(s7)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s7, c_t1) | (~node20(s7)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5880,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s7, c_t1) | (~node20(s7)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5881,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s7, c_t1) | (~node20(s7))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 1.04/1.14 tff(5882,plain,
% 1.04/1.14 (~node20(s7)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5881, 5426, 5878])).
% 1.04/1.14 tff(5883,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s6)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s6)) | (~m_main_v_state1(s6, c_c1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5884,plain,
% 1.04/1.14 (((~m_main_v_state1(s6, c_c1)) | (~always19(s6))) <=> ((~always19(s6)) | (~m_main_v_state1(s6, c_c1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5885,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s6, c_c1)) | (~always19(s6)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s6)) | (~m_main_v_state1(s6, c_c1))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[5884])).
% 1.04/1.14 tff(5886,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s6, c_c1)) | (~always19(s6)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s6)) | (~m_main_v_state1(s6, c_c1)))),
% 1.04/1.14 inference(transitivity,[status(thm)],[5885, 5883])).
% 1.04/1.14 tff(5887,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s6, c_c1)) | (~always19(s6)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5888,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s6)) | (~m_main_v_state1(s6, c_c1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5887, 5886])).
% 1.04/1.14 tff(5889,plain,
% 1.04/1.14 (~always19(s6)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5888, 4067, 900])).
% 1.04/1.14 tff(5890,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s5, s6)) | (~always19(s5)) | always19(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s5, s6)) | (~always19(s5)) | always19(s6))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5891,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s5, s6)) | (~always19(s5)) | always19(s6))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5892,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s5, s6)) | (~always19(s5)) | always19(s6)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5891, 5890])).
% 1.04/1.14 tff(5893,plain,
% 1.04/1.14 ((~always19(s5)) | always19(s6)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5892, 4084, 878])).
% 1.04/1.14 tff(5894,plain,
% 1.04/1.14 (~always19(s5)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5893, 5889])).
% 1.04/1.14 tff(5895,plain,
% 1.04/1.14 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s5) | (~node20(s5)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s5) | (~node20(s5)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5896,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s5) | (~node20(s5)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5897,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s5) | (~node20(s5))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 1.04/1.14 tff(5898,plain,
% 1.04/1.14 (~node20(s5)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5897, 5449, 5894])).
% 1.04/1.14 tff(5899,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s4, s5)) | (~always19(s4)) | always19(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s4, s5)) | (~always19(s4)) | always19(s5))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5900,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s4, s5)) | (~always19(s4)) | always19(s5))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5901,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s4, s5)) | (~always19(s4)) | always19(s5)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 1.04/1.14 tff(5902,plain,
% 1.04/1.14 ((~always19(s4)) | always19(s5)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5901, 4084, 712])).
% 1.04/1.14 tff(5903,plain,
% 1.04/1.14 (~always19(s4)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5902, 5894])).
% 1.04/1.14 tff(5904,plain,
% 1.04/1.14 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s4) | (~node20(s4)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s4) | (~node20(s4)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5905,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s4) | (~node20(s4)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5906,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s4) | (~node20(s4))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 1.04/1.14 tff(5907,plain,
% 1.04/1.14 (~node20(s4)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5906, 5449, 5903])).
% 1.04/1.14 tff(5908,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state1(s3, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state1(s3, c_t1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5909,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state1(s3, c_t1)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5910,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state1(s3, c_t1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5909, 5908])).
% 1.04/1.14 tff(5911,plain,
% 1.04/1.14 (~m_main_v_state1(s3, c_t1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5910, 10, 592])).
% 1.04/1.14 tff(5912,plain,
% 1.04/1.14 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s3, c_t1) | (~node20(s3)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s3, c_t1) | (~node20(s3)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5913,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s3, c_t1) | (~node20(s3)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5914,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s3, c_t1) | (~node20(s3))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5913, 5912])).
% 1.04/1.14 tff(5915,plain,
% 1.04/1.14 (~node20(s3)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5914, 5426, 5911])).
% 1.04/1.14 tff(5916,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s2)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s2)) | (~m_main_v_state1(s2, c_c1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5917,plain,
% 1.04/1.14 (((~m_main_v_state1(s2, c_c1)) | (~always19(s2))) <=> ((~always19(s2)) | (~m_main_v_state1(s2, c_c1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5918,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s2, c_c1)) | (~always19(s2)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s2)) | (~m_main_v_state1(s2, c_c1))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[5917])).
% 1.04/1.14 tff(5919,plain,
% 1.04/1.14 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s2, c_c1)) | (~always19(s2)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s2)) | (~m_main_v_state1(s2, c_c1)))),
% 1.04/1.14 inference(transitivity,[status(thm)],[5918, 5916])).
% 1.04/1.14 tff(5920,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s2, c_c1)) | (~always19(s2)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5921,plain,
% 1.04/1.14 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s2)) | (~m_main_v_state1(s2, c_c1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5920, 5919])).
% 1.04/1.14 tff(5922,plain,
% 1.04/1.14 (~always19(s2)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5921, 4067, 447])).
% 1.04/1.14 tff(5923,plain,
% 1.04/1.14 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s2) | (~node20(s2)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s2) | (~node20(s2)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5924,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s2) | (~node20(s2)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5925,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s2) | (~node20(s2))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5924, 5923])).
% 1.04/1.14 tff(5926,plain,
% 1.04/1.14 (~node20(s2)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5925, 5449, 5922])).
% 1.04/1.14 tff(5927,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s1, s2)) | (~always19(s1)) | always19(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s1, s2)) | (~always19(s1)) | always19(s2))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5928,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s1, s2)) | (~always19(s1)) | always19(s2))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5929,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s1, s2)) | (~always19(s1)) | always19(s2)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5928, 5927])).
% 1.04/1.14 tff(5930,plain,
% 1.04/1.14 ((~always19(s1)) | always19(s2)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5929, 4084, 282])).
% 1.04/1.14 tff(5931,plain,
% 1.04/1.14 (~always19(s1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5930, 5922])).
% 1.04/1.14 tff(5932,plain,
% 1.04/1.14 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s1) | (~node20(s1)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s1) | (~node20(s1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5933,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s1) | (~node20(s1)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5934,plain,
% 1.04/1.14 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s1) | (~node20(s1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5933, 5932])).
% 1.04/1.14 tff(5935,plain,
% 1.04/1.14 (~node20(s1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5934, 5449, 5931])).
% 1.04/1.14 tff(5936,plain,
% 1.04/1.14 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s0, c_t1) | (~node20(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s0, c_t1) | (~node20(s0)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5937,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s0, c_t1) | (~node20(s0)))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5938,plain,
% 1.04/1.14 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s0, c_t1) | (~node20(s0))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5937, 5936])).
% 1.04/1.14 tff(5939,plain,
% 1.04/1.14 (~node20(s0)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5938, 5426, 14])).
% 1.04/1.14 tff(5940,plain,
% 1.04/1.14 (until21(s0) <=> until21(s0)),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5941,axiom,(until21(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty13')).
% 1.04/1.14 tff(5942,plain,
% 1.04/1.14 (until21(s0)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 1.04/1.14 tff(5943,plain,
% 1.04/1.14 (^[X: $i] : refl((node20(X) | (~until21(X)) | xuntil22(X)) <=> (node20(X) | (~until21(X)) | xuntil22(X)))),
% 1.04/1.14 inference(bind,[status(th)],[])).
% 1.04/1.14 tff(5944,plain,
% 1.04/1.14 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X)) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.04/1.14 inference(quant_intro,[status(thm)],[5943])).
% 1.04/1.14 tff(5945,plain,
% 1.04/1.14 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X)) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5946,plain,
% 1.04/1.14 (^[X: $i] : rewrite(((node20(X) | xuntil22(X)) | (~until21(X))) <=> (node20(X) | (~until21(X)) | xuntil22(X)))),
% 1.04/1.14 inference(bind,[status(th)],[])).
% 1.04/1.14 tff(5947,plain,
% 1.04/1.14 (![X: $i] : ((node20(X) | xuntil22(X)) | (~until21(X))) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.04/1.14 inference(quant_intro,[status(thm)],[5946])).
% 1.04/1.14 tff(5948,axiom,(![X: $i] : ((node20(X) | xuntil22(X)) | (~until21(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty6')).
% 1.04/1.14 tff(5949,plain,
% 1.04/1.14 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 1.04/1.14 tff(5950,plain,
% 1.04/1.14 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5949, 5945])).
% 1.04/1.14 tff(5951,plain,(
% 1.04/1.14 ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.04/1.14 inference(skolemize,[status(sab)],[5950])).
% 1.04/1.14 tff(5952,plain,
% 1.04/1.14 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5951, 5944])).
% 1.04/1.14 tff(5953,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s0) | node20(s0) | (~until21(s0)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s0) | node20(s0) | (~until21(s0)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5954,plain,
% 1.04/1.14 ((node20(s0) | (~until21(s0)) | xuntil22(s0)) <=> (xuntil22(s0) | node20(s0) | (~until21(s0)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5955,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s0) | (~until21(s0)) | xuntil22(s0))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s0) | node20(s0) | (~until21(s0))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[5954])).
% 1.04/1.14 tff(5956,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s0) | (~until21(s0)) | xuntil22(s0))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s0) | node20(s0) | (~until21(s0)))),
% 1.04/1.14 inference(transitivity,[status(thm)],[5955, 5953])).
% 1.04/1.14 tff(5957,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s0) | (~until21(s0)) | xuntil22(s0))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5958,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s0) | node20(s0) | (~until21(s0))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 1.04/1.14 tff(5959,plain,
% 1.04/1.14 (xuntil22(s0) | node20(s0)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5958, 5952, 5942])).
% 1.04/1.14 tff(5960,plain,
% 1.04/1.14 (xuntil22(s0)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5959, 5939])).
% 1.04/1.14 tff(5961,plain,
% 1.04/1.14 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)))),
% 1.04/1.14 inference(bind,[status(th)],[])).
% 1.04/1.14 tff(5962,plain,
% 1.04/1.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.04/1.14 inference(quant_intro,[status(thm)],[5961])).
% 1.04/1.14 tff(5963,plain,
% 1.04/1.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5964,plain,
% 1.04/1.14 (^[Y: $i, X: $i] : rewrite(((until21(Y) | (~succ(X, Y))) | (~xuntil22(X))) <=> ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)))),
% 1.04/1.14 inference(bind,[status(th)],[])).
% 1.04/1.14 tff(5965,plain,
% 1.04/1.14 (![Y: $i, X: $i] : ((until21(Y) | (~succ(X, Y))) | (~xuntil22(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.04/1.14 inference(quant_intro,[status(thm)],[5964])).
% 1.04/1.14 tff(5966,axiom,(![Y: $i, X: $i] : ((until21(Y) | (~succ(X, Y))) | (~xuntil22(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty7')).
% 1.04/1.14 tff(5967,plain,
% 1.04/1.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5966, 5965])).
% 1.04/1.14 tff(5968,plain,
% 1.04/1.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5967, 5963])).
% 1.04/1.14 tff(5969,plain,(
% 1.04/1.14 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.04/1.14 inference(skolemize,[status(sab)],[5968])).
% 1.04/1.14 tff(5970,plain,
% 1.04/1.14 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5969, 5962])).
% 1.04/1.14 tff(5971,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5972,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5973,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5972, 5971])).
% 1.04/1.14 tff(5974,plain,
% 1.04/1.14 ((~xuntil22(s0)) | until21(s1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5973, 35, 5970])).
% 1.04/1.14 tff(5975,plain,
% 1.04/1.14 (until21(s1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5974, 5960])).
% 1.04/1.14 tff(5976,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s1) | node20(s1) | (~until21(s1)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s1) | node20(s1) | (~until21(s1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5977,plain,
% 1.04/1.14 ((node20(s1) | (~until21(s1)) | xuntil22(s1)) <=> (xuntil22(s1) | node20(s1) | (~until21(s1)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5978,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s1) | (~until21(s1)) | xuntil22(s1))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s1) | node20(s1) | (~until21(s1))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[5977])).
% 1.04/1.14 tff(5979,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s1) | (~until21(s1)) | xuntil22(s1))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s1) | node20(s1) | (~until21(s1)))),
% 1.04/1.14 inference(transitivity,[status(thm)],[5978, 5976])).
% 1.04/1.14 tff(5980,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s1) | (~until21(s1)) | xuntil22(s1))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5981,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s1) | node20(s1) | (~until21(s1))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 1.04/1.14 tff(5982,plain,
% 1.04/1.14 (xuntil22(s1) | node20(s1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5981, 5952, 5975])).
% 1.04/1.14 tff(5983,plain,
% 1.04/1.14 (xuntil22(s1)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5982, 5935])).
% 1.04/1.14 tff(5984,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5985,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5986,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5985, 5984])).
% 1.04/1.14 tff(5987,plain,
% 1.04/1.14 ((~xuntil22(s1)) | until21(s2)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5986, 278, 5970])).
% 1.04/1.14 tff(5988,plain,
% 1.04/1.14 (until21(s2)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5987, 5983])).
% 1.04/1.14 tff(5989,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s2) | node20(s2) | (~until21(s2)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s2) | node20(s2) | (~until21(s2)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5990,plain,
% 1.04/1.14 ((node20(s2) | (~until21(s2)) | xuntil22(s2)) <=> (xuntil22(s2) | node20(s2) | (~until21(s2)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5991,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s2) | (~until21(s2)) | xuntil22(s2))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s2) | node20(s2) | (~until21(s2))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[5990])).
% 1.04/1.14 tff(5992,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s2) | (~until21(s2)) | xuntil22(s2))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s2) | node20(s2) | (~until21(s2)))),
% 1.04/1.14 inference(transitivity,[status(thm)],[5991, 5989])).
% 1.04/1.14 tff(5993,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s2) | (~until21(s2)) | xuntil22(s2))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5994,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s2) | node20(s2) | (~until21(s2))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5993, 5992])).
% 1.04/1.14 tff(5995,plain,
% 1.04/1.14 (xuntil22(s2)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5994, 5952, 5988, 5926])).
% 1.04/1.14 tff(5996,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(5997,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(5998,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[5997, 5996])).
% 1.04/1.14 tff(5999,plain,
% 1.04/1.14 ((~xuntil22(s2)) | until21(s3)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5998, 480, 5970])).
% 1.04/1.14 tff(6000,plain,
% 1.04/1.14 (until21(s3)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[5999, 5995])).
% 1.04/1.14 tff(6001,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s3) | node20(s3) | (~until21(s3)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s3) | node20(s3) | (~until21(s3)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(6002,plain,
% 1.04/1.14 ((node20(s3) | (~until21(s3)) | xuntil22(s3)) <=> (xuntil22(s3) | node20(s3) | (~until21(s3)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(6003,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s3) | (~until21(s3)) | xuntil22(s3))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s3) | node20(s3) | (~until21(s3))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[6002])).
% 1.04/1.14 tff(6004,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s3) | (~until21(s3)) | xuntil22(s3))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s3) | node20(s3) | (~until21(s3)))),
% 1.04/1.14 inference(transitivity,[status(thm)],[6003, 6001])).
% 1.04/1.14 tff(6005,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s3) | (~until21(s3)) | xuntil22(s3))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(6006,plain,
% 1.04/1.14 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s3) | node20(s3) | (~until21(s3))),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 1.04/1.14 tff(6007,plain,
% 1.04/1.14 (xuntil22(s3)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[6006, 5952, 6000, 5915])).
% 1.04/1.14 tff(6008,plain,
% 1.04/1.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(6009,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4))),
% 1.04/1.14 inference(quant_inst,[status(thm)],[])).
% 1.04/1.14 tff(6010,plain,
% 1.04/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[6009, 6008])).
% 1.04/1.14 tff(6011,plain,
% 1.04/1.14 ((~xuntil22(s3)) | until21(s4)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[6010, 599, 5970])).
% 1.04/1.14 tff(6012,plain,
% 1.04/1.14 (until21(s4)),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[6011, 6007])).
% 1.04/1.14 tff(6013,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s4) | node20(s4) | (~until21(s4)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s4) | node20(s4) | (~until21(s4)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(6014,plain,
% 1.04/1.14 ((node20(s4) | (~until21(s4)) | xuntil22(s4)) <=> (xuntil22(s4) | node20(s4) | (~until21(s4)))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(6015,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s4) | (~until21(s4)) | xuntil22(s4))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s4) | node20(s4) | (~until21(s4))))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[6014])).
% 1.04/1.14 tff(6016,plain,
% 1.04/1.14 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s4) | (~until21(s4)) | xuntil22(s4))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s4) | node20(s4) | (~until21(s4)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6015, 6013])).
% 1.04/1.15 tff(6017,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s4) | (~until21(s4)) | xuntil22(s4))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6018,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s4) | node20(s4) | (~until21(s4))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 1.04/1.15 tff(6019,plain,
% 1.04/1.15 (xuntil22(s4) | node20(s4)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6018, 5952, 6012])).
% 1.04/1.15 tff(6020,plain,
% 1.04/1.15 (xuntil22(s4)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6019, 5907])).
% 1.04/1.15 tff(6021,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6022,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6023,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6022, 6021])).
% 1.04/1.15 tff(6024,plain,
% 1.04/1.15 ((~xuntil22(s4)) | until21(s5)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6023, 708, 5970])).
% 1.04/1.15 tff(6025,plain,
% 1.04/1.15 (until21(s5)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6024, 6020])).
% 1.04/1.15 tff(6026,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s5) | node20(s5) | (~until21(s5)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s5) | node20(s5) | (~until21(s5)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6027,plain,
% 1.04/1.15 ((node20(s5) | (~until21(s5)) | xuntil22(s5)) <=> (xuntil22(s5) | node20(s5) | (~until21(s5)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6028,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s5) | (~until21(s5)) | xuntil22(s5))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s5) | node20(s5) | (~until21(s5))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6027])).
% 1.04/1.15 tff(6029,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s5) | (~until21(s5)) | xuntil22(s5))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s5) | node20(s5) | (~until21(s5)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6028, 6026])).
% 1.04/1.15 tff(6030,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s5) | (~until21(s5)) | xuntil22(s5))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6031,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s5) | node20(s5) | (~until21(s5))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 1.04/1.15 tff(6032,plain,
% 1.04/1.15 (xuntil22(s5)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6031, 5952, 6025, 5898])).
% 1.04/1.15 tff(6033,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6034,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6035,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 1.04/1.15 tff(6036,plain,
% 1.04/1.15 ((~xuntil22(s5)) | until21(s6)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6035, 874, 5970])).
% 1.04/1.15 tff(6037,plain,
% 1.04/1.15 (until21(s6)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6036, 6032])).
% 1.04/1.15 tff(6038,plain,
% 1.04/1.15 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s6) | (~node20(s6)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s6) | (~node20(s6)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6039,plain,
% 1.04/1.15 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s6) | (~node20(s6)))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6040,plain,
% 1.04/1.15 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s6) | (~node20(s6))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 1.04/1.15 tff(6041,plain,
% 1.04/1.15 (~node20(s6)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6040, 5449, 5889])).
% 1.04/1.15 tff(6042,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s6) | node20(s6) | (~until21(s6)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s6) | node20(s6) | (~until21(s6)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6043,plain,
% 1.04/1.15 ((node20(s6) | (~until21(s6)) | xuntil22(s6)) <=> (xuntil22(s6) | node20(s6) | (~until21(s6)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6044,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s6) | (~until21(s6)) | xuntil22(s6))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s6) | node20(s6) | (~until21(s6))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6043])).
% 1.04/1.15 tff(6045,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s6) | (~until21(s6)) | xuntil22(s6))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s6) | node20(s6) | (~until21(s6)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6044, 6042])).
% 1.04/1.15 tff(6046,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s6) | (~until21(s6)) | xuntil22(s6))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6047,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s6) | node20(s6) | (~until21(s6))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 1.04/1.15 tff(6048,plain,
% 1.04/1.15 (xuntil22(s6) | (~until21(s6))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6047, 5952, 6041])).
% 1.04/1.15 tff(6049,plain,
% 1.04/1.15 (xuntil22(s6)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6048, 6037])).
% 1.04/1.15 tff(6050,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6051,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6052,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6051, 6050])).
% 1.04/1.15 tff(6053,plain,
% 1.04/1.15 ((~xuntil22(s6)) | until21(s7)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6052, 958, 5970])).
% 1.04/1.15 tff(6054,plain,
% 1.04/1.15 (until21(s7)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6053, 6049])).
% 1.04/1.15 tff(6055,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s7) | node20(s7) | (~until21(s7)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s7) | node20(s7) | (~until21(s7)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6056,plain,
% 1.04/1.15 ((node20(s7) | (~until21(s7)) | xuntil22(s7)) <=> (xuntil22(s7) | node20(s7) | (~until21(s7)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6057,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s7) | (~until21(s7)) | xuntil22(s7))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s7) | node20(s7) | (~until21(s7))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6056])).
% 1.04/1.15 tff(6058,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s7) | (~until21(s7)) | xuntil22(s7))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s7) | node20(s7) | (~until21(s7)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6057, 6055])).
% 1.04/1.15 tff(6059,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s7) | (~until21(s7)) | xuntil22(s7))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6060,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s7) | node20(s7) | (~until21(s7))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6059, 6058])).
% 1.04/1.15 tff(6061,plain,
% 1.04/1.15 (xuntil22(s7)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6060, 5952, 6054, 5882])).
% 1.04/1.15 tff(6062,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6063,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6064,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 1.04/1.15 tff(6065,plain,
% 1.04/1.15 ((~xuntil22(s7)) | until21(s8)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6064, 1043, 5970])).
% 1.04/1.15 tff(6066,plain,
% 1.04/1.15 (until21(s8)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6065, 6061])).
% 1.04/1.15 tff(6067,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s8) | node20(s8) | (~until21(s8)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s8) | node20(s8) | (~until21(s8)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6068,plain,
% 1.04/1.15 ((node20(s8) | (~until21(s8)) | xuntil22(s8)) <=> (xuntil22(s8) | node20(s8) | (~until21(s8)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6069,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s8) | (~until21(s8)) | xuntil22(s8))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s8) | node20(s8) | (~until21(s8))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6068])).
% 1.04/1.15 tff(6070,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s8) | (~until21(s8)) | xuntil22(s8))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s8) | node20(s8) | (~until21(s8)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6069, 6067])).
% 1.04/1.15 tff(6071,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s8) | (~until21(s8)) | xuntil22(s8))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6072,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s8) | node20(s8) | (~until21(s8))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 1.04/1.15 tff(6073,plain,
% 1.04/1.15 (xuntil22(s8) | node20(s8)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6072, 5952, 6066])).
% 1.04/1.15 tff(6074,plain,
% 1.04/1.15 (xuntil22(s8)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6073, 5874])).
% 1.04/1.15 tff(6075,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6076,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6077,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 1.04/1.15 tff(6078,plain,
% 1.04/1.15 ((~xuntil22(s8)) | until21(s9)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6077, 1132, 5970])).
% 1.04/1.15 tff(6079,plain,
% 1.04/1.15 (until21(s9)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6078, 6074])).
% 1.04/1.15 tff(6080,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s9) | node20(s9) | (~until21(s9)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s9) | node20(s9) | (~until21(s9)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6081,plain,
% 1.04/1.15 ((node20(s9) | (~until21(s9)) | xuntil22(s9)) <=> (xuntil22(s9) | node20(s9) | (~until21(s9)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6082,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s9) | (~until21(s9)) | xuntil22(s9))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s9) | node20(s9) | (~until21(s9))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6081])).
% 1.04/1.15 tff(6083,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s9) | (~until21(s9)) | xuntil22(s9))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s9) | node20(s9) | (~until21(s9)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6082, 6080])).
% 1.04/1.15 tff(6084,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s9) | (~until21(s9)) | xuntil22(s9))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6085,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s9) | node20(s9) | (~until21(s9))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6084, 6083])).
% 1.04/1.15 tff(6086,plain,
% 1.04/1.15 (xuntil22(s9)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6085, 5952, 6079, 5865])).
% 1.04/1.15 tff(6087,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6088,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6089,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 1.04/1.15 tff(6090,plain,
% 1.04/1.15 ((~xuntil22(s9)) | until21(s10)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6089, 1199, 5970])).
% 1.04/1.15 tff(6091,plain,
% 1.04/1.15 (until21(s10)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6090, 6086])).
% 1.04/1.15 tff(6092,plain,
% 1.04/1.15 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s10) | (~node20(s10)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s10) | (~node20(s10)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6093,plain,
% 1.04/1.15 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s10) | (~node20(s10)))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6094,plain,
% 1.04/1.15 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s10) | (~node20(s10))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6093, 6092])).
% 1.04/1.15 tff(6095,plain,
% 1.04/1.15 (~node20(s10)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6094, 5449, 5856])).
% 1.04/1.15 tff(6096,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s10) | node20(s10) | (~until21(s10)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s10) | node20(s10) | (~until21(s10)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6097,plain,
% 1.04/1.15 ((node20(s10) | (~until21(s10)) | xuntil22(s10)) <=> (xuntil22(s10) | node20(s10) | (~until21(s10)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6098,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s10) | (~until21(s10)) | xuntil22(s10))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s10) | node20(s10) | (~until21(s10))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6097])).
% 1.04/1.15 tff(6099,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s10) | (~until21(s10)) | xuntil22(s10))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s10) | node20(s10) | (~until21(s10)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6098, 6096])).
% 1.04/1.15 tff(6100,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s10) | (~until21(s10)) | xuntil22(s10))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6101,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s10) | node20(s10) | (~until21(s10))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6100, 6099])).
% 1.04/1.15 tff(6102,plain,
% 1.04/1.15 (xuntil22(s10) | (~until21(s10))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6101, 5952, 6095])).
% 1.04/1.15 tff(6103,plain,
% 1.04/1.15 (xuntil22(s10)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6102, 6091])).
% 1.04/1.15 tff(6104,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6105,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6106,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 1.04/1.15 tff(6107,plain,
% 1.04/1.15 ((~xuntil22(s10)) | until21(s11)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6106, 1298, 5970])).
% 1.04/1.15 tff(6108,plain,
% 1.04/1.15 (until21(s11)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6107, 6103])).
% 1.04/1.15 tff(6109,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s11) | node20(s11) | (~until21(s11)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s11) | node20(s11) | (~until21(s11)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6110,plain,
% 1.04/1.15 ((node20(s11) | (~until21(s11)) | xuntil22(s11)) <=> (xuntil22(s11) | node20(s11) | (~until21(s11)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6111,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s11) | (~until21(s11)) | xuntil22(s11))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s11) | node20(s11) | (~until21(s11))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6110])).
% 1.04/1.15 tff(6112,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s11) | (~until21(s11)) | xuntil22(s11))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s11) | node20(s11) | (~until21(s11)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6111, 6109])).
% 1.04/1.15 tff(6113,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s11) | (~until21(s11)) | xuntil22(s11))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6114,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s11) | node20(s11) | (~until21(s11))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 1.04/1.15 tff(6115,plain,
% 1.04/1.15 (xuntil22(s11)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6114, 5952, 6108, 5849])).
% 1.04/1.15 tff(6116,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6117,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6118,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6117, 6116])).
% 1.04/1.15 tff(6119,plain,
% 1.04/1.15 ((~xuntil22(s11)) | until21(s12)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6118, 1376, 5970])).
% 1.04/1.15 tff(6120,plain,
% 1.04/1.15 (until21(s12)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6119, 6115])).
% 1.04/1.15 tff(6121,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s12) | node20(s12) | (~until21(s12)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s12) | node20(s12) | (~until21(s12)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6122,plain,
% 1.04/1.15 ((node20(s12) | (~until21(s12)) | xuntil22(s12)) <=> (xuntil22(s12) | node20(s12) | (~until21(s12)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6123,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s12) | (~until21(s12)) | xuntil22(s12))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s12) | node20(s12) | (~until21(s12))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6122])).
% 1.04/1.15 tff(6124,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s12) | (~until21(s12)) | xuntil22(s12))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s12) | node20(s12) | (~until21(s12)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6123, 6121])).
% 1.04/1.15 tff(6125,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s12) | (~until21(s12)) | xuntil22(s12))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6126,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s12) | node20(s12) | (~until21(s12))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6125, 6124])).
% 1.04/1.15 tff(6127,plain,
% 1.04/1.15 (xuntil22(s12) | node20(s12)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6126, 5952, 6120])).
% 1.04/1.15 tff(6128,plain,
% 1.04/1.15 (xuntil22(s12)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6127, 5841])).
% 1.04/1.15 tff(6129,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6130,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6131,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 1.04/1.15 tff(6132,plain,
% 1.04/1.15 ((~xuntil22(s12)) | until21(s13)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6131, 1437, 5970])).
% 1.04/1.15 tff(6133,plain,
% 1.04/1.15 (until21(s13)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6132, 6128])).
% 1.04/1.15 tff(6134,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s13) | node20(s13) | (~until21(s13)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s13) | node20(s13) | (~until21(s13)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6135,plain,
% 1.04/1.15 ((node20(s13) | (~until21(s13)) | xuntil22(s13)) <=> (xuntil22(s13) | node20(s13) | (~until21(s13)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6136,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s13) | (~until21(s13)) | xuntil22(s13))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s13) | node20(s13) | (~until21(s13))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6135])).
% 1.04/1.15 tff(6137,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s13) | (~until21(s13)) | xuntil22(s13))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s13) | node20(s13) | (~until21(s13)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6136, 6134])).
% 1.04/1.15 tff(6138,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s13) | (~until21(s13)) | xuntil22(s13))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6139,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s13) | node20(s13) | (~until21(s13))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 1.04/1.15 tff(6140,plain,
% 1.04/1.15 (xuntil22(s13)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6139, 5952, 6133, 5832])).
% 1.04/1.15 tff(6141,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6142,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6143,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 1.04/1.15 tff(6144,plain,
% 1.04/1.15 ((~xuntil22(s13)) | until21(s14)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6143, 1532, 5970])).
% 1.04/1.15 tff(6145,plain,
% 1.04/1.15 (until21(s14)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6144, 6140])).
% 1.04/1.15 tff(6146,plain,
% 1.04/1.15 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s14) | (~node20(s14)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s14) | (~node20(s14)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6147,plain,
% 1.04/1.15 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s14) | (~node20(s14)))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6148,plain,
% 1.04/1.15 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s14) | (~node20(s14))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 1.04/1.15 tff(6149,plain,
% 1.04/1.15 (~node20(s14)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6148, 5449, 5823])).
% 1.04/1.15 tff(6150,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s14) | node20(s14) | (~until21(s14)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s14) | node20(s14) | (~until21(s14)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6151,plain,
% 1.04/1.15 ((node20(s14) | (~until21(s14)) | xuntil22(s14)) <=> (xuntil22(s14) | node20(s14) | (~until21(s14)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6152,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s14) | (~until21(s14)) | xuntil22(s14))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s14) | node20(s14) | (~until21(s14))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6151])).
% 1.04/1.15 tff(6153,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s14) | (~until21(s14)) | xuntil22(s14))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s14) | node20(s14) | (~until21(s14)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6152, 6150])).
% 1.04/1.15 tff(6154,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s14) | (~until21(s14)) | xuntil22(s14))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6155,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s14) | node20(s14) | (~until21(s14))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6154, 6153])).
% 1.04/1.15 tff(6156,plain,
% 1.04/1.15 (xuntil22(s14) | (~until21(s14))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6155, 5952, 6149])).
% 1.04/1.15 tff(6157,plain,
% 1.04/1.15 (xuntil22(s14)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6156, 6145])).
% 1.04/1.15 tff(6158,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6159,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6160,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 1.04/1.15 tff(6161,plain,
% 1.04/1.15 ((~xuntil22(s14)) | until21(s15)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6160, 1596, 5970])).
% 1.04/1.15 tff(6162,plain,
% 1.04/1.15 (until21(s15)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6161, 6157])).
% 1.04/1.15 tff(6163,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s15) | node20(s15) | (~until21(s15)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s15) | node20(s15) | (~until21(s15)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6164,plain,
% 1.04/1.15 ((node20(s15) | (~until21(s15)) | xuntil22(s15)) <=> (xuntil22(s15) | node20(s15) | (~until21(s15)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6165,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s15) | (~until21(s15)) | xuntil22(s15))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s15) | node20(s15) | (~until21(s15))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6164])).
% 1.04/1.15 tff(6166,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s15) | (~until21(s15)) | xuntil22(s15))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s15) | node20(s15) | (~until21(s15)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6165, 6163])).
% 1.04/1.15 tff(6167,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s15) | (~until21(s15)) | xuntil22(s15))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6168,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s15) | node20(s15) | (~until21(s15))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6167, 6166])).
% 1.04/1.15 tff(6169,plain,
% 1.04/1.15 (xuntil22(s15)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6168, 5952, 6162, 5816])).
% 1.04/1.15 tff(6170,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6171,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6172,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 1.04/1.15 tff(6173,plain,
% 1.04/1.15 ((~xuntil22(s15)) | until21(s16)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6172, 1671, 5970])).
% 1.04/1.15 tff(6174,plain,
% 1.04/1.15 (until21(s16)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6173, 6169])).
% 1.04/1.15 tff(6175,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s16) | node20(s16) | (~until21(s16)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s16) | node20(s16) | (~until21(s16)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6176,plain,
% 1.04/1.15 ((node20(s16) | (~until21(s16)) | xuntil22(s16)) <=> (xuntil22(s16) | node20(s16) | (~until21(s16)))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6177,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s16) | (~until21(s16)) | xuntil22(s16))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s16) | node20(s16) | (~until21(s16))))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[6176])).
% 1.04/1.15 tff(6178,plain,
% 1.04/1.15 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s16) | (~until21(s16)) | xuntil22(s16))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s16) | node20(s16) | (~until21(s16)))),
% 1.04/1.15 inference(transitivity,[status(thm)],[6177, 6175])).
% 1.04/1.15 tff(6179,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s16) | (~until21(s16)) | xuntil22(s16))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6180,plain,
% 1.04/1.15 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s16) | node20(s16) | (~until21(s16))),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6179, 6178])).
% 1.04/1.15 tff(6181,plain,
% 1.04/1.15 (xuntil22(s16) | node20(s16)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6180, 5952, 6174])).
% 1.04/1.15 tff(6182,plain,
% 1.04/1.15 (xuntil22(s16)),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[6181, 5808])).
% 1.04/1.15 tff(6183,plain,
% 1.04/1.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(6184,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17))),
% 1.04/1.15 inference(quant_inst,[status(thm)],[])).
% 1.04/1.15 tff(6185,plain,
% 1.04/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 1.04/1.16 tff(6186,plain,
% 1.04/1.16 ((~xuntil22(s16)) | until21(s17)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6185, 1760, 5970])).
% 1.04/1.16 tff(6187,plain,
% 1.04/1.16 (until21(s17)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6186, 6182])).
% 1.04/1.16 tff(6188,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s17) | node20(s17) | (~until21(s17)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s17) | node20(s17) | (~until21(s17)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6189,plain,
% 1.04/1.16 ((node20(s17) | (~until21(s17)) | xuntil22(s17)) <=> (xuntil22(s17) | node20(s17) | (~until21(s17)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6190,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s17) | (~until21(s17)) | xuntil22(s17))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s17) | node20(s17) | (~until21(s17))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6189])).
% 1.04/1.16 tff(6191,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s17) | (~until21(s17)) | xuntil22(s17))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s17) | node20(s17) | (~until21(s17)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6190, 6188])).
% 1.04/1.16 tff(6192,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s17) | (~until21(s17)) | xuntil22(s17))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6193,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s17) | node20(s17) | (~until21(s17))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 1.04/1.16 tff(6194,plain,
% 1.04/1.16 (xuntil22(s17)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6193, 5952, 6187, 5799])).
% 1.04/1.16 tff(6195,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6196,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6197,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s17, s18)) | (~xuntil22(s17)) | until21(s18)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6196, 6195])).
% 1.04/1.16 tff(6198,plain,
% 1.04/1.16 ((~xuntil22(s17)) | until21(s18)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6197, 1827, 5970])).
% 1.04/1.16 tff(6199,plain,
% 1.04/1.16 (until21(s18)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6198, 6194])).
% 1.04/1.16 tff(6200,plain,
% 1.04/1.16 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s18) | (~node20(s18)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s18) | (~node20(s18)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6201,plain,
% 1.04/1.16 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s18) | (~node20(s18)))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6202,plain,
% 1.04/1.16 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s18) | (~node20(s18))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6201, 6200])).
% 1.04/1.16 tff(6203,plain,
% 1.04/1.16 (~node20(s18)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6202, 5449, 5790])).
% 1.04/1.16 tff(6204,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s18) | node20(s18) | (~until21(s18)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s18) | node20(s18) | (~until21(s18)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6205,plain,
% 1.04/1.16 ((node20(s18) | (~until21(s18)) | xuntil22(s18)) <=> (xuntil22(s18) | node20(s18) | (~until21(s18)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6206,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s18) | (~until21(s18)) | xuntil22(s18))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s18) | node20(s18) | (~until21(s18))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6205])).
% 1.04/1.16 tff(6207,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s18) | (~until21(s18)) | xuntil22(s18))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s18) | node20(s18) | (~until21(s18)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6206, 6204])).
% 1.04/1.16 tff(6208,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s18) | (~until21(s18)) | xuntil22(s18))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6209,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s18) | node20(s18) | (~until21(s18))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6208, 6207])).
% 1.04/1.16 tff(6210,plain,
% 1.04/1.16 (xuntil22(s18) | (~until21(s18))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6209, 5952, 6203])).
% 1.04/1.16 tff(6211,plain,
% 1.04/1.16 (xuntil22(s18)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6210, 6199])).
% 1.04/1.16 tff(6212,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6213,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6214,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s18, s19)) | (~xuntil22(s18)) | until21(s19)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6213, 6212])).
% 1.04/1.16 tff(6215,plain,
% 1.04/1.16 ((~xuntil22(s18)) | until21(s19)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6214, 1926, 5970])).
% 1.04/1.16 tff(6216,plain,
% 1.04/1.16 (until21(s19)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6215, 6211])).
% 1.04/1.16 tff(6217,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s19) | node20(s19) | (~until21(s19)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s19) | node20(s19) | (~until21(s19)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6218,plain,
% 1.04/1.16 ((node20(s19) | (~until21(s19)) | xuntil22(s19)) <=> (xuntil22(s19) | node20(s19) | (~until21(s19)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6219,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s19) | (~until21(s19)) | xuntil22(s19))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s19) | node20(s19) | (~until21(s19))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6218])).
% 1.04/1.16 tff(6220,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s19) | (~until21(s19)) | xuntil22(s19))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s19) | node20(s19) | (~until21(s19)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6219, 6217])).
% 1.04/1.16 tff(6221,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s19) | (~until21(s19)) | xuntil22(s19))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6222,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s19) | node20(s19) | (~until21(s19))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6221, 6220])).
% 1.04/1.16 tff(6223,plain,
% 1.04/1.16 (xuntil22(s19)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6222, 5952, 6216, 5783])).
% 1.04/1.16 tff(6224,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6225,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6226,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s19, s20)) | (~xuntil22(s19)) | until21(s20)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 1.04/1.16 tff(6227,plain,
% 1.04/1.16 ((~xuntil22(s19)) | until21(s20)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6226, 2004, 5970])).
% 1.04/1.16 tff(6228,plain,
% 1.04/1.16 (until21(s20)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6227, 6223])).
% 1.04/1.16 tff(6229,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s20) | node20(s20) | (~until21(s20)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s20) | node20(s20) | (~until21(s20)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6230,plain,
% 1.04/1.16 ((node20(s20) | (~until21(s20)) | xuntil22(s20)) <=> (xuntil22(s20) | node20(s20) | (~until21(s20)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6231,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s20) | (~until21(s20)) | xuntil22(s20))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s20) | node20(s20) | (~until21(s20))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6230])).
% 1.04/1.16 tff(6232,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s20) | (~until21(s20)) | xuntil22(s20))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s20) | node20(s20) | (~until21(s20)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6231, 6229])).
% 1.04/1.16 tff(6233,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s20) | (~until21(s20)) | xuntil22(s20))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6234,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s20) | node20(s20) | (~until21(s20))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 1.04/1.16 tff(6235,plain,
% 1.04/1.16 (xuntil22(s20) | node20(s20)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6234, 5952, 6228])).
% 1.04/1.16 tff(6236,plain,
% 1.04/1.16 (xuntil22(s20)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6235, 5775])).
% 1.04/1.16 tff(6237,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6238,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6239,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6238, 6237])).
% 1.04/1.16 tff(6240,plain,
% 1.04/1.16 ((~xuntil22(s20)) | until21(s21)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6239, 2065, 5970])).
% 1.04/1.16 tff(6241,plain,
% 1.04/1.16 (until21(s21)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6240, 6236])).
% 1.04/1.16 tff(6242,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s21) | node20(s21) | (~until21(s21)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s21) | node20(s21) | (~until21(s21)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6243,plain,
% 1.04/1.16 ((node20(s21) | (~until21(s21)) | xuntil22(s21)) <=> (xuntil22(s21) | node20(s21) | (~until21(s21)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6244,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s21) | (~until21(s21)) | xuntil22(s21))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s21) | node20(s21) | (~until21(s21))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6243])).
% 1.04/1.16 tff(6245,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s21) | (~until21(s21)) | xuntil22(s21))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s21) | node20(s21) | (~until21(s21)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6244, 6242])).
% 1.04/1.16 tff(6246,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s21) | (~until21(s21)) | xuntil22(s21))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6247,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s21) | node20(s21) | (~until21(s21))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6246, 6245])).
% 1.04/1.16 tff(6248,plain,
% 1.04/1.16 (xuntil22(s21)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6247, 5952, 6241, 5766])).
% 1.04/1.16 tff(6249,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6250,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6251,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 1.04/1.16 tff(6252,plain,
% 1.04/1.16 ((~xuntil22(s21)) | until21(s22)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6251, 2160, 5970])).
% 1.04/1.16 tff(6253,plain,
% 1.04/1.16 (until21(s22)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6252, 6248])).
% 1.04/1.16 tff(6254,plain,
% 1.04/1.16 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s22) | (~node20(s22)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s22) | (~node20(s22)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6255,plain,
% 1.04/1.16 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s22) | (~node20(s22)))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6256,plain,
% 1.04/1.16 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s22) | (~node20(s22))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 1.04/1.16 tff(6257,plain,
% 1.04/1.16 (~node20(s22)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6256, 5449, 5757])).
% 1.04/1.16 tff(6258,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s22) | node20(s22) | (~until21(s22)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s22) | node20(s22) | (~until21(s22)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6259,plain,
% 1.04/1.16 ((node20(s22) | (~until21(s22)) | xuntil22(s22)) <=> (xuntil22(s22) | node20(s22) | (~until21(s22)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6260,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s22) | (~until21(s22)) | xuntil22(s22))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s22) | node20(s22) | (~until21(s22))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6259])).
% 1.04/1.16 tff(6261,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s22) | (~until21(s22)) | xuntil22(s22))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s22) | node20(s22) | (~until21(s22)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6260, 6258])).
% 1.04/1.16 tff(6262,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s22) | (~until21(s22)) | xuntil22(s22))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6263,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s22) | node20(s22) | (~until21(s22))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 1.04/1.16 tff(6264,plain,
% 1.04/1.16 (xuntil22(s22) | (~until21(s22))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6263, 5952, 6257])).
% 1.04/1.16 tff(6265,plain,
% 1.04/1.16 (xuntil22(s22)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6264, 6253])).
% 1.04/1.16 tff(6266,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6267,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6268,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s22, s23)) | (~xuntil22(s22)) | until21(s23)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 1.04/1.16 tff(6269,plain,
% 1.04/1.16 ((~xuntil22(s22)) | until21(s23)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6268, 2224, 5970])).
% 1.04/1.16 tff(6270,plain,
% 1.04/1.16 (until21(s23)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6269, 6265])).
% 1.04/1.16 tff(6271,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s23) | node20(s23) | (~until21(s23)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s23) | node20(s23) | (~until21(s23)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6272,plain,
% 1.04/1.16 ((node20(s23) | (~until21(s23)) | xuntil22(s23)) <=> (xuntil22(s23) | node20(s23) | (~until21(s23)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6273,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s23) | (~until21(s23)) | xuntil22(s23))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s23) | node20(s23) | (~until21(s23))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6272])).
% 1.04/1.16 tff(6274,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s23) | (~until21(s23)) | xuntil22(s23))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s23) | node20(s23) | (~until21(s23)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6273, 6271])).
% 1.04/1.16 tff(6275,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s23) | (~until21(s23)) | xuntil22(s23))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6276,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s23) | node20(s23) | (~until21(s23))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6275, 6274])).
% 1.04/1.16 tff(6277,plain,
% 1.04/1.16 (xuntil22(s23)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6276, 5952, 6270, 5750])).
% 1.04/1.16 tff(6278,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6279,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6280,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6279, 6278])).
% 1.04/1.16 tff(6281,plain,
% 1.04/1.16 ((~xuntil22(s23)) | until21(s24)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6280, 2299, 5970])).
% 1.04/1.16 tff(6282,plain,
% 1.04/1.16 (until21(s24)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6281, 6277])).
% 1.04/1.16 tff(6283,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s24) | node20(s24) | (~until21(s24)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s24) | node20(s24) | (~until21(s24)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6284,plain,
% 1.04/1.16 ((node20(s24) | (~until21(s24)) | xuntil22(s24)) <=> (xuntil22(s24) | node20(s24) | (~until21(s24)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6285,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s24) | (~until21(s24)) | xuntil22(s24))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s24) | node20(s24) | (~until21(s24))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6284])).
% 1.04/1.16 tff(6286,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s24) | (~until21(s24)) | xuntil22(s24))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s24) | node20(s24) | (~until21(s24)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6285, 6283])).
% 1.04/1.16 tff(6287,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s24) | (~until21(s24)) | xuntil22(s24))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6288,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s24) | node20(s24) | (~until21(s24))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6287, 6286])).
% 1.04/1.16 tff(6289,plain,
% 1.04/1.16 (xuntil22(s24) | node20(s24)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6288, 5952, 6282])).
% 1.04/1.16 tff(6290,plain,
% 1.04/1.16 (xuntil22(s24)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6289, 5742])).
% 1.04/1.16 tff(6291,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6292,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6293,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6292, 6291])).
% 1.04/1.16 tff(6294,plain,
% 1.04/1.16 ((~xuntil22(s24)) | until21(s25)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6293, 2388, 5970])).
% 1.04/1.16 tff(6295,plain,
% 1.04/1.16 (until21(s25)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6294, 6290])).
% 1.04/1.16 tff(6296,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s25) | node20(s25) | (~until21(s25)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s25) | node20(s25) | (~until21(s25)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6297,plain,
% 1.04/1.16 ((node20(s25) | (~until21(s25)) | xuntil22(s25)) <=> (xuntil22(s25) | node20(s25) | (~until21(s25)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6298,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s25) | (~until21(s25)) | xuntil22(s25))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s25) | node20(s25) | (~until21(s25))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6297])).
% 1.04/1.16 tff(6299,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s25) | (~until21(s25)) | xuntil22(s25))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s25) | node20(s25) | (~until21(s25)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6298, 6296])).
% 1.04/1.16 tff(6300,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s25) | (~until21(s25)) | xuntil22(s25))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6301,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s25) | node20(s25) | (~until21(s25))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 1.04/1.16 tff(6302,plain,
% 1.04/1.16 (xuntil22(s25)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6301, 5952, 6295, 5733])).
% 1.04/1.16 tff(6303,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6304,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6305,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 1.04/1.16 tff(6306,plain,
% 1.04/1.16 ((~xuntil22(s25)) | until21(s26)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6305, 2455, 5970])).
% 1.04/1.16 tff(6307,plain,
% 1.04/1.16 (until21(s26)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6306, 6302])).
% 1.04/1.16 tff(6308,plain,
% 1.04/1.16 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s26) | (~node20(s26)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s26) | (~node20(s26)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6309,plain,
% 1.04/1.16 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s26) | (~node20(s26)))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6310,plain,
% 1.04/1.16 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s26) | (~node20(s26))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6309, 6308])).
% 1.04/1.16 tff(6311,plain,
% 1.04/1.16 (~node20(s26)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6310, 5449, 5724])).
% 1.04/1.16 tff(6312,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s26) | node20(s26) | (~until21(s26)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s26) | node20(s26) | (~until21(s26)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6313,plain,
% 1.04/1.16 ((node20(s26) | (~until21(s26)) | xuntil22(s26)) <=> (xuntil22(s26) | node20(s26) | (~until21(s26)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6314,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s26) | (~until21(s26)) | xuntil22(s26))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s26) | node20(s26) | (~until21(s26))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6313])).
% 1.04/1.16 tff(6315,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s26) | (~until21(s26)) | xuntil22(s26))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s26) | node20(s26) | (~until21(s26)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6314, 6312])).
% 1.04/1.16 tff(6316,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s26) | (~until21(s26)) | xuntil22(s26))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6317,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s26) | node20(s26) | (~until21(s26))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6316, 6315])).
% 1.04/1.16 tff(6318,plain,
% 1.04/1.16 (xuntil22(s26) | (~until21(s26))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6317, 5952, 6311])).
% 1.04/1.16 tff(6319,plain,
% 1.04/1.16 (xuntil22(s26)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6318, 6307])).
% 1.04/1.16 tff(6320,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6321,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6322,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 1.04/1.16 tff(6323,plain,
% 1.04/1.16 ((~xuntil22(s26)) | until21(s27)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6322, 2554, 5970])).
% 1.04/1.16 tff(6324,plain,
% 1.04/1.16 (until21(s27)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6323, 6319])).
% 1.04/1.16 tff(6325,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s27) | node20(s27) | (~until21(s27)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s27) | node20(s27) | (~until21(s27)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6326,plain,
% 1.04/1.16 ((node20(s27) | (~until21(s27)) | xuntil22(s27)) <=> (xuntil22(s27) | node20(s27) | (~until21(s27)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6327,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s27) | (~until21(s27)) | xuntil22(s27))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s27) | node20(s27) | (~until21(s27))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6326])).
% 1.04/1.16 tff(6328,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s27) | (~until21(s27)) | xuntil22(s27))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s27) | node20(s27) | (~until21(s27)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6327, 6325])).
% 1.04/1.16 tff(6329,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s27) | (~until21(s27)) | xuntil22(s27))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6330,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s27) | node20(s27) | (~until21(s27))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 1.04/1.16 tff(6331,plain,
% 1.04/1.16 (xuntil22(s27)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6330, 5952, 6324, 5717])).
% 1.04/1.16 tff(6332,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6333,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6334,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 1.04/1.16 tff(6335,plain,
% 1.04/1.16 ((~xuntil22(s27)) | until21(s28)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6334, 2632, 5970])).
% 1.04/1.16 tff(6336,plain,
% 1.04/1.16 (until21(s28)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6335, 6331])).
% 1.04/1.16 tff(6337,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s28) | node20(s28) | (~until21(s28)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s28) | node20(s28) | (~until21(s28)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6338,plain,
% 1.04/1.16 ((node20(s28) | (~until21(s28)) | xuntil22(s28)) <=> (xuntil22(s28) | node20(s28) | (~until21(s28)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6339,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s28) | (~until21(s28)) | xuntil22(s28))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s28) | node20(s28) | (~until21(s28))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6338])).
% 1.04/1.16 tff(6340,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s28) | (~until21(s28)) | xuntil22(s28))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s28) | node20(s28) | (~until21(s28)))),
% 1.04/1.16 inference(transitivity,[status(thm)],[6339, 6337])).
% 1.04/1.16 tff(6341,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s28) | (~until21(s28)) | xuntil22(s28))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6342,plain,
% 1.04/1.16 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s28) | node20(s28) | (~until21(s28))),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6341, 6340])).
% 1.04/1.16 tff(6343,plain,
% 1.04/1.16 (xuntil22(s28) | node20(s28)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6342, 5952, 6336])).
% 1.04/1.16 tff(6344,plain,
% 1.04/1.16 (xuntil22(s28)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6343, 5709])).
% 1.04/1.16 tff(6345,plain,
% 1.04/1.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6346,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29))),
% 1.04/1.16 inference(quant_inst,[status(thm)],[])).
% 1.04/1.16 tff(6347,plain,
% 1.04/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[6346, 6345])).
% 1.04/1.16 tff(6348,plain,
% 1.04/1.16 ((~xuntil22(s28)) | until21(s29)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6347, 2693, 5970])).
% 1.04/1.16 tff(6349,plain,
% 1.04/1.16 (until21(s29)),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[6348, 6344])).
% 1.04/1.16 tff(6350,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s29) | node20(s29) | (~until21(s29)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s29) | node20(s29) | (~until21(s29)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6351,plain,
% 1.04/1.16 ((node20(s29) | (~until21(s29)) | xuntil22(s29)) <=> (xuntil22(s29) | node20(s29) | (~until21(s29)))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(6352,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s29) | (~until21(s29)) | xuntil22(s29))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s29) | node20(s29) | (~until21(s29))))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[6351])).
% 1.04/1.16 tff(6353,plain,
% 1.04/1.16 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s29) | (~until21(s29)) | xuntil22(s29))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s29) | node20(s29) | (~until21(s29)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6352, 6350])).
% 1.04/1.17 tff(6354,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s29) | (~until21(s29)) | xuntil22(s29))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6355,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s29) | node20(s29) | (~until21(s29))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 1.04/1.17 tff(6356,plain,
% 1.04/1.17 (xuntil22(s29)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6355, 5952, 6349, 5700])).
% 1.04/1.17 tff(6357,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6358,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6359,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6358, 6357])).
% 1.04/1.17 tff(6360,plain,
% 1.04/1.17 ((~xuntil22(s29)) | until21(s30)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6359, 2788, 5970])).
% 1.04/1.17 tff(6361,plain,
% 1.04/1.17 (until21(s30)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6360, 6356])).
% 1.04/1.17 tff(6362,plain,
% 1.04/1.17 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s30) | (~node20(s30)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s30) | (~node20(s30)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6363,plain,
% 1.04/1.17 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s30) | (~node20(s30)))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6364,plain,
% 1.04/1.17 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s30) | (~node20(s30))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 1.04/1.17 tff(6365,plain,
% 1.04/1.17 (~node20(s30)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6364, 5449, 5691])).
% 1.04/1.17 tff(6366,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s30) | node20(s30) | (~until21(s30)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s30) | node20(s30) | (~until21(s30)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6367,plain,
% 1.04/1.17 ((node20(s30) | (~until21(s30)) | xuntil22(s30)) <=> (xuntil22(s30) | node20(s30) | (~until21(s30)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6368,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s30) | (~until21(s30)) | xuntil22(s30))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s30) | node20(s30) | (~until21(s30))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6367])).
% 1.04/1.17 tff(6369,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s30) | (~until21(s30)) | xuntil22(s30))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s30) | node20(s30) | (~until21(s30)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6368, 6366])).
% 1.04/1.17 tff(6370,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s30) | (~until21(s30)) | xuntil22(s30))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6371,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s30) | node20(s30) | (~until21(s30))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 1.04/1.17 tff(6372,plain,
% 1.04/1.17 (xuntil22(s30) | (~until21(s30))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6371, 5952, 6365])).
% 1.04/1.17 tff(6373,plain,
% 1.04/1.17 (xuntil22(s30)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6372, 6361])).
% 1.04/1.17 tff(6374,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6375,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6376,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 1.04/1.17 tff(6377,plain,
% 1.04/1.17 ((~xuntil22(s30)) | until21(s31)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6376, 2852, 5970])).
% 1.04/1.17 tff(6378,plain,
% 1.04/1.17 (until21(s31)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6377, 6373])).
% 1.04/1.17 tff(6379,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s31) | node20(s31) | (~until21(s31)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s31) | node20(s31) | (~until21(s31)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6380,plain,
% 1.04/1.17 ((node20(s31) | (~until21(s31)) | xuntil22(s31)) <=> (xuntil22(s31) | node20(s31) | (~until21(s31)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6381,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s31) | (~until21(s31)) | xuntil22(s31))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s31) | node20(s31) | (~until21(s31))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6380])).
% 1.04/1.17 tff(6382,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s31) | (~until21(s31)) | xuntil22(s31))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s31) | node20(s31) | (~until21(s31)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6381, 6379])).
% 1.04/1.17 tff(6383,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s31) | (~until21(s31)) | xuntil22(s31))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6384,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s31) | node20(s31) | (~until21(s31))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 1.04/1.17 tff(6385,plain,
% 1.04/1.17 (xuntil22(s31)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6384, 5952, 6378, 5684])).
% 1.04/1.17 tff(6386,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6387,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6388,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 1.04/1.17 tff(6389,plain,
% 1.04/1.17 ((~xuntil22(s31)) | until21(s32)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6388, 2927, 5970])).
% 1.04/1.17 tff(6390,plain,
% 1.04/1.17 (until21(s32)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6389, 6385])).
% 1.04/1.17 tff(6391,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s32) | node20(s32) | (~until21(s32)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s32) | node20(s32) | (~until21(s32)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6392,plain,
% 1.04/1.17 ((node20(s32) | (~until21(s32)) | xuntil22(s32)) <=> (xuntil22(s32) | node20(s32) | (~until21(s32)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6393,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s32) | (~until21(s32)) | xuntil22(s32))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s32) | node20(s32) | (~until21(s32))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6392])).
% 1.04/1.17 tff(6394,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s32) | (~until21(s32)) | xuntil22(s32))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s32) | node20(s32) | (~until21(s32)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6393, 6391])).
% 1.04/1.17 tff(6395,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s32) | (~until21(s32)) | xuntil22(s32))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6396,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s32) | node20(s32) | (~until21(s32))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6395, 6394])).
% 1.04/1.17 tff(6397,plain,
% 1.04/1.17 (xuntil22(s32) | node20(s32)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6396, 5952, 6390])).
% 1.04/1.17 tff(6398,plain,
% 1.04/1.17 (xuntil22(s32)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6397, 5676])).
% 1.04/1.17 tff(6399,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6400,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6401,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 1.04/1.17 tff(6402,plain,
% 1.04/1.17 ((~xuntil22(s32)) | until21(s33)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6401, 3016, 5970])).
% 1.04/1.17 tff(6403,plain,
% 1.04/1.17 (until21(s33)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6402, 6398])).
% 1.04/1.17 tff(6404,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s33) | node20(s33) | (~until21(s33)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s33) | node20(s33) | (~until21(s33)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6405,plain,
% 1.04/1.17 ((node20(s33) | (~until21(s33)) | xuntil22(s33)) <=> (xuntil22(s33) | node20(s33) | (~until21(s33)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6406,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s33) | (~until21(s33)) | xuntil22(s33))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s33) | node20(s33) | (~until21(s33))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6405])).
% 1.04/1.17 tff(6407,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s33) | (~until21(s33)) | xuntil22(s33))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s33) | node20(s33) | (~until21(s33)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6406, 6404])).
% 1.04/1.17 tff(6408,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s33) | (~until21(s33)) | xuntil22(s33))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6409,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s33) | node20(s33) | (~until21(s33))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 1.04/1.17 tff(6410,plain,
% 1.04/1.17 (xuntil22(s33)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6409, 5952, 6403, 5667])).
% 1.04/1.17 tff(6411,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6412,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6413,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6412, 6411])).
% 1.04/1.17 tff(6414,plain,
% 1.04/1.17 ((~xuntil22(s33)) | until21(s34)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6413, 3083, 5970])).
% 1.04/1.17 tff(6415,plain,
% 1.04/1.17 (until21(s34)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6414, 6410])).
% 1.04/1.17 tff(6416,plain,
% 1.04/1.17 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s34) | (~node20(s34)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s34) | (~node20(s34)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6417,plain,
% 1.04/1.17 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s34) | (~node20(s34)))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6418,plain,
% 1.04/1.17 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s34) | (~node20(s34))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 1.04/1.17 tff(6419,plain,
% 1.04/1.17 (~node20(s34)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6418, 5449, 5658])).
% 1.04/1.17 tff(6420,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s34) | node20(s34) | (~until21(s34)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s34) | node20(s34) | (~until21(s34)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6421,plain,
% 1.04/1.17 ((node20(s34) | (~until21(s34)) | xuntil22(s34)) <=> (xuntil22(s34) | node20(s34) | (~until21(s34)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6422,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s34) | (~until21(s34)) | xuntil22(s34))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s34) | node20(s34) | (~until21(s34))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6421])).
% 1.04/1.17 tff(6423,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s34) | (~until21(s34)) | xuntil22(s34))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s34) | node20(s34) | (~until21(s34)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6422, 6420])).
% 1.04/1.17 tff(6424,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s34) | (~until21(s34)) | xuntil22(s34))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6425,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s34) | node20(s34) | (~until21(s34))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6424, 6423])).
% 1.04/1.17 tff(6426,plain,
% 1.04/1.17 (xuntil22(s34) | (~until21(s34))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6425, 5952, 6419])).
% 1.04/1.17 tff(6427,plain,
% 1.04/1.17 (xuntil22(s34)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6426, 6415])).
% 1.04/1.17 tff(6428,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6429,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6430,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 1.04/1.17 tff(6431,plain,
% 1.04/1.17 ((~xuntil22(s34)) | until21(s35)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6430, 3182, 5970])).
% 1.04/1.17 tff(6432,plain,
% 1.04/1.17 (until21(s35)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6431, 6427])).
% 1.04/1.17 tff(6433,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s35) | node20(s35) | (~until21(s35)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s35) | node20(s35) | (~until21(s35)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6434,plain,
% 1.04/1.17 ((node20(s35) | (~until21(s35)) | xuntil22(s35)) <=> (xuntil22(s35) | node20(s35) | (~until21(s35)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6435,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s35) | (~until21(s35)) | xuntil22(s35))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s35) | node20(s35) | (~until21(s35))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6434])).
% 1.04/1.17 tff(6436,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s35) | (~until21(s35)) | xuntil22(s35))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s35) | node20(s35) | (~until21(s35)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6435, 6433])).
% 1.04/1.17 tff(6437,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s35) | (~until21(s35)) | xuntil22(s35))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6438,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s35) | node20(s35) | (~until21(s35))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 1.04/1.17 tff(6439,plain,
% 1.04/1.17 (xuntil22(s35)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6438, 5952, 6432, 5651])).
% 1.04/1.17 tff(6440,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6441,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6442,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6441, 6440])).
% 1.04/1.17 tff(6443,plain,
% 1.04/1.17 ((~xuntil22(s35)) | until21(s36)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6442, 3260, 5970])).
% 1.04/1.17 tff(6444,plain,
% 1.04/1.17 (until21(s36)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6443, 6439])).
% 1.04/1.17 tff(6445,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s36) | node20(s36) | (~until21(s36)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s36) | node20(s36) | (~until21(s36)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6446,plain,
% 1.04/1.17 ((node20(s36) | (~until21(s36)) | xuntil22(s36)) <=> (xuntil22(s36) | node20(s36) | (~until21(s36)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6447,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s36) | (~until21(s36)) | xuntil22(s36))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s36) | node20(s36) | (~until21(s36))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6446])).
% 1.04/1.17 tff(6448,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s36) | (~until21(s36)) | xuntil22(s36))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s36) | node20(s36) | (~until21(s36)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6447, 6445])).
% 1.04/1.17 tff(6449,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s36) | (~until21(s36)) | xuntil22(s36))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6450,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s36) | node20(s36) | (~until21(s36))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6449, 6448])).
% 1.04/1.17 tff(6451,plain,
% 1.04/1.17 (xuntil22(s36) | node20(s36)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6450, 5952, 6444])).
% 1.04/1.17 tff(6452,plain,
% 1.04/1.17 (xuntil22(s36)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6451, 5643])).
% 1.04/1.17 tff(6453,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6454,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6455,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 1.04/1.17 tff(6456,plain,
% 1.04/1.17 ((~xuntil22(s36)) | until21(s37)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6455, 3321, 5970])).
% 1.04/1.17 tff(6457,plain,
% 1.04/1.17 (until21(s37)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6456, 6452])).
% 1.04/1.17 tff(6458,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s37) | node20(s37) | (~until21(s37)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s37) | node20(s37) | (~until21(s37)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6459,plain,
% 1.04/1.17 ((node20(s37) | (~until21(s37)) | xuntil22(s37)) <=> (xuntil22(s37) | node20(s37) | (~until21(s37)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6460,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s37) | (~until21(s37)) | xuntil22(s37))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s37) | node20(s37) | (~until21(s37))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6459])).
% 1.04/1.17 tff(6461,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s37) | (~until21(s37)) | xuntil22(s37))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s37) | node20(s37) | (~until21(s37)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6460, 6458])).
% 1.04/1.17 tff(6462,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s37) | (~until21(s37)) | xuntil22(s37))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6463,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s37) | node20(s37) | (~until21(s37))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6462, 6461])).
% 1.04/1.17 tff(6464,plain,
% 1.04/1.17 (xuntil22(s37)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6463, 5952, 6457, 5634])).
% 1.04/1.17 tff(6465,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6466,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6467,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6466, 6465])).
% 1.04/1.17 tff(6468,plain,
% 1.04/1.17 ((~xuntil22(s37)) | until21(s38)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6467, 3416, 5970])).
% 1.04/1.17 tff(6469,plain,
% 1.04/1.17 (until21(s38)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6468, 6464])).
% 1.04/1.17 tff(6470,plain,
% 1.04/1.17 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s38) | (~node20(s38)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s38) | (~node20(s38)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6471,plain,
% 1.04/1.17 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s38) | (~node20(s38)))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6472,plain,
% 1.04/1.17 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s38) | (~node20(s38))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 1.04/1.17 tff(6473,plain,
% 1.04/1.17 (~node20(s38)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6472, 5449, 5625])).
% 1.04/1.17 tff(6474,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s38) | node20(s38) | (~until21(s38)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s38) | node20(s38) | (~until21(s38)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6475,plain,
% 1.04/1.17 ((node20(s38) | (~until21(s38)) | xuntil22(s38)) <=> (xuntil22(s38) | node20(s38) | (~until21(s38)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6476,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s38) | (~until21(s38)) | xuntil22(s38))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s38) | node20(s38) | (~until21(s38))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6475])).
% 1.04/1.17 tff(6477,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s38) | (~until21(s38)) | xuntil22(s38))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s38) | node20(s38) | (~until21(s38)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6476, 6474])).
% 1.04/1.17 tff(6478,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s38) | (~until21(s38)) | xuntil22(s38))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6479,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s38) | node20(s38) | (~until21(s38))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6478, 6477])).
% 1.04/1.17 tff(6480,plain,
% 1.04/1.17 (xuntil22(s38) | (~until21(s38))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6479, 5952, 6473])).
% 1.04/1.17 tff(6481,plain,
% 1.04/1.17 (xuntil22(s38)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6480, 6469])).
% 1.04/1.17 tff(6482,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6483,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6484,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 1.04/1.17 tff(6485,plain,
% 1.04/1.17 ((~xuntil22(s38)) | until21(s39)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6484, 3480, 5970])).
% 1.04/1.17 tff(6486,plain,
% 1.04/1.17 (until21(s39)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6485, 6481])).
% 1.04/1.17 tff(6487,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s39) | node20(s39) | (~until21(s39)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s39) | node20(s39) | (~until21(s39)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6488,plain,
% 1.04/1.17 ((node20(s39) | (~until21(s39)) | xuntil22(s39)) <=> (xuntil22(s39) | node20(s39) | (~until21(s39)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6489,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s39) | (~until21(s39)) | xuntil22(s39))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s39) | node20(s39) | (~until21(s39))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6488])).
% 1.04/1.17 tff(6490,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s39) | (~until21(s39)) | xuntil22(s39))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s39) | node20(s39) | (~until21(s39)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6489, 6487])).
% 1.04/1.17 tff(6491,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s39) | (~until21(s39)) | xuntil22(s39))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6492,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s39) | node20(s39) | (~until21(s39))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 1.04/1.17 tff(6493,plain,
% 1.04/1.17 (xuntil22(s39)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6492, 5952, 6486, 5618])).
% 1.04/1.17 tff(6494,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6495,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6496,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 1.04/1.17 tff(6497,plain,
% 1.04/1.17 ((~xuntil22(s39)) | until21(s40)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6496, 3555, 5970])).
% 1.04/1.17 tff(6498,plain,
% 1.04/1.17 (until21(s40)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6497, 6493])).
% 1.04/1.17 tff(6499,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s40) | node20(s40) | (~until21(s40)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s40) | node20(s40) | (~until21(s40)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6500,plain,
% 1.04/1.17 ((node20(s40) | (~until21(s40)) | xuntil22(s40)) <=> (xuntil22(s40) | node20(s40) | (~until21(s40)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6501,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s40) | (~until21(s40)) | xuntil22(s40))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s40) | node20(s40) | (~until21(s40))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6500])).
% 1.04/1.17 tff(6502,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s40) | (~until21(s40)) | xuntil22(s40))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s40) | node20(s40) | (~until21(s40)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6501, 6499])).
% 1.04/1.17 tff(6503,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s40) | (~until21(s40)) | xuntil22(s40))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6504,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s40) | node20(s40) | (~until21(s40))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 1.04/1.17 tff(6505,plain,
% 1.04/1.17 (xuntil22(s40) | node20(s40)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6504, 5952, 6498])).
% 1.04/1.17 tff(6506,plain,
% 1.04/1.17 (xuntil22(s40)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6505, 5610])).
% 1.04/1.17 tff(6507,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6508,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6509,plain,
% 1.04/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41)),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 1.04/1.17 tff(6510,plain,
% 1.04/1.17 ((~xuntil22(s40)) | until21(s41)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6509, 3644, 5970])).
% 1.04/1.17 tff(6511,plain,
% 1.04/1.17 (until21(s41)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6510, 6506])).
% 1.04/1.17 tff(6512,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s41) | node20(s41) | (~until21(s41)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s41) | node20(s41) | (~until21(s41)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6513,plain,
% 1.04/1.17 ((node20(s41) | (~until21(s41)) | xuntil22(s41)) <=> (xuntil22(s41) | node20(s41) | (~until21(s41)))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.17 tff(6514,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s41) | (~until21(s41)) | xuntil22(s41))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s41) | node20(s41) | (~until21(s41))))),
% 1.04/1.17 inference(monotonicity,[status(thm)],[6513])).
% 1.04/1.17 tff(6515,plain,
% 1.04/1.17 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s41) | (~until21(s41)) | xuntil22(s41))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s41) | node20(s41) | (~until21(s41)))),
% 1.04/1.17 inference(transitivity,[status(thm)],[6514, 6512])).
% 1.04/1.17 tff(6516,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s41) | (~until21(s41)) | xuntil22(s41))),
% 1.04/1.17 inference(quant_inst,[status(thm)],[])).
% 1.04/1.17 tff(6517,plain,
% 1.04/1.17 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s41) | node20(s41) | (~until21(s41))),
% 1.04/1.17 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 1.04/1.17 tff(6518,plain,
% 1.04/1.17 (xuntil22(s41)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[6517, 5952, 6511, 5601])).
% 1.04/1.17 tff(6519,plain,
% 1.04/1.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42))),
% 1.04/1.17 inference(rewrite,[status(thm)],[])).
% 1.04/1.18 tff(6520,plain,
% 1.04/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42))),
% 1.04/1.18 inference(quant_inst,[status(thm)],[])).
% 1.04/1.18 tff(6521,plain,
% 1.04/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42)),
% 1.04/1.18 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 1.04/1.18 tff(6522,plain,
% 1.04/1.18 ((~xuntil22(s41)) | until21(s42)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[6521, 3711, 5970])).
% 1.04/1.18 tff(6523,plain,
% 1.04/1.18 (until21(s42)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[6522, 6518])).
% 1.04/1.18 tff(6524,plain,
% 1.04/1.18 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s42) | (~node20(s42)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s42) | (~node20(s42)))),
% 1.04/1.18 inference(rewrite,[status(thm)],[])).
% 1.04/1.18 tff(6525,plain,
% 1.04/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s42) | (~node20(s42)))),
% 1.04/1.18 inference(quant_inst,[status(thm)],[])).
% 1.04/1.18 tff(6526,plain,
% 1.04/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s42) | (~node20(s42))),
% 1.04/1.18 inference(modus_ponens,[status(thm)],[6525, 6524])).
% 1.04/1.18 tff(6527,plain,
% 1.04/1.18 (~node20(s42)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[6526, 5449, 5592])).
% 1.04/1.18 tff(6528,plain,
% 1.04/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s42) | node20(s42) | (~until21(s42)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s42) | node20(s42) | (~until21(s42)))),
% 1.04/1.18 inference(rewrite,[status(thm)],[])).
% 1.04/1.18 tff(6529,plain,
% 1.04/1.18 ((node20(s42) | (~until21(s42)) | xuntil22(s42)) <=> (xuntil22(s42) | node20(s42) | (~until21(s42)))),
% 1.04/1.18 inference(rewrite,[status(thm)],[])).
% 1.04/1.18 tff(6530,plain,
% 1.04/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s42) | (~until21(s42)) | xuntil22(s42))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s42) | node20(s42) | (~until21(s42))))),
% 1.04/1.18 inference(monotonicity,[status(thm)],[6529])).
% 1.04/1.18 tff(6531,plain,
% 1.04/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s42) | (~until21(s42)) | xuntil22(s42))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s42) | node20(s42) | (~until21(s42)))),
% 1.04/1.18 inference(transitivity,[status(thm)],[6530, 6528])).
% 1.04/1.18 tff(6532,plain,
% 1.04/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s42) | (~until21(s42)) | xuntil22(s42))),
% 1.04/1.18 inference(quant_inst,[status(thm)],[])).
% 1.04/1.18 tff(6533,plain,
% 1.04/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s42) | node20(s42) | (~until21(s42))),
% 1.04/1.18 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 1.04/1.18 tff(6534,plain,
% 1.04/1.18 (xuntil22(s42) | (~until21(s42))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[6533, 5952, 6527])).
% 1.04/1.18 tff(6535,plain,
% 1.04/1.18 (xuntil22(s42)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[6534, 6523])).
% 1.04/1.18 tff(6536,plain,
% 1.04/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43))),
% 1.04/1.18 inference(rewrite,[status(thm)],[])).
% 1.04/1.18 tff(6537,plain,
% 1.04/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43))),
% 1.04/1.18 inference(quant_inst,[status(thm)],[])).
% 1.04/1.18 tff(6538,plain,
% 1.04/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43)),
% 1.04/1.18 inference(modus_ponens,[status(thm)],[6537, 6536])).
% 1.04/1.18 tff(6539,plain,
% 1.04/1.18 ((~xuntil22(s42)) | until21(s43)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[6538, 3810, 5970])).
% 1.04/1.18 tff(6540,plain,
% 1.04/1.18 (until21(s43)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[6539, 6535])).
% 1.04/1.18 tff(6541,plain,
% 1.04/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s43) | node20(s43) | (~until21(s43)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s43) | node20(s43) | (~until21(s43)))),
% 1.04/1.18 inference(rewrite,[status(thm)],[])).
% 1.04/1.18 tff(6542,plain,
% 1.04/1.18 ((node20(s43) | (~until21(s43)) | xuntil22(s43)) <=> (xuntil22(s43) | node20(s43) | (~until21(s43)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6543,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s43) | (~until21(s43)) | xuntil22(s43))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s43) | node20(s43) | (~until21(s43))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6542])).
% 1.15/1.18 tff(6544,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s43) | (~until21(s43)) | xuntil22(s43))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s43) | node20(s43) | (~until21(s43)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6543, 6541])).
% 1.15/1.18 tff(6545,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s43) | (~until21(s43)) | xuntil22(s43))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6546,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s43) | node20(s43) | (~until21(s43))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 1.15/1.18 tff(6547,plain,
% 1.15/1.18 (xuntil22(s43)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6546, 5952, 6540, 5585])).
% 1.15/1.18 tff(6548,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6549,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6550,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 1.15/1.18 tff(6551,plain,
% 1.15/1.18 ((~xuntil22(s43)) | until21(s44)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6550, 3888, 5970])).
% 1.15/1.18 tff(6552,plain,
% 1.15/1.18 (until21(s44)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6551, 6547])).
% 1.15/1.18 tff(6553,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s44) | node20(s44) | (~until21(s44)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s44) | node20(s44) | (~until21(s44)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6554,plain,
% 1.15/1.18 ((node20(s44) | (~until21(s44)) | xuntil22(s44)) <=> (xuntil22(s44) | node20(s44) | (~until21(s44)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6555,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s44) | (~until21(s44)) | xuntil22(s44))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s44) | node20(s44) | (~until21(s44))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6554])).
% 1.15/1.18 tff(6556,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s44) | (~until21(s44)) | xuntil22(s44))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s44) | node20(s44) | (~until21(s44)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6555, 6553])).
% 1.15/1.18 tff(6557,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s44) | (~until21(s44)) | xuntil22(s44))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6558,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s44) | node20(s44) | (~until21(s44))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 1.15/1.18 tff(6559,plain,
% 1.15/1.18 (xuntil22(s44) | node20(s44)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6558, 5952, 6552])).
% 1.15/1.18 tff(6560,plain,
% 1.15/1.18 (xuntil22(s44)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6559, 5577])).
% 1.15/1.18 tff(6561,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6562,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6563,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 1.15/1.18 tff(6564,plain,
% 1.15/1.18 ((~xuntil22(s44)) | until21(s45)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6563, 3949, 5970])).
% 1.15/1.18 tff(6565,plain,
% 1.15/1.18 (until21(s45)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6564, 6560])).
% 1.15/1.18 tff(6566,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s45) | node20(s45) | (~until21(s45)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s45) | node20(s45) | (~until21(s45)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6567,plain,
% 1.15/1.18 ((node20(s45) | (~until21(s45)) | xuntil22(s45)) <=> (xuntil22(s45) | node20(s45) | (~until21(s45)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6568,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s45) | (~until21(s45)) | xuntil22(s45))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s45) | node20(s45) | (~until21(s45))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6567])).
% 1.15/1.18 tff(6569,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s45) | (~until21(s45)) | xuntil22(s45))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s45) | node20(s45) | (~until21(s45)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6568, 6566])).
% 1.15/1.18 tff(6570,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s45) | (~until21(s45)) | xuntil22(s45))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6571,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s45) | node20(s45) | (~until21(s45))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 1.15/1.18 tff(6572,plain,
% 1.15/1.18 (xuntil22(s45)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6571, 5952, 6565, 5573])).
% 1.15/1.18 tff(6573,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6574,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6575,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 1.15/1.18 tff(6576,plain,
% 1.15/1.18 ((~xuntil22(s45)) | until21(s46)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6575, 4044, 5970])).
% 1.15/1.18 tff(6577,plain,
% 1.15/1.18 (until21(s46)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6576, 6572])).
% 1.15/1.18 tff(6578,plain,
% 1.15/1.18 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s46) | (~node20(s46)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s46) | (~node20(s46)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6579,plain,
% 1.15/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s46) | (~node20(s46)))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6580,plain,
% 1.15/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s46) | (~node20(s46))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 1.15/1.18 tff(6581,plain,
% 1.15/1.18 (~node20(s46)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6580, 5449, 4074])).
% 1.15/1.18 tff(6582,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s46) | node20(s46) | (~until21(s46)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s46) | node20(s46) | (~until21(s46)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6583,plain,
% 1.15/1.18 ((node20(s46) | (~until21(s46)) | xuntil22(s46)) <=> (xuntil22(s46) | node20(s46) | (~until21(s46)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6584,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s46) | (~until21(s46)) | xuntil22(s46))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s46) | node20(s46) | (~until21(s46))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6583])).
% 1.15/1.18 tff(6585,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s46) | (~until21(s46)) | xuntil22(s46))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s46) | node20(s46) | (~until21(s46)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6584, 6582])).
% 1.15/1.18 tff(6586,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s46) | (~until21(s46)) | xuntil22(s46))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6587,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s46) | node20(s46) | (~until21(s46))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 1.15/1.18 tff(6588,plain,
% 1.15/1.18 (xuntil22(s46) | (~until21(s46))),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6587, 5952, 6581])).
% 1.15/1.18 tff(6589,plain,
% 1.15/1.18 (xuntil22(s46)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6588, 6577])).
% 1.15/1.18 tff(6590,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6591,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6592,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 1.15/1.18 tff(6593,plain,
% 1.15/1.18 ((~xuntil22(s46)) | until21(s47)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6592, 4143, 5970])).
% 1.15/1.18 tff(6594,plain,
% 1.15/1.18 (until21(s47)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6593, 6589])).
% 1.15/1.18 tff(6595,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s47) | node20(s47) | (~until21(s47)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s47) | node20(s47) | (~until21(s47)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6596,plain,
% 1.15/1.18 ((node20(s47) | (~until21(s47)) | xuntil22(s47)) <=> (xuntil22(s47) | node20(s47) | (~until21(s47)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6597,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s47) | (~until21(s47)) | xuntil22(s47))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s47) | node20(s47) | (~until21(s47))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6596])).
% 1.15/1.18 tff(6598,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s47) | (~until21(s47)) | xuntil22(s47))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s47) | node20(s47) | (~until21(s47)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6597, 6595])).
% 1.15/1.18 tff(6599,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s47) | (~until21(s47)) | xuntil22(s47))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6600,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s47) | node20(s47) | (~until21(s47))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 1.15/1.18 tff(6601,plain,
% 1.15/1.18 (xuntil22(s47)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6600, 5952, 6594, 5569])).
% 1.15/1.18 tff(6602,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6603,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6604,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 1.15/1.18 tff(6605,plain,
% 1.15/1.18 ((~xuntil22(s47)) | until21(s48)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6604, 4218, 5970])).
% 1.15/1.18 tff(6606,plain,
% 1.15/1.18 (until21(s48)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6605, 6601])).
% 1.15/1.18 tff(6607,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s48) | node20(s48) | (~until21(s48)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s48) | node20(s48) | (~until21(s48)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6608,plain,
% 1.15/1.18 ((node20(s48) | (~until21(s48)) | xuntil22(s48)) <=> (xuntil22(s48) | node20(s48) | (~until21(s48)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6609,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s48) | (~until21(s48)) | xuntil22(s48))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s48) | node20(s48) | (~until21(s48))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6608])).
% 1.15/1.18 tff(6610,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s48) | (~until21(s48)) | xuntil22(s48))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s48) | node20(s48) | (~until21(s48)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6609, 6607])).
% 1.15/1.18 tff(6611,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s48) | (~until21(s48)) | xuntil22(s48))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6612,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s48) | node20(s48) | (~until21(s48))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 1.15/1.18 tff(6613,plain,
% 1.15/1.18 (xuntil22(s48) | node20(s48)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6612, 5952, 6606])).
% 1.15/1.18 tff(6614,plain,
% 1.15/1.18 (xuntil22(s48)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6613, 5561])).
% 1.15/1.18 tff(6615,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6616,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6617,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 1.15/1.18 tff(6618,plain,
% 1.15/1.18 ((~xuntil22(s48)) | until21(s49)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6617, 4307, 5970])).
% 1.15/1.18 tff(6619,plain,
% 1.15/1.18 (until21(s49)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6618, 6614])).
% 1.15/1.18 tff(6620,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s49) | node20(s49) | (~until21(s49)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s49) | node20(s49) | (~until21(s49)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6621,plain,
% 1.15/1.18 ((node20(s49) | (~until21(s49)) | xuntil22(s49)) <=> (xuntil22(s49) | node20(s49) | (~until21(s49)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6622,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s49) | (~until21(s49)) | xuntil22(s49))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s49) | node20(s49) | (~until21(s49))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6621])).
% 1.15/1.18 tff(6623,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s49) | (~until21(s49)) | xuntil22(s49))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s49) | node20(s49) | (~until21(s49)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6622, 6620])).
% 1.15/1.18 tff(6624,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s49) | (~until21(s49)) | xuntil22(s49))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6625,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s49) | node20(s49) | (~until21(s49))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6624, 6623])).
% 1.15/1.18 tff(6626,plain,
% 1.15/1.18 (xuntil22(s49)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6625, 5952, 6619, 5552])).
% 1.15/1.18 tff(6627,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6628,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6629,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 1.15/1.18 tff(6630,plain,
% 1.15/1.18 ((~xuntil22(s49)) | until21(s50)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6629, 4374, 5970])).
% 1.15/1.18 tff(6631,plain,
% 1.15/1.18 (until21(s50)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6630, 6626])).
% 1.15/1.18 tff(6632,plain,
% 1.15/1.18 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s50) | (~node20(s50)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s50) | (~node20(s50)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6633,plain,
% 1.15/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s50) | (~node20(s50)))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6634,plain,
% 1.15/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s50) | (~node20(s50))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 1.15/1.18 tff(6635,plain,
% 1.15/1.18 (~node20(s50)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6634, 5449, 5543])).
% 1.15/1.18 tff(6636,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s50) | node20(s50) | (~until21(s50)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s50) | node20(s50) | (~until21(s50)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6637,plain,
% 1.15/1.18 ((node20(s50) | (~until21(s50)) | xuntil22(s50)) <=> (xuntil22(s50) | node20(s50) | (~until21(s50)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6638,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s50) | (~until21(s50)) | xuntil22(s50))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s50) | node20(s50) | (~until21(s50))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6637])).
% 1.15/1.18 tff(6639,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s50) | (~until21(s50)) | xuntil22(s50))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s50) | node20(s50) | (~until21(s50)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6638, 6636])).
% 1.15/1.18 tff(6640,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s50) | (~until21(s50)) | xuntil22(s50))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6641,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s50) | node20(s50) | (~until21(s50))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6640, 6639])).
% 1.15/1.18 tff(6642,plain,
% 1.15/1.18 (xuntil22(s50) | (~until21(s50))),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6641, 5952, 6635])).
% 1.15/1.18 tff(6643,plain,
% 1.15/1.18 (xuntil22(s50)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6642, 6631])).
% 1.15/1.18 tff(6644,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6645,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6646,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 1.15/1.18 tff(6647,plain,
% 1.15/1.18 ((~xuntil22(s50)) | until21(s51)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6646, 4473, 5970])).
% 1.15/1.18 tff(6648,plain,
% 1.15/1.18 (until21(s51)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6647, 6643])).
% 1.15/1.18 tff(6649,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s51) | node20(s51) | (~until21(s51)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s51) | node20(s51) | (~until21(s51)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6650,plain,
% 1.15/1.18 ((node20(s51) | (~until21(s51)) | xuntil22(s51)) <=> (xuntil22(s51) | node20(s51) | (~until21(s51)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6651,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s51) | (~until21(s51)) | xuntil22(s51))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s51) | node20(s51) | (~until21(s51))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6650])).
% 1.15/1.18 tff(6652,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s51) | (~until21(s51)) | xuntil22(s51))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s51) | node20(s51) | (~until21(s51)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6651, 6649])).
% 1.15/1.18 tff(6653,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s51) | (~until21(s51)) | xuntil22(s51))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6654,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s51) | node20(s51) | (~until21(s51))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6653, 6652])).
% 1.15/1.18 tff(6655,plain,
% 1.15/1.18 (xuntil22(s51)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6654, 5952, 6648, 5536])).
% 1.15/1.18 tff(6656,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6657,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6658,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 1.15/1.18 tff(6659,plain,
% 1.15/1.18 ((~xuntil22(s51)) | until21(s52)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6658, 4551, 5970])).
% 1.15/1.18 tff(6660,plain,
% 1.15/1.18 (until21(s52)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6659, 6655])).
% 1.15/1.18 tff(6661,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s52) | node20(s52) | (~until21(s52)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s52) | node20(s52) | (~until21(s52)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6662,plain,
% 1.15/1.18 ((node20(s52) | (~until21(s52)) | xuntil22(s52)) <=> (xuntil22(s52) | node20(s52) | (~until21(s52)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6663,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s52) | (~until21(s52)) | xuntil22(s52))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s52) | node20(s52) | (~until21(s52))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6662])).
% 1.15/1.18 tff(6664,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s52) | (~until21(s52)) | xuntil22(s52))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s52) | node20(s52) | (~until21(s52)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6663, 6661])).
% 1.15/1.18 tff(6665,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s52) | (~until21(s52)) | xuntil22(s52))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6666,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s52) | node20(s52) | (~until21(s52))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 1.15/1.18 tff(6667,plain,
% 1.15/1.18 (xuntil22(s52) | node20(s52)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6666, 5952, 6660])).
% 1.15/1.18 tff(6668,plain,
% 1.15/1.18 (xuntil22(s52)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6667, 5528])).
% 1.15/1.18 tff(6669,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6670,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6671,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 1.15/1.18 tff(6672,plain,
% 1.15/1.18 ((~xuntil22(s52)) | until21(s53)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6671, 4612, 5970])).
% 1.15/1.18 tff(6673,plain,
% 1.15/1.18 (until21(s53)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6672, 6668])).
% 1.15/1.18 tff(6674,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s53) | node20(s53) | (~until21(s53)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s53) | node20(s53) | (~until21(s53)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6675,plain,
% 1.15/1.18 ((node20(s53) | (~until21(s53)) | xuntil22(s53)) <=> (xuntil22(s53) | node20(s53) | (~until21(s53)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6676,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s53) | (~until21(s53)) | xuntil22(s53))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s53) | node20(s53) | (~until21(s53))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6675])).
% 1.15/1.18 tff(6677,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s53) | (~until21(s53)) | xuntil22(s53))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s53) | node20(s53) | (~until21(s53)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6676, 6674])).
% 1.15/1.18 tff(6678,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s53) | (~until21(s53)) | xuntil22(s53))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6679,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s53) | node20(s53) | (~until21(s53))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 1.15/1.18 tff(6680,plain,
% 1.15/1.18 (xuntil22(s53)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6679, 5952, 6673, 5519])).
% 1.15/1.18 tff(6681,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6682,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6683,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 1.15/1.18 tff(6684,plain,
% 1.15/1.18 ((~xuntil22(s53)) | until21(s54)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6683, 4707, 5970])).
% 1.15/1.18 tff(6685,plain,
% 1.15/1.18 (until21(s54)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6684, 6680])).
% 1.15/1.18 tff(6686,plain,
% 1.15/1.18 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s54) | (~node20(s54)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s54) | (~node20(s54)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6687,plain,
% 1.15/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s54) | (~node20(s54)))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6688,plain,
% 1.15/1.18 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s54) | (~node20(s54))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 1.15/1.18 tff(6689,plain,
% 1.15/1.18 (~node20(s54)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6688, 5449, 5510])).
% 1.15/1.18 tff(6690,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s54) | node20(s54) | (~until21(s54)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s54) | node20(s54) | (~until21(s54)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6691,plain,
% 1.15/1.18 ((node20(s54) | (~until21(s54)) | xuntil22(s54)) <=> (xuntil22(s54) | node20(s54) | (~until21(s54)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6692,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s54) | (~until21(s54)) | xuntil22(s54))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s54) | node20(s54) | (~until21(s54))))),
% 1.15/1.18 inference(monotonicity,[status(thm)],[6691])).
% 1.15/1.18 tff(6693,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s54) | (~until21(s54)) | xuntil22(s54))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s54) | node20(s54) | (~until21(s54)))),
% 1.15/1.18 inference(transitivity,[status(thm)],[6692, 6690])).
% 1.15/1.18 tff(6694,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s54) | (~until21(s54)) | xuntil22(s54))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6695,plain,
% 1.15/1.18 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s54) | node20(s54) | (~until21(s54))),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 1.15/1.18 tff(6696,plain,
% 1.15/1.18 (xuntil22(s54) | (~until21(s54))),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6695, 5952, 6689])).
% 1.15/1.18 tff(6697,plain,
% 1.15/1.18 (xuntil22(s54)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6696, 6685])).
% 1.15/1.18 tff(6698,plain,
% 1.15/1.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6699,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55))),
% 1.15/1.18 inference(quant_inst,[status(thm)],[])).
% 1.15/1.18 tff(6700,plain,
% 1.15/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55)),
% 1.15/1.18 inference(modus_ponens,[status(thm)],[6699, 6698])).
% 1.15/1.18 tff(6701,plain,
% 1.15/1.18 ((~xuntil22(s54)) | until21(s55)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6700, 4771, 5970])).
% 1.15/1.18 tff(6702,plain,
% 1.15/1.18 (until21(s55)),
% 1.15/1.18 inference(unit_resolution,[status(thm)],[6701, 6697])).
% 1.15/1.18 tff(6703,plain,
% 1.15/1.18 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s55) | node20(s55) | (~until21(s55)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s55) | node20(s55) | (~until21(s55)))),
% 1.15/1.18 inference(rewrite,[status(thm)],[])).
% 1.15/1.18 tff(6704,plain,
% 1.15/1.18 ((node20(s55) | (~until21(s55)) | xuntil22(s55)) <=> (xuntil22(s55) | node20(s55) | (~until21(s55)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6705,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s55) | (~until21(s55)) | xuntil22(s55))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s55) | node20(s55) | (~until21(s55))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6704])).
% 1.15/1.19 tff(6706,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s55) | (~until21(s55)) | xuntil22(s55))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s55) | node20(s55) | (~until21(s55)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6705, 6703])).
% 1.15/1.19 tff(6707,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s55) | (~until21(s55)) | xuntil22(s55))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6708,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s55) | node20(s55) | (~until21(s55))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6707, 6706])).
% 1.15/1.19 tff(6709,plain,
% 1.15/1.19 (xuntil22(s55)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6708, 5952, 6702, 5503])).
% 1.15/1.19 tff(6710,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6711,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6712,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6711, 6710])).
% 1.15/1.19 tff(6713,plain,
% 1.15/1.19 ((~xuntil22(s55)) | until21(s56)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6712, 4846, 5970])).
% 1.15/1.19 tff(6714,plain,
% 1.15/1.19 (until21(s56)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6713, 6709])).
% 1.15/1.19 tff(6715,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s56) | node20(s56) | (~until21(s56)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s56) | node20(s56) | (~until21(s56)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6716,plain,
% 1.15/1.19 ((node20(s56) | (~until21(s56)) | xuntil22(s56)) <=> (xuntil22(s56) | node20(s56) | (~until21(s56)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6717,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s56) | (~until21(s56)) | xuntil22(s56))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s56) | node20(s56) | (~until21(s56))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6716])).
% 1.15/1.19 tff(6718,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s56) | (~until21(s56)) | xuntil22(s56))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s56) | node20(s56) | (~until21(s56)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6717, 6715])).
% 1.15/1.19 tff(6719,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s56) | (~until21(s56)) | xuntil22(s56))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6720,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s56) | node20(s56) | (~until21(s56))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6719, 6718])).
% 1.15/1.19 tff(6721,plain,
% 1.15/1.19 (xuntil22(s56) | node20(s56)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6720, 5952, 6714])).
% 1.15/1.19 tff(6722,plain,
% 1.15/1.19 (xuntil22(s56)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6721, 5495])).
% 1.15/1.19 tff(6723,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6724,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6725,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 1.15/1.19 tff(6726,plain,
% 1.15/1.19 ((~xuntil22(s56)) | until21(s57)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6725, 4935, 5970])).
% 1.15/1.19 tff(6727,plain,
% 1.15/1.19 (until21(s57)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6726, 6722])).
% 1.15/1.19 tff(6728,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s57) | node20(s57) | (~until21(s57)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s57) | node20(s57) | (~until21(s57)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6729,plain,
% 1.15/1.19 ((node20(s57) | (~until21(s57)) | xuntil22(s57)) <=> (xuntil22(s57) | node20(s57) | (~until21(s57)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6730,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s57) | (~until21(s57)) | xuntil22(s57))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s57) | node20(s57) | (~until21(s57))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6729])).
% 1.15/1.19 tff(6731,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s57) | (~until21(s57)) | xuntil22(s57))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s57) | node20(s57) | (~until21(s57)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6730, 6728])).
% 1.15/1.19 tff(6732,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s57) | (~until21(s57)) | xuntil22(s57))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6733,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s57) | node20(s57) | (~until21(s57))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6732, 6731])).
% 1.15/1.19 tff(6734,plain,
% 1.15/1.19 (xuntil22(s57)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6733, 5952, 6727, 5486])).
% 1.15/1.19 tff(6735,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6736,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6737,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 1.15/1.19 tff(6738,plain,
% 1.15/1.19 ((~xuntil22(s57)) | until21(s58)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6737, 5002, 5970])).
% 1.15/1.19 tff(6739,plain,
% 1.15/1.19 (until21(s58)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6738, 6734])).
% 1.15/1.19 tff(6740,plain,
% 1.15/1.19 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s58) | (~node20(s58)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s58) | (~node20(s58)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6741,plain,
% 1.15/1.19 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s58) | (~node20(s58)))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6742,plain,
% 1.15/1.19 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s58) | (~node20(s58))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 1.15/1.19 tff(6743,plain,
% 1.15/1.19 (~node20(s58)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6742, 5449, 5477])).
% 1.15/1.19 tff(6744,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s58) | node20(s58) | (~until21(s58)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s58) | node20(s58) | (~until21(s58)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6745,plain,
% 1.15/1.19 ((node20(s58) | (~until21(s58)) | xuntil22(s58)) <=> (xuntil22(s58) | node20(s58) | (~until21(s58)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6746,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s58) | (~until21(s58)) | xuntil22(s58))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s58) | node20(s58) | (~until21(s58))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6745])).
% 1.15/1.19 tff(6747,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s58) | (~until21(s58)) | xuntil22(s58))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s58) | node20(s58) | (~until21(s58)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6746, 6744])).
% 1.15/1.19 tff(6748,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s58) | (~until21(s58)) | xuntil22(s58))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6749,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s58) | node20(s58) | (~until21(s58))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6748, 6747])).
% 1.15/1.19 tff(6750,plain,
% 1.15/1.19 (xuntil22(s58) | (~until21(s58))),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6749, 5952, 6743])).
% 1.15/1.19 tff(6751,plain,
% 1.15/1.19 (xuntil22(s58)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6750, 6739])).
% 1.15/1.19 tff(6752,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6753,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6754,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 1.15/1.19 tff(6755,plain,
% 1.15/1.19 ((~xuntil22(s58)) | until21(s59)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6754, 5101, 5970])).
% 1.15/1.19 tff(6756,plain,
% 1.15/1.19 (until21(s59)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6755, 6751])).
% 1.15/1.19 tff(6757,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s59) | node20(s59) | (~until21(s59)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s59) | node20(s59) | (~until21(s59)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6758,plain,
% 1.15/1.19 ((node20(s59) | (~until21(s59)) | xuntil22(s59)) <=> (xuntil22(s59) | node20(s59) | (~until21(s59)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6759,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s59) | (~until21(s59)) | xuntil22(s59))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s59) | node20(s59) | (~until21(s59))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6758])).
% 1.15/1.19 tff(6760,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s59) | (~until21(s59)) | xuntil22(s59))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s59) | node20(s59) | (~until21(s59)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6759, 6757])).
% 1.15/1.19 tff(6761,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s59) | (~until21(s59)) | xuntil22(s59))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6762,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s59) | node20(s59) | (~until21(s59))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 1.15/1.19 tff(6763,plain,
% 1.15/1.19 (xuntil22(s59)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6762, 5952, 6756, 5470])).
% 1.15/1.19 tff(6764,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6765,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6766,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 1.15/1.19 tff(6767,plain,
% 1.15/1.19 ((~xuntil22(s59)) | until21(s60)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6766, 5179, 5970])).
% 1.15/1.19 tff(6768,plain,
% 1.15/1.19 (until21(s60)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6767, 6763])).
% 1.15/1.19 tff(6769,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s60) | node20(s60) | (~until21(s60)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s60) | node20(s60) | (~until21(s60)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6770,plain,
% 1.15/1.19 ((node20(s60) | (~until21(s60)) | xuntil22(s60)) <=> (xuntil22(s60) | node20(s60) | (~until21(s60)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6771,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s60) | (~until21(s60)) | xuntil22(s60))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s60) | node20(s60) | (~until21(s60))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6770])).
% 1.15/1.19 tff(6772,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s60) | (~until21(s60)) | xuntil22(s60))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s60) | node20(s60) | (~until21(s60)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6771, 6769])).
% 1.15/1.19 tff(6773,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s60) | (~until21(s60)) | xuntil22(s60))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6774,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s60) | node20(s60) | (~until21(s60))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 1.15/1.19 tff(6775,plain,
% 1.15/1.19 (xuntil22(s60) | node20(s60)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6774, 5952, 6768])).
% 1.15/1.19 tff(6776,plain,
% 1.15/1.19 (xuntil22(s60)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6775, 5462])).
% 1.15/1.19 tff(6777,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6778,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6779,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6778, 6777])).
% 1.15/1.19 tff(6780,plain,
% 1.15/1.19 ((~xuntil22(s60)) | until21(s61)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6779, 5240, 5970])).
% 1.15/1.19 tff(6781,plain,
% 1.15/1.19 (until21(s61)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6780, 6776])).
% 1.15/1.19 tff(6782,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s61) | node20(s61) | (~until21(s61)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s61) | node20(s61) | (~until21(s61)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6783,plain,
% 1.15/1.19 ((node20(s61) | (~until21(s61)) | xuntil22(s61)) <=> (xuntil22(s61) | node20(s61) | (~until21(s61)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6784,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s61) | (~until21(s61)) | xuntil22(s61))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s61) | node20(s61) | (~until21(s61))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6783])).
% 1.15/1.19 tff(6785,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s61) | (~until21(s61)) | xuntil22(s61))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s61) | node20(s61) | (~until21(s61)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6784, 6782])).
% 1.15/1.19 tff(6786,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s61) | (~until21(s61)) | xuntil22(s61))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6787,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s61) | node20(s61) | (~until21(s61))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 1.15/1.19 tff(6788,plain,
% 1.15/1.19 (xuntil22(s61)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6787, 5952, 6781, 5453])).
% 1.15/1.19 tff(6789,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6790,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6791,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 1.15/1.19 tff(6792,plain,
% 1.15/1.19 ((~xuntil22(s61)) | until21(s62)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6791, 5335, 5970])).
% 1.15/1.19 tff(6793,plain,
% 1.15/1.19 (until21(s62)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6792, 6788])).
% 1.15/1.19 tff(6794,plain,
% 1.15/1.19 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s62) | (~node20(s62)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s62) | (~node20(s62)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6795,plain,
% 1.15/1.19 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s62) | (~node20(s62)))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6796,plain,
% 1.15/1.19 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s62) | (~node20(s62))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6795, 6794])).
% 1.15/1.19 tff(6797,plain,
% 1.15/1.19 (~node20(s62)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6796, 5449, 5437])).
% 1.15/1.19 tff(6798,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s62) | node20(s62) | (~until21(s62)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s62) | node20(s62) | (~until21(s62)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6799,plain,
% 1.15/1.19 ((node20(s62) | (~until21(s62)) | xuntil22(s62)) <=> (xuntil22(s62) | node20(s62) | (~until21(s62)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6800,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s62) | (~until21(s62)) | xuntil22(s62))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s62) | node20(s62) | (~until21(s62))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6799])).
% 1.15/1.19 tff(6801,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s62) | (~until21(s62)) | xuntil22(s62))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s62) | node20(s62) | (~until21(s62)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6800, 6798])).
% 1.15/1.19 tff(6802,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s62) | (~until21(s62)) | xuntil22(s62))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6803,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s62) | node20(s62) | (~until21(s62))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 1.15/1.19 tff(6804,plain,
% 1.15/1.19 (xuntil22(s62) | (~until21(s62))),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6803, 5952, 6797])).
% 1.15/1.19 tff(6805,plain,
% 1.15/1.19 (xuntil22(s62)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6804, 6793])).
% 1.15/1.19 tff(6806,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6807,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6808,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6807, 6806])).
% 1.15/1.19 tff(6809,plain,
% 1.15/1.19 ((~xuntil22(s62)) | until21(s63)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6808, 5399, 5970])).
% 1.15/1.19 tff(6810,plain,
% 1.15/1.19 (until21(s63)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6809, 6805])).
% 1.15/1.19 tff(6811,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s63) | node20(s63) | (~until21(s63)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s63) | node20(s63) | (~until21(s63)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6812,plain,
% 1.15/1.19 ((node20(s63) | (~until21(s63)) | xuntil22(s63)) <=> (xuntil22(s63) | node20(s63) | (~until21(s63)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6813,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s63) | (~until21(s63)) | xuntil22(s63))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s63) | node20(s63) | (~until21(s63))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6812])).
% 1.15/1.19 tff(6814,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s63) | (~until21(s63)) | xuntil22(s63))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s63) | node20(s63) | (~until21(s63)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6813, 6811])).
% 1.15/1.19 tff(6815,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s63) | (~until21(s63)) | xuntil22(s63))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6816,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s63) | node20(s63) | (~until21(s63))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6815, 6814])).
% 1.15/1.19 tff(6817,plain,
% 1.15/1.19 (xuntil22(s63)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6816, 5952, 6810, 5430])).
% 1.15/1.19 tff(6818,plain,
% 1.15/1.19 (succ(s63, s64) <=> succ(s63, s64)),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6819,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 1.15/1.19 tff(6820,plain,
% 1.15/1.19 (succ(s63, s64)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 1.15/1.19 tff(6821,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6822,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6823,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 1.15/1.19 tff(6824,plain,
% 1.15/1.19 ((~xuntil22(s63)) | until21(s64)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6823, 6820, 5970])).
% 1.15/1.19 tff(6825,plain,
% 1.15/1.19 (until21(s64)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6824, 6817])).
% 1.15/1.19 tff(6826,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s64) | node20(s64) | (~until21(s64)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s64) | node20(s64) | (~until21(s64)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6827,plain,
% 1.15/1.19 ((node20(s64) | (~until21(s64)) | xuntil22(s64)) <=> (xuntil22(s64) | node20(s64) | (~until21(s64)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6828,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s64) | (~until21(s64)) | xuntil22(s64))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s64) | node20(s64) | (~until21(s64))))),
% 1.15/1.19 inference(monotonicity,[status(thm)],[6827])).
% 1.15/1.19 tff(6829,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s64) | (~until21(s64)) | xuntil22(s64))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s64) | node20(s64) | (~until21(s64)))),
% 1.15/1.19 inference(transitivity,[status(thm)],[6828, 6826])).
% 1.15/1.19 tff(6830,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s64) | (~until21(s64)) | xuntil22(s64))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6831,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s64) | node20(s64) | (~until21(s64))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 1.15/1.19 tff(6832,plain,
% 1.15/1.19 (xuntil22(s64) | node20(s64)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6831, 5952, 6825])).
% 1.15/1.19 tff(6833,plain,
% 1.15/1.19 (xuntil22(s64)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6832, 4095])).
% 1.15/1.19 tff(6834,plain,
% 1.15/1.19 (^[X: $i] : refl(((~last(X)) | (~xuntil2p24(X))) <=> ((~last(X)) | (~xuntil2p24(X))))),
% 1.15/1.19 inference(bind,[status(th)],[])).
% 1.15/1.19 tff(6835,plain,
% 1.15/1.19 (![X: $i] : ((~last(X)) | (~xuntil2p24(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(quant_intro,[status(thm)],[6834])).
% 1.15/1.19 tff(6836,plain,
% 1.15/1.19 (![X: $i] : ((~last(X)) | (~xuntil2p24(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6837,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p24(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty12')).
% 1.15/1.19 tff(6838,plain,
% 1.15/1.19 (![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 1.15/1.19 tff(6839,plain,(
% 1.15/1.19 ![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(skolemize,[status(sab)],[6838])).
% 1.15/1.19 tff(6840,plain,
% 1.15/1.19 (![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6839, 6835])).
% 1.15/1.19 tff(6841,plain,
% 1.15/1.19 (last(s64) <=> last(s64)),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6842,axiom,(last(s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 1.15/1.19 tff(6843,plain,
% 1.15/1.19 (last(s64)),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 1.15/1.19 tff(6844,plain,
% 1.15/1.19 (((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | ((~last(s64)) | (~xuntil2p24(s64)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | (~last(s64)) | (~xuntil2p24(s64)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6845,plain,
% 1.15/1.19 ((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | ((~last(s64)) | (~xuntil2p24(s64)))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6846,plain,
% 1.15/1.19 ((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | (~last(s64)) | (~xuntil2p24(s64))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6845, 6844])).
% 1.15/1.19 tff(6847,plain,
% 1.15/1.19 (~xuntil2p24(s64)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6846, 6843, 6840])).
% 1.15/1.19 tff(6848,plain,
% 1.15/1.19 (^[X: $i] : refl((node20(X) | xuntil2p24(X) | (~until2p23(X))) <=> (node20(X) | xuntil2p24(X) | (~until2p23(X))))),
% 1.15/1.19 inference(bind,[status(th)],[])).
% 1.15/1.19 tff(6849,plain,
% 1.15/1.19 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X))) <=> ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.15/1.19 inference(quant_intro,[status(thm)],[6848])).
% 1.15/1.19 tff(6850,plain,
% 1.15/1.19 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X))) <=> ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6851,plain,
% 1.15/1.19 (^[X: $i] : rewrite(((node20(X) | xuntil2p24(X)) | (~until2p23(X))) <=> (node20(X) | xuntil2p24(X) | (~until2p23(X))))),
% 1.15/1.19 inference(bind,[status(th)],[])).
% 1.15/1.19 tff(6852,plain,
% 1.15/1.19 (![X: $i] : ((node20(X) | xuntil2p24(X)) | (~until2p23(X))) <=> ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.15/1.19 inference(quant_intro,[status(thm)],[6851])).
% 1.15/1.19 tff(6853,axiom,(![X: $i] : ((node20(X) | xuntil2p24(X)) | (~until2p23(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty10')).
% 1.15/1.19 tff(6854,plain,
% 1.15/1.19 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 1.15/1.19 tff(6855,plain,
% 1.15/1.19 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6854, 6850])).
% 1.15/1.19 tff(6856,plain,(
% 1.15/1.19 ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.15/1.19 inference(skolemize,[status(sab)],[6855])).
% 1.15/1.19 tff(6857,plain,
% 1.15/1.19 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6856, 6849])).
% 1.15/1.19 tff(6858,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s64) | xuntil2p24(s64) | (~until2p23(s64)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s64) | xuntil2p24(s64) | (~until2p23(s64)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6859,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s64) | xuntil2p24(s64) | (~until2p23(s64)))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6860,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s64) | xuntil2p24(s64) | (~until2p23(s64))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6859, 6858])).
% 1.15/1.19 tff(6861,plain,
% 1.15/1.19 (node20(s64) | (~until2p23(s64))),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6860, 6857, 6847])).
% 1.15/1.19 tff(6862,plain,
% 1.15/1.19 (~until2p23(s64)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6861, 4095])).
% 1.15/1.19 tff(6863,plain,
% 1.15/1.19 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))) <=> ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))))),
% 1.15/1.19 inference(bind,[status(th)],[])).
% 1.15/1.19 tff(6864,plain,
% 1.15/1.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(quant_intro,[status(thm)],[6863])).
% 1.15/1.19 tff(6865,plain,
% 1.15/1.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6866,plain,
% 1.15/1.19 (^[Y: $i, X: $i] : rewrite(((until2p23(Y) | (~succ(X, Y))) | (~xuntil2p24(X))) <=> ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))))),
% 1.15/1.19 inference(bind,[status(th)],[])).
% 1.15/1.19 tff(6867,plain,
% 1.15/1.19 (![Y: $i, X: $i] : ((until2p23(Y) | (~succ(X, Y))) | (~xuntil2p24(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(quant_intro,[status(thm)],[6866])).
% 1.15/1.19 tff(6868,axiom,(![Y: $i, X: $i] : ((until2p23(Y) | (~succ(X, Y))) | (~xuntil2p24(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty11')).
% 1.15/1.19 tff(6869,plain,
% 1.15/1.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 1.15/1.19 tff(6870,plain,
% 1.15/1.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6869, 6865])).
% 1.15/1.19 tff(6871,plain,(
% 1.15/1.19 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(skolemize,[status(sab)],[6870])).
% 1.15/1.19 tff(6872,plain,
% 1.15/1.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6871, 6864])).
% 1.15/1.19 tff(6873,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s63, s64)) | until2p23(s64) | (~xuntil2p24(s63)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s63, s64)) | until2p23(s64) | (~xuntil2p24(s63)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6874,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s63, s64)) | until2p23(s64) | (~xuntil2p24(s63)))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6875,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s63, s64)) | until2p23(s64) | (~xuntil2p24(s63))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6874, 6873])).
% 1.15/1.19 tff(6876,plain,
% 1.15/1.19 (until2p23(s64) | (~xuntil2p24(s63))),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6875, 6820, 6872])).
% 1.15/1.19 tff(6877,plain,
% 1.15/1.19 (~xuntil2p24(s63)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6876, 6862])).
% 1.15/1.19 tff(6878,plain,
% 1.15/1.19 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s63) | xuntil2p24(s63) | (~until2p23(s63)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s63) | xuntil2p24(s63) | (~until2p23(s63)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6879,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s63) | xuntil2p24(s63) | (~until2p23(s63)))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6880,plain,
% 1.15/1.19 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s63) | xuntil2p24(s63) | (~until2p23(s63))),
% 1.15/1.19 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 1.15/1.19 tff(6881,plain,
% 1.15/1.19 (xuntil2p24(s63) | (~until2p23(s63))),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6880, 6857, 5430])).
% 1.15/1.19 tff(6882,plain,
% 1.15/1.19 (~until2p23(s63)),
% 1.15/1.19 inference(unit_resolution,[status(thm)],[6881, 6877])).
% 1.15/1.19 tff(6883,plain,
% 1.15/1.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s62, s63)) | until2p23(s63) | (~xuntil2p24(s62)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s62, s63)) | until2p23(s63) | (~xuntil2p24(s62)))),
% 1.15/1.19 inference(rewrite,[status(thm)],[])).
% 1.15/1.19 tff(6884,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s62, s63)) | until2p23(s63) | (~xuntil2p24(s62)))),
% 1.15/1.19 inference(quant_inst,[status(thm)],[])).
% 1.15/1.19 tff(6885,plain,
% 1.15/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s62, s63)) | until2p23(s63) | (~xuntil2p24(s62))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6884, 6883])).
% 1.15/1.20 tff(6886,plain,
% 1.15/1.20 (until2p23(s63) | (~xuntil2p24(s62))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6885, 5399, 6872])).
% 1.15/1.20 tff(6887,plain,
% 1.15/1.20 (~xuntil2p24(s62)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6886, 6882])).
% 1.15/1.20 tff(6888,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s62) | xuntil2p24(s62) | (~until2p23(s62)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s62) | xuntil2p24(s62) | (~until2p23(s62)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6889,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s62) | xuntil2p24(s62) | (~until2p23(s62)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6890,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s62) | xuntil2p24(s62) | (~until2p23(s62))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6889, 6888])).
% 1.15/1.20 tff(6891,plain,
% 1.15/1.20 (xuntil2p24(s62) | (~until2p23(s62))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6890, 6857, 6797])).
% 1.15/1.20 tff(6892,plain,
% 1.15/1.20 (~until2p23(s62)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6891, 6887])).
% 1.15/1.20 tff(6893,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s61, s62)) | until2p23(s62) | (~xuntil2p24(s61)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s61, s62)) | until2p23(s62) | (~xuntil2p24(s61)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6894,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s61, s62)) | until2p23(s62) | (~xuntil2p24(s61)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6895,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s61, s62)) | until2p23(s62) | (~xuntil2p24(s61))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 1.15/1.20 tff(6896,plain,
% 1.15/1.20 (until2p23(s62) | (~xuntil2p24(s61))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6895, 5335, 6872])).
% 1.15/1.20 tff(6897,plain,
% 1.15/1.20 (~xuntil2p24(s61)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6896, 6892])).
% 1.15/1.20 tff(6898,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s61) | xuntil2p24(s61) | (~until2p23(s61)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s61) | xuntil2p24(s61) | (~until2p23(s61)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6899,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s61) | xuntil2p24(s61) | (~until2p23(s61)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6900,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s61) | xuntil2p24(s61) | (~until2p23(s61))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6899, 6898])).
% 1.15/1.20 tff(6901,plain,
% 1.15/1.20 (xuntil2p24(s61) | (~until2p23(s61))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6900, 6857, 5453])).
% 1.15/1.20 tff(6902,plain,
% 1.15/1.20 (~until2p23(s61)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6901, 6897])).
% 1.15/1.20 tff(6903,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s60, s61)) | until2p23(s61) | (~xuntil2p24(s60)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s60, s61)) | until2p23(s61) | (~xuntil2p24(s60)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6904,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s60, s61)) | until2p23(s61) | (~xuntil2p24(s60)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6905,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s60, s61)) | until2p23(s61) | (~xuntil2p24(s60))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6904, 6903])).
% 1.15/1.20 tff(6906,plain,
% 1.15/1.20 (until2p23(s61) | (~xuntil2p24(s60))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6905, 5240, 6872])).
% 1.15/1.20 tff(6907,plain,
% 1.15/1.20 (~xuntil2p24(s60)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6906, 6902])).
% 1.15/1.20 tff(6908,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s60) | xuntil2p24(s60) | (~until2p23(s60)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s60) | xuntil2p24(s60) | (~until2p23(s60)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6909,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s60) | xuntil2p24(s60) | (~until2p23(s60)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6910,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s60) | xuntil2p24(s60) | (~until2p23(s60))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 1.15/1.20 tff(6911,plain,
% 1.15/1.20 (xuntil2p24(s60) | (~until2p23(s60))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6910, 6857, 5462])).
% 1.15/1.20 tff(6912,plain,
% 1.15/1.20 (~until2p23(s60)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6911, 6907])).
% 1.15/1.20 tff(6913,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s59, s60)) | until2p23(s60) | (~xuntil2p24(s59)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s59, s60)) | until2p23(s60) | (~xuntil2p24(s59)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6914,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s59, s60)) | until2p23(s60) | (~xuntil2p24(s59)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6915,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s59, s60)) | until2p23(s60) | (~xuntil2p24(s59))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6914, 6913])).
% 1.15/1.20 tff(6916,plain,
% 1.15/1.20 (until2p23(s60) | (~xuntil2p24(s59))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6915, 5179, 6872])).
% 1.15/1.20 tff(6917,plain,
% 1.15/1.20 (~xuntil2p24(s59)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6916, 6912])).
% 1.15/1.20 tff(6918,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s59) | xuntil2p24(s59) | (~until2p23(s59)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s59) | xuntil2p24(s59) | (~until2p23(s59)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6919,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s59) | xuntil2p24(s59) | (~until2p23(s59)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6920,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s59) | xuntil2p24(s59) | (~until2p23(s59))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6919, 6918])).
% 1.15/1.20 tff(6921,plain,
% 1.15/1.20 (xuntil2p24(s59) | (~until2p23(s59))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6920, 6857, 5470])).
% 1.15/1.20 tff(6922,plain,
% 1.15/1.20 (~until2p23(s59)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6921, 6917])).
% 1.15/1.20 tff(6923,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s58, s59)) | until2p23(s59) | (~xuntil2p24(s58)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s58, s59)) | until2p23(s59) | (~xuntil2p24(s58)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6924,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s58, s59)) | until2p23(s59) | (~xuntil2p24(s58)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6925,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s58, s59)) | until2p23(s59) | (~xuntil2p24(s58))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 1.15/1.20 tff(6926,plain,
% 1.15/1.20 (until2p23(s59) | (~xuntil2p24(s58))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6925, 5101, 6872])).
% 1.15/1.20 tff(6927,plain,
% 1.15/1.20 (~xuntil2p24(s58)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6926, 6922])).
% 1.15/1.20 tff(6928,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s58) | xuntil2p24(s58) | (~until2p23(s58)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s58) | xuntil2p24(s58) | (~until2p23(s58)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6929,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s58) | xuntil2p24(s58) | (~until2p23(s58)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6930,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s58) | xuntil2p24(s58) | (~until2p23(s58))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 1.15/1.20 tff(6931,plain,
% 1.15/1.20 (xuntil2p24(s58) | (~until2p23(s58))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6930, 6857, 6743])).
% 1.15/1.20 tff(6932,plain,
% 1.15/1.20 (~until2p23(s58)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6931, 6927])).
% 1.15/1.20 tff(6933,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s57, s58)) | until2p23(s58) | (~xuntil2p24(s57)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s57, s58)) | until2p23(s58) | (~xuntil2p24(s57)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6934,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s57, s58)) | until2p23(s58) | (~xuntil2p24(s57)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6935,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s57, s58)) | until2p23(s58) | (~xuntil2p24(s57))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 1.15/1.20 tff(6936,plain,
% 1.15/1.20 (until2p23(s58) | (~xuntil2p24(s57))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6935, 5002, 6872])).
% 1.15/1.20 tff(6937,plain,
% 1.15/1.20 (~xuntil2p24(s57)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6936, 6932])).
% 1.15/1.20 tff(6938,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s57) | xuntil2p24(s57) | (~until2p23(s57)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s57) | xuntil2p24(s57) | (~until2p23(s57)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6939,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s57) | xuntil2p24(s57) | (~until2p23(s57)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6940,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s57) | xuntil2p24(s57) | (~until2p23(s57))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6939, 6938])).
% 1.15/1.20 tff(6941,plain,
% 1.15/1.20 (xuntil2p24(s57) | (~until2p23(s57))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6940, 6857, 5486])).
% 1.15/1.20 tff(6942,plain,
% 1.15/1.20 (~until2p23(s57)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6941, 6937])).
% 1.15/1.20 tff(6943,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s56, s57)) | until2p23(s57) | (~xuntil2p24(s56)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s56, s57)) | until2p23(s57) | (~xuntil2p24(s56)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6944,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s56, s57)) | until2p23(s57) | (~xuntil2p24(s56)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6945,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s56, s57)) | until2p23(s57) | (~xuntil2p24(s56))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6944, 6943])).
% 1.15/1.20 tff(6946,plain,
% 1.15/1.20 (until2p23(s57) | (~xuntil2p24(s56))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6945, 4935, 6872])).
% 1.15/1.20 tff(6947,plain,
% 1.15/1.20 (~xuntil2p24(s56)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6946, 6942])).
% 1.15/1.20 tff(6948,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s56) | xuntil2p24(s56) | (~until2p23(s56)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s56) | xuntil2p24(s56) | (~until2p23(s56)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6949,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s56) | xuntil2p24(s56) | (~until2p23(s56)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6950,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s56) | xuntil2p24(s56) | (~until2p23(s56))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 1.15/1.20 tff(6951,plain,
% 1.15/1.20 (xuntil2p24(s56) | (~until2p23(s56))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6950, 6857, 5495])).
% 1.15/1.20 tff(6952,plain,
% 1.15/1.20 (~until2p23(s56)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6951, 6947])).
% 1.15/1.20 tff(6953,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s55, s56)) | until2p23(s56) | (~xuntil2p24(s55)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s55, s56)) | until2p23(s56) | (~xuntil2p24(s55)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6954,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s55, s56)) | until2p23(s56) | (~xuntil2p24(s55)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6955,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s55, s56)) | until2p23(s56) | (~xuntil2p24(s55))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 1.15/1.20 tff(6956,plain,
% 1.15/1.20 (until2p23(s56) | (~xuntil2p24(s55))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6955, 4846, 6872])).
% 1.15/1.20 tff(6957,plain,
% 1.15/1.20 (~xuntil2p24(s55)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6956, 6952])).
% 1.15/1.20 tff(6958,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s55) | xuntil2p24(s55) | (~until2p23(s55)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s55) | xuntil2p24(s55) | (~until2p23(s55)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6959,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s55) | xuntil2p24(s55) | (~until2p23(s55)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6960,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s55) | xuntil2p24(s55) | (~until2p23(s55))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 1.15/1.20 tff(6961,plain,
% 1.15/1.20 (xuntil2p24(s55) | (~until2p23(s55))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6960, 6857, 5503])).
% 1.15/1.20 tff(6962,plain,
% 1.15/1.20 (~until2p23(s55)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6961, 6957])).
% 1.15/1.20 tff(6963,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s54, s55)) | until2p23(s55) | (~xuntil2p24(s54)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s54, s55)) | until2p23(s55) | (~xuntil2p24(s54)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6964,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s54, s55)) | until2p23(s55) | (~xuntil2p24(s54)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6965,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s54, s55)) | until2p23(s55) | (~xuntil2p24(s54))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 1.15/1.20 tff(6966,plain,
% 1.15/1.20 (until2p23(s55) | (~xuntil2p24(s54))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6965, 4771, 6872])).
% 1.15/1.20 tff(6967,plain,
% 1.15/1.20 (~xuntil2p24(s54)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6966, 6962])).
% 1.15/1.20 tff(6968,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s54) | xuntil2p24(s54) | (~until2p23(s54)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s54) | xuntil2p24(s54) | (~until2p23(s54)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6969,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s54) | xuntil2p24(s54) | (~until2p23(s54)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6970,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s54) | xuntil2p24(s54) | (~until2p23(s54))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 1.15/1.20 tff(6971,plain,
% 1.15/1.20 (xuntil2p24(s54) | (~until2p23(s54))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6970, 6857, 6689])).
% 1.15/1.20 tff(6972,plain,
% 1.15/1.20 (~until2p23(s54)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6971, 6967])).
% 1.15/1.20 tff(6973,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s53, s54)) | until2p23(s54) | (~xuntil2p24(s53)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s53, s54)) | until2p23(s54) | (~xuntil2p24(s53)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6974,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s53, s54)) | until2p23(s54) | (~xuntil2p24(s53)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6975,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s53, s54)) | until2p23(s54) | (~xuntil2p24(s53))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 1.15/1.20 tff(6976,plain,
% 1.15/1.20 (until2p23(s54) | (~xuntil2p24(s53))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6975, 4707, 6872])).
% 1.15/1.20 tff(6977,plain,
% 1.15/1.20 (~xuntil2p24(s53)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6976, 6972])).
% 1.15/1.20 tff(6978,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s53) | xuntil2p24(s53) | (~until2p23(s53)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s53) | xuntil2p24(s53) | (~until2p23(s53)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6979,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s53) | xuntil2p24(s53) | (~until2p23(s53)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6980,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s53) | xuntil2p24(s53) | (~until2p23(s53))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6979, 6978])).
% 1.15/1.20 tff(6981,plain,
% 1.15/1.20 (xuntil2p24(s53) | (~until2p23(s53))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6980, 6857, 5519])).
% 1.15/1.20 tff(6982,plain,
% 1.15/1.20 (~until2p23(s53)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6981, 6977])).
% 1.15/1.20 tff(6983,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s52, s53)) | until2p23(s53) | (~xuntil2p24(s52)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s52, s53)) | until2p23(s53) | (~xuntil2p24(s52)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6984,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s52, s53)) | until2p23(s53) | (~xuntil2p24(s52)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6985,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s52, s53)) | until2p23(s53) | (~xuntil2p24(s52))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 1.15/1.20 tff(6986,plain,
% 1.15/1.20 (until2p23(s53) | (~xuntil2p24(s52))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6985, 4612, 6872])).
% 1.15/1.20 tff(6987,plain,
% 1.15/1.20 (~xuntil2p24(s52)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6986, 6982])).
% 1.15/1.20 tff(6988,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s52) | xuntil2p24(s52) | (~until2p23(s52)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s52) | xuntil2p24(s52) | (~until2p23(s52)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6989,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s52) | xuntil2p24(s52) | (~until2p23(s52)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6990,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s52) | xuntil2p24(s52) | (~until2p23(s52))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 1.15/1.20 tff(6991,plain,
% 1.15/1.20 (xuntil2p24(s52) | (~until2p23(s52))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6990, 6857, 5528])).
% 1.15/1.20 tff(6992,plain,
% 1.15/1.20 (~until2p23(s52)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6991, 6987])).
% 1.15/1.20 tff(6993,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s51, s52)) | until2p23(s52) | (~xuntil2p24(s51)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s51, s52)) | until2p23(s52) | (~xuntil2p24(s51)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6994,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s51, s52)) | until2p23(s52) | (~xuntil2p24(s51)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(6995,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s51, s52)) | until2p23(s52) | (~xuntil2p24(s51))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6994, 6993])).
% 1.15/1.20 tff(6996,plain,
% 1.15/1.20 (until2p23(s52) | (~xuntil2p24(s51))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6995, 4551, 6872])).
% 1.15/1.20 tff(6997,plain,
% 1.15/1.20 (~xuntil2p24(s51)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[6996, 6992])).
% 1.15/1.20 tff(6998,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s51) | xuntil2p24(s51) | (~until2p23(s51)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s51) | xuntil2p24(s51) | (~until2p23(s51)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(6999,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s51) | xuntil2p24(s51) | (~until2p23(s51)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7000,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s51) | xuntil2p24(s51) | (~until2p23(s51))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 1.15/1.20 tff(7001,plain,
% 1.15/1.20 (xuntil2p24(s51) | (~until2p23(s51))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7000, 6857, 5536])).
% 1.15/1.20 tff(7002,plain,
% 1.15/1.20 (~until2p23(s51)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7001, 6997])).
% 1.15/1.20 tff(7003,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s50, s51)) | until2p23(s51) | (~xuntil2p24(s50)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s50, s51)) | until2p23(s51) | (~xuntil2p24(s50)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7004,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s50, s51)) | until2p23(s51) | (~xuntil2p24(s50)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7005,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s50, s51)) | until2p23(s51) | (~xuntil2p24(s50))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 1.15/1.20 tff(7006,plain,
% 1.15/1.20 (until2p23(s51) | (~xuntil2p24(s50))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7005, 4473, 6872])).
% 1.15/1.20 tff(7007,plain,
% 1.15/1.20 (~xuntil2p24(s50)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7006, 7002])).
% 1.15/1.20 tff(7008,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s50) | xuntil2p24(s50) | (~until2p23(s50)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s50) | xuntil2p24(s50) | (~until2p23(s50)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7009,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s50) | xuntil2p24(s50) | (~until2p23(s50)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7010,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s50) | xuntil2p24(s50) | (~until2p23(s50))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 1.15/1.20 tff(7011,plain,
% 1.15/1.20 (xuntil2p24(s50) | (~until2p23(s50))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7010, 6857, 6635])).
% 1.15/1.20 tff(7012,plain,
% 1.15/1.20 (~until2p23(s50)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7011, 7007])).
% 1.15/1.20 tff(7013,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s49, s50)) | until2p23(s50) | (~xuntil2p24(s49)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s49, s50)) | until2p23(s50) | (~xuntil2p24(s49)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7014,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s49, s50)) | until2p23(s50) | (~xuntil2p24(s49)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7015,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s49, s50)) | until2p23(s50) | (~xuntil2p24(s49))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 1.15/1.20 tff(7016,plain,
% 1.15/1.20 (until2p23(s50) | (~xuntil2p24(s49))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7015, 4374, 6872])).
% 1.15/1.20 tff(7017,plain,
% 1.15/1.20 (~xuntil2p24(s49)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7016, 7012])).
% 1.15/1.20 tff(7018,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s49) | xuntil2p24(s49) | (~until2p23(s49)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s49) | xuntil2p24(s49) | (~until2p23(s49)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7019,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s49) | xuntil2p24(s49) | (~until2p23(s49)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7020,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s49) | xuntil2p24(s49) | (~until2p23(s49))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 1.15/1.20 tff(7021,plain,
% 1.15/1.20 (xuntil2p24(s49) | (~until2p23(s49))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7020, 6857, 5552])).
% 1.15/1.20 tff(7022,plain,
% 1.15/1.20 (~until2p23(s49)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7021, 7017])).
% 1.15/1.20 tff(7023,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s48, s49)) | until2p23(s49) | (~xuntil2p24(s48)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s48, s49)) | until2p23(s49) | (~xuntil2p24(s48)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7024,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s48, s49)) | until2p23(s49) | (~xuntil2p24(s48)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7025,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s48, s49)) | until2p23(s49) | (~xuntil2p24(s48))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 1.15/1.20 tff(7026,plain,
% 1.15/1.20 (until2p23(s49) | (~xuntil2p24(s48))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7025, 4307, 6872])).
% 1.15/1.20 tff(7027,plain,
% 1.15/1.20 (~xuntil2p24(s48)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7026, 7022])).
% 1.15/1.20 tff(7028,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s48) | xuntil2p24(s48) | (~until2p23(s48)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s48) | xuntil2p24(s48) | (~until2p23(s48)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7029,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s48) | xuntil2p24(s48) | (~until2p23(s48)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7030,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s48) | xuntil2p24(s48) | (~until2p23(s48))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 1.15/1.20 tff(7031,plain,
% 1.15/1.20 (xuntil2p24(s48) | (~until2p23(s48))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7030, 6857, 5561])).
% 1.15/1.20 tff(7032,plain,
% 1.15/1.20 (~until2p23(s48)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7031, 7027])).
% 1.15/1.20 tff(7033,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s47, s48)) | until2p23(s48) | (~xuntil2p24(s47)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s47, s48)) | until2p23(s48) | (~xuntil2p24(s47)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7034,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s47, s48)) | until2p23(s48) | (~xuntil2p24(s47)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7035,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s47, s48)) | until2p23(s48) | (~xuntil2p24(s47))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 1.15/1.20 tff(7036,plain,
% 1.15/1.20 (until2p23(s48) | (~xuntil2p24(s47))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7035, 4218, 6872])).
% 1.15/1.20 tff(7037,plain,
% 1.15/1.20 (~xuntil2p24(s47)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7036, 7032])).
% 1.15/1.20 tff(7038,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s47) | xuntil2p24(s47) | (~until2p23(s47)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s47) | xuntil2p24(s47) | (~until2p23(s47)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7039,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s47) | xuntil2p24(s47) | (~until2p23(s47)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7040,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s47) | xuntil2p24(s47) | (~until2p23(s47))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7039, 7038])).
% 1.15/1.20 tff(7041,plain,
% 1.15/1.20 (xuntil2p24(s47) | (~until2p23(s47))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7040, 6857, 5569])).
% 1.15/1.20 tff(7042,plain,
% 1.15/1.20 (~until2p23(s47)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7041, 7037])).
% 1.15/1.20 tff(7043,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s46, s47)) | until2p23(s47) | (~xuntil2p24(s46)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s46, s47)) | until2p23(s47) | (~xuntil2p24(s46)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7044,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s46, s47)) | until2p23(s47) | (~xuntil2p24(s46)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7045,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s46, s47)) | until2p23(s47) | (~xuntil2p24(s46))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7044, 7043])).
% 1.15/1.20 tff(7046,plain,
% 1.15/1.20 (until2p23(s47) | (~xuntil2p24(s46))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7045, 4143, 6872])).
% 1.15/1.20 tff(7047,plain,
% 1.15/1.20 (~xuntil2p24(s46)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7046, 7042])).
% 1.15/1.20 tff(7048,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s46) | xuntil2p24(s46) | (~until2p23(s46)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s46) | xuntil2p24(s46) | (~until2p23(s46)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7049,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s46) | xuntil2p24(s46) | (~until2p23(s46)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7050,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s46) | xuntil2p24(s46) | (~until2p23(s46))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 1.15/1.20 tff(7051,plain,
% 1.15/1.20 (xuntil2p24(s46) | (~until2p23(s46))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7050, 6857, 6581])).
% 1.15/1.20 tff(7052,plain,
% 1.15/1.20 (~until2p23(s46)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7051, 7047])).
% 1.15/1.20 tff(7053,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s45, s46)) | until2p23(s46) | (~xuntil2p24(s45)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s45, s46)) | until2p23(s46) | (~xuntil2p24(s45)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7054,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s45, s46)) | until2p23(s46) | (~xuntil2p24(s45)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7055,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s45, s46)) | until2p23(s46) | (~xuntil2p24(s45))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 1.15/1.20 tff(7056,plain,
% 1.15/1.20 (until2p23(s46) | (~xuntil2p24(s45))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7055, 4044, 6872])).
% 1.15/1.20 tff(7057,plain,
% 1.15/1.20 (~xuntil2p24(s45)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7056, 7052])).
% 1.15/1.20 tff(7058,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s45) | xuntil2p24(s45) | (~until2p23(s45)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s45) | xuntil2p24(s45) | (~until2p23(s45)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7059,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s45) | xuntil2p24(s45) | (~until2p23(s45)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7060,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s45) | xuntil2p24(s45) | (~until2p23(s45))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 1.15/1.20 tff(7061,plain,
% 1.15/1.20 (xuntil2p24(s45) | (~until2p23(s45))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7060, 6857, 5573])).
% 1.15/1.20 tff(7062,plain,
% 1.15/1.20 (~until2p23(s45)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7061, 7057])).
% 1.15/1.20 tff(7063,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s44, s45)) | until2p23(s45) | (~xuntil2p24(s44)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s44, s45)) | until2p23(s45) | (~xuntil2p24(s44)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7064,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s44, s45)) | until2p23(s45) | (~xuntil2p24(s44)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7065,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s44, s45)) | until2p23(s45) | (~xuntil2p24(s44))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 1.15/1.20 tff(7066,plain,
% 1.15/1.20 (until2p23(s45) | (~xuntil2p24(s44))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7065, 3949, 6872])).
% 1.15/1.20 tff(7067,plain,
% 1.15/1.20 (~xuntil2p24(s44)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7066, 7062])).
% 1.15/1.20 tff(7068,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s44) | xuntil2p24(s44) | (~until2p23(s44)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s44) | xuntil2p24(s44) | (~until2p23(s44)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7069,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s44) | xuntil2p24(s44) | (~until2p23(s44)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7070,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s44) | xuntil2p24(s44) | (~until2p23(s44))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7069, 7068])).
% 1.15/1.20 tff(7071,plain,
% 1.15/1.20 (xuntil2p24(s44) | (~until2p23(s44))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7070, 6857, 5577])).
% 1.15/1.20 tff(7072,plain,
% 1.15/1.20 (~until2p23(s44)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7071, 7067])).
% 1.15/1.20 tff(7073,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s43, s44)) | until2p23(s44) | (~xuntil2p24(s43)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s43, s44)) | until2p23(s44) | (~xuntil2p24(s43)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7074,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s43, s44)) | until2p23(s44) | (~xuntil2p24(s43)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7075,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s43, s44)) | until2p23(s44) | (~xuntil2p24(s43))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7074, 7073])).
% 1.15/1.20 tff(7076,plain,
% 1.15/1.20 (until2p23(s44) | (~xuntil2p24(s43))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7075, 3888, 6872])).
% 1.15/1.20 tff(7077,plain,
% 1.15/1.20 (~xuntil2p24(s43)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7076, 7072])).
% 1.15/1.20 tff(7078,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s43) | xuntil2p24(s43) | (~until2p23(s43)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s43) | xuntil2p24(s43) | (~until2p23(s43)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7079,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s43) | xuntil2p24(s43) | (~until2p23(s43)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7080,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s43) | xuntil2p24(s43) | (~until2p23(s43))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 1.15/1.20 tff(7081,plain,
% 1.15/1.20 (xuntil2p24(s43) | (~until2p23(s43))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7080, 6857, 5585])).
% 1.15/1.20 tff(7082,plain,
% 1.15/1.20 (~until2p23(s43)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7081, 7077])).
% 1.15/1.20 tff(7083,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s42, s43)) | until2p23(s43) | (~xuntil2p24(s42)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s42, s43)) | until2p23(s43) | (~xuntil2p24(s42)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7084,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s42, s43)) | until2p23(s43) | (~xuntil2p24(s42)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7085,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s42, s43)) | until2p23(s43) | (~xuntil2p24(s42))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 1.15/1.20 tff(7086,plain,
% 1.15/1.20 (until2p23(s43) | (~xuntil2p24(s42))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7085, 3810, 6872])).
% 1.15/1.20 tff(7087,plain,
% 1.15/1.20 (~xuntil2p24(s42)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7086, 7082])).
% 1.15/1.20 tff(7088,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s42) | xuntil2p24(s42) | (~until2p23(s42)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s42) | xuntil2p24(s42) | (~until2p23(s42)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7089,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s42) | xuntil2p24(s42) | (~until2p23(s42)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7090,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s42) | xuntil2p24(s42) | (~until2p23(s42))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 1.15/1.20 tff(7091,plain,
% 1.15/1.20 (xuntil2p24(s42) | (~until2p23(s42))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7090, 6857, 6527])).
% 1.15/1.20 tff(7092,plain,
% 1.15/1.20 (~until2p23(s42)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7091, 7087])).
% 1.15/1.20 tff(7093,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s41, s42)) | until2p23(s42) | (~xuntil2p24(s41)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s41, s42)) | until2p23(s42) | (~xuntil2p24(s41)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7094,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s41, s42)) | until2p23(s42) | (~xuntil2p24(s41)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7095,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s41, s42)) | until2p23(s42) | (~xuntil2p24(s41))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7094, 7093])).
% 1.15/1.20 tff(7096,plain,
% 1.15/1.20 (until2p23(s42) | (~xuntil2p24(s41))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7095, 3711, 6872])).
% 1.15/1.20 tff(7097,plain,
% 1.15/1.20 (~xuntil2p24(s41)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7096, 7092])).
% 1.15/1.20 tff(7098,plain,
% 1.15/1.20 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s41) | xuntil2p24(s41) | (~until2p23(s41)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s41) | xuntil2p24(s41) | (~until2p23(s41)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7099,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s41) | xuntil2p24(s41) | (~until2p23(s41)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7100,plain,
% 1.15/1.20 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s41) | xuntil2p24(s41) | (~until2p23(s41))),
% 1.15/1.20 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 1.15/1.20 tff(7101,plain,
% 1.15/1.20 (xuntil2p24(s41) | (~until2p23(s41))),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7100, 6857, 5601])).
% 1.15/1.20 tff(7102,plain,
% 1.15/1.20 (~until2p23(s41)),
% 1.15/1.20 inference(unit_resolution,[status(thm)],[7101, 7097])).
% 1.15/1.20 tff(7103,plain,
% 1.15/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s40, s41)) | until2p23(s41) | (~xuntil2p24(s40)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s40, s41)) | until2p23(s41) | (~xuntil2p24(s40)))),
% 1.15/1.20 inference(rewrite,[status(thm)],[])).
% 1.15/1.20 tff(7104,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s40, s41)) | until2p23(s41) | (~xuntil2p24(s40)))),
% 1.15/1.20 inference(quant_inst,[status(thm)],[])).
% 1.15/1.20 tff(7105,plain,
% 1.15/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s40, s41)) | until2p23(s41) | (~xuntil2p24(s40))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 1.15/1.21 tff(7106,plain,
% 1.15/1.21 (until2p23(s41) | (~xuntil2p24(s40))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7105, 3644, 6872])).
% 1.15/1.21 tff(7107,plain,
% 1.15/1.21 (~xuntil2p24(s40)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7106, 7102])).
% 1.15/1.21 tff(7108,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s40) | xuntil2p24(s40) | (~until2p23(s40)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s40) | xuntil2p24(s40) | (~until2p23(s40)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7109,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s40) | xuntil2p24(s40) | (~until2p23(s40)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7110,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s40) | xuntil2p24(s40) | (~until2p23(s40))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 1.15/1.21 tff(7111,plain,
% 1.15/1.21 (xuntil2p24(s40) | (~until2p23(s40))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7110, 6857, 5610])).
% 1.15/1.21 tff(7112,plain,
% 1.15/1.21 (~until2p23(s40)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7111, 7107])).
% 1.15/1.21 tff(7113,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s39, s40)) | until2p23(s40) | (~xuntil2p24(s39)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s39, s40)) | until2p23(s40) | (~xuntil2p24(s39)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7114,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s39, s40)) | until2p23(s40) | (~xuntil2p24(s39)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7115,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s39, s40)) | until2p23(s40) | (~xuntil2p24(s39))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 1.15/1.21 tff(7116,plain,
% 1.15/1.21 (until2p23(s40) | (~xuntil2p24(s39))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7115, 3555, 6872])).
% 1.15/1.21 tff(7117,plain,
% 1.15/1.21 (~xuntil2p24(s39)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7116, 7112])).
% 1.15/1.21 tff(7118,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s39) | xuntil2p24(s39) | (~until2p23(s39)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s39) | xuntil2p24(s39) | (~until2p23(s39)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7119,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s39) | xuntil2p24(s39) | (~until2p23(s39)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7120,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s39) | xuntil2p24(s39) | (~until2p23(s39))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 1.15/1.21 tff(7121,plain,
% 1.15/1.21 (xuntil2p24(s39) | (~until2p23(s39))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7120, 6857, 5618])).
% 1.15/1.21 tff(7122,plain,
% 1.15/1.21 (~until2p23(s39)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7121, 7117])).
% 1.15/1.21 tff(7123,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s38, s39)) | until2p23(s39) | (~xuntil2p24(s38)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s38, s39)) | until2p23(s39) | (~xuntil2p24(s38)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7124,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s38, s39)) | until2p23(s39) | (~xuntil2p24(s38)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7125,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s38, s39)) | until2p23(s39) | (~xuntil2p24(s38))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 1.15/1.21 tff(7126,plain,
% 1.15/1.21 (until2p23(s39) | (~xuntil2p24(s38))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7125, 3480, 6872])).
% 1.15/1.21 tff(7127,plain,
% 1.15/1.21 (~xuntil2p24(s38)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7126, 7122])).
% 1.15/1.21 tff(7128,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s38) | xuntil2p24(s38) | (~until2p23(s38)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s38) | xuntil2p24(s38) | (~until2p23(s38)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7129,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s38) | xuntil2p24(s38) | (~until2p23(s38)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7130,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s38) | xuntil2p24(s38) | (~until2p23(s38))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7129, 7128])).
% 1.15/1.21 tff(7131,plain,
% 1.15/1.21 (xuntil2p24(s38) | (~until2p23(s38))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7130, 6857, 6473])).
% 1.15/1.21 tff(7132,plain,
% 1.15/1.21 (~until2p23(s38)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7131, 7127])).
% 1.15/1.21 tff(7133,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s37, s38)) | until2p23(s38) | (~xuntil2p24(s37)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s37, s38)) | until2p23(s38) | (~xuntil2p24(s37)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7134,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s37, s38)) | until2p23(s38) | (~xuntil2p24(s37)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7135,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s37, s38)) | until2p23(s38) | (~xuntil2p24(s37))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7134, 7133])).
% 1.15/1.21 tff(7136,plain,
% 1.15/1.21 (until2p23(s38) | (~xuntil2p24(s37))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7135, 3416, 6872])).
% 1.15/1.21 tff(7137,plain,
% 1.15/1.21 (~xuntil2p24(s37)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7136, 7132])).
% 1.15/1.21 tff(7138,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s37) | xuntil2p24(s37) | (~until2p23(s37)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s37) | xuntil2p24(s37) | (~until2p23(s37)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7139,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s37) | xuntil2p24(s37) | (~until2p23(s37)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7140,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s37) | xuntil2p24(s37) | (~until2p23(s37))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 1.15/1.21 tff(7141,plain,
% 1.15/1.21 (xuntil2p24(s37) | (~until2p23(s37))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7140, 6857, 5634])).
% 1.15/1.21 tff(7142,plain,
% 1.15/1.21 (~until2p23(s37)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7141, 7137])).
% 1.15/1.21 tff(7143,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s36, s37)) | until2p23(s37) | (~xuntil2p24(s36)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s36, s37)) | until2p23(s37) | (~xuntil2p24(s36)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7144,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s36, s37)) | until2p23(s37) | (~xuntil2p24(s36)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7145,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s36, s37)) | until2p23(s37) | (~xuntil2p24(s36))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 1.15/1.21 tff(7146,plain,
% 1.15/1.21 (until2p23(s37) | (~xuntil2p24(s36))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7145, 3321, 6872])).
% 1.15/1.21 tff(7147,plain,
% 1.15/1.21 (~xuntil2p24(s36)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7146, 7142])).
% 1.15/1.21 tff(7148,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s36) | xuntil2p24(s36) | (~until2p23(s36)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s36) | xuntil2p24(s36) | (~until2p23(s36)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7149,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s36) | xuntil2p24(s36) | (~until2p23(s36)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7150,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s36) | xuntil2p24(s36) | (~until2p23(s36))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 1.15/1.21 tff(7151,plain,
% 1.15/1.21 (xuntil2p24(s36) | (~until2p23(s36))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7150, 6857, 5643])).
% 1.15/1.21 tff(7152,plain,
% 1.15/1.21 (~until2p23(s36)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7151, 7147])).
% 1.15/1.21 tff(7153,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s35, s36)) | until2p23(s36) | (~xuntil2p24(s35)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s35, s36)) | until2p23(s36) | (~xuntil2p24(s35)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7154,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s35, s36)) | until2p23(s36) | (~xuntil2p24(s35)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7155,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s35, s36)) | until2p23(s36) | (~xuntil2p24(s35))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 1.15/1.21 tff(7156,plain,
% 1.15/1.21 (until2p23(s36) | (~xuntil2p24(s35))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7155, 3260, 6872])).
% 1.15/1.21 tff(7157,plain,
% 1.15/1.21 (~xuntil2p24(s35)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7156, 7152])).
% 1.15/1.21 tff(7158,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s35) | xuntil2p24(s35) | (~until2p23(s35)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s35) | xuntil2p24(s35) | (~until2p23(s35)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7159,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s35) | xuntil2p24(s35) | (~until2p23(s35)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7160,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s35) | xuntil2p24(s35) | (~until2p23(s35))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 1.15/1.21 tff(7161,plain,
% 1.15/1.21 (xuntil2p24(s35) | (~until2p23(s35))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7160, 6857, 5651])).
% 1.15/1.21 tff(7162,plain,
% 1.15/1.21 (~until2p23(s35)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7161, 7157])).
% 1.15/1.21 tff(7163,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s34, s35)) | until2p23(s35) | (~xuntil2p24(s34)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s34, s35)) | until2p23(s35) | (~xuntil2p24(s34)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7164,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s34, s35)) | until2p23(s35) | (~xuntil2p24(s34)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7165,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s34, s35)) | until2p23(s35) | (~xuntil2p24(s34))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 1.15/1.21 tff(7166,plain,
% 1.15/1.21 (until2p23(s35) | (~xuntil2p24(s34))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7165, 3182, 6872])).
% 1.15/1.21 tff(7167,plain,
% 1.15/1.21 (~xuntil2p24(s34)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7166, 7162])).
% 1.15/1.21 tff(7168,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s34) | xuntil2p24(s34) | (~until2p23(s34)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s34) | xuntil2p24(s34) | (~until2p23(s34)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7169,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s34) | xuntil2p24(s34) | (~until2p23(s34)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7170,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s34) | xuntil2p24(s34) | (~until2p23(s34))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 1.15/1.21 tff(7171,plain,
% 1.15/1.21 (xuntil2p24(s34) | (~until2p23(s34))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7170, 6857, 6419])).
% 1.15/1.21 tff(7172,plain,
% 1.15/1.21 (~until2p23(s34)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7171, 7167])).
% 1.15/1.21 tff(7173,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s33, s34)) | until2p23(s34) | (~xuntil2p24(s33)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s33, s34)) | until2p23(s34) | (~xuntil2p24(s33)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7174,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s33, s34)) | until2p23(s34) | (~xuntil2p24(s33)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7175,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s33, s34)) | until2p23(s34) | (~xuntil2p24(s33))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 1.15/1.21 tff(7176,plain,
% 1.15/1.21 (until2p23(s34) | (~xuntil2p24(s33))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7175, 3083, 6872])).
% 1.15/1.21 tff(7177,plain,
% 1.15/1.21 (~xuntil2p24(s33)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7176, 7172])).
% 1.15/1.21 tff(7178,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s33) | xuntil2p24(s33) | (~until2p23(s33)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s33) | xuntil2p24(s33) | (~until2p23(s33)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7179,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s33) | xuntil2p24(s33) | (~until2p23(s33)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7180,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s33) | xuntil2p24(s33) | (~until2p23(s33))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 1.15/1.21 tff(7181,plain,
% 1.15/1.21 (xuntil2p24(s33) | (~until2p23(s33))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7180, 6857, 5667])).
% 1.15/1.21 tff(7182,plain,
% 1.15/1.21 (~until2p23(s33)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7181, 7177])).
% 1.15/1.21 tff(7183,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s32, s33)) | until2p23(s33) | (~xuntil2p24(s32)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s32, s33)) | until2p23(s33) | (~xuntil2p24(s32)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7184,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s32, s33)) | until2p23(s33) | (~xuntil2p24(s32)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7185,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s32, s33)) | until2p23(s33) | (~xuntil2p24(s32))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7184, 7183])).
% 1.15/1.21 tff(7186,plain,
% 1.15/1.21 (until2p23(s33) | (~xuntil2p24(s32))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7185, 3016, 6872])).
% 1.15/1.21 tff(7187,plain,
% 1.15/1.21 (~xuntil2p24(s32)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7186, 7182])).
% 1.15/1.21 tff(7188,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s32) | xuntil2p24(s32) | (~until2p23(s32)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s32) | xuntil2p24(s32) | (~until2p23(s32)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7189,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s32) | xuntil2p24(s32) | (~until2p23(s32)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7190,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s32) | xuntil2p24(s32) | (~until2p23(s32))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 1.15/1.21 tff(7191,plain,
% 1.15/1.21 (xuntil2p24(s32) | (~until2p23(s32))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7190, 6857, 5676])).
% 1.15/1.21 tff(7192,plain,
% 1.15/1.21 (~until2p23(s32)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7191, 7187])).
% 1.15/1.21 tff(7193,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s31, s32)) | until2p23(s32) | (~xuntil2p24(s31)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s31, s32)) | until2p23(s32) | (~xuntil2p24(s31)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7194,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s31, s32)) | until2p23(s32) | (~xuntil2p24(s31)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7195,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s31, s32)) | until2p23(s32) | (~xuntil2p24(s31))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7194, 7193])).
% 1.15/1.21 tff(7196,plain,
% 1.15/1.21 (until2p23(s32) | (~xuntil2p24(s31))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7195, 2927, 6872])).
% 1.15/1.21 tff(7197,plain,
% 1.15/1.21 (~xuntil2p24(s31)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7196, 7192])).
% 1.15/1.21 tff(7198,plain,
% 1.15/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s31) | xuntil2p24(s31) | (~until2p23(s31)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s31) | xuntil2p24(s31) | (~until2p23(s31)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7199,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s31) | xuntil2p24(s31) | (~until2p23(s31)))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7200,plain,
% 1.15/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s31) | xuntil2p24(s31) | (~until2p23(s31))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 1.15/1.21 tff(7201,plain,
% 1.15/1.21 (xuntil2p24(s31) | (~until2p23(s31))),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7200, 6857, 5684])).
% 1.15/1.21 tff(7202,plain,
% 1.15/1.21 (~until2p23(s31)),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7201, 7197])).
% 1.15/1.21 tff(7203,plain,
% 1.15/1.21 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y)))),
% 1.15/1.21 inference(bind,[status(th)],[])).
% 1.15/1.21 tff(7204,plain,
% 1.15/1.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 1.15/1.21 inference(quant_intro,[status(thm)],[7203])).
% 1.15/1.21 tff(7205,plain,
% 1.15/1.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7206,plain,
% 1.15/1.21 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p23(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~trans(X, Y)) | (~last(X)) | until2p23(Y))), ((((until2p23(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil22(X))) <=> (((~trans(X, Y)) | (~last(X)) | until2p23(Y)) | (~xuntil22(X))))), rewrite((((~trans(X, Y)) | (~last(X)) | until2p23(Y)) | (~xuntil22(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))), ((((until2p23(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil22(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))))),
% 1.15/1.21 inference(bind,[status(th)],[])).
% 1.15/1.21 tff(7207,plain,
% 1.15/1.21 (![Y: $i, X: $i] : (((until2p23(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil22(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 1.15/1.21 inference(quant_intro,[status(thm)],[7206])).
% 1.15/1.21 tff(7208,axiom,(![Y: $i, X: $i] : (((until2p23(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil22(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty9')).
% 1.15/1.21 tff(7209,plain,
% 1.15/1.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7208, 7207])).
% 1.15/1.21 tff(7210,plain,
% 1.15/1.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7209, 7205])).
% 1.15/1.21 tff(7211,plain,(
% 1.15/1.21 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 1.15/1.21 inference(skolemize,[status(sab)],[7210])).
% 1.15/1.21 tff(7212,plain,
% 1.15/1.21 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7211, 7204])).
% 1.15/1.21 tff(7213,assumption,(xuntil22(s64)), introduced(assumption)).
% 1.15/1.21 tff(7214,assumption,(~until2p23(s41)), introduced(assumption)).
% 1.15/1.21 tff(7215,assumption,(trans(s64, s41)), introduced(assumption)).
% 1.15/1.21 tff(7216,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s41) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s41) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s41)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7217,plain,
% 1.15/1.21 (((~trans(s64, s41)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s41)) <=> (until2p23(s41) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s41)))),
% 1.15/1.21 inference(rewrite,[status(thm)],[])).
% 1.15/1.21 tff(7218,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s41)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s41) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s41))))),
% 1.15/1.21 inference(monotonicity,[status(thm)],[7217])).
% 1.15/1.21 tff(7219,plain,
% 1.15/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s41)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s41) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s41)))),
% 1.15/1.21 inference(transitivity,[status(thm)],[7218, 7216])).
% 1.15/1.21 tff(7220,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s41)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s41))),
% 1.15/1.21 inference(quant_inst,[status(thm)],[])).
% 1.15/1.21 tff(7221,plain,
% 1.15/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s41) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s41))),
% 1.15/1.21 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 1.15/1.21 tff(7222,plain,
% 1.15/1.21 ($false),
% 1.15/1.21 inference(unit_resolution,[status(thm)],[7221, 6843, 7215, 7212, 7214, 7213])).
% 1.19/1.21 tff(7223,plain,((~trans(s64, s41)) | until2p23(s41) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.21 tff(7224,plain,
% 1.19/1.21 (~trans(s64, s41)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7223, 7102, 6833])).
% 1.19/1.21 tff(7225,assumption,(~until2p23(s45)), introduced(assumption)).
% 1.19/1.21 tff(7226,assumption,(trans(s64, s45)), introduced(assumption)).
% 1.19/1.21 tff(7227,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s45) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s45) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s45)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7228,plain,
% 1.19/1.21 (((~trans(s64, s45)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s45)) <=> (until2p23(s45) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s45)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7229,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s45)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s45) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s45))))),
% 1.19/1.21 inference(monotonicity,[status(thm)],[7228])).
% 1.19/1.21 tff(7230,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s45)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s45) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s45)))),
% 1.19/1.21 inference(transitivity,[status(thm)],[7229, 7227])).
% 1.19/1.21 tff(7231,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s45)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s45))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7232,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s45) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s45))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 1.19/1.21 tff(7233,plain,
% 1.19/1.21 ($false),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7232, 6843, 7226, 7212, 7225, 7213])).
% 1.19/1.21 tff(7234,plain,((~trans(s64, s45)) | until2p23(s45) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.21 tff(7235,plain,
% 1.19/1.21 (~trans(s64, s45)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7234, 7062, 6833])).
% 1.19/1.21 tff(7236,assumption,(~until2p23(s54)), introduced(assumption)).
% 1.19/1.21 tff(7237,assumption,(trans(s64, s54)), introduced(assumption)).
% 1.19/1.21 tff(7238,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s54) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s54) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s54)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7239,plain,
% 1.19/1.21 (((~trans(s64, s54)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s54)) <=> (until2p23(s54) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s54)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7240,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s54)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s54) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s54))))),
% 1.19/1.21 inference(monotonicity,[status(thm)],[7239])).
% 1.19/1.21 tff(7241,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s54)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s54) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s54)))),
% 1.19/1.21 inference(transitivity,[status(thm)],[7240, 7238])).
% 1.19/1.21 tff(7242,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s54)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s54))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7243,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s54) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s54))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 1.19/1.21 tff(7244,plain,
% 1.19/1.21 ($false),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7243, 6843, 7237, 7212, 7236, 7213])).
% 1.19/1.21 tff(7245,plain,((~trans(s64, s54)) | until2p23(s54) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.21 tff(7246,plain,
% 1.19/1.21 (~trans(s64, s54)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7245, 6972, 6833])).
% 1.19/1.21 tff(7247,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s30, s31)) | until2p23(s31) | (~xuntil2p24(s30)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s30, s31)) | until2p23(s31) | (~xuntil2p24(s30)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7248,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s30, s31)) | until2p23(s31) | (~xuntil2p24(s30)))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7249,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s30, s31)) | until2p23(s31) | (~xuntil2p24(s30))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7248, 7247])).
% 1.19/1.21 tff(7250,plain,
% 1.19/1.21 (until2p23(s31) | (~xuntil2p24(s30))),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7249, 2852, 6872])).
% 1.19/1.21 tff(7251,plain,
% 1.19/1.21 (~xuntil2p24(s30)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7250, 7202])).
% 1.19/1.21 tff(7252,plain,
% 1.19/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s30) | xuntil2p24(s30) | (~until2p23(s30)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s30) | xuntil2p24(s30) | (~until2p23(s30)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7253,plain,
% 1.19/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s30) | xuntil2p24(s30) | (~until2p23(s30)))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7254,plain,
% 1.19/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s30) | xuntil2p24(s30) | (~until2p23(s30))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7253, 7252])).
% 1.19/1.21 tff(7255,plain,
% 1.19/1.21 (xuntil2p24(s30) | (~until2p23(s30))),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7254, 6857, 6365])).
% 1.19/1.21 tff(7256,plain,
% 1.19/1.21 (~until2p23(s30)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7255, 7251])).
% 1.19/1.21 tff(7257,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s29, s30)) | until2p23(s30) | (~xuntil2p24(s29)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s29, s30)) | until2p23(s30) | (~xuntil2p24(s29)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7258,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s29, s30)) | until2p23(s30) | (~xuntil2p24(s29)))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7259,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s29, s30)) | until2p23(s30) | (~xuntil2p24(s29))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 1.19/1.21 tff(7260,plain,
% 1.19/1.21 (until2p23(s30) | (~xuntil2p24(s29))),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7259, 2788, 6872])).
% 1.19/1.21 tff(7261,plain,
% 1.19/1.21 (~xuntil2p24(s29)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7260, 7256])).
% 1.19/1.21 tff(7262,plain,
% 1.19/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s29) | xuntil2p24(s29) | (~until2p23(s29)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s29) | xuntil2p24(s29) | (~until2p23(s29)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7263,plain,
% 1.19/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s29) | xuntil2p24(s29) | (~until2p23(s29)))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7264,plain,
% 1.19/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s29) | xuntil2p24(s29) | (~until2p23(s29))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 1.19/1.21 tff(7265,plain,
% 1.19/1.21 (xuntil2p24(s29) | (~until2p23(s29))),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7264, 6857, 5700])).
% 1.19/1.21 tff(7266,plain,
% 1.19/1.21 (~until2p23(s29)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7265, 7261])).
% 1.19/1.21 tff(7267,plain,
% 1.19/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s28, s29)) | until2p23(s29) | (~xuntil2p24(s28)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s28, s29)) | until2p23(s29) | (~xuntil2p24(s28)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7268,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s28, s29)) | until2p23(s29) | (~xuntil2p24(s28)))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7269,plain,
% 1.19/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s28, s29)) | until2p23(s29) | (~xuntil2p24(s28))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 1.19/1.21 tff(7270,plain,
% 1.19/1.21 (until2p23(s29) | (~xuntil2p24(s28))),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7269, 2693, 6872])).
% 1.19/1.21 tff(7271,plain,
% 1.19/1.21 (~xuntil2p24(s28)),
% 1.19/1.21 inference(unit_resolution,[status(thm)],[7270, 7266])).
% 1.19/1.21 tff(7272,plain,
% 1.19/1.21 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s28) | xuntil2p24(s28) | (~until2p23(s28)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s28) | xuntil2p24(s28) | (~until2p23(s28)))),
% 1.19/1.21 inference(rewrite,[status(thm)],[])).
% 1.19/1.21 tff(7273,plain,
% 1.19/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s28) | xuntil2p24(s28) | (~until2p23(s28)))),
% 1.19/1.21 inference(quant_inst,[status(thm)],[])).
% 1.19/1.21 tff(7274,plain,
% 1.19/1.21 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s28) | xuntil2p24(s28) | (~until2p23(s28))),
% 1.19/1.21 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 1.19/1.21 tff(7275,plain,
% 1.19/1.22 (xuntil2p24(s28) | (~until2p23(s28))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7274, 6857, 5709])).
% 1.19/1.22 tff(7276,plain,
% 1.19/1.22 (~until2p23(s28)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7275, 7271])).
% 1.19/1.22 tff(7277,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s27, s28)) | until2p23(s28) | (~xuntil2p24(s27)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s27, s28)) | until2p23(s28) | (~xuntil2p24(s27)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7278,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s27, s28)) | until2p23(s28) | (~xuntil2p24(s27)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7279,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s27, s28)) | until2p23(s28) | (~xuntil2p24(s27))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 1.19/1.22 tff(7280,plain,
% 1.19/1.22 (until2p23(s28) | (~xuntil2p24(s27))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7279, 2632, 6872])).
% 1.19/1.22 tff(7281,plain,
% 1.19/1.22 (~xuntil2p24(s27)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7280, 7276])).
% 1.19/1.22 tff(7282,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s27) | xuntil2p24(s27) | (~until2p23(s27)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s27) | xuntil2p24(s27) | (~until2p23(s27)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7283,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s27) | xuntil2p24(s27) | (~until2p23(s27)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7284,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s27) | xuntil2p24(s27) | (~until2p23(s27))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 1.19/1.22 tff(7285,plain,
% 1.19/1.22 (xuntil2p24(s27) | (~until2p23(s27))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7284, 6857, 5717])).
% 1.19/1.22 tff(7286,plain,
% 1.19/1.22 (~until2p23(s27)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7285, 7281])).
% 1.19/1.22 tff(7287,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s26, s27)) | until2p23(s27) | (~xuntil2p24(s26)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s26, s27)) | until2p23(s27) | (~xuntil2p24(s26)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7288,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s26, s27)) | until2p23(s27) | (~xuntil2p24(s26)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7289,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s26, s27)) | until2p23(s27) | (~xuntil2p24(s26))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 1.19/1.22 tff(7290,plain,
% 1.19/1.22 (until2p23(s27) | (~xuntil2p24(s26))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7289, 2554, 6872])).
% 1.19/1.22 tff(7291,plain,
% 1.19/1.22 (~xuntil2p24(s26)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7290, 7286])).
% 1.19/1.22 tff(7292,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s26) | xuntil2p24(s26) | (~until2p23(s26)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s26) | xuntil2p24(s26) | (~until2p23(s26)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7293,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s26) | xuntil2p24(s26) | (~until2p23(s26)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7294,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s26) | xuntil2p24(s26) | (~until2p23(s26))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7293, 7292])).
% 1.19/1.22 tff(7295,plain,
% 1.19/1.22 (xuntil2p24(s26) | (~until2p23(s26))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7294, 6857, 6311])).
% 1.19/1.22 tff(7296,plain,
% 1.19/1.22 (~until2p23(s26)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7295, 7291])).
% 1.19/1.22 tff(7297,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s25, s26)) | until2p23(s26) | (~xuntil2p24(s25)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s25, s26)) | until2p23(s26) | (~xuntil2p24(s25)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7298,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s25, s26)) | until2p23(s26) | (~xuntil2p24(s25)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7299,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s25, s26)) | until2p23(s26) | (~xuntil2p24(s25))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 1.19/1.22 tff(7300,plain,
% 1.19/1.22 (until2p23(s26) | (~xuntil2p24(s25))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7299, 2455, 6872])).
% 1.19/1.22 tff(7301,plain,
% 1.19/1.22 (~xuntil2p24(s25)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7300, 7296])).
% 1.19/1.22 tff(7302,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s25) | xuntil2p24(s25) | (~until2p23(s25)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s25) | xuntil2p24(s25) | (~until2p23(s25)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7303,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s25) | xuntil2p24(s25) | (~until2p23(s25)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7304,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s25) | xuntil2p24(s25) | (~until2p23(s25))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7303, 7302])).
% 1.19/1.22 tff(7305,plain,
% 1.19/1.22 (xuntil2p24(s25) | (~until2p23(s25))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7304, 6857, 5733])).
% 1.19/1.22 tff(7306,plain,
% 1.19/1.22 (~until2p23(s25)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7305, 7301])).
% 1.19/1.22 tff(7307,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s24, s25)) | until2p23(s25) | (~xuntil2p24(s24)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s24, s25)) | until2p23(s25) | (~xuntil2p24(s24)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7308,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s24, s25)) | until2p23(s25) | (~xuntil2p24(s24)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7309,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s24, s25)) | until2p23(s25) | (~xuntil2p24(s24))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7308, 7307])).
% 1.19/1.22 tff(7310,plain,
% 1.19/1.22 (until2p23(s25) | (~xuntil2p24(s24))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7309, 2388, 6872])).
% 1.19/1.22 tff(7311,plain,
% 1.19/1.22 (~xuntil2p24(s24)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7310, 7306])).
% 1.19/1.22 tff(7312,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s24) | xuntil2p24(s24) | (~until2p23(s24)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s24) | xuntil2p24(s24) | (~until2p23(s24)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7313,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s24) | xuntil2p24(s24) | (~until2p23(s24)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7314,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s24) | xuntil2p24(s24) | (~until2p23(s24))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 1.19/1.22 tff(7315,plain,
% 1.19/1.22 (xuntil2p24(s24) | (~until2p23(s24))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7314, 6857, 5742])).
% 1.19/1.22 tff(7316,plain,
% 1.19/1.22 (~until2p23(s24)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7315, 7311])).
% 1.19/1.22 tff(7317,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s23, s24)) | until2p23(s24) | (~xuntil2p24(s23)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s23, s24)) | until2p23(s24) | (~xuntil2p24(s23)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7318,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s23, s24)) | until2p23(s24) | (~xuntil2p24(s23)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7319,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s23, s24)) | until2p23(s24) | (~xuntil2p24(s23))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7318, 7317])).
% 1.19/1.22 tff(7320,plain,
% 1.19/1.22 (until2p23(s24) | (~xuntil2p24(s23))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7319, 2299, 6872])).
% 1.19/1.22 tff(7321,plain,
% 1.19/1.22 (~xuntil2p24(s23)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7320, 7316])).
% 1.19/1.22 tff(7322,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s23) | xuntil2p24(s23) | (~until2p23(s23)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s23) | xuntil2p24(s23) | (~until2p23(s23)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7323,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s23) | xuntil2p24(s23) | (~until2p23(s23)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7324,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s23) | xuntil2p24(s23) | (~until2p23(s23))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7323, 7322])).
% 1.19/1.22 tff(7325,plain,
% 1.19/1.22 (xuntil2p24(s23) | (~until2p23(s23))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7324, 6857, 5750])).
% 1.19/1.22 tff(7326,plain,
% 1.19/1.22 (~until2p23(s23)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7325, 7321])).
% 1.19/1.22 tff(7327,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s22, s23)) | until2p23(s23) | (~xuntil2p24(s22)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s22, s23)) | until2p23(s23) | (~xuntil2p24(s22)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7328,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s22, s23)) | until2p23(s23) | (~xuntil2p24(s22)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7329,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s22, s23)) | until2p23(s23) | (~xuntil2p24(s22))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7328, 7327])).
% 1.19/1.22 tff(7330,plain,
% 1.19/1.22 (until2p23(s23) | (~xuntil2p24(s22))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7329, 2224, 6872])).
% 1.19/1.22 tff(7331,plain,
% 1.19/1.22 (~xuntil2p24(s22)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7330, 7326])).
% 1.19/1.22 tff(7332,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s22) | xuntil2p24(s22) | (~until2p23(s22)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s22) | xuntil2p24(s22) | (~until2p23(s22)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7333,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s22) | xuntil2p24(s22) | (~until2p23(s22)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7334,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s22) | xuntil2p24(s22) | (~until2p23(s22))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 1.19/1.22 tff(7335,plain,
% 1.19/1.22 (xuntil2p24(s22) | (~until2p23(s22))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7334, 6857, 6257])).
% 1.19/1.22 tff(7336,plain,
% 1.19/1.22 (~until2p23(s22)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7335, 7331])).
% 1.19/1.22 tff(7337,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s21, s22)) | until2p23(s22) | (~xuntil2p24(s21)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s21, s22)) | until2p23(s22) | (~xuntil2p24(s21)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7338,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s21, s22)) | until2p23(s22) | (~xuntil2p24(s21)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7339,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s21, s22)) | until2p23(s22) | (~xuntil2p24(s21))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 1.19/1.22 tff(7340,plain,
% 1.19/1.22 (until2p23(s22) | (~xuntil2p24(s21))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7339, 2160, 6872])).
% 1.19/1.22 tff(7341,plain,
% 1.19/1.22 (~xuntil2p24(s21)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7340, 7336])).
% 1.19/1.22 tff(7342,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s21) | xuntil2p24(s21) | (~until2p23(s21)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s21) | xuntil2p24(s21) | (~until2p23(s21)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7343,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s21) | xuntil2p24(s21) | (~until2p23(s21)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7344,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s21) | xuntil2p24(s21) | (~until2p23(s21))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7343, 7342])).
% 1.19/1.22 tff(7345,plain,
% 1.19/1.22 (xuntil2p24(s21) | (~until2p23(s21))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7344, 6857, 5766])).
% 1.19/1.22 tff(7346,plain,
% 1.19/1.22 (~until2p23(s21)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7345, 7341])).
% 1.19/1.22 tff(7347,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s20, s21)) | until2p23(s21) | (~xuntil2p24(s20)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s20, s21)) | until2p23(s21) | (~xuntil2p24(s20)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7348,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s20, s21)) | until2p23(s21) | (~xuntil2p24(s20)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7349,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s20, s21)) | until2p23(s21) | (~xuntil2p24(s20))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 1.19/1.22 tff(7350,plain,
% 1.19/1.22 (until2p23(s21) | (~xuntil2p24(s20))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7349, 2065, 6872])).
% 1.19/1.22 tff(7351,plain,
% 1.19/1.22 (~xuntil2p24(s20)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7350, 7346])).
% 1.19/1.22 tff(7352,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s20) | xuntil2p24(s20) | (~until2p23(s20)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s20) | xuntil2p24(s20) | (~until2p23(s20)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7353,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s20) | xuntil2p24(s20) | (~until2p23(s20)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7354,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s20) | xuntil2p24(s20) | (~until2p23(s20))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7353, 7352])).
% 1.19/1.22 tff(7355,plain,
% 1.19/1.22 (xuntil2p24(s20) | (~until2p23(s20))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7354, 6857, 5775])).
% 1.19/1.22 tff(7356,plain,
% 1.19/1.22 (~until2p23(s20)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7355, 7351])).
% 1.19/1.22 tff(7357,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s19, s20)) | until2p23(s20) | (~xuntil2p24(s19)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s19, s20)) | until2p23(s20) | (~xuntil2p24(s19)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7358,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s19, s20)) | until2p23(s20) | (~xuntil2p24(s19)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7359,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s19, s20)) | until2p23(s20) | (~xuntil2p24(s19))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 1.19/1.22 tff(7360,plain,
% 1.19/1.22 (until2p23(s20) | (~xuntil2p24(s19))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7359, 2004, 6872])).
% 1.19/1.22 tff(7361,plain,
% 1.19/1.22 (~xuntil2p24(s19)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7360, 7356])).
% 1.19/1.22 tff(7362,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s19) | xuntil2p24(s19) | (~until2p23(s19)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s19) | xuntil2p24(s19) | (~until2p23(s19)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7363,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s19) | xuntil2p24(s19) | (~until2p23(s19)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7364,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s19) | xuntil2p24(s19) | (~until2p23(s19))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 1.19/1.22 tff(7365,plain,
% 1.19/1.22 (xuntil2p24(s19) | (~until2p23(s19))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7364, 6857, 5783])).
% 1.19/1.22 tff(7366,plain,
% 1.19/1.22 (~until2p23(s19)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7365, 7361])).
% 1.19/1.22 tff(7367,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s18, s19)) | until2p23(s19) | (~xuntil2p24(s18)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s18, s19)) | until2p23(s19) | (~xuntil2p24(s18)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7368,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s18, s19)) | until2p23(s19) | (~xuntil2p24(s18)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7369,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s18, s19)) | until2p23(s19) | (~xuntil2p24(s18))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7368, 7367])).
% 1.19/1.22 tff(7370,plain,
% 1.19/1.22 (until2p23(s19) | (~xuntil2p24(s18))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7369, 1926, 6872])).
% 1.19/1.22 tff(7371,plain,
% 1.19/1.22 (~xuntil2p24(s18)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7370, 7366])).
% 1.19/1.22 tff(7372,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s18) | xuntil2p24(s18) | (~until2p23(s18)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s18) | xuntil2p24(s18) | (~until2p23(s18)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7373,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s18) | xuntil2p24(s18) | (~until2p23(s18)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7374,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s18) | xuntil2p24(s18) | (~until2p23(s18))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 1.19/1.22 tff(7375,plain,
% 1.19/1.22 (xuntil2p24(s18) | (~until2p23(s18))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7374, 6857, 6203])).
% 1.19/1.22 tff(7376,plain,
% 1.19/1.22 (~until2p23(s18)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7375, 7371])).
% 1.19/1.22 tff(7377,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s17, s18)) | until2p23(s18) | (~xuntil2p24(s17)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s17, s18)) | until2p23(s18) | (~xuntil2p24(s17)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7378,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s17, s18)) | until2p23(s18) | (~xuntil2p24(s17)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7379,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s17, s18)) | until2p23(s18) | (~xuntil2p24(s17))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 1.19/1.22 tff(7380,plain,
% 1.19/1.22 (until2p23(s18) | (~xuntil2p24(s17))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7379, 1827, 6872])).
% 1.19/1.22 tff(7381,plain,
% 1.19/1.22 (~xuntil2p24(s17)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7380, 7376])).
% 1.19/1.22 tff(7382,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s17) | xuntil2p24(s17) | (~until2p23(s17)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s17) | xuntil2p24(s17) | (~until2p23(s17)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7383,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s17) | xuntil2p24(s17) | (~until2p23(s17)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7384,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s17) | xuntil2p24(s17) | (~until2p23(s17))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7383, 7382])).
% 1.19/1.22 tff(7385,plain,
% 1.19/1.22 (xuntil2p24(s17) | (~until2p23(s17))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7384, 6857, 5799])).
% 1.19/1.22 tff(7386,plain,
% 1.19/1.22 (~until2p23(s17)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7385, 7381])).
% 1.19/1.22 tff(7387,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s16, s17)) | until2p23(s17) | (~xuntil2p24(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s16, s17)) | until2p23(s17) | (~xuntil2p24(s16)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7388,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s16, s17)) | until2p23(s17) | (~xuntil2p24(s16)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7389,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s16, s17)) | until2p23(s17) | (~xuntil2p24(s16))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7388, 7387])).
% 1.19/1.22 tff(7390,plain,
% 1.19/1.22 (until2p23(s17) | (~xuntil2p24(s16))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7389, 1760, 6872])).
% 1.19/1.22 tff(7391,plain,
% 1.19/1.22 (~xuntil2p24(s16)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7390, 7386])).
% 1.19/1.22 tff(7392,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s16) | xuntil2p24(s16) | (~until2p23(s16)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s16) | xuntil2p24(s16) | (~until2p23(s16)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7393,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s16) | xuntil2p24(s16) | (~until2p23(s16)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7394,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s16) | xuntil2p24(s16) | (~until2p23(s16))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7393, 7392])).
% 1.19/1.22 tff(7395,plain,
% 1.19/1.22 (xuntil2p24(s16) | (~until2p23(s16))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7394, 6857, 5808])).
% 1.19/1.22 tff(7396,plain,
% 1.19/1.22 (~until2p23(s16)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7395, 7391])).
% 1.19/1.22 tff(7397,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s15, s16)) | until2p23(s16) | (~xuntil2p24(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s15, s16)) | until2p23(s16) | (~xuntil2p24(s15)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7398,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s15, s16)) | until2p23(s16) | (~xuntil2p24(s15)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7399,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s15, s16)) | until2p23(s16) | (~xuntil2p24(s15))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 1.19/1.22 tff(7400,plain,
% 1.19/1.22 (until2p23(s16) | (~xuntil2p24(s15))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7399, 1671, 6872])).
% 1.19/1.22 tff(7401,plain,
% 1.19/1.22 (~xuntil2p24(s15)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7400, 7396])).
% 1.19/1.22 tff(7402,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s15) | xuntil2p24(s15) | (~until2p23(s15)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s15) | xuntil2p24(s15) | (~until2p23(s15)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7403,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s15) | xuntil2p24(s15) | (~until2p23(s15)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7404,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s15) | xuntil2p24(s15) | (~until2p23(s15))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 1.19/1.22 tff(7405,plain,
% 1.19/1.22 (xuntil2p24(s15) | (~until2p23(s15))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7404, 6857, 5816])).
% 1.19/1.22 tff(7406,plain,
% 1.19/1.22 (~until2p23(s15)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7405, 7401])).
% 1.19/1.22 tff(7407,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s14, s15)) | until2p23(s15) | (~xuntil2p24(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s14, s15)) | until2p23(s15) | (~xuntil2p24(s14)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7408,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s14, s15)) | until2p23(s15) | (~xuntil2p24(s14)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7409,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s14, s15)) | until2p23(s15) | (~xuntil2p24(s14))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7408, 7407])).
% 1.19/1.22 tff(7410,plain,
% 1.19/1.22 (until2p23(s15) | (~xuntil2p24(s14))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7409, 1596, 6872])).
% 1.19/1.22 tff(7411,plain,
% 1.19/1.22 (~xuntil2p24(s14)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7410, 7406])).
% 1.19/1.22 tff(7412,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s14) | xuntil2p24(s14) | (~until2p23(s14)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s14) | xuntil2p24(s14) | (~until2p23(s14)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7413,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s14) | xuntil2p24(s14) | (~until2p23(s14)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7414,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s14) | xuntil2p24(s14) | (~until2p23(s14))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 1.19/1.22 tff(7415,plain,
% 1.19/1.22 (xuntil2p24(s14) | (~until2p23(s14))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7414, 6857, 6149])).
% 1.19/1.22 tff(7416,plain,
% 1.19/1.22 (~until2p23(s14)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7415, 7411])).
% 1.19/1.22 tff(7417,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s13, s14)) | until2p23(s14) | (~xuntil2p24(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s13, s14)) | until2p23(s14) | (~xuntil2p24(s13)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7418,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s13, s14)) | until2p23(s14) | (~xuntil2p24(s13)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7419,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s13, s14)) | until2p23(s14) | (~xuntil2p24(s13))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 1.19/1.22 tff(7420,plain,
% 1.19/1.22 (until2p23(s14) | (~xuntil2p24(s13))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7419, 1532, 6872])).
% 1.19/1.22 tff(7421,plain,
% 1.19/1.22 (~xuntil2p24(s13)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7420, 7416])).
% 1.19/1.22 tff(7422,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s13) | xuntil2p24(s13) | (~until2p23(s13)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s13) | xuntil2p24(s13) | (~until2p23(s13)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7423,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s13) | xuntil2p24(s13) | (~until2p23(s13)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7424,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s13) | xuntil2p24(s13) | (~until2p23(s13))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7423, 7422])).
% 1.19/1.22 tff(7425,plain,
% 1.19/1.22 (xuntil2p24(s13) | (~until2p23(s13))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7424, 6857, 5832])).
% 1.19/1.22 tff(7426,plain,
% 1.19/1.22 (~until2p23(s13)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7425, 7421])).
% 1.19/1.22 tff(7427,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s12, s13)) | until2p23(s13) | (~xuntil2p24(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s12, s13)) | until2p23(s13) | (~xuntil2p24(s12)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7428,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s12, s13)) | until2p23(s13) | (~xuntil2p24(s12)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7429,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s12, s13)) | until2p23(s13) | (~xuntil2p24(s12))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7428, 7427])).
% 1.19/1.22 tff(7430,plain,
% 1.19/1.22 (until2p23(s13) | (~xuntil2p24(s12))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7429, 1437, 6872])).
% 1.19/1.22 tff(7431,plain,
% 1.19/1.22 (~xuntil2p24(s12)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7430, 7426])).
% 1.19/1.22 tff(7432,plain,
% 1.19/1.22 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s12) | xuntil2p24(s12) | (~until2p23(s12)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s12) | xuntil2p24(s12) | (~until2p23(s12)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7433,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s12) | xuntil2p24(s12) | (~until2p23(s12)))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7434,plain,
% 1.19/1.22 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s12) | xuntil2p24(s12) | (~until2p23(s12))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 1.19/1.22 tff(7435,plain,
% 1.19/1.22 (xuntil2p24(s12) | (~until2p23(s12))),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7434, 6857, 5841])).
% 1.19/1.22 tff(7436,plain,
% 1.19/1.22 (~until2p23(s12)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7435, 7431])).
% 1.19/1.22 tff(7437,assumption,(~until2p23(s12)), introduced(assumption)).
% 1.19/1.22 tff(7438,assumption,(trans(s64, s12)), introduced(assumption)).
% 1.19/1.22 tff(7439,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s12) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s12) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s12)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7440,plain,
% 1.19/1.22 (((~trans(s64, s12)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s12)) <=> (until2p23(s12) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s12)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7441,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s12)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s12) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s12))))),
% 1.19/1.22 inference(monotonicity,[status(thm)],[7440])).
% 1.19/1.22 tff(7442,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s12)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s12) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s12)))),
% 1.19/1.22 inference(transitivity,[status(thm)],[7441, 7439])).
% 1.19/1.22 tff(7443,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s12)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s12))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7444,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s12) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s12))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 1.19/1.22 tff(7445,plain,
% 1.19/1.22 ($false),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7444, 6843, 7438, 7212, 7437, 7213])).
% 1.19/1.22 tff(7446,plain,((~trans(s64, s12)) | until2p23(s12) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.22 tff(7447,plain,
% 1.19/1.22 (~trans(s64, s12)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7446, 7436, 6833])).
% 1.19/1.22 tff(7448,assumption,(~until2p23(s22)), introduced(assumption)).
% 1.19/1.22 tff(7449,assumption,(trans(s64, s22)), introduced(assumption)).
% 1.19/1.22 tff(7450,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s22) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s22) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s22)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7451,plain,
% 1.19/1.22 (((~trans(s64, s22)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s22)) <=> (until2p23(s22) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s22)))),
% 1.19/1.22 inference(rewrite,[status(thm)],[])).
% 1.19/1.22 tff(7452,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s22)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s22) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s22))))),
% 1.19/1.22 inference(monotonicity,[status(thm)],[7451])).
% 1.19/1.22 tff(7453,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s22)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s22) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s22)))),
% 1.19/1.22 inference(transitivity,[status(thm)],[7452, 7450])).
% 1.19/1.22 tff(7454,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s22)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s22))),
% 1.19/1.22 inference(quant_inst,[status(thm)],[])).
% 1.19/1.22 tff(7455,plain,
% 1.19/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s22) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s22))),
% 1.19/1.22 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 1.19/1.22 tff(7456,plain,
% 1.19/1.22 ($false),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7455, 6843, 7449, 7212, 7448, 7213])).
% 1.19/1.22 tff(7457,plain,((~trans(s64, s22)) | until2p23(s22) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.22 tff(7458,plain,
% 1.19/1.22 (~trans(s64, s22)),
% 1.19/1.22 inference(unit_resolution,[status(thm)],[7457, 7336, 6833])).
% 1.19/1.22 tff(7459,assumption,(~until2p23(s24)), introduced(assumption)).
% 1.19/1.22 tff(7460,assumption,(trans(s64, s24)), introduced(assumption)).
% 1.19/1.22 tff(7461,plain,
% 1.19/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s24) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s24) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s24)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7462,plain,
% 1.19/1.23 (((~trans(s64, s24)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s24)) <=> (until2p23(s24) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s24)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7463,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s24)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s24) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s24))))),
% 1.19/1.23 inference(monotonicity,[status(thm)],[7462])).
% 1.19/1.23 tff(7464,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s24)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s24) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s24)))),
% 1.19/1.23 inference(transitivity,[status(thm)],[7463, 7461])).
% 1.19/1.23 tff(7465,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s24)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s24))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7466,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s24) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s24))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 1.19/1.23 tff(7467,plain,
% 1.19/1.23 ($false),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7466, 6843, 7460, 7212, 7459, 7213])).
% 1.19/1.23 tff(7468,plain,((~trans(s64, s24)) | until2p23(s24) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.23 tff(7469,plain,
% 1.19/1.23 (~trans(s64, s24)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7468, 7316, 6833])).
% 1.19/1.23 tff(7470,assumption,(~until2p23(s47)), introduced(assumption)).
% 1.19/1.23 tff(7471,assumption,(trans(s64, s47)), introduced(assumption)).
% 1.19/1.23 tff(7472,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s47) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s47) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s47)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7473,plain,
% 1.19/1.23 (((~trans(s64, s47)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s47)) <=> (until2p23(s47) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s47)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7474,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s47)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s47) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s47))))),
% 1.19/1.23 inference(monotonicity,[status(thm)],[7473])).
% 1.19/1.23 tff(7475,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s47)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s47) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s47)))),
% 1.19/1.23 inference(transitivity,[status(thm)],[7474, 7472])).
% 1.19/1.23 tff(7476,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s47)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s47))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7477,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s47) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s47))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7476, 7475])).
% 1.19/1.23 tff(7478,plain,
% 1.19/1.23 ($false),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7477, 6843, 7471, 7212, 7470, 7213])).
% 1.19/1.23 tff(7479,plain,((~trans(s64, s47)) | until2p23(s47) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.23 tff(7480,plain,
% 1.19/1.23 (~trans(s64, s47)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7479, 7042, 6833])).
% 1.19/1.23 tff(7481,assumption,(~until2p23(s57)), introduced(assumption)).
% 1.19/1.23 tff(7482,assumption,(trans(s64, s57)), introduced(assumption)).
% 1.19/1.23 tff(7483,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s57) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s57) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s57)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7484,plain,
% 1.19/1.23 (((~trans(s64, s57)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s57)) <=> (until2p23(s57) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s57)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7485,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s57)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s57) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s57))))),
% 1.19/1.23 inference(monotonicity,[status(thm)],[7484])).
% 1.19/1.23 tff(7486,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s57)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s57) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s57)))),
% 1.19/1.23 inference(transitivity,[status(thm)],[7485, 7483])).
% 1.19/1.23 tff(7487,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s57)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s57))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7488,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s57) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s57))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7487, 7486])).
% 1.19/1.23 tff(7489,plain,
% 1.19/1.23 ($false),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7488, 6843, 7482, 7212, 7481, 7213])).
% 1.19/1.23 tff(7490,plain,((~trans(s64, s57)) | until2p23(s57) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.23 tff(7491,plain,
% 1.19/1.23 (~trans(s64, s57)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7490, 6942, 6833])).
% 1.19/1.23 tff(7492,assumption,(~until2p23(s21)), introduced(assumption)).
% 1.19/1.23 tff(7493,assumption,(trans(s64, s21)), introduced(assumption)).
% 1.19/1.23 tff(7494,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s21) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s21) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s21)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7495,plain,
% 1.19/1.23 (((~trans(s64, s21)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s21)) <=> (until2p23(s21) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s21)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7496,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s21)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s21) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s21))))),
% 1.19/1.23 inference(monotonicity,[status(thm)],[7495])).
% 1.19/1.23 tff(7497,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s21)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s21) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s21)))),
% 1.19/1.23 inference(transitivity,[status(thm)],[7496, 7494])).
% 1.19/1.23 tff(7498,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s21)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s21))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7499,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s21) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s21))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7498, 7497])).
% 1.19/1.23 tff(7500,plain,
% 1.19/1.23 ($false),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7499, 6843, 7493, 7212, 7492, 7213])).
% 1.19/1.23 tff(7501,plain,((~trans(s64, s21)) | until2p23(s21) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.23 tff(7502,plain,
% 1.19/1.23 (~trans(s64, s21)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7501, 7346, 6833])).
% 1.19/1.23 tff(7503,assumption,(~until2p23(s29)), introduced(assumption)).
% 1.19/1.23 tff(7504,assumption,(trans(s64, s29)), introduced(assumption)).
% 1.19/1.23 tff(7505,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s29) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s29) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s29)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7506,plain,
% 1.19/1.23 (((~trans(s64, s29)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s29)) <=> (until2p23(s29) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s29)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7507,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s29)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s29) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s29))))),
% 1.19/1.23 inference(monotonicity,[status(thm)],[7506])).
% 1.19/1.23 tff(7508,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s29)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s29) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s29)))),
% 1.19/1.23 inference(transitivity,[status(thm)],[7507, 7505])).
% 1.19/1.23 tff(7509,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s29)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s29))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7510,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s29) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s29))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 1.19/1.23 tff(7511,plain,
% 1.19/1.23 ($false),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7510, 6843, 7504, 7212, 7503, 7213])).
% 1.19/1.23 tff(7512,plain,((~trans(s64, s29)) | until2p23(s29) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.23 tff(7513,plain,
% 1.19/1.23 (~trans(s64, s29)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7512, 7266, 6833])).
% 1.19/1.23 tff(7514,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s11, s12)) | until2p23(s12) | (~xuntil2p24(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s11, s12)) | until2p23(s12) | (~xuntil2p24(s11)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7515,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s11, s12)) | until2p23(s12) | (~xuntil2p24(s11)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7516,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s11, s12)) | until2p23(s12) | (~xuntil2p24(s11))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 1.19/1.23 tff(7517,plain,
% 1.19/1.23 (until2p23(s12) | (~xuntil2p24(s11))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7516, 1376, 6872])).
% 1.19/1.23 tff(7518,plain,
% 1.19/1.23 (~xuntil2p24(s11)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7517, 7436])).
% 1.19/1.23 tff(7519,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s11) | xuntil2p24(s11) | (~until2p23(s11)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s11) | xuntil2p24(s11) | (~until2p23(s11)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7520,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s11) | xuntil2p24(s11) | (~until2p23(s11)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7521,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s11) | xuntil2p24(s11) | (~until2p23(s11))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 1.19/1.23 tff(7522,plain,
% 1.19/1.23 (xuntil2p24(s11) | (~until2p23(s11))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7521, 6857, 5849])).
% 1.19/1.23 tff(7523,plain,
% 1.19/1.23 (~until2p23(s11)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7522, 7518])).
% 1.19/1.23 tff(7524,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s10, s11)) | until2p23(s11) | (~xuntil2p24(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s10, s11)) | until2p23(s11) | (~xuntil2p24(s10)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7525,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s10, s11)) | until2p23(s11) | (~xuntil2p24(s10)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7526,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s10, s11)) | until2p23(s11) | (~xuntil2p24(s10))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7525, 7524])).
% 1.19/1.23 tff(7527,plain,
% 1.19/1.23 (until2p23(s11) | (~xuntil2p24(s10))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7526, 1298, 6872])).
% 1.19/1.23 tff(7528,plain,
% 1.19/1.23 (~xuntil2p24(s10)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7527, 7523])).
% 1.19/1.23 tff(7529,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s10) | xuntil2p24(s10) | (~until2p23(s10)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s10) | xuntil2p24(s10) | (~until2p23(s10)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7530,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s10) | xuntil2p24(s10) | (~until2p23(s10)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7531,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s10) | xuntil2p24(s10) | (~until2p23(s10))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7530, 7529])).
% 1.19/1.23 tff(7532,plain,
% 1.19/1.23 (xuntil2p24(s10) | (~until2p23(s10))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7531, 6857, 6095])).
% 1.19/1.23 tff(7533,plain,
% 1.19/1.23 (~until2p23(s10)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7532, 7528])).
% 1.19/1.23 tff(7534,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s9, s10)) | until2p23(s10) | (~xuntil2p24(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s9, s10)) | until2p23(s10) | (~xuntil2p24(s9)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7535,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s9, s10)) | until2p23(s10) | (~xuntil2p24(s9)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7536,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s9, s10)) | until2p23(s10) | (~xuntil2p24(s9))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 1.19/1.23 tff(7537,plain,
% 1.19/1.23 (until2p23(s10) | (~xuntil2p24(s9))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7536, 1199, 6872])).
% 1.19/1.23 tff(7538,plain,
% 1.19/1.23 (~xuntil2p24(s9)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7537, 7533])).
% 1.19/1.23 tff(7539,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s9) | xuntil2p24(s9) | (~until2p23(s9)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s9) | xuntil2p24(s9) | (~until2p23(s9)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7540,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s9) | xuntil2p24(s9) | (~until2p23(s9)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7541,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s9) | xuntil2p24(s9) | (~until2p23(s9))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7540, 7539])).
% 1.19/1.23 tff(7542,plain,
% 1.19/1.23 (xuntil2p24(s9) | (~until2p23(s9))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7541, 6857, 5865])).
% 1.19/1.23 tff(7543,plain,
% 1.19/1.23 (~until2p23(s9)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7542, 7538])).
% 1.19/1.23 tff(7544,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s8, s9)) | until2p23(s9) | (~xuntil2p24(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s8, s9)) | until2p23(s9) | (~xuntil2p24(s8)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7545,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s8, s9)) | until2p23(s9) | (~xuntil2p24(s8)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7546,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s8, s9)) | until2p23(s9) | (~xuntil2p24(s8))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 1.19/1.23 tff(7547,plain,
% 1.19/1.23 (until2p23(s9) | (~xuntil2p24(s8))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7546, 1132, 6872])).
% 1.19/1.23 tff(7548,plain,
% 1.19/1.23 (~xuntil2p24(s8)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7547, 7543])).
% 1.19/1.23 tff(7549,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s8) | xuntil2p24(s8) | (~until2p23(s8)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s8) | xuntil2p24(s8) | (~until2p23(s8)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7550,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s8) | xuntil2p24(s8) | (~until2p23(s8)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7551,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s8) | xuntil2p24(s8) | (~until2p23(s8))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7550, 7549])).
% 1.19/1.23 tff(7552,plain,
% 1.19/1.23 (xuntil2p24(s8) | (~until2p23(s8))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7551, 6857, 5874])).
% 1.19/1.23 tff(7553,plain,
% 1.19/1.23 (~until2p23(s8)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7552, 7548])).
% 1.19/1.23 tff(7554,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s7, s8)) | until2p23(s8) | (~xuntil2p24(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s7, s8)) | until2p23(s8) | (~xuntil2p24(s7)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7555,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s7, s8)) | until2p23(s8) | (~xuntil2p24(s7)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7556,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s7, s8)) | until2p23(s8) | (~xuntil2p24(s7))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7555, 7554])).
% 1.19/1.23 tff(7557,plain,
% 1.19/1.23 (until2p23(s8) | (~xuntil2p24(s7))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7556, 1043, 6872])).
% 1.19/1.23 tff(7558,plain,
% 1.19/1.23 (~xuntil2p24(s7)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7557, 7553])).
% 1.19/1.23 tff(7559,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s7) | xuntil2p24(s7) | (~until2p23(s7)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s7) | xuntil2p24(s7) | (~until2p23(s7)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7560,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s7) | xuntil2p24(s7) | (~until2p23(s7)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7561,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s7) | xuntil2p24(s7) | (~until2p23(s7))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7560, 7559])).
% 1.19/1.23 tff(7562,plain,
% 1.19/1.23 (xuntil2p24(s7) | (~until2p23(s7))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7561, 6857, 5882])).
% 1.19/1.23 tff(7563,plain,
% 1.19/1.23 (~until2p23(s7)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7562, 7558])).
% 1.19/1.23 tff(7564,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s6, s7)) | until2p23(s7) | (~xuntil2p24(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s6, s7)) | until2p23(s7) | (~xuntil2p24(s6)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7565,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s6, s7)) | until2p23(s7) | (~xuntil2p24(s6)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7566,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s6, s7)) | until2p23(s7) | (~xuntil2p24(s6))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 1.19/1.23 tff(7567,plain,
% 1.19/1.23 (until2p23(s7) | (~xuntil2p24(s6))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7566, 958, 6872])).
% 1.19/1.23 tff(7568,plain,
% 1.19/1.23 (~xuntil2p24(s6)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7567, 7563])).
% 1.19/1.23 tff(7569,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s6) | xuntil2p24(s6) | (~until2p23(s6)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s6) | xuntil2p24(s6) | (~until2p23(s6)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7570,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s6) | xuntil2p24(s6) | (~until2p23(s6)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7571,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s6) | xuntil2p24(s6) | (~until2p23(s6))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7570, 7569])).
% 1.19/1.23 tff(7572,plain,
% 1.19/1.23 (xuntil2p24(s6) | (~until2p23(s6))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7571, 6857, 6041])).
% 1.19/1.23 tff(7573,plain,
% 1.19/1.23 (~until2p23(s6)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7572, 7568])).
% 1.19/1.23 tff(7574,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s5, s6)) | until2p23(s6) | (~xuntil2p24(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s5, s6)) | until2p23(s6) | (~xuntil2p24(s5)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7575,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s5, s6)) | until2p23(s6) | (~xuntil2p24(s5)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7576,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s5, s6)) | until2p23(s6) | (~xuntil2p24(s5))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 1.19/1.23 tff(7577,plain,
% 1.19/1.23 (until2p23(s6) | (~xuntil2p24(s5))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7576, 874, 6872])).
% 1.19/1.23 tff(7578,plain,
% 1.19/1.23 (~xuntil2p24(s5)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7577, 7573])).
% 1.19/1.23 tff(7579,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s5) | xuntil2p24(s5) | (~until2p23(s5)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s5) | xuntil2p24(s5) | (~until2p23(s5)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7580,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s5) | xuntil2p24(s5) | (~until2p23(s5)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7581,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s5) | xuntil2p24(s5) | (~until2p23(s5))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 1.19/1.23 tff(7582,plain,
% 1.19/1.23 (xuntil2p24(s5) | (~until2p23(s5))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7581, 6857, 5898])).
% 1.19/1.23 tff(7583,plain,
% 1.19/1.23 (~until2p23(s5)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7582, 7578])).
% 1.19/1.23 tff(7584,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s4, s5)) | until2p23(s5) | (~xuntil2p24(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s4, s5)) | until2p23(s5) | (~xuntil2p24(s4)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7585,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s4, s5)) | until2p23(s5) | (~xuntil2p24(s4)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7586,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s4, s5)) | until2p23(s5) | (~xuntil2p24(s4))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 1.19/1.23 tff(7587,plain,
% 1.19/1.23 (until2p23(s5) | (~xuntil2p24(s4))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7586, 708, 6872])).
% 1.19/1.23 tff(7588,plain,
% 1.19/1.23 (~xuntil2p24(s4)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7587, 7583])).
% 1.19/1.23 tff(7589,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s4) | xuntil2p24(s4) | (~until2p23(s4)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s4) | xuntil2p24(s4) | (~until2p23(s4)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7590,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s4) | xuntil2p24(s4) | (~until2p23(s4)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7591,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s4) | xuntil2p24(s4) | (~until2p23(s4))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7590, 7589])).
% 1.19/1.23 tff(7592,plain,
% 1.19/1.23 (xuntil2p24(s4) | (~until2p23(s4))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7591, 6857, 5907])).
% 1.19/1.23 tff(7593,plain,
% 1.19/1.23 (~until2p23(s4)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7592, 7588])).
% 1.19/1.23 tff(7594,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s3, s4)) | until2p23(s4) | (~xuntil2p24(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s3, s4)) | until2p23(s4) | (~xuntil2p24(s3)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7595,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s3, s4)) | until2p23(s4) | (~xuntil2p24(s3)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7596,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s3, s4)) | until2p23(s4) | (~xuntil2p24(s3))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7595, 7594])).
% 1.19/1.23 tff(7597,plain,
% 1.19/1.23 (until2p23(s4) | (~xuntil2p24(s3))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7596, 599, 6872])).
% 1.19/1.23 tff(7598,plain,
% 1.19/1.23 (~xuntil2p24(s3)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7597, 7593])).
% 1.19/1.23 tff(7599,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s3) | xuntil2p24(s3) | (~until2p23(s3)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s3) | xuntil2p24(s3) | (~until2p23(s3)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7600,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s3) | xuntil2p24(s3) | (~until2p23(s3)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7601,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s3) | xuntil2p24(s3) | (~until2p23(s3))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 1.19/1.23 tff(7602,plain,
% 1.19/1.23 (xuntil2p24(s3) | (~until2p23(s3))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7601, 6857, 5915])).
% 1.19/1.23 tff(7603,plain,
% 1.19/1.23 (~until2p23(s3)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7602, 7598])).
% 1.19/1.23 tff(7604,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s2, s3)) | until2p23(s3) | (~xuntil2p24(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s2, s3)) | until2p23(s3) | (~xuntil2p24(s2)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7605,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s2, s3)) | until2p23(s3) | (~xuntil2p24(s2)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7606,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s2, s3)) | until2p23(s3) | (~xuntil2p24(s2))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7605, 7604])).
% 1.19/1.23 tff(7607,plain,
% 1.19/1.23 (until2p23(s3) | (~xuntil2p24(s2))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7606, 480, 6872])).
% 1.19/1.23 tff(7608,plain,
% 1.19/1.23 (~xuntil2p24(s2)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7607, 7603])).
% 1.19/1.23 tff(7609,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s2) | xuntil2p24(s2) | (~until2p23(s2)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s2) | xuntil2p24(s2) | (~until2p23(s2)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7610,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s2) | xuntil2p24(s2) | (~until2p23(s2)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7611,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s2) | xuntil2p24(s2) | (~until2p23(s2))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7610, 7609])).
% 1.19/1.23 tff(7612,plain,
% 1.19/1.23 (xuntil2p24(s2) | (~until2p23(s2))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7611, 6857, 5926])).
% 1.19/1.23 tff(7613,plain,
% 1.19/1.23 (~until2p23(s2)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7612, 7608])).
% 1.19/1.23 tff(7614,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s1, s2)) | until2p23(s2) | (~xuntil2p24(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s1, s2)) | until2p23(s2) | (~xuntil2p24(s1)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7615,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s1, s2)) | until2p23(s2) | (~xuntil2p24(s1)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7616,plain,
% 1.19/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s1, s2)) | until2p23(s2) | (~xuntil2p24(s1))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 1.19/1.23 tff(7617,plain,
% 1.19/1.23 (until2p23(s2) | (~xuntil2p24(s1))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7616, 278, 6872])).
% 1.19/1.23 tff(7618,plain,
% 1.19/1.23 (~xuntil2p24(s1)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7617, 7613])).
% 1.19/1.23 tff(7619,plain,
% 1.19/1.23 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s1) | xuntil2p24(s1) | (~until2p23(s1)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s1) | xuntil2p24(s1) | (~until2p23(s1)))),
% 1.19/1.23 inference(rewrite,[status(thm)],[])).
% 1.19/1.23 tff(7620,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s1) | xuntil2p24(s1) | (~until2p23(s1)))),
% 1.19/1.23 inference(quant_inst,[status(thm)],[])).
% 1.19/1.23 tff(7621,plain,
% 1.19/1.23 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s1) | xuntil2p24(s1) | (~until2p23(s1))),
% 1.19/1.23 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 1.19/1.23 tff(7622,plain,
% 1.19/1.23 (xuntil2p24(s1) | (~until2p23(s1))),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7621, 6857, 5935])).
% 1.19/1.23 tff(7623,plain,
% 1.19/1.23 (~until2p23(s1)),
% 1.19/1.23 inference(unit_resolution,[status(thm)],[7622, 7618])).
% 1.19/1.23 tff(7624,plain,
% 1.19/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s0, s1)) | until2p23(s1) | (~xuntil2p24(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s0, s1)) | until2p23(s1) | (~xuntil2p24(s0)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7625,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s0, s1)) | until2p23(s1) | (~xuntil2p24(s0)))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7626,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s0, s1)) | until2p23(s1) | (~xuntil2p24(s0))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 1.19/1.24 tff(7627,plain,
% 1.19/1.24 (until2p23(s1) | (~xuntil2p24(s0))),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7626, 35, 6872])).
% 1.19/1.24 tff(7628,plain,
% 1.19/1.24 (~xuntil2p24(s0)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7627, 7623])).
% 1.19/1.24 tff(7629,plain,
% 1.19/1.24 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s0) | xuntil2p24(s0) | (~until2p23(s0)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s0) | xuntil2p24(s0) | (~until2p23(s0)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7630,plain,
% 1.19/1.24 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s0) | xuntil2p24(s0) | (~until2p23(s0)))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7631,plain,
% 1.19/1.24 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s0) | xuntil2p24(s0) | (~until2p23(s0))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7630, 7629])).
% 1.19/1.24 tff(7632,plain,
% 1.19/1.24 (xuntil2p24(s0) | (~until2p23(s0))),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7631, 6857, 5939])).
% 1.19/1.24 tff(7633,plain,
% 1.19/1.24 (~until2p23(s0)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7632, 7628])).
% 1.19/1.24 tff(7634,assumption,(~until2p23(s0)), introduced(assumption)).
% 1.19/1.24 tff(7635,assumption,(trans(s64, s0)), introduced(assumption)).
% 1.19/1.24 tff(7636,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~last(s64)) | (~xuntil22(s64)) | until2p23(s0) | (~trans(s64, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s0) | (~trans(s64, s0)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7637,plain,
% 1.19/1.24 (((~trans(s64, s0)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s0)) <=> ((~last(s64)) | (~xuntil22(s64)) | until2p23(s0) | (~trans(s64, s0)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7638,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s0)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~last(s64)) | (~xuntil22(s64)) | until2p23(s0) | (~trans(s64, s0))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7637])).
% 1.19/1.24 tff(7639,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s0)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s0) | (~trans(s64, s0)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7638, 7636])).
% 1.19/1.24 tff(7640,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s0)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s0))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7641,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s0) | (~trans(s64, s0))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 1.19/1.24 tff(7642,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7641, 6843, 7635, 7212, 7213, 7634])).
% 1.19/1.24 tff(7643,plain,((~trans(s64, s0)) | (~xuntil22(s64)) | until2p23(s0)), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7644,plain,
% 1.19/1.24 (~trans(s64, s0)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7643, 6833, 7633])).
% 1.19/1.24 tff(7645,assumption,(~until2p23(s25)), introduced(assumption)).
% 1.19/1.24 tff(7646,assumption,(trans(s64, s25)), introduced(assumption)).
% 1.19/1.24 tff(7647,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s25) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s25) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s25)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7648,plain,
% 1.19/1.24 (((~trans(s64, s25)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s25)) <=> (until2p23(s25) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s25)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7649,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s25)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s25) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s25))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7648])).
% 1.19/1.24 tff(7650,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s25)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s25) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s25)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7649, 7647])).
% 1.19/1.24 tff(7651,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s25)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s25))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7652,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s25) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s25))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 1.19/1.24 tff(7653,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7652, 6843, 7646, 7212, 7645, 7213])).
% 1.19/1.24 tff(7654,plain,((~trans(s64, s25)) | until2p23(s25) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7655,plain,
% 1.19/1.24 (~trans(s64, s25)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7654, 7306, 6833])).
% 1.19/1.24 tff(7656,assumption,(~until2p23(s10)), introduced(assumption)).
% 1.19/1.24 tff(7657,assumption,(trans(s64, s10)), introduced(assumption)).
% 1.19/1.24 tff(7658,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s10) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s10) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s10)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7659,plain,
% 1.19/1.24 (((~trans(s64, s10)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s10)) <=> (until2p23(s10) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s10)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7660,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s10)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s10) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s10))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7659])).
% 1.19/1.24 tff(7661,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s10)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s10) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s10)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7660, 7658])).
% 1.19/1.24 tff(7662,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s10)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s10))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7663,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s10) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s10))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 1.19/1.24 tff(7664,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7663, 6843, 7657, 7212, 7656, 7213])).
% 1.19/1.24 tff(7665,plain,((~trans(s64, s10)) | until2p23(s10) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7666,plain,
% 1.19/1.24 (~trans(s64, s10)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7665, 7533, 6833])).
% 1.19/1.24 tff(7667,assumption,(~until2p23(s8)), introduced(assumption)).
% 1.19/1.24 tff(7668,assumption,(trans(s64, s8)), introduced(assumption)).
% 1.19/1.24 tff(7669,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s8) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s8) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s8)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7670,plain,
% 1.19/1.24 (((~trans(s64, s8)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s8)) <=> (until2p23(s8) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s8)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7671,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s8)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s8) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s8))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7670])).
% 1.19/1.24 tff(7672,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s8)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s8) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s8)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7671, 7669])).
% 1.19/1.24 tff(7673,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s8)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s8))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7674,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s8) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s8))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 1.19/1.24 tff(7675,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7674, 6843, 7668, 7212, 7667, 7213])).
% 1.19/1.24 tff(7676,plain,((~trans(s64, s8)) | until2p23(s8) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7677,plain,
% 1.19/1.24 (~trans(s64, s8)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7676, 7553, 6833])).
% 1.19/1.24 tff(7678,assumption,(~until2p23(s11)), introduced(assumption)).
% 1.19/1.24 tff(7679,assumption,(trans(s64, s11)), introduced(assumption)).
% 1.19/1.24 tff(7680,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s11) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s11) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s11)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7681,plain,
% 1.19/1.24 (((~trans(s64, s11)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s11)) <=> (until2p23(s11) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s11)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7682,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s11)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s11) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s11))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7681])).
% 1.19/1.24 tff(7683,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s11)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s11) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s11)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7682, 7680])).
% 1.19/1.24 tff(7684,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s11)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s11))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7685,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s11) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s11))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 1.19/1.24 tff(7686,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7685, 6843, 7679, 7212, 7678, 7213])).
% 1.19/1.24 tff(7687,plain,((~trans(s64, s11)) | until2p23(s11) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7688,plain,
% 1.19/1.24 (~trans(s64, s11)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7687, 7523, 6833])).
% 1.19/1.24 tff(7689,assumption,(~until2p23(s37)), introduced(assumption)).
% 1.19/1.24 tff(7690,assumption,(trans(s64, s37)), introduced(assumption)).
% 1.19/1.24 tff(7691,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s37) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s37) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s37)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7692,plain,
% 1.19/1.24 (((~trans(s64, s37)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s37)) <=> (until2p23(s37) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s37)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7693,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s37)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s37) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s37))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7692])).
% 1.19/1.24 tff(7694,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s37)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s37) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s37)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7693, 7691])).
% 1.19/1.24 tff(7695,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s37)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s37))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7696,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s37) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s37))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7695, 7694])).
% 1.19/1.24 tff(7697,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7696, 6843, 7690, 7212, 7689, 7213])).
% 1.19/1.24 tff(7698,plain,((~trans(s64, s37)) | until2p23(s37) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7699,plain,
% 1.19/1.24 (~trans(s64, s37)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7698, 7142, 6833])).
% 1.19/1.24 tff(7700,assumption,(~until2p23(s35)), introduced(assumption)).
% 1.19/1.24 tff(7701,assumption,(trans(s64, s35)), introduced(assumption)).
% 1.19/1.24 tff(7702,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s35) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s35) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s35)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7703,plain,
% 1.19/1.24 (((~trans(s64, s35)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s35)) <=> (until2p23(s35) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s35)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7704,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s35)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s35) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s35))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7703])).
% 1.19/1.24 tff(7705,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s35)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s35) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s35)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7704, 7702])).
% 1.19/1.24 tff(7706,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s35)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s35))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7707,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s35) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s35))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7706, 7705])).
% 1.19/1.24 tff(7708,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7707, 6843, 7701, 7212, 7700, 7213])).
% 1.19/1.24 tff(7709,plain,((~trans(s64, s35)) | until2p23(s35) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7710,plain,
% 1.19/1.24 (~trans(s64, s35)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7709, 7162, 6833])).
% 1.19/1.24 tff(7711,assumption,(~until2p23(s15)), introduced(assumption)).
% 1.19/1.24 tff(7712,assumption,(trans(s64, s15)), introduced(assumption)).
% 1.19/1.24 tff(7713,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s15) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s15) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s15)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7714,plain,
% 1.19/1.24 (((~trans(s64, s15)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s15)) <=> (until2p23(s15) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s15)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7715,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s15)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s15) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s15))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7714])).
% 1.19/1.24 tff(7716,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s15)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s15) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s15)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7715, 7713])).
% 1.19/1.24 tff(7717,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s15)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s15))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7718,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s15) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s15))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 1.19/1.24 tff(7719,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7718, 6843, 7712, 7212, 7711, 7213])).
% 1.19/1.24 tff(7720,plain,((~trans(s64, s15)) | until2p23(s15) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7721,plain,
% 1.19/1.24 (~trans(s64, s15)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7720, 7406, 6833])).
% 1.19/1.24 tff(7722,assumption,(~until2p23(s2)), introduced(assumption)).
% 1.19/1.24 tff(7723,assumption,(trans(s64, s2)), introduced(assumption)).
% 1.19/1.24 tff(7724,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s2) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s2) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s2)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7725,plain,
% 1.19/1.24 (((~trans(s64, s2)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s2)) <=> (until2p23(s2) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s2)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7726,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s2)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s2) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s2))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7725])).
% 1.19/1.24 tff(7727,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s2)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s2) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s2)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7726, 7724])).
% 1.19/1.24 tff(7728,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s2)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s2))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7729,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s2) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s2))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 1.19/1.24 tff(7730,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7729, 6843, 7723, 7212, 7722, 7213])).
% 1.19/1.24 tff(7731,plain,((~trans(s64, s2)) | until2p23(s2) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7732,plain,
% 1.19/1.24 (~trans(s64, s2)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7731, 7613, 6833])).
% 1.19/1.24 tff(7733,assumption,(~until2p23(s53)), introduced(assumption)).
% 1.19/1.24 tff(7734,assumption,(trans(s64, s53)), introduced(assumption)).
% 1.19/1.24 tff(7735,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s53) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s53) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s53)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7736,plain,
% 1.19/1.24 (((~trans(s64, s53)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s53)) <=> (until2p23(s53) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s53)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7737,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s53)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s53) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s53))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7736])).
% 1.19/1.24 tff(7738,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s53)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s53) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s53)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7737, 7735])).
% 1.19/1.24 tff(7739,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s53)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s53))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7740,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s53) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s53))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 1.19/1.24 tff(7741,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7740, 6843, 7734, 7212, 7733, 7213])).
% 1.19/1.24 tff(7742,plain,((~trans(s64, s53)) | until2p23(s53) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7743,plain,
% 1.19/1.24 (~trans(s64, s53)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7742, 6982, 6833])).
% 1.19/1.24 tff(7744,assumption,(~until2p23(s9)), introduced(assumption)).
% 1.19/1.24 tff(7745,assumption,(trans(s64, s9)), introduced(assumption)).
% 1.19/1.24 tff(7746,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s9) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s9) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s9)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7747,plain,
% 1.19/1.24 (((~trans(s64, s9)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s9)) <=> (until2p23(s9) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s9)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7748,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s9)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s9) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s9))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7747])).
% 1.19/1.24 tff(7749,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s9)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s9) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s9)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7748, 7746])).
% 1.19/1.24 tff(7750,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s9)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s9))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7751,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s9) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s9))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7750, 7749])).
% 1.19/1.24 tff(7752,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7751, 6843, 7745, 7212, 7744, 7213])).
% 1.19/1.24 tff(7753,plain,((~trans(s64, s9)) | until2p23(s9) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7754,plain,
% 1.19/1.24 (~trans(s64, s9)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7753, 7543, 6833])).
% 1.19/1.24 tff(7755,assumption,(~until2p23(s18)), introduced(assumption)).
% 1.19/1.24 tff(7756,assumption,(trans(s64, s18)), introduced(assumption)).
% 1.19/1.24 tff(7757,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s18) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s18) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s18)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7758,plain,
% 1.19/1.24 (((~trans(s64, s18)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s18)) <=> (until2p23(s18) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s18)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7759,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s18)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s18) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s18))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7758])).
% 1.19/1.24 tff(7760,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s18)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s18) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s18)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7759, 7757])).
% 1.19/1.24 tff(7761,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s18)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s18))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7762,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s18) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s18))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 1.19/1.24 tff(7763,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7762, 6843, 7756, 7212, 7755, 7213])).
% 1.19/1.24 tff(7764,plain,((~trans(s64, s18)) | until2p23(s18) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7765,plain,
% 1.19/1.24 (~trans(s64, s18)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7764, 7376, 6833])).
% 1.19/1.24 tff(7766,assumption,(~until2p23(s20)), introduced(assumption)).
% 1.19/1.24 tff(7767,assumption,(trans(s64, s20)), introduced(assumption)).
% 1.19/1.24 tff(7768,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s20) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s20) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s20)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7769,plain,
% 1.19/1.24 (((~trans(s64, s20)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s20)) <=> (until2p23(s20) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s20)))),
% 1.19/1.24 inference(rewrite,[status(thm)],[])).
% 1.19/1.24 tff(7770,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s20)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s20) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s20))))),
% 1.19/1.24 inference(monotonicity,[status(thm)],[7769])).
% 1.19/1.24 tff(7771,plain,
% 1.19/1.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s20)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s20) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s20)))),
% 1.19/1.24 inference(transitivity,[status(thm)],[7770, 7768])).
% 1.19/1.24 tff(7772,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s20)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s20))),
% 1.19/1.24 inference(quant_inst,[status(thm)],[])).
% 1.19/1.24 tff(7773,plain,
% 1.19/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s20) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s20))),
% 1.19/1.24 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 1.19/1.24 tff(7774,plain,
% 1.19/1.24 ($false),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7773, 6843, 7767, 7212, 7766, 7213])).
% 1.19/1.24 tff(7775,plain,((~trans(s64, s20)) | until2p23(s20) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.24 tff(7776,plain,
% 1.19/1.24 (~trans(s64, s20)),
% 1.19/1.24 inference(unit_resolution,[status(thm)],[7775, 7356, 6833])).
% 1.19/1.24 tff(7777,assumption,(~until2p23(s26)), introduced(assumption)).
% 1.19/1.24 tff(7778,assumption,(trans(s64, s26)), introduced(assumption)).
% 1.19/1.25 tff(7779,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s26) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s26) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s26)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7780,plain,
% 1.19/1.25 (((~trans(s64, s26)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s26)) <=> (until2p23(s26) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s26)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7781,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s26)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s26) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s26))))),
% 1.19/1.25 inference(monotonicity,[status(thm)],[7780])).
% 1.19/1.25 tff(7782,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s26)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s26) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s26)))),
% 1.19/1.25 inference(transitivity,[status(thm)],[7781, 7779])).
% 1.19/1.25 tff(7783,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s26)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s26))),
% 1.19/1.25 inference(quant_inst,[status(thm)],[])).
% 1.19/1.25 tff(7784,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s26) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s26))),
% 1.19/1.25 inference(modus_ponens,[status(thm)],[7783, 7782])).
% 1.19/1.25 tff(7785,plain,
% 1.19/1.25 ($false),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7784, 6843, 7778, 7212, 7777, 7213])).
% 1.19/1.25 tff(7786,plain,((~trans(s64, s26)) | until2p23(s26) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.25 tff(7787,plain,
% 1.19/1.25 (~trans(s64, s26)),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7786, 7296, 6833])).
% 1.19/1.25 tff(7788,assumption,(~until2p23(s38)), introduced(assumption)).
% 1.19/1.25 tff(7789,assumption,(trans(s64, s38)), introduced(assumption)).
% 1.19/1.25 tff(7790,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s38) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s38) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s38)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7791,plain,
% 1.19/1.25 (((~trans(s64, s38)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s38)) <=> (until2p23(s38) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s38)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7792,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s38)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s38) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s38))))),
% 1.19/1.25 inference(monotonicity,[status(thm)],[7791])).
% 1.19/1.25 tff(7793,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s38)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s38) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s38)))),
% 1.19/1.25 inference(transitivity,[status(thm)],[7792, 7790])).
% 1.19/1.25 tff(7794,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s38)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s38))),
% 1.19/1.25 inference(quant_inst,[status(thm)],[])).
% 1.19/1.25 tff(7795,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s38) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s38))),
% 1.19/1.25 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 1.19/1.25 tff(7796,plain,
% 1.19/1.25 ($false),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7795, 6843, 7789, 7212, 7788, 7213])).
% 1.19/1.25 tff(7797,plain,((~trans(s64, s38)) | until2p23(s38) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.25 tff(7798,plain,
% 1.19/1.25 (~trans(s64, s38)),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7797, 7132, 6833])).
% 1.19/1.25 tff(7799,assumption,(~until2p23(s50)), introduced(assumption)).
% 1.19/1.25 tff(7800,assumption,(trans(s64, s50)), introduced(assumption)).
% 1.19/1.25 tff(7801,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s50) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s50) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s50)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7802,plain,
% 1.19/1.25 (((~trans(s64, s50)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s50)) <=> (until2p23(s50) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s50)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7803,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s50)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s50) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s50))))),
% 1.19/1.25 inference(monotonicity,[status(thm)],[7802])).
% 1.19/1.25 tff(7804,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s50)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s50) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s50)))),
% 1.19/1.25 inference(transitivity,[status(thm)],[7803, 7801])).
% 1.19/1.25 tff(7805,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s50)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s50))),
% 1.19/1.25 inference(quant_inst,[status(thm)],[])).
% 1.19/1.25 tff(7806,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s50) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s50))),
% 1.19/1.25 inference(modus_ponens,[status(thm)],[7805, 7804])).
% 1.19/1.25 tff(7807,plain,
% 1.19/1.25 ($false),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7806, 6843, 7800, 7212, 7799, 7213])).
% 1.19/1.25 tff(7808,plain,((~trans(s64, s50)) | until2p23(s50) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.25 tff(7809,plain,
% 1.19/1.25 (~trans(s64, s50)),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7808, 7012, 6833])).
% 1.19/1.25 tff(7810,assumption,(~until2p23(s58)), introduced(assumption)).
% 1.19/1.25 tff(7811,assumption,(trans(s64, s58)), introduced(assumption)).
% 1.19/1.25 tff(7812,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s58) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s58) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s58)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7813,plain,
% 1.19/1.25 (((~trans(s64, s58)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s58)) <=> (until2p23(s58) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s58)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7814,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s58)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s58) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s58))))),
% 1.19/1.25 inference(monotonicity,[status(thm)],[7813])).
% 1.19/1.25 tff(7815,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s58)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s58) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s58)))),
% 1.19/1.25 inference(transitivity,[status(thm)],[7814, 7812])).
% 1.19/1.25 tff(7816,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s58)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s58))),
% 1.19/1.25 inference(quant_inst,[status(thm)],[])).
% 1.19/1.25 tff(7817,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s58) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s58))),
% 1.19/1.25 inference(modus_ponens,[status(thm)],[7816, 7815])).
% 1.19/1.25 tff(7818,plain,
% 1.19/1.25 ($false),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7817, 6843, 7811, 7212, 7810, 7213])).
% 1.19/1.25 tff(7819,plain,((~trans(s64, s58)) | until2p23(s58) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.25 tff(7820,plain,
% 1.19/1.25 (~trans(s64, s58)),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7819, 6932, 6833])).
% 1.19/1.25 tff(7821,assumption,(~until2p23(s44)), introduced(assumption)).
% 1.19/1.25 tff(7822,assumption,(trans(s64, s44)), introduced(assumption)).
% 1.19/1.25 tff(7823,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s44) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s44) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s44)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7824,plain,
% 1.19/1.25 (((~trans(s64, s44)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s44)) <=> (until2p23(s44) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s44)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7825,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s44)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s44) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s44))))),
% 1.19/1.25 inference(monotonicity,[status(thm)],[7824])).
% 1.19/1.25 tff(7826,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s44)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s44) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s44)))),
% 1.19/1.25 inference(transitivity,[status(thm)],[7825, 7823])).
% 1.19/1.25 tff(7827,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s44)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s44))),
% 1.19/1.25 inference(quant_inst,[status(thm)],[])).
% 1.19/1.25 tff(7828,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s44) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s44))),
% 1.19/1.25 inference(modus_ponens,[status(thm)],[7827, 7826])).
% 1.19/1.25 tff(7829,plain,
% 1.19/1.25 ($false),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7828, 6843, 7822, 7212, 7821, 7213])).
% 1.19/1.25 tff(7830,plain,((~trans(s64, s44)) | until2p23(s44) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.25 tff(7831,plain,
% 1.19/1.25 (~trans(s64, s44)),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7830, 7072, 6833])).
% 1.19/1.25 tff(7832,assumption,(~until2p23(s64)), introduced(assumption)).
% 1.19/1.25 tff(7833,assumption,(trans(s64, s64)), introduced(assumption)).
% 1.19/1.25 tff(7834,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s64) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s64) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s64)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7835,plain,
% 1.19/1.25 (((~trans(s64, s64)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s64)) <=> (until2p23(s64) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s64)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7836,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s64)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s64) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s64))))),
% 1.19/1.25 inference(monotonicity,[status(thm)],[7835])).
% 1.19/1.25 tff(7837,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s64)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s64) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s64)))),
% 1.19/1.25 inference(transitivity,[status(thm)],[7836, 7834])).
% 1.19/1.25 tff(7838,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s64)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s64))),
% 1.19/1.25 inference(quant_inst,[status(thm)],[])).
% 1.19/1.25 tff(7839,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s64) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s64))),
% 1.19/1.25 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 1.19/1.25 tff(7840,plain,
% 1.19/1.25 ($false),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7839, 6843, 7833, 7212, 7832, 7213])).
% 1.19/1.25 tff(7841,plain,((~trans(s64, s64)) | until2p23(s64) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.25 tff(7842,plain,
% 1.19/1.25 (~trans(s64, s64)),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7841, 6862, 6833])).
% 1.19/1.25 tff(7843,assumption,(~until2p23(s6)), introduced(assumption)).
% 1.19/1.25 tff(7844,assumption,(trans(s64, s6)), introduced(assumption)).
% 1.19/1.25 tff(7845,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s6) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s6) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s6)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7846,plain,
% 1.19/1.25 (((~trans(s64, s6)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s6)) <=> (until2p23(s6) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s6)))),
% 1.19/1.25 inference(rewrite,[status(thm)],[])).
% 1.19/1.25 tff(7847,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s6)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s6) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s6))))),
% 1.19/1.25 inference(monotonicity,[status(thm)],[7846])).
% 1.19/1.25 tff(7848,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s6)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s6) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s6)))),
% 1.19/1.25 inference(transitivity,[status(thm)],[7847, 7845])).
% 1.19/1.25 tff(7849,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s6)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s6))),
% 1.19/1.25 inference(quant_inst,[status(thm)],[])).
% 1.19/1.25 tff(7850,plain,
% 1.19/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s6) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s6))),
% 1.19/1.25 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 1.19/1.25 tff(7851,plain,
% 1.19/1.25 ($false),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7850, 6843, 7844, 7212, 7843, 7213])).
% 1.19/1.25 tff(7852,plain,((~trans(s64, s6)) | until2p23(s6) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.25 tff(7853,plain,
% 1.19/1.25 (~trans(s64, s6)),
% 1.19/1.25 inference(unit_resolution,[status(thm)],[7852, 7573, 6833])).
% 1.19/1.25 tff(7854,assumption,(~until2p23(s7)), introduced(assumption)).
% 1.19/1.25 tff(7855,assumption,(trans(s64, s7)), introduced(assumption)).
% 1.19/1.25 tff(7856,plain,
% 1.19/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s7) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s7) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s7)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7857,plain,
% 1.23/1.25 (((~trans(s64, s7)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s7)) <=> (until2p23(s7) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s7)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7858,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s7)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s7) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s7))))),
% 1.23/1.25 inference(monotonicity,[status(thm)],[7857])).
% 1.23/1.25 tff(7859,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s7)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s7) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s7)))),
% 1.23/1.25 inference(transitivity,[status(thm)],[7858, 7856])).
% 1.23/1.25 tff(7860,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s7)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s7))),
% 1.23/1.25 inference(quant_inst,[status(thm)],[])).
% 1.23/1.25 tff(7861,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s7) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s7))),
% 1.23/1.25 inference(modus_ponens,[status(thm)],[7860, 7859])).
% 1.23/1.25 tff(7862,plain,
% 1.23/1.25 ($false),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7861, 6843, 7855, 7212, 7854, 7213])).
% 1.23/1.25 tff(7863,plain,((~trans(s64, s7)) | until2p23(s7) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.25 tff(7864,plain,
% 1.23/1.25 (~trans(s64, s7)),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7863, 7563, 6833])).
% 1.23/1.25 tff(7865,assumption,(~until2p23(s62)), introduced(assumption)).
% 1.23/1.25 tff(7866,assumption,(trans(s64, s62)), introduced(assumption)).
% 1.23/1.25 tff(7867,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s62) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s62) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s62)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7868,plain,
% 1.23/1.25 (((~trans(s64, s62)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s62)) <=> (until2p23(s62) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s62)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7869,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s62)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s62) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s62))))),
% 1.23/1.25 inference(monotonicity,[status(thm)],[7868])).
% 1.23/1.25 tff(7870,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s62)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s62) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s62)))),
% 1.23/1.25 inference(transitivity,[status(thm)],[7869, 7867])).
% 1.23/1.25 tff(7871,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s62)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s62))),
% 1.23/1.25 inference(quant_inst,[status(thm)],[])).
% 1.23/1.25 tff(7872,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s62) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s62))),
% 1.23/1.25 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 1.23/1.25 tff(7873,plain,
% 1.23/1.25 ($false),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7872, 6843, 7866, 7212, 7865, 7213])).
% 1.23/1.25 tff(7874,plain,((~trans(s64, s62)) | until2p23(s62) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.25 tff(7875,plain,
% 1.23/1.25 (~trans(s64, s62)),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7874, 6892, 6833])).
% 1.23/1.25 tff(7876,assumption,(~until2p23(s4)), introduced(assumption)).
% 1.23/1.25 tff(7877,assumption,(trans(s64, s4)), introduced(assumption)).
% 1.23/1.25 tff(7878,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s4) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s4) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s4)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7879,plain,
% 1.23/1.25 (((~trans(s64, s4)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s4)) <=> (until2p23(s4) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s4)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7880,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s4)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s4) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s4))))),
% 1.23/1.25 inference(monotonicity,[status(thm)],[7879])).
% 1.23/1.25 tff(7881,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s4)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s4) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s4)))),
% 1.23/1.25 inference(transitivity,[status(thm)],[7880, 7878])).
% 1.23/1.25 tff(7882,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s4)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s4))),
% 1.23/1.25 inference(quant_inst,[status(thm)],[])).
% 1.23/1.25 tff(7883,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s4) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s4))),
% 1.23/1.25 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 1.23/1.25 tff(7884,plain,
% 1.23/1.25 ($false),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7883, 6843, 7877, 7212, 7876, 7213])).
% 1.23/1.25 tff(7885,plain,((~trans(s64, s4)) | until2p23(s4) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.25 tff(7886,plain,
% 1.23/1.25 (~trans(s64, s4)),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7885, 7593, 6833])).
% 1.23/1.25 tff(7887,assumption,(~until2p23(s36)), introduced(assumption)).
% 1.23/1.25 tff(7888,assumption,(trans(s64, s36)), introduced(assumption)).
% 1.23/1.25 tff(7889,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s36) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s36) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s36)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7890,plain,
% 1.23/1.25 (((~trans(s64, s36)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s36)) <=> (until2p23(s36) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s36)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7891,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s36)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s36) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s36))))),
% 1.23/1.25 inference(monotonicity,[status(thm)],[7890])).
% 1.23/1.25 tff(7892,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s36)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s36) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s36)))),
% 1.23/1.25 inference(transitivity,[status(thm)],[7891, 7889])).
% 1.23/1.25 tff(7893,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s36)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s36))),
% 1.23/1.25 inference(quant_inst,[status(thm)],[])).
% 1.23/1.25 tff(7894,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s36) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s36))),
% 1.23/1.25 inference(modus_ponens,[status(thm)],[7893, 7892])).
% 1.23/1.25 tff(7895,plain,
% 1.23/1.25 ($false),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7894, 6843, 7888, 7212, 7887, 7213])).
% 1.23/1.25 tff(7896,plain,((~trans(s64, s36)) | until2p23(s36) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.25 tff(7897,plain,
% 1.23/1.25 (~trans(s64, s36)),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7896, 7152, 6833])).
% 1.23/1.25 tff(7898,assumption,(~until2p23(s39)), introduced(assumption)).
% 1.23/1.25 tff(7899,assumption,(trans(s64, s39)), introduced(assumption)).
% 1.23/1.25 tff(7900,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s39) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s39) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s39)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7901,plain,
% 1.23/1.25 (((~trans(s64, s39)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s39)) <=> (until2p23(s39) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s39)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7902,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s39)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s39) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s39))))),
% 1.23/1.25 inference(monotonicity,[status(thm)],[7901])).
% 1.23/1.25 tff(7903,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s39)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s39) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s39)))),
% 1.23/1.25 inference(transitivity,[status(thm)],[7902, 7900])).
% 1.23/1.25 tff(7904,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s39)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s39))),
% 1.23/1.25 inference(quant_inst,[status(thm)],[])).
% 1.23/1.25 tff(7905,plain,
% 1.23/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s39) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s39))),
% 1.23/1.25 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 1.23/1.25 tff(7906,plain,
% 1.23/1.25 ($false),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7905, 6843, 7899, 7212, 7898, 7213])).
% 1.23/1.25 tff(7907,plain,((~trans(s64, s39)) | until2p23(s39) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.25 tff(7908,plain,
% 1.23/1.25 (~trans(s64, s39)),
% 1.23/1.25 inference(unit_resolution,[status(thm)],[7907, 7122, 6833])).
% 1.23/1.25 tff(7909,assumption,(~until2p23(s43)), introduced(assumption)).
% 1.23/1.25 tff(7910,assumption,(trans(s64, s43)), introduced(assumption)).
% 1.23/1.25 tff(7911,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s43) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s43) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s43)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7912,plain,
% 1.23/1.25 (((~trans(s64, s43)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s43)) <=> (until2p23(s43) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s43)))),
% 1.23/1.25 inference(rewrite,[status(thm)],[])).
% 1.23/1.25 tff(7913,plain,
% 1.23/1.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s43)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s43) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s43))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7912])).
% 1.23/1.26 tff(7914,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s43)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s43) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s43)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7913, 7911])).
% 1.23/1.26 tff(7915,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s43)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s43))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7916,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s43) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s43))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 1.23/1.26 tff(7917,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7916, 6843, 7910, 7212, 7909, 7213])).
% 1.23/1.26 tff(7918,plain,((~trans(s64, s43)) | until2p23(s43) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7919,plain,
% 1.23/1.26 (~trans(s64, s43)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7918, 7082, 6833])).
% 1.23/1.26 tff(7920,assumption,(~until2p23(s33)), introduced(assumption)).
% 1.23/1.26 tff(7921,assumption,(trans(s64, s33)), introduced(assumption)).
% 1.23/1.26 tff(7922,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s33) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s33) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s33)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7923,plain,
% 1.23/1.26 (((~trans(s64, s33)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s33)) <=> (until2p23(s33) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s33)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7924,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s33)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s33) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s33))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7923])).
% 1.23/1.26 tff(7925,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s33)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s33) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s33)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7924, 7922])).
% 1.23/1.26 tff(7926,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s33)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s33))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7927,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s33) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s33))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 1.23/1.26 tff(7928,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7927, 6843, 7921, 7212, 7920, 7213])).
% 1.23/1.26 tff(7929,plain,((~trans(s64, s33)) | until2p23(s33) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7930,plain,
% 1.23/1.26 (~trans(s64, s33)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7929, 7182, 6833])).
% 1.23/1.26 tff(7931,assumption,(~until2p23(s60)), introduced(assumption)).
% 1.23/1.26 tff(7932,assumption,(trans(s64, s60)), introduced(assumption)).
% 1.23/1.26 tff(7933,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s60) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s60) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s60)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7934,plain,
% 1.23/1.26 (((~trans(s64, s60)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s60)) <=> (until2p23(s60) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s60)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7935,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s60)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s60) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s60))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7934])).
% 1.23/1.26 tff(7936,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s60)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s60) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s60)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7935, 7933])).
% 1.23/1.26 tff(7937,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s60)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s60))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7938,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s60) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s60))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 1.23/1.26 tff(7939,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7938, 6843, 7932, 7212, 7931, 7213])).
% 1.23/1.26 tff(7940,plain,((~trans(s64, s60)) | until2p23(s60) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7941,plain,
% 1.23/1.26 (~trans(s64, s60)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7940, 6912, 6833])).
% 1.23/1.26 tff(7942,assumption,(~until2p23(s48)), introduced(assumption)).
% 1.23/1.26 tff(7943,assumption,(trans(s64, s48)), introduced(assumption)).
% 1.23/1.26 tff(7944,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s48) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s48) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s48)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7945,plain,
% 1.23/1.26 (((~trans(s64, s48)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s48)) <=> (until2p23(s48) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s48)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7946,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s48)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s48) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s48))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7945])).
% 1.23/1.26 tff(7947,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s48)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s48) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s48)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7946, 7944])).
% 1.23/1.26 tff(7948,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s48)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s48))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7949,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s48) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s48))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7948, 7947])).
% 1.23/1.26 tff(7950,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7949, 6843, 7943, 7212, 7942, 7213])).
% 1.23/1.26 tff(7951,plain,((~trans(s64, s48)) | until2p23(s48) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7952,plain,
% 1.23/1.26 (~trans(s64, s48)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7951, 7032, 6833])).
% 1.23/1.26 tff(7953,assumption,(~until2p23(s17)), introduced(assumption)).
% 1.23/1.26 tff(7954,assumption,(trans(s64, s17)), introduced(assumption)).
% 1.23/1.26 tff(7955,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s17) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s17) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s17)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7956,plain,
% 1.23/1.26 (((~trans(s64, s17)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s17)) <=> (until2p23(s17) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s17)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7957,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s17)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s17) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s17))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7956])).
% 1.23/1.26 tff(7958,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s17)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s17) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s17)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7957, 7955])).
% 1.23/1.26 tff(7959,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s17)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s17))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7960,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s17) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s17))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7959, 7958])).
% 1.23/1.26 tff(7961,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7960, 6843, 7954, 7212, 7953, 7213])).
% 1.23/1.26 tff(7962,plain,((~trans(s64, s17)) | until2p23(s17) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7963,plain,
% 1.23/1.26 (~trans(s64, s17)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7962, 7386, 6833])).
% 1.23/1.26 tff(7964,assumption,(~until2p23(s63)), introduced(assumption)).
% 1.23/1.26 tff(7965,assumption,(trans(s64, s63)), introduced(assumption)).
% 1.23/1.26 tff(7966,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s63) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s63) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s63)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7967,plain,
% 1.23/1.26 (((~trans(s64, s63)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s63)) <=> (until2p23(s63) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s63)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7968,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s63)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s63) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s63))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7967])).
% 1.23/1.26 tff(7969,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s63)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s63) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s63)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7968, 7966])).
% 1.23/1.26 tff(7970,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s63)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s63))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7971,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s63) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s63))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 1.23/1.26 tff(7972,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7971, 6843, 7965, 7212, 7964, 7213])).
% 1.23/1.26 tff(7973,plain,((~trans(s64, s63)) | until2p23(s63) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7974,plain,
% 1.23/1.26 (~trans(s64, s63)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7973, 6882, 6833])).
% 1.23/1.26 tff(7975,assumption,(~until2p23(s56)), introduced(assumption)).
% 1.23/1.26 tff(7976,assumption,(trans(s64, s56)), introduced(assumption)).
% 1.23/1.26 tff(7977,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s56) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s56) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s56)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7978,plain,
% 1.23/1.26 (((~trans(s64, s56)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s56)) <=> (until2p23(s56) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s56)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7979,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s56)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s56) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s56))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7978])).
% 1.23/1.26 tff(7980,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s56)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s56) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s56)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7979, 7977])).
% 1.23/1.26 tff(7981,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s56)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s56))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7982,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s56) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s56))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7981, 7980])).
% 1.23/1.26 tff(7983,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7982, 6843, 7976, 7212, 7975, 7213])).
% 1.23/1.26 tff(7984,plain,((~trans(s64, s56)) | until2p23(s56) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7985,plain,
% 1.23/1.26 (~trans(s64, s56)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7984, 6952, 6833])).
% 1.23/1.26 tff(7986,assumption,(~until2p23(s28)), introduced(assumption)).
% 1.23/1.26 tff(7987,assumption,(trans(s64, s28)), introduced(assumption)).
% 1.23/1.26 tff(7988,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s28) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s28) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s28)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7989,plain,
% 1.23/1.26 (((~trans(s64, s28)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s28)) <=> (until2p23(s28) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s28)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(7990,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s28)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s28) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s28))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[7989])).
% 1.23/1.26 tff(7991,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s28)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s28) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s28)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[7990, 7988])).
% 1.23/1.26 tff(7992,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s28)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s28))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(7993,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s28) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s28))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 1.23/1.26 tff(7994,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7993, 6843, 7987, 7212, 7986, 7213])).
% 1.23/1.26 tff(7995,plain,((~trans(s64, s28)) | until2p23(s28) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(7996,plain,
% 1.23/1.26 (~trans(s64, s28)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[7995, 7276, 6833])).
% 1.23/1.26 tff(7997,assumption,(~until2p23(s32)), introduced(assumption)).
% 1.23/1.26 tff(7998,assumption,(trans(s64, s32)), introduced(assumption)).
% 1.23/1.26 tff(7999,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s32) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s32) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s32)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8000,plain,
% 1.23/1.26 (((~trans(s64, s32)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s32)) <=> (until2p23(s32) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s32)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8001,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s32)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s32) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s32))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[8000])).
% 1.23/1.26 tff(8002,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s32)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s32) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s32)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[8001, 7999])).
% 1.23/1.26 tff(8003,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s32)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s32))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(8004,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s32) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s32))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[8003, 8002])).
% 1.23/1.26 tff(8005,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8004, 6843, 7998, 7212, 7997, 7213])).
% 1.23/1.26 tff(8006,plain,((~trans(s64, s32)) | until2p23(s32) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(8007,plain,
% 1.23/1.26 (~trans(s64, s32)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8006, 7192, 6833])).
% 1.23/1.26 tff(8008,assumption,(~until2p23(s30)), introduced(assumption)).
% 1.23/1.26 tff(8009,assumption,(trans(s64, s30)), introduced(assumption)).
% 1.23/1.26 tff(8010,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s30) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s30) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s30)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8011,plain,
% 1.23/1.26 (((~trans(s64, s30)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s30)) <=> (until2p23(s30) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s30)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8012,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s30)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s30) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s30))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[8011])).
% 1.23/1.26 tff(8013,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s30)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s30) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s30)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[8012, 8010])).
% 1.23/1.26 tff(8014,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s30)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s30))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(8015,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s30) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s30))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 1.23/1.26 tff(8016,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8015, 6843, 8009, 7212, 8008, 7213])).
% 1.23/1.26 tff(8017,plain,((~trans(s64, s30)) | until2p23(s30) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(8018,plain,
% 1.23/1.26 (~trans(s64, s30)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8017, 7256, 6833])).
% 1.23/1.26 tff(8019,assumption,(~until2p23(s52)), introduced(assumption)).
% 1.23/1.26 tff(8020,assumption,(trans(s64, s52)), introduced(assumption)).
% 1.23/1.26 tff(8021,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s52) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s52) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s52)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8022,plain,
% 1.23/1.26 (((~trans(s64, s52)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s52)) <=> (until2p23(s52) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s52)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8023,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s52)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s52) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s52))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[8022])).
% 1.23/1.26 tff(8024,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s52)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s52) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s52)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[8023, 8021])).
% 1.23/1.26 tff(8025,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s52)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s52))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(8026,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s52) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s52))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 1.23/1.26 tff(8027,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8026, 6843, 8020, 7212, 8019, 7213])).
% 1.23/1.26 tff(8028,plain,((~trans(s64, s52)) | until2p23(s52) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(8029,plain,
% 1.23/1.26 (~trans(s64, s52)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8028, 6992, 6833])).
% 1.23/1.26 tff(8030,assumption,(~until2p23(s46)), introduced(assumption)).
% 1.23/1.26 tff(8031,assumption,(trans(s64, s46)), introduced(assumption)).
% 1.23/1.26 tff(8032,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s46) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s46) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s46)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8033,plain,
% 1.23/1.26 (((~trans(s64, s46)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s46)) <=> (until2p23(s46) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s46)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8034,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s46)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s46) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s46))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[8033])).
% 1.23/1.26 tff(8035,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s46)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s46) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s46)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[8034, 8032])).
% 1.23/1.26 tff(8036,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s46)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s46))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(8037,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s46) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s46))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[8036, 8035])).
% 1.23/1.26 tff(8038,plain,
% 1.23/1.26 ($false),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8037, 6843, 8031, 7212, 8030, 7213])).
% 1.23/1.26 tff(8039,plain,((~trans(s64, s46)) | until2p23(s46) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.26 tff(8040,plain,
% 1.23/1.26 (~trans(s64, s46)),
% 1.23/1.26 inference(unit_resolution,[status(thm)],[8039, 7052, 6833])).
% 1.23/1.26 tff(8041,assumption,(~until2p23(s49)), introduced(assumption)).
% 1.23/1.26 tff(8042,assumption,(trans(s64, s49)), introduced(assumption)).
% 1.23/1.26 tff(8043,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s49) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s49) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s49)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8044,plain,
% 1.23/1.26 (((~trans(s64, s49)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s49)) <=> (until2p23(s49) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s49)))),
% 1.23/1.26 inference(rewrite,[status(thm)],[])).
% 1.23/1.26 tff(8045,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s49)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s49) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s49))))),
% 1.23/1.26 inference(monotonicity,[status(thm)],[8044])).
% 1.23/1.26 tff(8046,plain,
% 1.23/1.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s49)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s49) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s49)))),
% 1.23/1.26 inference(transitivity,[status(thm)],[8045, 8043])).
% 1.23/1.26 tff(8047,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s49)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s49))),
% 1.23/1.26 inference(quant_inst,[status(thm)],[])).
% 1.23/1.26 tff(8048,plain,
% 1.23/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s49) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s49))),
% 1.23/1.26 inference(modus_ponens,[status(thm)],[8047, 8046])).
% 1.23/1.27 tff(8049,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8048, 6843, 8042, 7212, 8041, 7213])).
% 1.23/1.27 tff(8050,plain,((~trans(s64, s49)) | until2p23(s49) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8051,plain,
% 1.23/1.27 (~trans(s64, s49)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8050, 7022, 6833])).
% 1.23/1.27 tff(8052,assumption,(~until2p23(s51)), introduced(assumption)).
% 1.23/1.27 tff(8053,assumption,(trans(s64, s51)), introduced(assumption)).
% 1.23/1.27 tff(8054,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s51) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s51) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s51)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8055,plain,
% 1.23/1.27 (((~trans(s64, s51)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s51)) <=> (until2p23(s51) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s51)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8056,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s51)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s51) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s51))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8055])).
% 1.23/1.27 tff(8057,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s51)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s51) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s51)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8056, 8054])).
% 1.23/1.27 tff(8058,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s51)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s51))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8059,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s51) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s51))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 1.23/1.27 tff(8060,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8059, 6843, 8053, 7212, 8052, 7213])).
% 1.23/1.27 tff(8061,plain,((~trans(s64, s51)) | until2p23(s51) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8062,plain,
% 1.23/1.27 (~trans(s64, s51)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8061, 7002, 6833])).
% 1.23/1.27 tff(8063,assumption,(~until2p23(s40)), introduced(assumption)).
% 1.23/1.27 tff(8064,assumption,(trans(s64, s40)), introduced(assumption)).
% 1.23/1.27 tff(8065,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s40) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s40) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s40)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8066,plain,
% 1.23/1.27 (((~trans(s64, s40)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s40)) <=> (until2p23(s40) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s40)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8067,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s40)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s40) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s40))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8066])).
% 1.23/1.27 tff(8068,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s40)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s40) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s40)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8067, 8065])).
% 1.23/1.27 tff(8069,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s40)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s40))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8070,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s40) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s40))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 1.23/1.27 tff(8071,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8070, 6843, 8064, 7212, 8063, 7213])).
% 1.23/1.27 tff(8072,plain,((~trans(s64, s40)) | until2p23(s40) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8073,plain,
% 1.23/1.27 (~trans(s64, s40)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8072, 7112, 6833])).
% 1.23/1.27 tff(8074,assumption,(~until2p23(s19)), introduced(assumption)).
% 1.23/1.27 tff(8075,assumption,(trans(s64, s19)), introduced(assumption)).
% 1.23/1.27 tff(8076,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s19) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s19) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s19)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8077,plain,
% 1.23/1.27 (((~trans(s64, s19)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s19)) <=> (until2p23(s19) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s19)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8078,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s19)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s19) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s19))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8077])).
% 1.23/1.27 tff(8079,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s19)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s19) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s19)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8078, 8076])).
% 1.23/1.27 tff(8080,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s19)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s19))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8081,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s19) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s19))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8080, 8079])).
% 1.23/1.27 tff(8082,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8081, 6843, 8075, 7212, 8074, 7213])).
% 1.23/1.27 tff(8083,plain,((~trans(s64, s19)) | until2p23(s19) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8084,plain,
% 1.23/1.27 (~trans(s64, s19)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8083, 7366, 6833])).
% 1.23/1.27 tff(8085,assumption,(~until2p23(s16)), introduced(assumption)).
% 1.23/1.27 tff(8086,assumption,(trans(s64, s16)), introduced(assumption)).
% 1.23/1.27 tff(8087,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s16) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s16) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s16)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8088,plain,
% 1.23/1.27 (((~trans(s64, s16)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s16)) <=> (until2p23(s16) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s16)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8089,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s16)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s16) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s16))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8088])).
% 1.23/1.27 tff(8090,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s16)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s16) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s16)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8089, 8087])).
% 1.23/1.27 tff(8091,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s16)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s16))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8092,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s16) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s16))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8091, 8090])).
% 1.23/1.27 tff(8093,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8092, 6843, 8086, 7212, 8085, 7213])).
% 1.23/1.27 tff(8094,plain,((~trans(s64, s16)) | until2p23(s16) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8095,plain,
% 1.23/1.27 (~trans(s64, s16)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8094, 7396, 6833])).
% 1.23/1.27 tff(8096,assumption,(~until2p23(s59)), introduced(assumption)).
% 1.23/1.27 tff(8097,assumption,(trans(s64, s59)), introduced(assumption)).
% 1.23/1.27 tff(8098,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s59) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s59) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s59)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8099,plain,
% 1.23/1.27 (((~trans(s64, s59)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s59)) <=> (until2p23(s59) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s59)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8100,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s59)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s59) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s59))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8099])).
% 1.23/1.27 tff(8101,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s59)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s59) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s59)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8100, 8098])).
% 1.23/1.27 tff(8102,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s59)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s59))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8103,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s59) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s59))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 1.23/1.27 tff(8104,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8103, 6843, 8097, 7212, 8096, 7213])).
% 1.23/1.27 tff(8105,plain,((~trans(s64, s59)) | until2p23(s59) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8106,plain,
% 1.23/1.27 (~trans(s64, s59)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8105, 6922, 6833])).
% 1.23/1.27 tff(8107,assumption,(~until2p23(s1)), introduced(assumption)).
% 1.23/1.27 tff(8108,assumption,(trans(s64, s1)), introduced(assumption)).
% 1.23/1.27 tff(8109,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s1) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s1) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s1)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8110,plain,
% 1.23/1.27 (((~trans(s64, s1)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s1)) <=> (until2p23(s1) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s1)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8111,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s1)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s1) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s1))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8110])).
% 1.23/1.27 tff(8112,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s1)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s1) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s1)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8111, 8109])).
% 1.23/1.27 tff(8113,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s1)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s1))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8114,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s1) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s1))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 1.23/1.27 tff(8115,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8114, 6843, 8108, 7212, 8107, 7213])).
% 1.23/1.27 tff(8116,plain,((~trans(s64, s1)) | until2p23(s1) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8117,plain,
% 1.23/1.27 (~trans(s64, s1)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8116, 7623, 6833])).
% 1.23/1.27 tff(8118,assumption,(~until2p23(s14)), introduced(assumption)).
% 1.23/1.27 tff(8119,assumption,(trans(s64, s14)), introduced(assumption)).
% 1.23/1.27 tff(8120,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s14) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s14) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s14)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8121,plain,
% 1.23/1.27 (((~trans(s64, s14)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s14)) <=> (until2p23(s14) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s14)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8122,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s14)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s14) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s14))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8121])).
% 1.23/1.27 tff(8123,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s14)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s14) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s14)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8122, 8120])).
% 1.23/1.27 tff(8124,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s14)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s14))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8125,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s14) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s14))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8124, 8123])).
% 1.23/1.27 tff(8126,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8125, 6843, 8119, 7212, 8118, 7213])).
% 1.23/1.27 tff(8127,plain,((~trans(s64, s14)) | until2p23(s14) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8128,plain,
% 1.23/1.27 (~trans(s64, s14)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8127, 7416, 6833])).
% 1.23/1.27 tff(8129,assumption,(~until2p23(s34)), introduced(assumption)).
% 1.23/1.27 tff(8130,assumption,(trans(s64, s34)), introduced(assumption)).
% 1.23/1.27 tff(8131,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s34) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s34) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s34)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8132,plain,
% 1.23/1.27 (((~trans(s64, s34)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s34)) <=> (until2p23(s34) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s34)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8133,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s34)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s34) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s34))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8132])).
% 1.23/1.27 tff(8134,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s34)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s34) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s34)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8133, 8131])).
% 1.23/1.27 tff(8135,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s34)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s34))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8136,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s34) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s34))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8135, 8134])).
% 1.23/1.27 tff(8137,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8136, 6843, 8130, 7212, 8129, 7213])).
% 1.23/1.27 tff(8138,plain,((~trans(s64, s34)) | until2p23(s34) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8139,plain,
% 1.23/1.27 (~trans(s64, s34)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8138, 7172, 6833])).
% 1.23/1.27 tff(8140,assumption,(~until2p23(s27)), introduced(assumption)).
% 1.23/1.27 tff(8141,assumption,(trans(s64, s27)), introduced(assumption)).
% 1.23/1.27 tff(8142,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s27) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s27) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s27)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8143,plain,
% 1.23/1.27 (((~trans(s64, s27)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s27)) <=> (until2p23(s27) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s27)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8144,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s27)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s27) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s27))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8143])).
% 1.23/1.27 tff(8145,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s27)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s27) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s27)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8144, 8142])).
% 1.23/1.27 tff(8146,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s27)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s27))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8147,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s27) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s27))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 1.23/1.27 tff(8148,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8147, 6843, 8141, 7212, 8140, 7213])).
% 1.23/1.27 tff(8149,plain,((~trans(s64, s27)) | until2p23(s27) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8150,plain,
% 1.23/1.27 (~trans(s64, s27)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8149, 7286, 6833])).
% 1.23/1.27 tff(8151,assumption,(~until2p23(s23)), introduced(assumption)).
% 1.23/1.27 tff(8152,assumption,(trans(s64, s23)), introduced(assumption)).
% 1.23/1.27 tff(8153,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s23) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s23) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s23)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8154,plain,
% 1.23/1.27 (((~trans(s64, s23)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s23)) <=> (until2p23(s23) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s23)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8155,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s23)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s23) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s23))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8154])).
% 1.23/1.27 tff(8156,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s23)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s23) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s23)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8155, 8153])).
% 1.23/1.27 tff(8157,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s23)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s23))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8158,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s23) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s23))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 1.23/1.27 tff(8159,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8158, 6843, 8152, 7212, 8151, 7213])).
% 1.23/1.27 tff(8160,plain,((~trans(s64, s23)) | until2p23(s23) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8161,plain,
% 1.23/1.27 (~trans(s64, s23)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8160, 7326, 6833])).
% 1.23/1.27 tff(8162,assumption,(~until2p23(s55)), introduced(assumption)).
% 1.23/1.27 tff(8163,assumption,(trans(s64, s55)), introduced(assumption)).
% 1.23/1.27 tff(8164,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s55) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s55) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s55)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8165,plain,
% 1.23/1.27 (((~trans(s64, s55)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s55)) <=> (until2p23(s55) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s55)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8166,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s55)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s55) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s55))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8165])).
% 1.23/1.27 tff(8167,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s55)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s55) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s55)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8166, 8164])).
% 1.23/1.27 tff(8168,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s55)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s55))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8169,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s55) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s55))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 1.23/1.27 tff(8170,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8169, 6843, 8163, 7212, 8162, 7213])).
% 1.23/1.27 tff(8171,plain,((~trans(s64, s55)) | until2p23(s55) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8172,plain,
% 1.23/1.27 (~trans(s64, s55)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8171, 6962, 6833])).
% 1.23/1.27 tff(8173,assumption,(~until2p23(s13)), introduced(assumption)).
% 1.23/1.27 tff(8174,assumption,(trans(s64, s13)), introduced(assumption)).
% 1.23/1.27 tff(8175,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s13) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s13) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s13)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8176,plain,
% 1.23/1.27 (((~trans(s64, s13)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s13)) <=> (until2p23(s13) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s13)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8177,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s13)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s13) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s13))))),
% 1.23/1.27 inference(monotonicity,[status(thm)],[8176])).
% 1.23/1.27 tff(8178,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s13)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s13) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s13)))),
% 1.23/1.27 inference(transitivity,[status(thm)],[8177, 8175])).
% 1.23/1.27 tff(8179,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s13)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s13))),
% 1.23/1.27 inference(quant_inst,[status(thm)],[])).
% 1.23/1.27 tff(8180,plain,
% 1.23/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s13) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s13))),
% 1.23/1.27 inference(modus_ponens,[status(thm)],[8179, 8178])).
% 1.23/1.27 tff(8181,plain,
% 1.23/1.27 ($false),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8180, 6843, 8174, 7212, 8173, 7213])).
% 1.23/1.27 tff(8182,plain,((~trans(s64, s13)) | until2p23(s13) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.27 tff(8183,plain,
% 1.23/1.27 (~trans(s64, s13)),
% 1.23/1.27 inference(unit_resolution,[status(thm)],[8182, 7426, 6833])).
% 1.23/1.27 tff(8184,assumption,(~until2p23(s5)), introduced(assumption)).
% 1.23/1.27 tff(8185,assumption,(trans(s64, s5)), introduced(assumption)).
% 1.23/1.27 tff(8186,plain,
% 1.23/1.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s5) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s5) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s5)))),
% 1.23/1.27 inference(rewrite,[status(thm)],[])).
% 1.23/1.27 tff(8187,plain,
% 1.23/1.27 (((~trans(s64, s5)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s5)) <=> (until2p23(s5) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s5)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8188,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s5)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s5) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s5))))),
% 1.23/1.28 inference(monotonicity,[status(thm)],[8187])).
% 1.23/1.28 tff(8189,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s5)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s5) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s5)))),
% 1.23/1.28 inference(transitivity,[status(thm)],[8188, 8186])).
% 1.23/1.28 tff(8190,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s5)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s5))),
% 1.23/1.28 inference(quant_inst,[status(thm)],[])).
% 1.23/1.28 tff(8191,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s5) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s5))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8190, 8189])).
% 1.23/1.28 tff(8192,plain,
% 1.23/1.28 ($false),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8191, 6843, 8185, 7212, 8184, 7213])).
% 1.23/1.28 tff(8193,plain,((~trans(s64, s5)) | until2p23(s5) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.28 tff(8194,plain,
% 1.23/1.28 (~trans(s64, s5)),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8193, 7583, 6833])).
% 1.23/1.28 tff(8195,assumption,(~until2p23(s61)), introduced(assumption)).
% 1.23/1.28 tff(8196,assumption,(trans(s64, s61)), introduced(assumption)).
% 1.23/1.28 tff(8197,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s61) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s61) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s61)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8198,plain,
% 1.23/1.28 (((~trans(s64, s61)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s61)) <=> (until2p23(s61) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s61)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8199,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s61)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s61) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s61))))),
% 1.23/1.28 inference(monotonicity,[status(thm)],[8198])).
% 1.23/1.28 tff(8200,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s61)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s61) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s61)))),
% 1.23/1.28 inference(transitivity,[status(thm)],[8199, 8197])).
% 1.23/1.28 tff(8201,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s61)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s61))),
% 1.23/1.28 inference(quant_inst,[status(thm)],[])).
% 1.23/1.28 tff(8202,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s61) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s61))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 1.23/1.28 tff(8203,plain,
% 1.23/1.28 ($false),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8202, 6843, 8196, 7212, 8195, 7213])).
% 1.23/1.28 tff(8204,plain,((~trans(s64, s61)) | until2p23(s61) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.28 tff(8205,plain,
% 1.23/1.28 (~trans(s64, s61)),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8204, 6902, 6833])).
% 1.23/1.28 tff(8206,assumption,(~until2p23(s3)), introduced(assumption)).
% 1.23/1.28 tff(8207,assumption,(trans(s64, s3)), introduced(assumption)).
% 1.23/1.28 tff(8208,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s3) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s3) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s3)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8209,plain,
% 1.23/1.28 (((~trans(s64, s3)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s3)) <=> (until2p23(s3) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s3)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8210,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s3)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s3) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s3))))),
% 1.23/1.28 inference(monotonicity,[status(thm)],[8209])).
% 1.23/1.28 tff(8211,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s3)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s3) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s3)))),
% 1.23/1.28 inference(transitivity,[status(thm)],[8210, 8208])).
% 1.23/1.28 tff(8212,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s3)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s3))),
% 1.23/1.28 inference(quant_inst,[status(thm)],[])).
% 1.23/1.28 tff(8213,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s3) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s3))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 1.23/1.28 tff(8214,plain,
% 1.23/1.28 ($false),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8213, 6843, 8207, 7212, 8206, 7213])).
% 1.23/1.28 tff(8215,plain,((~trans(s64, s3)) | until2p23(s3) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.28 tff(8216,plain,
% 1.23/1.28 (~trans(s64, s3)),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8215, 7603, 6833])).
% 1.23/1.28 tff(8217,assumption,(~until2p23(s42)), introduced(assumption)).
% 1.23/1.28 tff(8218,assumption,(trans(s64, s42)), introduced(assumption)).
% 1.23/1.28 tff(8219,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s42) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s42) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s42)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8220,plain,
% 1.23/1.28 (((~trans(s64, s42)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s42)) <=> (until2p23(s42) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s42)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8221,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s42)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s42) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s42))))),
% 1.23/1.28 inference(monotonicity,[status(thm)],[8220])).
% 1.23/1.28 tff(8222,plain,
% 1.23/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s42)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s42) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s42)))),
% 1.23/1.28 inference(transitivity,[status(thm)],[8221, 8219])).
% 1.23/1.28 tff(8223,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s42)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s42))),
% 1.23/1.28 inference(quant_inst,[status(thm)],[])).
% 1.23/1.28 tff(8224,plain,
% 1.23/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s42) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s42))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 1.23/1.28 tff(8225,plain,
% 1.23/1.28 ($false),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8224, 6843, 8218, 7212, 8217, 7213])).
% 1.23/1.28 tff(8226,plain,((~trans(s64, s42)) | until2p23(s42) | (~xuntil22(s64))), inference(lemma,lemma(discharge,[]))).
% 1.23/1.28 tff(8227,plain,
% 1.23/1.28 (~trans(s64, s42)),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8226, 7092, 6833])).
% 1.23/1.28 tff(8228,assumption,(~loop), introduced(assumption)).
% 1.23/1.28 tff(8229,plain,
% 1.23/1.28 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil22(X))) <=> (loop | (~last(X)) | (~xuntil22(X))))),
% 1.23/1.28 inference(bind,[status(th)],[])).
% 1.23/1.28 tff(8230,plain,
% 1.23/1.28 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 1.23/1.28 inference(quant_intro,[status(thm)],[8229])).
% 1.23/1.28 tff(8231,plain,
% 1.23/1.28 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8232,plain,
% 1.23/1.28 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil22(X))) <=> (loop | (~last(X)) | (~xuntil22(X))))),
% 1.23/1.28 inference(bind,[status(th)],[])).
% 1.23/1.28 tff(8233,plain,
% 1.23/1.28 (![X: $i] : ((loop | (~last(X))) | (~xuntil22(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 1.23/1.28 inference(quant_intro,[status(thm)],[8232])).
% 1.23/1.28 tff(8234,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil22(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty8')).
% 1.23/1.28 tff(8235,plain,
% 1.23/1.28 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8234, 8233])).
% 1.23/1.28 tff(8236,plain,
% 1.23/1.28 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8235, 8231])).
% 1.23/1.28 tff(8237,plain,(
% 1.23/1.28 ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 1.23/1.28 inference(skolemize,[status(sab)],[8236])).
% 1.23/1.28 tff(8238,plain,
% 1.23/1.28 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8237, 8230])).
% 1.23/1.28 tff(8239,plain,
% 1.23/1.28 (((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | (loop | (~last(s64)) | (~xuntil22(s64)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | loop | (~last(s64)) | (~xuntil22(s64)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8240,plain,
% 1.23/1.28 ((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | (loop | (~last(s64)) | (~xuntil22(s64)))),
% 1.23/1.28 inference(quant_inst,[status(thm)],[])).
% 1.23/1.28 tff(8241,plain,
% 1.23/1.28 ((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | loop | (~last(s64)) | (~xuntil22(s64))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 1.23/1.28 tff(8242,plain,
% 1.23/1.28 (loop | (~xuntil22(s64))),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8241, 6843, 8238])).
% 1.23/1.28 tff(8243,plain,
% 1.23/1.28 (~xuntil22(s64)),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8242, 8228])).
% 1.23/1.28 tff(8244,plain,
% 1.23/1.28 (node20(s64)),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[6832, 8243])).
% 1.23/1.28 tff(8245,plain,
% 1.23/1.28 (^[X: $i] : refl((loop | (~always19(X)) | (~last(X))) <=> (loop | (~always19(X)) | (~last(X))))),
% 1.23/1.28 inference(bind,[status(th)],[])).
% 1.23/1.28 tff(8246,plain,
% 1.23/1.28 (![X: $i] : (loop | (~always19(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always19(X)) | (~last(X)))),
% 1.23/1.28 inference(quant_intro,[status(thm)],[8245])).
% 1.23/1.28 tff(8247,plain,
% 1.23/1.28 (![X: $i] : (loop | (~always19(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always19(X)) | (~last(X)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8248,plain,
% 1.23/1.28 (^[X: $i] : rewrite(((loop | (~always19(X))) | (~last(X))) <=> (loop | (~always19(X)) | (~last(X))))),
% 1.23/1.28 inference(bind,[status(th)],[])).
% 1.23/1.28 tff(8249,plain,
% 1.23/1.28 (![X: $i] : ((loop | (~always19(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always19(X)) | (~last(X)))),
% 1.23/1.28 inference(quant_intro,[status(thm)],[8248])).
% 1.23/1.28 tff(8250,axiom,(![X: $i] : ((loop | (~always19(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty3')).
% 1.23/1.28 tff(8251,plain,
% 1.23/1.28 (![X: $i] : (loop | (~always19(X)) | (~last(X)))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8250, 8249])).
% 1.23/1.28 tff(8252,plain,
% 1.23/1.28 (![X: $i] : (loop | (~always19(X)) | (~last(X)))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8251, 8247])).
% 1.23/1.28 tff(8253,plain,(
% 1.23/1.28 ![X: $i] : (loop | (~always19(X)) | (~last(X)))),
% 1.23/1.28 inference(skolemize,[status(sab)],[8252])).
% 1.23/1.28 tff(8254,plain,
% 1.23/1.28 (![X: $i] : (loop | (~always19(X)) | (~last(X)))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8253, 8246])).
% 1.23/1.28 tff(8255,plain,
% 1.23/1.28 (((~![X: $i] : (loop | (~always19(X)) | (~last(X)))) | (loop | (~always19(s64)) | (~last(s64)))) <=> ((~![X: $i] : (loop | (~always19(X)) | (~last(X)))) | loop | (~always19(s64)) | (~last(s64)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8256,plain,
% 1.23/1.28 ((~![X: $i] : (loop | (~always19(X)) | (~last(X)))) | (loop | (~always19(s64)) | (~last(s64)))),
% 1.23/1.28 inference(quant_inst,[status(thm)],[])).
% 1.23/1.28 tff(8257,plain,
% 1.23/1.28 ((~![X: $i] : (loop | (~always19(X)) | (~last(X)))) | loop | (~always19(s64)) | (~last(s64))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 1.23/1.28 tff(8258,plain,
% 1.23/1.28 (loop | (~always19(s64))),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8257, 6843, 8254])).
% 1.23/1.28 tff(8259,plain,
% 1.23/1.28 (~always19(s64)),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8258, 8228])).
% 1.23/1.28 tff(8260,plain,
% 1.23/1.28 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s64) | (~node20(s64)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s64) | (~node20(s64)))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8261,plain,
% 1.23/1.28 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s64) | (~node20(s64)))),
% 1.23/1.28 inference(quant_inst,[status(thm)],[])).
% 1.23/1.28 tff(8262,plain,
% 1.23/1.28 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s64) | (~node20(s64))),
% 1.23/1.28 inference(modus_ponens,[status(thm)],[8261, 8260])).
% 1.23/1.28 tff(8263,plain,
% 1.23/1.28 ($false),
% 1.23/1.28 inference(unit_resolution,[status(thm)],[8262, 5449, 8259, 8244])).
% 1.23/1.28 tff(8264,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 1.23/1.28 tff(8265,plain,
% 1.23/1.28 (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8266,plain,
% 1.23/1.28 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63)) | trans(s64, s64)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64))),
% 1.23/1.28 inference(rewrite,[status(thm)],[])).
% 1.23/1.28 tff(8267,plain,
% 1.23/1.28 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62)) | trans(s64, s63)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63))),
% 1.23/1.29 inference(rewrite,[status(thm)],[])).
% 1.23/1.29 tff(8268,plain,
% 1.23/1.29 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61)) | trans(s64, s62)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62))),
% 1.23/1.29 inference(rewrite,[status(thm)],[])).
% 1.23/1.29 tff(8269,plain,
% 1.23/1.29 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60)) | trans(s64, s61)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61))),
% 1.23/1.29 inference(rewrite,[status(thm)],[])).
% 1.23/1.29 tff(8270,plain,
% 1.23/1.29 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59)) | trans(s64, s60)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60))),
% 1.23/1.29 inference(rewrite,[status(thm)],[])).
% 1.23/1.29 tff(8271,plain,
% 1.23/1.29 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58)) | trans(s64, s59)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59))),
% 1.23/1.29 inference(rewrite,[status(thm)],[])).
% 1.23/1.29 tff(8272,plain,
% 1.23/1.29 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57)) | trans(s64, s58)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58))),
% 1.23/1.29 inference(rewrite,[status(thm)],[])).
% 1.23/1.29 tff(8273,plain,
% 1.23/1.29 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56)) | trans(s64, s57)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57))),
% 1.23/1.30 inference(rewrite,[status(thm)],[])).
% 1.23/1.30 tff(8274,plain,
% 1.23/1.30 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55)) | trans(s64, s56)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56))),
% 1.23/1.30 inference(rewrite,[status(thm)],[])).
% 1.23/1.30 tff(8275,plain,
% 1.23/1.30 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54)) | trans(s64, s55)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55))),
% 1.23/1.30 inference(rewrite,[status(thm)],[])).
% 1.23/1.30 tff(8276,plain,
% 1.23/1.30 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53)) | trans(s64, s54)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54))),
% 1.23/1.30 inference(rewrite,[status(thm)],[])).
% 1.23/1.30 tff(8277,plain,
% 1.23/1.30 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52)) | trans(s64, s53)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53))),
% 1.23/1.30 inference(rewrite,[status(thm)],[])).
% 1.23/1.30 tff(8278,plain,
% 1.23/1.30 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51)) | trans(s64, s52)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52))),
% 1.23/1.30 inference(rewrite,[status(thm)],[])).
% 1.23/1.30 tff(8279,plain,
% 1.23/1.30 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50)) | trans(s64, s51)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51))),
% 1.23/1.31 inference(rewrite,[status(thm)],[])).
% 1.23/1.31 tff(8280,plain,
% 1.23/1.31 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49)) | trans(s64, s50)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50))),
% 1.23/1.31 inference(rewrite,[status(thm)],[])).
% 1.23/1.31 tff(8281,plain,
% 1.23/1.31 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48)) | trans(s64, s49)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49))),
% 1.23/1.31 inference(rewrite,[status(thm)],[])).
% 1.23/1.31 tff(8282,plain,
% 1.23/1.31 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47)) | trans(s64, s48)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48))),
% 1.23/1.31 inference(rewrite,[status(thm)],[])).
% 1.23/1.31 tff(8283,plain,
% 1.23/1.31 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46)) | trans(s64, s47)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47))),
% 1.23/1.31 inference(rewrite,[status(thm)],[])).
% 1.23/1.31 tff(8284,plain,
% 1.23/1.31 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45)) | trans(s64, s46)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46))),
% 1.23/1.31 inference(rewrite,[status(thm)],[])).
% 1.23/1.31 tff(8285,plain,
% 1.23/1.31 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44)) | trans(s64, s45)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8286,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43)) | trans(s64, s44)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8287,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42)) | trans(s64, s43)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8288,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41)) | trans(s64, s42)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8289,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40)) | trans(s64, s41)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8290,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39)) | trans(s64, s40)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8291,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38)) | trans(s64, s39)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8292,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37)) | trans(s64, s38)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38))),
% 1.23/1.32 inference(rewrite,[status(thm)],[])).
% 1.23/1.32 tff(8293,plain,
% 1.23/1.32 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36)) | trans(s64, s37)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37))),
% 1.23/1.33 inference(rewrite,[status(thm)],[])).
% 1.23/1.33 tff(8294,plain,
% 1.23/1.33 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35)) | trans(s64, s36)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36))),
% 1.23/1.33 inference(rewrite,[status(thm)],[])).
% 1.23/1.33 tff(8295,plain,
% 1.23/1.33 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34)) | trans(s64, s35)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35))),
% 1.23/1.33 inference(rewrite,[status(thm)],[])).
% 1.23/1.33 tff(8296,plain,
% 1.23/1.33 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33)) | trans(s64, s34)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34))),
% 1.23/1.33 inference(rewrite,[status(thm)],[])).
% 1.23/1.33 tff(8297,plain,
% 1.23/1.33 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32)) | trans(s64, s33)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33))),
% 1.23/1.33 inference(rewrite,[status(thm)],[])).
% 1.23/1.33 tff(8298,plain,
% 1.23/1.33 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31)) | trans(s64, s32)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32))),
% 1.23/1.33 inference(rewrite,[status(thm)],[])).
% 1.23/1.33 tff(8299,plain,
% 1.23/1.33 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30)) | trans(s64, s31)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8300,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29)) | trans(s64, s30)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8301,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28)) | trans(s64, s29)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8302,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27)) | trans(s64, s28)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8303,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26)) | trans(s64, s27)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8304,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25)) | trans(s64, s26)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8305,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24)) | trans(s64, s25)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8306,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23)) | trans(s64, s24)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8307,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22)) | trans(s64, s23)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8308,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21)) | trans(s64, s22)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8309,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20)) | trans(s64, s21)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8310,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19)) | trans(s64, s20)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8311,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18)) | trans(s64, s19)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19))),
% 1.31/1.34 inference(rewrite,[status(thm)],[])).
% 1.31/1.34 tff(8312,plain,
% 1.31/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17)) | trans(s64, s18)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8313,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16)) | trans(s64, s17)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8314,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15)) | trans(s64, s16)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8315,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14)) | trans(s64, s15)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8316,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13)) | trans(s64, s14)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8317,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12)) | trans(s64, s13)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8318,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11)) | trans(s64, s12)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8319,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10)) | trans(s64, s11)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8320,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9)) | trans(s64, s10)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8321,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8)) | trans(s64, s9)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8322,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7)) | trans(s64, s8)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8323,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6)) | trans(s64, s7)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8324,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5)) | trans(s64, s6)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8325,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4)) | trans(s64, s5)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8326,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3)) | trans(s64, s4)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8327,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2)) | trans(s64, s3)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8328,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1)) | trans(s64, s2)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8329,plain,
% 1.31/1.35 ((((~loop) | trans(s64, s0)) | trans(s64, s1)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1))),
% 1.31/1.35 inference(rewrite,[status(thm)],[])).
% 1.31/1.35 tff(8330,plain,
% 1.31/1.35 (((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1)) | trans(s64, s2))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8329])).
% 1.31/1.35 tff(8331,plain,
% 1.31/1.35 (((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8330, 8328])).
% 1.31/1.35 tff(8332,plain,
% 1.31/1.35 ((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2)) | trans(s64, s3))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8331])).
% 1.31/1.35 tff(8333,plain,
% 1.31/1.35 ((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8332, 8327])).
% 1.31/1.35 tff(8334,plain,
% 1.31/1.35 (((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3)) | trans(s64, s4))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8333])).
% 1.31/1.35 tff(8335,plain,
% 1.31/1.35 (((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8334, 8326])).
% 1.31/1.35 tff(8336,plain,
% 1.31/1.35 ((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4)) | trans(s64, s5))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8335])).
% 1.31/1.35 tff(8337,plain,
% 1.31/1.35 ((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8336, 8325])).
% 1.31/1.35 tff(8338,plain,
% 1.31/1.35 (((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5)) | trans(s64, s6))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8337])).
% 1.31/1.35 tff(8339,plain,
% 1.31/1.35 (((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8338, 8324])).
% 1.31/1.35 tff(8340,plain,
% 1.31/1.35 ((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6)) | trans(s64, s7))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8339])).
% 1.31/1.35 tff(8341,plain,
% 1.31/1.35 ((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8340, 8323])).
% 1.31/1.35 tff(8342,plain,
% 1.31/1.35 (((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7)) | trans(s64, s8))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8341])).
% 1.31/1.35 tff(8343,plain,
% 1.31/1.35 (((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8342, 8322])).
% 1.31/1.35 tff(8344,plain,
% 1.31/1.35 ((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8)) | trans(s64, s9))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8343])).
% 1.31/1.35 tff(8345,plain,
% 1.31/1.35 ((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8344, 8321])).
% 1.31/1.35 tff(8346,plain,
% 1.31/1.35 (((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9)) | trans(s64, s10))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8345])).
% 1.31/1.35 tff(8347,plain,
% 1.31/1.35 (((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8346, 8320])).
% 1.31/1.35 tff(8348,plain,
% 1.31/1.35 ((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10)) | trans(s64, s11))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8347])).
% 1.31/1.35 tff(8349,plain,
% 1.31/1.35 ((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11))),
% 1.31/1.35 inference(transitivity,[status(thm)],[8348, 8319])).
% 1.31/1.35 tff(8350,plain,
% 1.31/1.35 (((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11)) | trans(s64, s12))),
% 1.31/1.35 inference(monotonicity,[status(thm)],[8349])).
% 1.31/1.35 tff(8351,plain,
% 1.31/1.35 (((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8350, 8318])).
% 1.31/1.36 tff(8352,plain,
% 1.31/1.36 ((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12)) | trans(s64, s13))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8351])).
% 1.31/1.36 tff(8353,plain,
% 1.31/1.36 ((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8352, 8317])).
% 1.31/1.36 tff(8354,plain,
% 1.31/1.36 (((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13)) | trans(s64, s14))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8353])).
% 1.31/1.36 tff(8355,plain,
% 1.31/1.36 (((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8354, 8316])).
% 1.31/1.36 tff(8356,plain,
% 1.31/1.36 ((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14)) | trans(s64, s15))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8355])).
% 1.31/1.36 tff(8357,plain,
% 1.31/1.36 ((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8356, 8315])).
% 1.31/1.36 tff(8358,plain,
% 1.31/1.36 (((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15)) | trans(s64, s16))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8357])).
% 1.31/1.36 tff(8359,plain,
% 1.31/1.36 (((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8358, 8314])).
% 1.31/1.36 tff(8360,plain,
% 1.31/1.36 ((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16)) | trans(s64, s17))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8359])).
% 1.31/1.36 tff(8361,plain,
% 1.31/1.36 ((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8360, 8313])).
% 1.31/1.36 tff(8362,plain,
% 1.31/1.36 (((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17)) | trans(s64, s18))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8361])).
% 1.31/1.36 tff(8363,plain,
% 1.31/1.36 (((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8362, 8312])).
% 1.31/1.36 tff(8364,plain,
% 1.31/1.36 ((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18)) | trans(s64, s19))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8363])).
% 1.31/1.36 tff(8365,plain,
% 1.31/1.36 ((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8364, 8311])).
% 1.31/1.36 tff(8366,plain,
% 1.31/1.36 (((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19)) | trans(s64, s20))),
% 1.31/1.36 inference(monotonicity,[status(thm)],[8365])).
% 1.31/1.36 tff(8367,plain,
% 1.31/1.36 (((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20))),
% 1.31/1.36 inference(transitivity,[status(thm)],[8366, 8310])).
% 1.31/1.36 tff(8368,plain,
% 1.31/1.36 ((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20)) | trans(s64, s21))),
% 1.31/1.37 inference(monotonicity,[status(thm)],[8367])).
% 1.31/1.37 tff(8369,plain,
% 1.31/1.37 ((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21))),
% 1.31/1.37 inference(transitivity,[status(thm)],[8368, 8309])).
% 1.31/1.37 tff(8370,plain,
% 1.31/1.37 (((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21)) | trans(s64, s22))),
% 1.31/1.37 inference(monotonicity,[status(thm)],[8369])).
% 1.31/1.37 tff(8371,plain,
% 1.31/1.37 (((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22))),
% 1.31/1.37 inference(transitivity,[status(thm)],[8370, 8308])).
% 1.31/1.37 tff(8372,plain,
% 1.31/1.37 ((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22)) | trans(s64, s23))),
% 1.31/1.37 inference(monotonicity,[status(thm)],[8371])).
% 1.31/1.37 tff(8373,plain,
% 1.31/1.37 ((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23))),
% 1.31/1.37 inference(transitivity,[status(thm)],[8372, 8307])).
% 1.31/1.37 tff(8374,plain,
% 1.31/1.37 (((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23)) | trans(s64, s24))),
% 1.31/1.37 inference(monotonicity,[status(thm)],[8373])).
% 1.31/1.37 tff(8375,plain,
% 1.31/1.37 (((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24))),
% 1.31/1.37 inference(transitivity,[status(thm)],[8374, 8306])).
% 1.31/1.37 tff(8376,plain,
% 1.31/1.37 ((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24)) | trans(s64, s25))),
% 1.31/1.37 inference(monotonicity,[status(thm)],[8375])).
% 1.31/1.37 tff(8377,plain,
% 1.31/1.37 ((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25))),
% 1.31/1.37 inference(transitivity,[status(thm)],[8376, 8305])).
% 1.31/1.37 tff(8378,plain,
% 1.31/1.37 (((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25)) | trans(s64, s26))),
% 1.31/1.37 inference(monotonicity,[status(thm)],[8377])).
% 1.31/1.37 tff(8379,plain,
% 1.31/1.37 (((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26))),
% 1.31/1.37 inference(transitivity,[status(thm)],[8378, 8304])).
% 1.31/1.37 tff(8380,plain,
% 1.31/1.37 ((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26)) | trans(s64, s27))),
% 1.31/1.38 inference(monotonicity,[status(thm)],[8379])).
% 1.31/1.38 tff(8381,plain,
% 1.31/1.38 ((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27))),
% 1.31/1.38 inference(transitivity,[status(thm)],[8380, 8303])).
% 1.31/1.38 tff(8382,plain,
% 1.31/1.38 (((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27)) | trans(s64, s28))),
% 1.31/1.38 inference(monotonicity,[status(thm)],[8381])).
% 1.31/1.38 tff(8383,plain,
% 1.31/1.38 (((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28))),
% 1.36/1.38 inference(transitivity,[status(thm)],[8382, 8302])).
% 1.36/1.38 tff(8384,plain,
% 1.36/1.38 ((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28)) | trans(s64, s29))),
% 1.36/1.38 inference(monotonicity,[status(thm)],[8383])).
% 1.36/1.38 tff(8385,plain,
% 1.36/1.38 ((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29))),
% 1.36/1.38 inference(transitivity,[status(thm)],[8384, 8301])).
% 1.36/1.38 tff(8386,plain,
% 1.36/1.38 (((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29)) | trans(s64, s30))),
% 1.36/1.38 inference(monotonicity,[status(thm)],[8385])).
% 1.36/1.38 tff(8387,plain,
% 1.36/1.38 (((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30))),
% 1.36/1.38 inference(transitivity,[status(thm)],[8386, 8300])).
% 1.36/1.38 tff(8388,plain,
% 1.36/1.38 ((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30)) | trans(s64, s31))),
% 1.36/1.38 inference(monotonicity,[status(thm)],[8387])).
% 1.36/1.38 tff(8389,plain,
% 1.36/1.38 ((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31))),
% 1.36/1.38 inference(transitivity,[status(thm)],[8388, 8299])).
% 1.36/1.38 tff(8390,plain,
% 1.36/1.38 (((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31)) | trans(s64, s32))),
% 1.36/1.39 inference(monotonicity,[status(thm)],[8389])).
% 1.36/1.39 tff(8391,plain,
% 1.36/1.39 (((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32))),
% 1.36/1.39 inference(transitivity,[status(thm)],[8390, 8298])).
% 1.36/1.39 tff(8392,plain,
% 1.36/1.39 ((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32)) | trans(s64, s33))),
% 1.36/1.39 inference(monotonicity,[status(thm)],[8391])).
% 1.36/1.39 tff(8393,plain,
% 1.36/1.39 ((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33))),
% 1.36/1.39 inference(transitivity,[status(thm)],[8392, 8297])).
% 1.36/1.39 tff(8394,plain,
% 1.36/1.39 (((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33)) | trans(s64, s34))),
% 1.36/1.39 inference(monotonicity,[status(thm)],[8393])).
% 1.36/1.39 tff(8395,plain,
% 1.36/1.39 (((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34))),
% 1.36/1.39 inference(transitivity,[status(thm)],[8394, 8296])).
% 1.36/1.39 tff(8396,plain,
% 1.36/1.39 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34)) | trans(s64, s35))),
% 1.36/1.39 inference(monotonicity,[status(thm)],[8395])).
% 1.36/1.39 tff(8397,plain,
% 1.36/1.39 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35))),
% 1.36/1.39 inference(transitivity,[status(thm)],[8396, 8295])).
% 1.36/1.39 tff(8398,plain,
% 1.36/1.39 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35)) | trans(s64, s36))),
% 1.36/1.39 inference(monotonicity,[status(thm)],[8397])).
% 1.36/1.39 tff(8399,plain,
% 1.36/1.40 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36))),
% 1.36/1.40 inference(transitivity,[status(thm)],[8398, 8294])).
% 1.36/1.40 tff(8400,plain,
% 1.36/1.40 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36)) | trans(s64, s37))),
% 1.36/1.40 inference(monotonicity,[status(thm)],[8399])).
% 1.36/1.40 tff(8401,plain,
% 1.36/1.40 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37))),
% 1.36/1.40 inference(transitivity,[status(thm)],[8400, 8293])).
% 1.36/1.40 tff(8402,plain,
% 1.36/1.40 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37)) | trans(s64, s38))),
% 1.36/1.40 inference(monotonicity,[status(thm)],[8401])).
% 1.36/1.40 tff(8403,plain,
% 1.36/1.40 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38))),
% 1.36/1.40 inference(transitivity,[status(thm)],[8402, 8292])).
% 1.36/1.40 tff(8404,plain,
% 1.36/1.40 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38)) | trans(s64, s39))),
% 1.36/1.40 inference(monotonicity,[status(thm)],[8403])).
% 1.36/1.40 tff(8405,plain,
% 1.36/1.40 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39))),
% 1.36/1.40 inference(transitivity,[status(thm)],[8404, 8291])).
% 1.36/1.40 tff(8406,plain,
% 1.36/1.40 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39)) | trans(s64, s40))),
% 1.36/1.41 inference(monotonicity,[status(thm)],[8405])).
% 1.36/1.41 tff(8407,plain,
% 1.36/1.41 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40))),
% 1.36/1.41 inference(transitivity,[status(thm)],[8406, 8290])).
% 1.36/1.41 tff(8408,plain,
% 1.36/1.41 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40)) | trans(s64, s41))),
% 1.36/1.41 inference(monotonicity,[status(thm)],[8407])).
% 1.36/1.41 tff(8409,plain,
% 1.36/1.41 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41))),
% 1.36/1.41 inference(transitivity,[status(thm)],[8408, 8289])).
% 1.36/1.41 tff(8410,plain,
% 1.36/1.41 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41)) | trans(s64, s42))),
% 1.36/1.41 inference(monotonicity,[status(thm)],[8409])).
% 1.36/1.41 tff(8411,plain,
% 1.36/1.41 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42))),
% 1.36/1.41 inference(transitivity,[status(thm)],[8410, 8288])).
% 1.36/1.41 tff(8412,plain,
% 1.36/1.41 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42)) | trans(s64, s43))),
% 1.36/1.41 inference(monotonicity,[status(thm)],[8411])).
% 1.36/1.41 tff(8413,plain,
% 1.36/1.41 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43))),
% 1.36/1.41 inference(transitivity,[status(thm)],[8412, 8287])).
% 1.36/1.41 tff(8414,plain,
% 1.36/1.41 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43)) | trans(s64, s44))),
% 1.36/1.42 inference(monotonicity,[status(thm)],[8413])).
% 1.36/1.42 tff(8415,plain,
% 1.36/1.42 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44))),
% 1.36/1.42 inference(transitivity,[status(thm)],[8414, 8286])).
% 1.36/1.42 tff(8416,plain,
% 1.36/1.42 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44)) | trans(s64, s45))),
% 1.36/1.42 inference(monotonicity,[status(thm)],[8415])).
% 1.36/1.42 tff(8417,plain,
% 1.36/1.42 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45))),
% 1.36/1.42 inference(transitivity,[status(thm)],[8416, 8285])).
% 1.36/1.42 tff(8418,plain,
% 1.36/1.42 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45)) | trans(s64, s46))),
% 1.36/1.42 inference(monotonicity,[status(thm)],[8417])).
% 1.36/1.42 tff(8419,plain,
% 1.36/1.42 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46))),
% 1.36/1.42 inference(transitivity,[status(thm)],[8418, 8284])).
% 1.36/1.42 tff(8420,plain,
% 1.36/1.42 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46)) | trans(s64, s47))),
% 1.36/1.43 inference(monotonicity,[status(thm)],[8419])).
% 1.36/1.43 tff(8421,plain,
% 1.36/1.43 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47))),
% 1.36/1.43 inference(transitivity,[status(thm)],[8420, 8283])).
% 1.36/1.43 tff(8422,plain,
% 1.36/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47)) | trans(s64, s48))),
% 1.36/1.43 inference(monotonicity,[status(thm)],[8421])).
% 1.36/1.43 tff(8423,plain,
% 1.36/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48))),
% 1.36/1.43 inference(transitivity,[status(thm)],[8422, 8282])).
% 1.36/1.43 tff(8424,plain,
% 1.36/1.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48)) | trans(s64, s49))),
% 1.36/1.43 inference(monotonicity,[status(thm)],[8423])).
% 1.36/1.43 tff(8425,plain,
% 1.36/1.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49))),
% 1.36/1.43 inference(transitivity,[status(thm)],[8424, 8281])).
% 1.36/1.43 tff(8426,plain,
% 1.36/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49)) | trans(s64, s50))),
% 1.36/1.43 inference(monotonicity,[status(thm)],[8425])).
% 1.36/1.43 tff(8427,plain,
% 1.36/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50))),
% 1.36/1.44 inference(transitivity,[status(thm)],[8426, 8280])).
% 1.36/1.44 tff(8428,plain,
% 1.36/1.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50)) | trans(s64, s51))),
% 1.36/1.44 inference(monotonicity,[status(thm)],[8427])).
% 1.36/1.44 tff(8429,plain,
% 1.36/1.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51))),
% 1.36/1.44 inference(transitivity,[status(thm)],[8428, 8279])).
% 1.36/1.44 tff(8430,plain,
% 1.36/1.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51)) | trans(s64, s52))),
% 1.36/1.44 inference(monotonicity,[status(thm)],[8429])).
% 1.36/1.44 tff(8431,plain,
% 1.36/1.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52))),
% 1.42/1.44 inference(transitivity,[status(thm)],[8430, 8278])).
% 1.42/1.44 tff(8432,plain,
% 1.42/1.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52)) | trans(s64, s53))),
% 1.42/1.45 inference(monotonicity,[status(thm)],[8431])).
% 1.42/1.45 tff(8433,plain,
% 1.42/1.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53))),
% 1.42/1.45 inference(transitivity,[status(thm)],[8432, 8277])).
% 1.42/1.45 tff(8434,plain,
% 1.42/1.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53)) | trans(s64, s54))),
% 1.42/1.45 inference(monotonicity,[status(thm)],[8433])).
% 1.42/1.45 tff(8435,plain,
% 1.42/1.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54))),
% 1.42/1.45 inference(transitivity,[status(thm)],[8434, 8276])).
% 1.42/1.45 tff(8436,plain,
% 1.42/1.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54)) | trans(s64, s55))),
% 1.42/1.45 inference(monotonicity,[status(thm)],[8435])).
% 1.42/1.45 tff(8437,plain,
% 1.42/1.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55))),
% 1.42/1.45 inference(transitivity,[status(thm)],[8436, 8275])).
% 1.42/1.45 tff(8438,plain,
% 1.42/1.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55)) | trans(s64, s56))),
% 1.42/1.46 inference(monotonicity,[status(thm)],[8437])).
% 1.42/1.46 tff(8439,plain,
% 1.42/1.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56))),
% 1.42/1.46 inference(transitivity,[status(thm)],[8438, 8274])).
% 1.42/1.46 tff(8440,plain,
% 1.42/1.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56)) | trans(s64, s57))),
% 1.43/1.46 inference(monotonicity,[status(thm)],[8439])).
% 1.43/1.46 tff(8441,plain,
% 1.43/1.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57))),
% 1.43/1.46 inference(transitivity,[status(thm)],[8440, 8273])).
% 1.43/1.46 tff(8442,plain,
% 1.43/1.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57)) | trans(s64, s58))),
% 1.43/1.46 inference(monotonicity,[status(thm)],[8441])).
% 1.43/1.46 tff(8443,plain,
% 1.43/1.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58))),
% 1.43/1.47 inference(transitivity,[status(thm)],[8442, 8272])).
% 1.43/1.47 tff(8444,plain,
% 1.43/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58)) | trans(s64, s59))),
% 1.43/1.47 inference(monotonicity,[status(thm)],[8443])).
% 1.43/1.47 tff(8445,plain,
% 1.43/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59))),
% 1.43/1.47 inference(transitivity,[status(thm)],[8444, 8271])).
% 1.43/1.47 tff(8446,plain,
% 1.43/1.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59)) | trans(s64, s60))),
% 1.43/1.47 inference(monotonicity,[status(thm)],[8445])).
% 1.43/1.47 tff(8447,plain,
% 1.43/1.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60))),
% 1.43/1.47 inference(transitivity,[status(thm)],[8446, 8270])).
% 1.43/1.47 tff(8448,plain,
% 1.43/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60)) | trans(s64, s61))),
% 1.43/1.47 inference(monotonicity,[status(thm)],[8447])).
% 1.43/1.47 tff(8449,plain,
% 1.43/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61))),
% 1.43/1.48 inference(transitivity,[status(thm)],[8448, 8269])).
% 1.43/1.48 tff(8450,plain,
% 1.43/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61)) | trans(s64, s62))),
% 1.43/1.48 inference(monotonicity,[status(thm)],[8449])).
% 1.43/1.48 tff(8451,plain,
% 1.43/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62))),
% 1.43/1.48 inference(transitivity,[status(thm)],[8450, 8268])).
% 1.43/1.48 tff(8452,plain,
% 1.43/1.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62)) | trans(s64, s63))),
% 1.43/1.48 inference(monotonicity,[status(thm)],[8451])).
% 1.43/1.48 tff(8453,plain,
% 1.43/1.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63))),
% 1.43/1.48 inference(transitivity,[status(thm)],[8452, 8267])).
% 1.43/1.48 tff(8454,plain,
% 1.43/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) | trans(s64, s64)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63)) | trans(s64, s64))),
% 1.43/1.49 inference(monotonicity,[status(thm)],[8453])).
% 1.43/1.49 tff(8455,plain,
% 1.43/1.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) | trans(s64, s64)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64))),
% 1.43/1.49 inference(transitivity,[status(thm)],[8454, 8266])).
% 1.43/1.49 tff(8456,axiom,((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) | trans(s64, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 1.43/1.49 tff(8457,plain,
% 1.43/1.49 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.49 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 1.43/1.49 tff(8458,plain,
% 1.43/1.49 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.49 inference(modus_ponens,[status(thm)],[8457, 8265])).
% 1.43/1.49 tff(8459,plain,
% 1.43/1.49 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.49 inference(modus_ponens,[status(thm)],[8458, 8265])).
% 1.43/1.49 tff(8460,plain,
% 1.43/1.49 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.49 inference(modus_ponens,[status(thm)],[8459, 8265])).
% 1.43/1.49 tff(8461,plain,
% 1.43/1.49 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8460, 8265])).
% 1.43/1.50 tff(8462,plain,
% 1.43/1.50 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8461, 8265])).
% 1.43/1.50 tff(8463,plain,
% 1.43/1.50 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8462, 8265])).
% 1.43/1.50 tff(8464,plain,
% 1.43/1.50 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8463, 8265])).
% 1.43/1.50 tff(8465,plain,
% 1.43/1.50 (trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8464, 8264])).
% 1.43/1.50 tff(8466,plain,
% 1.43/1.50 (trans(s64, s31)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8465, 8227, 8216, 8205, 8194, 8183, 8172, 8161, 8150, 8139, 8128, 8117, 8106, 8095, 8084, 8073, 8062, 8051, 8040, 8029, 8018, 8007, 7996, 7985, 7974, 7963, 7952, 7941, 7930, 7919, 7908, 7897, 7886, 7875, 7864, 7853, 7842, 7831, 7820, 7809, 7798, 7787, 7776, 7765, 7754, 7743, 7732, 7721, 7710, 7699, 7688, 7677, 7666, 7655, 7644, 7513, 7502, 7491, 7480, 7469, 7458, 7447, 7246, 7235, 7224])).
% 1.43/1.50 tff(8467,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s31) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s31) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s31)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8468,plain,
% 1.43/1.50 (((~trans(s64, s31)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s31)) <=> (until2p23(s31) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s31)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8469,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s31)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s31) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s31))))),
% 1.43/1.50 inference(monotonicity,[status(thm)],[8468])).
% 1.43/1.50 tff(8470,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s31)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s31) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s31)))),
% 1.43/1.50 inference(transitivity,[status(thm)],[8469, 8467])).
% 1.43/1.50 tff(8471,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s64, s31)) | (~last(s64)) | (~xuntil22(s64)) | until2p23(s31))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8472,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s31) | (~last(s64)) | (~xuntil22(s64)) | (~trans(s64, s31))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 1.43/1.50 tff(8473,plain,
% 1.43/1.50 ($false),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8472, 6843, 8466, 7212, 7202, 6833])).
% 1.43/1.50 tff(8474,plain,(node20(s64)), inference(lemma,lemma(discharge,[]))).
% 1.43/1.50 tff(8475,assumption,(node20(s64)), introduced(assumption)).
% 1.43/1.50 tff(8476,assumption,(~always19(s64)), introduced(assumption)).
% 1.43/1.50 tff(8477,plain,
% 1.43/1.50 ($false),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8262, 5449, 8476, 8475])).
% 1.43/1.50 tff(8478,plain,((~node20(s64)) | always19(s64)), inference(lemma,lemma(discharge,[]))).
% 1.43/1.50 tff(8479,plain,
% 1.43/1.50 (always19(s64)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8478, 8474])).
% 1.43/1.50 tff(8480,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s6) | (~trans(s64, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s6) | (~trans(s64, s6)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8481,plain,
% 1.43/1.50 (((~trans(s64, s6)) | (~always19(s64)) | always19(s6)) <=> ((~always19(s64)) | always19(s6) | (~trans(s64, s6)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8482,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s6)) | (~always19(s64)) | always19(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s6) | (~trans(s64, s6))))),
% 1.43/1.50 inference(monotonicity,[status(thm)],[8481])).
% 1.43/1.50 tff(8483,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s6)) | (~always19(s64)) | always19(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s6) | (~trans(s64, s6)))),
% 1.43/1.50 inference(transitivity,[status(thm)],[8482, 8480])).
% 1.43/1.50 tff(8484,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s6)) | (~always19(s64)) | always19(s6))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8485,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s6) | (~trans(s64, s6))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8484, 8483])).
% 1.43/1.50 tff(8486,plain,
% 1.43/1.50 ($false),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8485, 7844, 4084, 8479, 5889])).
% 1.43/1.50 tff(8487,plain,(~trans(s64, s6)), inference(lemma,lemma(discharge,[]))).
% 1.43/1.50 tff(8488,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s7, s8)) | (~always19(s7)) | always19(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s7, s8)) | (~always19(s7)) | always19(s8))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8489,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s7, s8)) | (~always19(s7)) | always19(s8))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8490,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s7, s8)) | (~always19(s7)) | always19(s8)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8489, 8488])).
% 1.43/1.50 tff(8491,plain,
% 1.43/1.50 ((~always19(s7)) | always19(s8)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8490, 4084, 1047])).
% 1.43/1.50 tff(8492,plain,
% 1.43/1.50 (~always19(s7)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8491, 5870])).
% 1.43/1.50 tff(8493,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s7) | (~trans(s64, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s7) | (~trans(s64, s7)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8494,plain,
% 1.43/1.50 (((~trans(s64, s7)) | (~always19(s64)) | always19(s7)) <=> ((~always19(s64)) | always19(s7) | (~trans(s64, s7)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8495,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s7)) | (~always19(s64)) | always19(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s7) | (~trans(s64, s7))))),
% 1.43/1.50 inference(monotonicity,[status(thm)],[8494])).
% 1.43/1.50 tff(8496,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s7)) | (~always19(s64)) | always19(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s7) | (~trans(s64, s7)))),
% 1.43/1.50 inference(transitivity,[status(thm)],[8495, 8493])).
% 1.43/1.50 tff(8497,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s7)) | (~always19(s64)) | always19(s7))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8498,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s7) | (~trans(s64, s7))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8497, 8496])).
% 1.43/1.50 tff(8499,plain,
% 1.43/1.50 ($false),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8498, 7855, 4084, 8479, 8492])).
% 1.43/1.50 tff(8500,plain,(~trans(s64, s7)), inference(lemma,lemma(discharge,[]))).
% 1.43/1.50 tff(8501,assumption,(node14(s64, s64)), introduced(assumption)).
% 1.43/1.50 tff(8502,plain,
% 1.43/1.50 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8503,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8504,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 1.43/1.50 tff(8505,plain,
% 1.43/1.50 (~node15(s61)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8504, 103, 5328])).
% 1.43/1.50 tff(8506,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8507,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8508,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8507, 8506])).
% 1.43/1.50 tff(8509,plain,
% 1.43/1.50 (node18(s61, s62)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8508, 125, 5339])).
% 1.43/1.50 tff(8510,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8511,plain,
% 1.43/1.50 (((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1)) <=> (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8512,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)))),
% 1.43/1.50 inference(monotonicity,[status(thm)],[8511])).
% 1.43/1.50 tff(8513,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 1.43/1.50 inference(transitivity,[status(thm)],[8512, 8510])).
% 1.43/1.50 tff(8514,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8515,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8514, 8513])).
% 1.43/1.50 tff(8516,plain,
% 1.43/1.50 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8515, 992, 8509])).
% 1.43/1.50 tff(8517,plain,
% 1.43/1.50 (m_main_v_turn(s62, c_1)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8516, 8505, 5256, 5324])).
% 1.43/1.50 tff(8518,plain,
% 1.43/1.50 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8519,plain,
% 1.43/1.50 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8520,plain,
% 1.43/1.50 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8519, 8518])).
% 1.43/1.50 tff(8521,plain,
% 1.43/1.50 (~m_main_v_turn(s62, c_2)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8520, 156, 8517])).
% 1.43/1.50 tff(8522,plain,
% 1.43/1.50 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8523,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8524,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 1.43/1.50 tff(8525,plain,
% 1.43/1.50 (~node12(s62)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8524, 184, 8521])).
% 1.43/1.50 tff(8526,plain,
% 1.43/1.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8527,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8528,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 1.43/1.50 tff(8529,plain,
% 1.43/1.50 (~node8(s62)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8528, 271, 5372])).
% 1.43/1.50 tff(8530,plain,
% 1.43/1.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8531,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8532,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 1.43/1.50 tff(8533,plain,
% 1.43/1.50 (~node9(s62)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8532, 88, 5372])).
% 1.43/1.50 tff(8534,plain,
% 1.43/1.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8535,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8536,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8535, 8534])).
% 1.43/1.50 tff(8537,plain,
% 1.43/1.50 (~node10(s62)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8536, 249, 5372])).
% 1.43/1.50 tff(8538,plain,
% 1.43/1.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8539,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8540,plain,
% 1.43/1.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 1.43/1.50 tff(8541,plain,
% 1.43/1.50 (~node11(s62)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8540, 238, 5392])).
% 1.43/1.50 tff(8542,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8543,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8544,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8543, 8542])).
% 1.43/1.50 tff(8545,plain,
% 1.43/1.50 (node14(s62, s63)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8544, 46, 5403])).
% 1.43/1.50 tff(8546,plain,
% 1.43/1.50 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8547,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 1.43/1.50 inference(quant_inst,[status(thm)],[])).
% 1.43/1.50 tff(8548,plain,
% 1.43/1.50 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63))),
% 1.43/1.50 inference(modus_ponens,[status(thm)],[8547, 8546])).
% 1.43/1.50 tff(8549,plain,
% 1.43/1.50 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8548, 296, 8545])).
% 1.43/1.50 tff(8550,plain,
% 1.43/1.50 (node13(s62, s63)),
% 1.43/1.50 inference(unit_resolution,[status(thm)],[8549, 8541, 5380, 8537, 8533, 8529, 8525])).
% 1.43/1.50 tff(8551,plain,
% 1.43/1.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8552,plain,
% 1.43/1.50 (((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2))) <=> (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 1.43/1.50 inference(rewrite,[status(thm)],[])).
% 1.43/1.50 tff(8553,plain,
% 1.43/1.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))))),
% 1.43/1.50 inference(monotonicity,[status(thm)],[8552])).
% 1.43/1.50 tff(8554,plain,
% 1.43/1.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 1.43/1.50 inference(transitivity,[status(thm)],[8553, 8551])).
% 1.43/1.51 tff(8555,plain,
% 1.43/1.51 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8556,plain,
% 1.43/1.51 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8555, 8554])).
% 1.43/1.51 tff(8557,plain,
% 1.43/1.51 (~m_main_v_state2(s63, c_n2)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8556, 311, 5372, 8550])).
% 1.43/1.51 tff(8558,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8559,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8560,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8559, 8558])).
% 1.43/1.51 tff(8561,plain,
% 1.43/1.51 (~node9(s63)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8560, 88, 8557])).
% 1.43/1.51 tff(8562,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8563,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8564,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8563, 8562])).
% 1.43/1.51 tff(8565,plain,
% 1.43/1.51 (~node10(s63)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8564, 249, 8557])).
% 1.43/1.51 tff(8566,plain,
% 1.43/1.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8567,plain,
% 1.43/1.51 (((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2)) <=> ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8568,plain,
% 1.43/1.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))))),
% 1.43/1.51 inference(monotonicity,[status(thm)],[8567])).
% 1.43/1.51 tff(8569,plain,
% 1.43/1.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 1.43/1.51 inference(transitivity,[status(thm)],[8568, 8566])).
% 1.43/1.51 tff(8570,plain,
% 1.43/1.51 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8571,plain,
% 1.43/1.51 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 1.43/1.51 tff(8572,plain,
% 1.43/1.51 (m_main_v_state2(s63, c_t2)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8571, 518, 5368, 8550])).
% 1.43/1.51 tff(8573,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8574,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8575,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 1.43/1.51 tff(8576,plain,
% 1.43/1.51 (~node8(s63)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8575, 271, 8557])).
% 1.43/1.51 tff(8577,plain,
% 1.43/1.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8578,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8579,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 1.43/1.51 tff(8580,plain,
% 1.43/1.51 (trans(s63, s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8579, 6820, 32])).
% 1.43/1.51 tff(8581,plain,
% 1.43/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8582,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8583,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 1.43/1.51 tff(8584,plain,
% 1.43/1.51 (node14(s63, s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8583, 46, 8580])).
% 1.43/1.51 tff(8585,plain,
% 1.43/1.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8586,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8587,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2)),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 1.43/1.51 tff(8588,plain,
% 1.43/1.51 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | m_main_v_state2(s64, c_c2)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8587, 617, 8584])).
% 1.43/1.51 tff(8589,plain,
% 1.43/1.51 (m_main_v_state2(s64, c_c2)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8588, 8576, 5415, 8572, 8565, 8561])).
% 1.43/1.51 tff(8590,plain,
% 1.43/1.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_c2)) | (~m_main_v_state2(s64, c_n2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_c2)) | (~m_main_v_state2(s64, c_n2)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8591,plain,
% 1.43/1.51 (((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2))) <=> ((~m_main_v_state2(s64, c_c2)) | (~m_main_v_state2(s64, c_n2)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8592,plain,
% 1.43/1.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_c2)) | (~m_main_v_state2(s64, c_n2))))),
% 1.43/1.51 inference(monotonicity,[status(thm)],[8591])).
% 1.43/1.51 tff(8593,plain,
% 1.43/1.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_c2)) | (~m_main_v_state2(s64, c_n2)))),
% 1.43/1.51 inference(transitivity,[status(thm)],[8592, 8590])).
% 1.43/1.51 tff(8594,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8595,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_c2)) | (~m_main_v_state2(s64, c_n2))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 1.43/1.51 tff(8596,plain,
% 1.43/1.51 (~m_main_v_state2(s64, c_n2)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8595, 697, 8589])).
% 1.43/1.51 tff(8597,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8598,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8599,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8598, 8597])).
% 1.43/1.51 tff(8600,plain,
% 1.43/1.51 (~node8(s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8599, 271, 8596])).
% 1.43/1.51 tff(8601,plain,
% 1.43/1.51 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8602,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8603,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8602, 8601])).
% 1.43/1.51 tff(8604,plain,
% 1.43/1.51 (~m_main_v_state2(s64, c_t2)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8603, 260, 8589])).
% 1.43/1.51 tff(8605,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8606,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8607,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 1.43/1.51 tff(8608,plain,
% 1.43/1.51 (~node12(s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8607, 633, 8604])).
% 1.43/1.51 tff(8609,plain,
% 1.43/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8610,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8611,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64)),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 1.43/1.51 tff(8612,plain,
% 1.43/1.51 (node7(s63, s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8611, 206, 8580])).
% 1.43/1.51 tff(8613,plain,
% 1.43/1.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8614,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8615,plain,
% 1.43/1.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1)),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 1.43/1.51 tff(8616,plain,
% 1.43/1.51 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_state1(s64, c_t1)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8615, 651, 8612])).
% 1.43/1.51 tff(8617,plain,
% 1.43/1.51 (m_main_v_state1(s64, c_t1)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8616, 8572, 5415])).
% 1.43/1.51 tff(8618,plain,
% 1.43/1.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8619,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8620,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 1.43/1.51 tff(8621,plain,
% 1.43/1.51 (~m_main_v_state1(s64, c_n1)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8620, 10, 8617])).
% 1.43/1.51 tff(8622,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8623,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8624,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 1.43/1.51 tff(8625,plain,
% 1.43/1.51 (~node9(s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8624, 686, 8621])).
% 1.43/1.51 tff(8626,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8627,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8628,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 1.43/1.51 tff(8629,plain,
% 1.43/1.51 (~node11(s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8628, 238, 8621])).
% 1.43/1.51 tff(8630,plain,
% 1.43/1.51 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8631,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8632,plain,
% 1.43/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8631, 8630])).
% 1.43/1.51 tff(8633,plain,
% 1.43/1.51 (~m_main_v_state1(s64, c_c1)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8632, 539, 8617])).
% 1.43/1.51 tff(8634,plain,
% 1.43/1.51 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8635,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 1.43/1.51 inference(quant_inst,[status(thm)],[])).
% 1.43/1.51 tff(8636,plain,
% 1.43/1.51 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64))),
% 1.43/1.51 inference(modus_ponens,[status(thm)],[8635, 8634])).
% 1.43/1.51 tff(8637,plain,
% 1.43/1.51 (~node10(s64)),
% 1.43/1.51 inference(unit_resolution,[status(thm)],[8636, 675, 8633])).
% 1.43/1.51 tff(8638,plain,
% 1.43/1.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s64, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s64)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s64, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s64)))),
% 1.43/1.51 inference(rewrite,[status(thm)],[])).
% 1.43/1.51 tff(8639,plain,
% 1.43/1.51 (((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s64)) | m_main_v_state2(s64, c_n2)) <=> (m_main_v_state2(s64, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s64)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8640,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s64)) | m_main_v_state2(s64, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s64, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s64))))),
% 1.49/1.51 inference(monotonicity,[status(thm)],[8639])).
% 1.49/1.51 tff(8641,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s64)) | m_main_v_state2(s64, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s64, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s64)))),
% 1.49/1.51 inference(transitivity,[status(thm)],[8640, 8638])).
% 1.49/1.51 tff(8642,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s64)) | m_main_v_state2(s64, c_n2))),
% 1.49/1.51 inference(quant_inst,[status(thm)],[])).
% 1.49/1.51 tff(8643,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s64, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s64))),
% 1.49/1.51 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 1.49/1.51 tff(8644,plain,
% 1.49/1.51 ($false),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8643, 726, 8596, 8589, 8637, 8629, 8625, 8608, 8600, 8501])).
% 1.49/1.51 tff(8645,plain,(~node14(s64, s64)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.51 tff(8646,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s64)) | node14(s64, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s64)) | node14(s64, s64))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8647,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s64)) | node14(s64, s64))),
% 1.49/1.51 inference(quant_inst,[status(thm)],[])).
% 1.49/1.51 tff(8648,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s64)) | node14(s64, s64)),
% 1.49/1.51 inference(modus_ponens,[status(thm)],[8647, 8646])).
% 1.49/1.51 tff(8649,plain,
% 1.49/1.51 (~trans(s64, s64)),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8648, 46, 8645])).
% 1.49/1.51 tff(8650,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s62) | (~trans(s64, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s62) | (~trans(s64, s62)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8651,plain,
% 1.49/1.51 (((~trans(s64, s62)) | (~always19(s64)) | always19(s62)) <=> ((~always19(s64)) | always19(s62) | (~trans(s64, s62)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8652,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s62)) | (~always19(s64)) | always19(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s62) | (~trans(s64, s62))))),
% 1.49/1.51 inference(monotonicity,[status(thm)],[8651])).
% 1.49/1.51 tff(8653,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s62)) | (~always19(s64)) | always19(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s62) | (~trans(s64, s62)))),
% 1.49/1.51 inference(transitivity,[status(thm)],[8652, 8650])).
% 1.49/1.51 tff(8654,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s62)) | (~always19(s64)) | always19(s62))),
% 1.49/1.51 inference(quant_inst,[status(thm)],[])).
% 1.49/1.51 tff(8655,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s62) | (~trans(s64, s62))),
% 1.49/1.51 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 1.49/1.51 tff(8656,plain,
% 1.49/1.51 ($false),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8655, 7866, 4084, 8479, 5437])).
% 1.49/1.51 tff(8657,plain,(~trans(s64, s62)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.51 tff(8658,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s4) | (~trans(s64, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s4) | (~trans(s64, s4)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8659,plain,
% 1.49/1.51 (((~trans(s64, s4)) | (~always19(s64)) | always19(s4)) <=> ((~always19(s64)) | always19(s4) | (~trans(s64, s4)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8660,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s4)) | (~always19(s64)) | always19(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s4) | (~trans(s64, s4))))),
% 1.49/1.51 inference(monotonicity,[status(thm)],[8659])).
% 1.49/1.51 tff(8661,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s4)) | (~always19(s64)) | always19(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s4) | (~trans(s64, s4)))),
% 1.49/1.51 inference(transitivity,[status(thm)],[8660, 8658])).
% 1.49/1.51 tff(8662,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s4)) | (~always19(s64)) | always19(s4))),
% 1.49/1.51 inference(quant_inst,[status(thm)],[])).
% 1.49/1.51 tff(8663,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s4) | (~trans(s64, s4))),
% 1.49/1.51 inference(modus_ponens,[status(thm)],[8662, 8661])).
% 1.49/1.51 tff(8664,plain,
% 1.49/1.51 ($false),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8663, 7877, 4084, 8479, 5903])).
% 1.49/1.51 tff(8665,plain,(~trans(s64, s4)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.51 tff(8666,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s36) | (~trans(s64, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s36) | (~trans(s64, s36)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8667,plain,
% 1.49/1.51 (((~trans(s64, s36)) | (~always19(s64)) | always19(s36)) <=> ((~always19(s64)) | always19(s36) | (~trans(s64, s36)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8668,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s36)) | (~always19(s64)) | always19(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s36) | (~trans(s64, s36))))),
% 1.49/1.51 inference(monotonicity,[status(thm)],[8667])).
% 1.49/1.51 tff(8669,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s36)) | (~always19(s64)) | always19(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s36) | (~trans(s64, s36)))),
% 1.49/1.51 inference(transitivity,[status(thm)],[8668, 8666])).
% 1.49/1.51 tff(8670,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s36)) | (~always19(s64)) | always19(s36))),
% 1.49/1.51 inference(quant_inst,[status(thm)],[])).
% 1.49/1.51 tff(8671,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s36) | (~trans(s64, s36))),
% 1.49/1.51 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 1.49/1.51 tff(8672,plain,
% 1.49/1.51 ($false),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8671, 7888, 4084, 8479, 5639])).
% 1.49/1.51 tff(8673,plain,(~trans(s64, s36)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.51 tff(8674,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s39, s40)) | (~always19(s39)) | always19(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s39, s40)) | (~always19(s39)) | always19(s40))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8675,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s39, s40)) | (~always19(s39)) | always19(s40))),
% 1.49/1.51 inference(quant_inst,[status(thm)],[])).
% 1.49/1.51 tff(8676,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s39, s40)) | (~always19(s39)) | always19(s40)),
% 1.49/1.51 inference(modus_ponens,[status(thm)],[8675, 8674])).
% 1.49/1.51 tff(8677,plain,
% 1.49/1.51 ((~always19(s39)) | always19(s40)),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8676, 4084, 3559])).
% 1.49/1.51 tff(8678,plain,
% 1.49/1.51 (~always19(s39)),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8677, 5606])).
% 1.49/1.51 tff(8679,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s39) | (~trans(s64, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s39) | (~trans(s64, s39)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8680,plain,
% 1.49/1.51 (((~trans(s64, s39)) | (~always19(s64)) | always19(s39)) <=> ((~always19(s64)) | always19(s39) | (~trans(s64, s39)))),
% 1.49/1.51 inference(rewrite,[status(thm)],[])).
% 1.49/1.51 tff(8681,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s39)) | (~always19(s64)) | always19(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s39) | (~trans(s64, s39))))),
% 1.49/1.51 inference(monotonicity,[status(thm)],[8680])).
% 1.49/1.51 tff(8682,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s39)) | (~always19(s64)) | always19(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s39) | (~trans(s64, s39)))),
% 1.49/1.51 inference(transitivity,[status(thm)],[8681, 8679])).
% 1.49/1.51 tff(8683,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s39)) | (~always19(s64)) | always19(s39))),
% 1.49/1.51 inference(quant_inst,[status(thm)],[])).
% 1.49/1.51 tff(8684,plain,
% 1.49/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s39) | (~trans(s64, s39))),
% 1.49/1.51 inference(modus_ponens,[status(thm)],[8683, 8682])).
% 1.49/1.51 tff(8685,plain,
% 1.49/1.51 ($false),
% 1.49/1.51 inference(unit_resolution,[status(thm)],[8684, 7899, 4084, 8479, 8678])).
% 1.49/1.51 tff(8686,plain,(~trans(s64, s39)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.51 tff(8687,plain,
% 1.49/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s43, s44)) | (~always19(s43)) | always19(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s43, s44)) | (~always19(s43)) | always19(s44))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8688,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s43, s44)) | (~always19(s43)) | always19(s44))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8689,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s43, s44)) | (~always19(s43)) | always19(s44)),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8688, 8687])).
% 1.49/1.52 tff(8690,plain,
% 1.49/1.52 ((~always19(s43)) | always19(s44)),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8689, 4084, 3892])).
% 1.49/1.52 tff(8691,plain,
% 1.49/1.52 (~always19(s43)),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8690, 4094])).
% 1.49/1.52 tff(8692,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s43) | (~trans(s64, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s43) | (~trans(s64, s43)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8693,plain,
% 1.49/1.52 (((~trans(s64, s43)) | (~always19(s64)) | always19(s43)) <=> ((~always19(s64)) | always19(s43) | (~trans(s64, s43)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8694,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s43)) | (~always19(s64)) | always19(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s43) | (~trans(s64, s43))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8693])).
% 1.49/1.52 tff(8695,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s43)) | (~always19(s64)) | always19(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s43) | (~trans(s64, s43)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8694, 8692])).
% 1.49/1.52 tff(8696,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s43)) | (~always19(s64)) | always19(s43))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8697,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s43) | (~trans(s64, s43))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8696, 8695])).
% 1.49/1.52 tff(8698,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8697, 7910, 4084, 8479, 8691])).
% 1.49/1.52 tff(8699,plain,(~trans(s64, s43)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8700,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s33) | (~trans(s64, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s33) | (~trans(s64, s33)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8701,plain,
% 1.49/1.52 (((~trans(s64, s33)) | (~always19(s64)) | always19(s33)) <=> ((~always19(s64)) | always19(s33) | (~trans(s64, s33)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8702,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s33)) | (~always19(s64)) | always19(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s33) | (~trans(s64, s33))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8701])).
% 1.49/1.52 tff(8703,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s33)) | (~always19(s64)) | always19(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s33) | (~trans(s64, s33)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8702, 8700])).
% 1.49/1.52 tff(8704,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s33)) | (~always19(s64)) | always19(s33))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8705,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s33) | (~trans(s64, s33))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 1.49/1.52 tff(8706,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8705, 7921, 4084, 8479, 5663])).
% 1.49/1.52 tff(8707,plain,(~trans(s64, s33)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8708,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s60) | (~trans(s64, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s60) | (~trans(s64, s60)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8709,plain,
% 1.49/1.52 (((~trans(s64, s60)) | (~always19(s64)) | always19(s60)) <=> ((~always19(s64)) | always19(s60) | (~trans(s64, s60)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8710,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s60)) | (~always19(s64)) | always19(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s60) | (~trans(s64, s60))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8709])).
% 1.49/1.52 tff(8711,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s60)) | (~always19(s64)) | always19(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s60) | (~trans(s64, s60)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8710, 8708])).
% 1.49/1.52 tff(8712,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s60)) | (~always19(s64)) | always19(s60))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8713,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s60) | (~trans(s64, s60))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 1.49/1.52 tff(8714,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8713, 7932, 4084, 8479, 5458])).
% 1.49/1.52 tff(8715,plain,(~trans(s64, s60)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8716,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s48) | (~trans(s64, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s48) | (~trans(s64, s48)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8717,plain,
% 1.49/1.52 (((~trans(s64, s48)) | (~always19(s64)) | always19(s48)) <=> ((~always19(s64)) | always19(s48) | (~trans(s64, s48)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8718,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s48)) | (~always19(s64)) | always19(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s48) | (~trans(s64, s48))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8717])).
% 1.49/1.52 tff(8719,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s48)) | (~always19(s64)) | always19(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s48) | (~trans(s64, s48)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8718, 8716])).
% 1.49/1.52 tff(8720,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s48)) | (~always19(s64)) | always19(s48))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8721,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s48) | (~trans(s64, s48))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 1.49/1.52 tff(8722,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8721, 7943, 4084, 8479, 5557])).
% 1.49/1.52 tff(8723,plain,(~trans(s64, s48)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8724,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s17) | (~trans(s64, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s17) | (~trans(s64, s17)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8725,plain,
% 1.49/1.52 (((~trans(s64, s17)) | (~always19(s64)) | always19(s17)) <=> ((~always19(s64)) | always19(s17) | (~trans(s64, s17)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8726,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s17)) | (~always19(s64)) | always19(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s17) | (~trans(s64, s17))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8725])).
% 1.49/1.52 tff(8727,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s17)) | (~always19(s64)) | always19(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s17) | (~trans(s64, s17)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8726, 8724])).
% 1.49/1.52 tff(8728,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s17)) | (~always19(s64)) | always19(s17))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8729,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s17) | (~trans(s64, s17))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8728, 8727])).
% 1.49/1.52 tff(8730,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8729, 7954, 4084, 8479, 5795])).
% 1.49/1.52 tff(8731,plain,(~trans(s64, s17)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8732,assumption,(node14(s64, s63)), introduced(assumption)).
% 1.49/1.52 tff(8733,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s63, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s63)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s63, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s63)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8734,plain,
% 1.49/1.52 (((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s63)) | m_main_v_state2(s63, c_n2)) <=> (m_main_v_state2(s63, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s63)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8735,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s63)) | m_main_v_state2(s63, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s63, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s63))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8734])).
% 1.49/1.52 tff(8736,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s63)) | m_main_v_state2(s63, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s63, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s63)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8735, 8733])).
% 1.49/1.52 tff(8737,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s63)) | m_main_v_state2(s63, c_n2))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8738,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s63, c_n2) | node10(s64) | node11(s64) | node9(s64) | (~m_main_v_state2(s64, c_c2)) | node12(s64) | node8(s64) | (~node14(s64, s63))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 1.49/1.52 tff(8739,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8738, 726, 8557, 8589, 8637, 8629, 8625, 8608, 8600, 8732])).
% 1.49/1.52 tff(8740,plain,(~node14(s64, s63)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8741,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s63)) | node14(s64, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s63)) | node14(s64, s63))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8742,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s63)) | node14(s64, s63))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8743,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s63)) | node14(s64, s63)),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8742, 8741])).
% 1.49/1.52 tff(8744,plain,
% 1.49/1.52 (~trans(s64, s63)),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8743, 46, 8740])).
% 1.49/1.52 tff(8745,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s56) | (~trans(s64, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s56) | (~trans(s64, s56)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8746,plain,
% 1.49/1.52 (((~trans(s64, s56)) | (~always19(s64)) | always19(s56)) <=> ((~always19(s64)) | always19(s56) | (~trans(s64, s56)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8747,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s56)) | (~always19(s64)) | always19(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s56) | (~trans(s64, s56))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8746])).
% 1.49/1.52 tff(8748,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s56)) | (~always19(s64)) | always19(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s56) | (~trans(s64, s56)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8747, 8745])).
% 1.49/1.52 tff(8749,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s56)) | (~always19(s64)) | always19(s56))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8750,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s56) | (~trans(s64, s56))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 1.49/1.52 tff(8751,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8750, 7976, 4084, 8479, 5491])).
% 1.49/1.52 tff(8752,plain,(~trans(s64, s56)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8753,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s28) | (~trans(s64, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s28) | (~trans(s64, s28)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8754,plain,
% 1.49/1.52 (((~trans(s64, s28)) | (~always19(s64)) | always19(s28)) <=> ((~always19(s64)) | always19(s28) | (~trans(s64, s28)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8755,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s28)) | (~always19(s64)) | always19(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s28) | (~trans(s64, s28))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8754])).
% 1.49/1.52 tff(8756,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s28)) | (~always19(s64)) | always19(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s28) | (~trans(s64, s28)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8755, 8753])).
% 1.49/1.52 tff(8757,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s28)) | (~always19(s64)) | always19(s28))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8758,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s28) | (~trans(s64, s28))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8757, 8756])).
% 1.49/1.52 tff(8759,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8758, 7987, 4084, 8479, 5705])).
% 1.49/1.52 tff(8760,plain,(~trans(s64, s28)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8761,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s32) | (~trans(s64, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s32) | (~trans(s64, s32)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8762,plain,
% 1.49/1.52 (((~trans(s64, s32)) | (~always19(s64)) | always19(s32)) <=> ((~always19(s64)) | always19(s32) | (~trans(s64, s32)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8763,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s32)) | (~always19(s64)) | always19(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s32) | (~trans(s64, s32))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8762])).
% 1.49/1.52 tff(8764,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s32)) | (~always19(s64)) | always19(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s32) | (~trans(s64, s32)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8763, 8761])).
% 1.49/1.52 tff(8765,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s32)) | (~always19(s64)) | always19(s32))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8766,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s32) | (~trans(s64, s32))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 1.49/1.52 tff(8767,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8766, 7998, 4084, 8479, 5672])).
% 1.49/1.52 tff(8768,plain,(~trans(s64, s32)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8769,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s30) | (~trans(s64, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s30) | (~trans(s64, s30)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8770,plain,
% 1.49/1.52 (((~trans(s64, s30)) | (~always19(s64)) | always19(s30)) <=> ((~always19(s64)) | always19(s30) | (~trans(s64, s30)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8771,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s30)) | (~always19(s64)) | always19(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s30) | (~trans(s64, s30))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8770])).
% 1.49/1.52 tff(8772,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s30)) | (~always19(s64)) | always19(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s30) | (~trans(s64, s30)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8771, 8769])).
% 1.49/1.52 tff(8773,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s30)) | (~always19(s64)) | always19(s30))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8774,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s30) | (~trans(s64, s30))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 1.49/1.52 tff(8775,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8774, 8009, 4084, 8479, 5691])).
% 1.49/1.52 tff(8776,plain,(~trans(s64, s30)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8777,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s52) | (~trans(s64, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s52) | (~trans(s64, s52)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8778,plain,
% 1.49/1.52 (((~trans(s64, s52)) | (~always19(s64)) | always19(s52)) <=> ((~always19(s64)) | always19(s52) | (~trans(s64, s52)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8779,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s52)) | (~always19(s64)) | always19(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s52) | (~trans(s64, s52))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8778])).
% 1.49/1.52 tff(8780,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s52)) | (~always19(s64)) | always19(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s52) | (~trans(s64, s52)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8779, 8777])).
% 1.49/1.52 tff(8781,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s52)) | (~always19(s64)) | always19(s52))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8782,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s52) | (~trans(s64, s52))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8781, 8780])).
% 1.49/1.52 tff(8783,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8782, 8020, 4084, 8479, 5524])).
% 1.49/1.52 tff(8784,plain,(~trans(s64, s52)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8785,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s46) | (~trans(s64, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s46) | (~trans(s64, s46)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8786,plain,
% 1.49/1.52 (((~trans(s64, s46)) | (~always19(s64)) | always19(s46)) <=> ((~always19(s64)) | always19(s46) | (~trans(s64, s46)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8787,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s46)) | (~always19(s64)) | always19(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s46) | (~trans(s64, s46))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8786])).
% 1.49/1.52 tff(8788,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s46)) | (~always19(s64)) | always19(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s46) | (~trans(s64, s46)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8787, 8785])).
% 1.49/1.52 tff(8789,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s46)) | (~always19(s64)) | always19(s46))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8790,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s46) | (~trans(s64, s46))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 1.49/1.52 tff(8791,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8790, 8031, 4084, 8479, 4074])).
% 1.49/1.52 tff(8792,plain,(~trans(s64, s46)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8793,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s49) | (~trans(s64, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s49) | (~trans(s64, s49)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8794,plain,
% 1.49/1.52 (((~trans(s64, s49)) | (~always19(s64)) | always19(s49)) <=> ((~always19(s64)) | always19(s49) | (~trans(s64, s49)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8795,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s49)) | (~always19(s64)) | always19(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s49) | (~trans(s64, s49))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8794])).
% 1.49/1.52 tff(8796,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s49)) | (~always19(s64)) | always19(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s49) | (~trans(s64, s49)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8795, 8793])).
% 1.49/1.52 tff(8797,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s49)) | (~always19(s64)) | always19(s49))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8798,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s49) | (~trans(s64, s49))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 1.49/1.52 tff(8799,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8798, 8042, 4084, 8479, 5548])).
% 1.49/1.52 tff(8800,plain,(~trans(s64, s49)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8801,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s51, s52)) | (~always19(s51)) | always19(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s51, s52)) | (~always19(s51)) | always19(s52))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8802,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s51, s52)) | (~always19(s51)) | always19(s52))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8803,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s51, s52)) | (~always19(s51)) | always19(s52)),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8802, 8801])).
% 1.49/1.52 tff(8804,plain,
% 1.49/1.52 ((~always19(s51)) | always19(s52)),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8803, 4084, 4555])).
% 1.49/1.52 tff(8805,plain,
% 1.49/1.52 (~always19(s51)),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8804, 5524])).
% 1.49/1.52 tff(8806,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s51) | (~trans(s64, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s51) | (~trans(s64, s51)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8807,plain,
% 1.49/1.52 (((~trans(s64, s51)) | (~always19(s64)) | always19(s51)) <=> ((~always19(s64)) | always19(s51) | (~trans(s64, s51)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8808,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s51)) | (~always19(s64)) | always19(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s51) | (~trans(s64, s51))))),
% 1.49/1.52 inference(monotonicity,[status(thm)],[8807])).
% 1.49/1.52 tff(8809,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s51)) | (~always19(s64)) | always19(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s51) | (~trans(s64, s51)))),
% 1.49/1.52 inference(transitivity,[status(thm)],[8808, 8806])).
% 1.49/1.52 tff(8810,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s51)) | (~always19(s64)) | always19(s51))),
% 1.49/1.52 inference(quant_inst,[status(thm)],[])).
% 1.49/1.52 tff(8811,plain,
% 1.49/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s51) | (~trans(s64, s51))),
% 1.49/1.52 inference(modus_ponens,[status(thm)],[8810, 8809])).
% 1.49/1.52 tff(8812,plain,
% 1.49/1.52 ($false),
% 1.49/1.52 inference(unit_resolution,[status(thm)],[8811, 8053, 4084, 8479, 8805])).
% 1.49/1.52 tff(8813,plain,(~trans(s64, s51)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.52 tff(8814,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s40) | (~trans(s64, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s40) | (~trans(s64, s40)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8815,plain,
% 1.49/1.52 (((~trans(s64, s40)) | (~always19(s64)) | always19(s40)) <=> ((~always19(s64)) | always19(s40) | (~trans(s64, s40)))),
% 1.49/1.52 inference(rewrite,[status(thm)],[])).
% 1.49/1.52 tff(8816,plain,
% 1.49/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s40)) | (~always19(s64)) | always19(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s40) | (~trans(s64, s40))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8815])).
% 1.49/1.53 tff(8817,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s40)) | (~always19(s64)) | always19(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s40) | (~trans(s64, s40)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8816, 8814])).
% 1.49/1.53 tff(8818,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s40)) | (~always19(s64)) | always19(s40))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8819,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s40) | (~trans(s64, s40))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 1.49/1.53 tff(8820,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8819, 8064, 4084, 8479, 5606])).
% 1.49/1.53 tff(8821,plain,(~trans(s64, s40)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8822,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s19, s20)) | (~always19(s19)) | always19(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s19, s20)) | (~always19(s19)) | always19(s20))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8823,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s19, s20)) | (~always19(s19)) | always19(s20))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8824,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s19, s20)) | (~always19(s19)) | always19(s20)),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 1.49/1.53 tff(8825,plain,
% 1.49/1.53 ((~always19(s19)) | always19(s20)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8824, 4084, 2008])).
% 1.49/1.53 tff(8826,plain,
% 1.49/1.53 (~always19(s19)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8825, 5771])).
% 1.49/1.53 tff(8827,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s19) | (~trans(s64, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s19) | (~trans(s64, s19)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8828,plain,
% 1.49/1.53 (((~trans(s64, s19)) | (~always19(s64)) | always19(s19)) <=> ((~always19(s64)) | always19(s19) | (~trans(s64, s19)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8829,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s19)) | (~always19(s64)) | always19(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s19) | (~trans(s64, s19))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8828])).
% 1.49/1.53 tff(8830,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s19)) | (~always19(s64)) | always19(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s19) | (~trans(s64, s19)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8829, 8827])).
% 1.49/1.53 tff(8831,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s19)) | (~always19(s64)) | always19(s19))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8832,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s19) | (~trans(s64, s19))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 1.49/1.53 tff(8833,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8832, 8075, 4084, 8479, 8826])).
% 1.49/1.53 tff(8834,plain,(~trans(s64, s19)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8835,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s16) | (~trans(s64, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s16) | (~trans(s64, s16)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8836,plain,
% 1.49/1.53 (((~trans(s64, s16)) | (~always19(s64)) | always19(s16)) <=> ((~always19(s64)) | always19(s16) | (~trans(s64, s16)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8837,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s16)) | (~always19(s64)) | always19(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s16) | (~trans(s64, s16))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8836])).
% 1.49/1.53 tff(8838,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s16)) | (~always19(s64)) | always19(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s16) | (~trans(s64, s16)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8837, 8835])).
% 1.49/1.53 tff(8839,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s16)) | (~always19(s64)) | always19(s16))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8840,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s16) | (~trans(s64, s16))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8839, 8838])).
% 1.49/1.53 tff(8841,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8840, 8086, 4084, 8479, 5804])).
% 1.49/1.53 tff(8842,plain,(~trans(s64, s16)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8843,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s59, s60)) | (~always19(s59)) | always19(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s59, s60)) | (~always19(s59)) | always19(s60))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8844,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s59, s60)) | (~always19(s59)) | always19(s60))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8845,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s59, s60)) | (~always19(s59)) | always19(s60)),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 1.49/1.53 tff(8846,plain,
% 1.49/1.53 ((~always19(s59)) | always19(s60)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8845, 4084, 5183])).
% 1.49/1.53 tff(8847,plain,
% 1.49/1.53 (~always19(s59)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8846, 5458])).
% 1.49/1.53 tff(8848,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s59) | (~trans(s64, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s59) | (~trans(s64, s59)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8849,plain,
% 1.49/1.53 (((~trans(s64, s59)) | (~always19(s64)) | always19(s59)) <=> ((~always19(s64)) | always19(s59) | (~trans(s64, s59)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8850,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s59)) | (~always19(s64)) | always19(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s59) | (~trans(s64, s59))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8849])).
% 1.49/1.53 tff(8851,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s59)) | (~always19(s64)) | always19(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s59) | (~trans(s64, s59)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8850, 8848])).
% 1.49/1.53 tff(8852,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s59)) | (~always19(s64)) | always19(s59))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8853,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s59) | (~trans(s64, s59))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 1.49/1.53 tff(8854,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8853, 8097, 4084, 8479, 8847])).
% 1.49/1.53 tff(8855,plain,(~trans(s64, s59)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8856,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s1) | (~trans(s64, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s1) | (~trans(s64, s1)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8857,plain,
% 1.49/1.53 (((~trans(s64, s1)) | (~always19(s64)) | always19(s1)) <=> ((~always19(s64)) | always19(s1) | (~trans(s64, s1)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8858,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s1)) | (~always19(s64)) | always19(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s1) | (~trans(s64, s1))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8857])).
% 1.49/1.53 tff(8859,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s1)) | (~always19(s64)) | always19(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s1) | (~trans(s64, s1)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8858, 8856])).
% 1.49/1.53 tff(8860,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s1)) | (~always19(s64)) | always19(s1))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8861,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s1) | (~trans(s64, s1))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 1.49/1.53 tff(8862,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8861, 8108, 4084, 8479, 5931])).
% 1.49/1.53 tff(8863,plain,(~trans(s64, s1)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8864,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s14) | (~trans(s64, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s14) | (~trans(s64, s14)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8865,plain,
% 1.49/1.53 (((~trans(s64, s14)) | (~always19(s64)) | always19(s14)) <=> ((~always19(s64)) | always19(s14) | (~trans(s64, s14)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8866,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s14)) | (~always19(s64)) | always19(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s14) | (~trans(s64, s14))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8865])).
% 1.49/1.53 tff(8867,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s14)) | (~always19(s64)) | always19(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s14) | (~trans(s64, s14)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8866, 8864])).
% 1.49/1.53 tff(8868,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s14)) | (~always19(s64)) | always19(s14))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8869,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s14) | (~trans(s64, s14))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8868, 8867])).
% 1.49/1.53 tff(8870,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8869, 8119, 4084, 8479, 5823])).
% 1.49/1.53 tff(8871,plain,(~trans(s64, s14)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8872,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s34) | (~trans(s64, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s34) | (~trans(s64, s34)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8873,plain,
% 1.49/1.53 (((~trans(s64, s34)) | (~always19(s64)) | always19(s34)) <=> ((~always19(s64)) | always19(s34) | (~trans(s64, s34)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8874,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s34)) | (~always19(s64)) | always19(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s34) | (~trans(s64, s34))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8873])).
% 1.49/1.53 tff(8875,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s34)) | (~always19(s64)) | always19(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s34) | (~trans(s64, s34)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8874, 8872])).
% 1.49/1.53 tff(8876,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s34)) | (~always19(s64)) | always19(s34))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8877,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s34) | (~trans(s64, s34))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8876, 8875])).
% 1.49/1.53 tff(8878,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8877, 8130, 4084, 8479, 5658])).
% 1.49/1.53 tff(8879,plain,(~trans(s64, s34)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8880,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s27, s28)) | (~always19(s27)) | always19(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s27, s28)) | (~always19(s27)) | always19(s28))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8881,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s27, s28)) | (~always19(s27)) | always19(s28))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8882,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s27, s28)) | (~always19(s27)) | always19(s28)),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 1.49/1.53 tff(8883,plain,
% 1.49/1.53 ((~always19(s27)) | always19(s28)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8882, 4084, 2636])).
% 1.49/1.53 tff(8884,plain,
% 1.49/1.53 (~always19(s27)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8883, 5705])).
% 1.49/1.53 tff(8885,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s27) | (~trans(s64, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s27) | (~trans(s64, s27)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8886,plain,
% 1.49/1.53 (((~trans(s64, s27)) | (~always19(s64)) | always19(s27)) <=> ((~always19(s64)) | always19(s27) | (~trans(s64, s27)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8887,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s27)) | (~always19(s64)) | always19(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s27) | (~trans(s64, s27))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8886])).
% 1.49/1.53 tff(8888,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s27)) | (~always19(s64)) | always19(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s27) | (~trans(s64, s27)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8887, 8885])).
% 1.49/1.53 tff(8889,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s27)) | (~always19(s64)) | always19(s27))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8890,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s27) | (~trans(s64, s27))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8889, 8888])).
% 1.49/1.53 tff(8891,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8890, 8141, 4084, 8479, 8884])).
% 1.49/1.53 tff(8892,plain,(~trans(s64, s27)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8893,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s23, s24)) | (~always19(s23)) | always19(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s23, s24)) | (~always19(s23)) | always19(s24))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8894,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s23, s24)) | (~always19(s23)) | always19(s24))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8895,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s23, s24)) | (~always19(s23)) | always19(s24)),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8894, 8893])).
% 1.49/1.53 tff(8896,plain,
% 1.49/1.53 ((~always19(s23)) | always19(s24)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8895, 4084, 2303])).
% 1.49/1.53 tff(8897,plain,
% 1.49/1.53 (~always19(s23)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8896, 5738])).
% 1.49/1.53 tff(8898,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s23) | (~trans(s64, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s23) | (~trans(s64, s23)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8899,plain,
% 1.49/1.53 (((~trans(s64, s23)) | (~always19(s64)) | always19(s23)) <=> ((~always19(s64)) | always19(s23) | (~trans(s64, s23)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8900,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s23)) | (~always19(s64)) | always19(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s23) | (~trans(s64, s23))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8899])).
% 1.49/1.53 tff(8901,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s23)) | (~always19(s64)) | always19(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s23) | (~trans(s64, s23)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8900, 8898])).
% 1.49/1.53 tff(8902,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s23)) | (~always19(s64)) | always19(s23))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8903,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s23) | (~trans(s64, s23))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 1.49/1.53 tff(8904,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8903, 8152, 4084, 8479, 8897])).
% 1.49/1.53 tff(8905,plain,(~trans(s64, s23)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8906,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s55, s56)) | (~always19(s55)) | always19(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s55, s56)) | (~always19(s55)) | always19(s56))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8907,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s55, s56)) | (~always19(s55)) | always19(s56))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8908,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s55, s56)) | (~always19(s55)) | always19(s56)),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8907, 8906])).
% 1.49/1.53 tff(8909,plain,
% 1.49/1.53 ((~always19(s55)) | always19(s56)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8908, 4084, 4850])).
% 1.49/1.53 tff(8910,plain,
% 1.49/1.53 (~always19(s55)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8909, 5491])).
% 1.49/1.53 tff(8911,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s55) | (~trans(s64, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s55) | (~trans(s64, s55)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8912,plain,
% 1.49/1.53 (((~trans(s64, s55)) | (~always19(s64)) | always19(s55)) <=> ((~always19(s64)) | always19(s55) | (~trans(s64, s55)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8913,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s55)) | (~always19(s64)) | always19(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s55) | (~trans(s64, s55))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8912])).
% 1.49/1.53 tff(8914,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s55)) | (~always19(s64)) | always19(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s55) | (~trans(s64, s55)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8913, 8911])).
% 1.49/1.53 tff(8915,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s55)) | (~always19(s64)) | always19(s55))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8916,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s55) | (~trans(s64, s55))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 1.49/1.53 tff(8917,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8916, 8163, 4084, 8479, 8910])).
% 1.49/1.53 tff(8918,plain,(~trans(s64, s55)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8919,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s13) | (~trans(s64, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s13) | (~trans(s64, s13)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8920,plain,
% 1.49/1.53 (((~trans(s64, s13)) | (~always19(s64)) | always19(s13)) <=> ((~always19(s64)) | always19(s13) | (~trans(s64, s13)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8921,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s13)) | (~always19(s64)) | always19(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s13) | (~trans(s64, s13))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8920])).
% 1.49/1.53 tff(8922,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s13)) | (~always19(s64)) | always19(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s13) | (~trans(s64, s13)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8921, 8919])).
% 1.49/1.53 tff(8923,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s13)) | (~always19(s64)) | always19(s13))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8924,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s13) | (~trans(s64, s13))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 1.49/1.53 tff(8925,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8924, 8174, 4084, 8479, 5828])).
% 1.49/1.53 tff(8926,plain,(~trans(s64, s13)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8927,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s5) | (~trans(s64, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s5) | (~trans(s64, s5)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8928,plain,
% 1.49/1.53 (((~trans(s64, s5)) | (~always19(s64)) | always19(s5)) <=> ((~always19(s64)) | always19(s5) | (~trans(s64, s5)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8929,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s5)) | (~always19(s64)) | always19(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s5) | (~trans(s64, s5))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8928])).
% 1.49/1.53 tff(8930,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s5)) | (~always19(s64)) | always19(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s5) | (~trans(s64, s5)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8929, 8927])).
% 1.49/1.53 tff(8931,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s5)) | (~always19(s64)) | always19(s5))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8932,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s5) | (~trans(s64, s5))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 1.49/1.53 tff(8933,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8932, 8185, 4084, 8479, 5894])).
% 1.49/1.53 tff(8934,plain,(~trans(s64, s5)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8935,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s61) | (~trans(s64, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s61) | (~trans(s64, s61)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8936,plain,
% 1.49/1.53 (((~trans(s64, s61)) | (~always19(s64)) | always19(s61)) <=> ((~always19(s64)) | always19(s61) | (~trans(s64, s61)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8937,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s61)) | (~always19(s64)) | always19(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s61) | (~trans(s64, s61))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8936])).
% 1.49/1.53 tff(8938,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s61)) | (~always19(s64)) | always19(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s61) | (~trans(s64, s61)))),
% 1.49/1.53 inference(transitivity,[status(thm)],[8937, 8935])).
% 1.49/1.53 tff(8939,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s61)) | (~always19(s64)) | always19(s61))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8940,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s61) | (~trans(s64, s61))),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 1.49/1.53 tff(8941,plain,
% 1.49/1.53 ($false),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8940, 8196, 4084, 8479, 5442])).
% 1.49/1.53 tff(8942,plain,(~trans(s64, s61)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.53 tff(8943,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s3, s4)) | (~always19(s3)) | always19(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s3, s4)) | (~always19(s3)) | always19(s4))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8944,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s3, s4)) | (~always19(s3)) | always19(s4))),
% 1.49/1.53 inference(quant_inst,[status(thm)],[])).
% 1.49/1.53 tff(8945,plain,
% 1.49/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s3, s4)) | (~always19(s3)) | always19(s4)),
% 1.49/1.53 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 1.49/1.53 tff(8946,plain,
% 1.49/1.53 ((~always19(s3)) | always19(s4)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8945, 4084, 603])).
% 1.49/1.53 tff(8947,plain,
% 1.49/1.53 (~always19(s3)),
% 1.49/1.53 inference(unit_resolution,[status(thm)],[8946, 5903])).
% 1.49/1.53 tff(8948,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s3) | (~trans(s64, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s3) | (~trans(s64, s3)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8949,plain,
% 1.49/1.53 (((~trans(s64, s3)) | (~always19(s64)) | always19(s3)) <=> ((~always19(s64)) | always19(s3) | (~trans(s64, s3)))),
% 1.49/1.53 inference(rewrite,[status(thm)],[])).
% 1.49/1.53 tff(8950,plain,
% 1.49/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s3)) | (~always19(s64)) | always19(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s3) | (~trans(s64, s3))))),
% 1.49/1.53 inference(monotonicity,[status(thm)],[8949])).
% 1.49/1.53 tff(8951,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s3)) | (~always19(s64)) | always19(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s3) | (~trans(s64, s3)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[8950, 8948])).
% 1.49/1.54 tff(8952,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s3)) | (~always19(s64)) | always19(s3))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(8953,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s3) | (~trans(s64, s3))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 1.49/1.54 tff(8954,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8953, 8207, 4084, 8479, 8947])).
% 1.49/1.54 tff(8955,plain,(~trans(s64, s3)), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(8956,assumption,(always19(s64)), introduced(assumption)).
% 1.49/1.54 tff(8957,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s41) | (~trans(s64, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s41) | (~trans(s64, s41)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8958,plain,
% 1.49/1.54 (((~trans(s64, s41)) | (~always19(s64)) | always19(s41)) <=> ((~always19(s64)) | always19(s41) | (~trans(s64, s41)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8959,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s41)) | (~always19(s64)) | always19(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s41) | (~trans(s64, s41))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[8958])).
% 1.49/1.54 tff(8960,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s41)) | (~always19(s64)) | always19(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s41) | (~trans(s64, s41)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[8959, 8957])).
% 1.49/1.54 tff(8961,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s41)) | (~always19(s64)) | always19(s41))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(8962,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s41) | (~trans(s64, s41))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[8961, 8960])).
% 1.49/1.54 tff(8963,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8962, 7215, 4084, 8956, 5597])).
% 1.49/1.54 tff(8964,plain,((~trans(s64, s41)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(8965,plain,
% 1.49/1.54 (~trans(s64, s41)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8964, 8479])).
% 1.49/1.54 tff(8966,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s45) | (~trans(s64, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s45) | (~trans(s64, s45)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8967,plain,
% 1.49/1.54 (((~trans(s64, s45)) | (~always19(s64)) | always19(s45)) <=> ((~always19(s64)) | always19(s45) | (~trans(s64, s45)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8968,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s45)) | (~always19(s64)) | always19(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s45) | (~trans(s64, s45))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[8967])).
% 1.49/1.54 tff(8969,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s45)) | (~always19(s64)) | always19(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s45) | (~trans(s64, s45)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[8968, 8966])).
% 1.49/1.54 tff(8970,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s45)) | (~always19(s64)) | always19(s45))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(8971,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s45) | (~trans(s64, s45))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[8970, 8969])).
% 1.49/1.54 tff(8972,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8971, 7226, 4084, 8956, 4089])).
% 1.49/1.54 tff(8973,plain,((~trans(s64, s45)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(8974,plain,
% 1.49/1.54 (~trans(s64, s45)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8973, 8479])).
% 1.49/1.54 tff(8975,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s54) | (~trans(s64, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s54) | (~trans(s64, s54)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8976,plain,
% 1.49/1.54 (((~trans(s64, s54)) | (~always19(s64)) | always19(s54)) <=> ((~always19(s64)) | always19(s54) | (~trans(s64, s54)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8977,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s54)) | (~always19(s64)) | always19(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s54) | (~trans(s64, s54))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[8976])).
% 1.49/1.54 tff(8978,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s54)) | (~always19(s64)) | always19(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s54) | (~trans(s64, s54)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[8977, 8975])).
% 1.49/1.54 tff(8979,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s54)) | (~always19(s64)) | always19(s54))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(8980,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s54) | (~trans(s64, s54))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 1.49/1.54 tff(8981,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8980, 7237, 4084, 8956, 5510])).
% 1.49/1.54 tff(8982,plain,((~trans(s64, s54)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(8983,plain,
% 1.49/1.54 (~trans(s64, s54)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8982, 8479])).
% 1.49/1.54 tff(8984,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s12) | (~trans(s64, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s12) | (~trans(s64, s12)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8985,plain,
% 1.49/1.54 (((~trans(s64, s12)) | (~always19(s64)) | always19(s12)) <=> ((~always19(s64)) | always19(s12) | (~trans(s64, s12)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8986,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s12)) | (~always19(s64)) | always19(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s12) | (~trans(s64, s12))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[8985])).
% 1.49/1.54 tff(8987,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s12)) | (~always19(s64)) | always19(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s12) | (~trans(s64, s12)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[8986, 8984])).
% 1.49/1.54 tff(8988,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s12)) | (~always19(s64)) | always19(s12))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(8989,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s12) | (~trans(s64, s12))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 1.49/1.54 tff(8990,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8989, 7438, 4084, 8956, 5837])).
% 1.49/1.54 tff(8991,plain,((~trans(s64, s12)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(8992,plain,
% 1.49/1.54 (~trans(s64, s12)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8991, 8479])).
% 1.49/1.54 tff(8993,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s22) | (~trans(s64, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s22) | (~trans(s64, s22)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8994,plain,
% 1.49/1.54 (((~trans(s64, s22)) | (~always19(s64)) | always19(s22)) <=> ((~always19(s64)) | always19(s22) | (~trans(s64, s22)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(8995,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s22)) | (~always19(s64)) | always19(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s22) | (~trans(s64, s22))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[8994])).
% 1.49/1.54 tff(8996,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s22)) | (~always19(s64)) | always19(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s22) | (~trans(s64, s22)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[8995, 8993])).
% 1.49/1.54 tff(8997,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s22)) | (~always19(s64)) | always19(s22))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(8998,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s22) | (~trans(s64, s22))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[8997, 8996])).
% 1.49/1.54 tff(8999,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[8998, 7449, 4084, 8956, 5757])).
% 1.49/1.54 tff(9000,plain,((~trans(s64, s22)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9001,plain,
% 1.49/1.54 (~trans(s64, s22)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9000, 8479])).
% 1.49/1.54 tff(9002,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s24) | (~trans(s64, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s24) | (~trans(s64, s24)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9003,plain,
% 1.49/1.54 (((~trans(s64, s24)) | (~always19(s64)) | always19(s24)) <=> ((~always19(s64)) | always19(s24) | (~trans(s64, s24)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9004,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s24)) | (~always19(s64)) | always19(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s24) | (~trans(s64, s24))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9003])).
% 1.49/1.54 tff(9005,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s24)) | (~always19(s64)) | always19(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s24) | (~trans(s64, s24)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9004, 9002])).
% 1.49/1.54 tff(9006,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s24)) | (~always19(s64)) | always19(s24))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9007,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s24) | (~trans(s64, s24))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 1.49/1.54 tff(9008,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9007, 7460, 4084, 8956, 5738])).
% 1.49/1.54 tff(9009,plain,((~trans(s64, s24)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9010,plain,
% 1.49/1.54 (~trans(s64, s24)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9009, 8479])).
% 1.49/1.54 tff(9011,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s47, s48)) | (~always19(s47)) | always19(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s47, s48)) | (~always19(s47)) | always19(s48))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9012,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s47, s48)) | (~always19(s47)) | always19(s48))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9013,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s47, s48)) | (~always19(s47)) | always19(s48)),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9012, 9011])).
% 1.49/1.54 tff(9014,plain,
% 1.49/1.54 ((~always19(s47)) | always19(s48)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9013, 4084, 4222])).
% 1.49/1.54 tff(9015,plain,
% 1.49/1.54 (~always19(s47)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9014, 5557])).
% 1.49/1.54 tff(9016,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s47) | (~trans(s64, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s47) | (~trans(s64, s47)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9017,plain,
% 1.49/1.54 (((~trans(s64, s47)) | (~always19(s64)) | always19(s47)) <=> ((~always19(s64)) | always19(s47) | (~trans(s64, s47)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9018,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s47)) | (~always19(s64)) | always19(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s47) | (~trans(s64, s47))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9017])).
% 1.49/1.54 tff(9019,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s47)) | (~always19(s64)) | always19(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s47) | (~trans(s64, s47)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9018, 9016])).
% 1.49/1.54 tff(9020,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s47)) | (~always19(s64)) | always19(s47))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9021,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s47) | (~trans(s64, s47))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 1.49/1.54 tff(9022,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9021, 7471, 4084, 8956, 9015])).
% 1.49/1.54 tff(9023,plain,((~trans(s64, s47)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9024,plain,
% 1.49/1.54 (~trans(s64, s47)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9023, 8479])).
% 1.49/1.54 tff(9025,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s57) | (~trans(s64, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s57) | (~trans(s64, s57)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9026,plain,
% 1.49/1.54 (((~trans(s64, s57)) | (~always19(s64)) | always19(s57)) <=> ((~always19(s64)) | always19(s57) | (~trans(s64, s57)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9027,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s57)) | (~always19(s64)) | always19(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s57) | (~trans(s64, s57))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9026])).
% 1.49/1.54 tff(9028,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s57)) | (~always19(s64)) | always19(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s57) | (~trans(s64, s57)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9027, 9025])).
% 1.49/1.54 tff(9029,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s57)) | (~always19(s64)) | always19(s57))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9030,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s57) | (~trans(s64, s57))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 1.49/1.54 tff(9031,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9030, 7482, 4084, 8956, 5482])).
% 1.49/1.54 tff(9032,plain,((~trans(s64, s57)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9033,plain,
% 1.49/1.54 (~trans(s64, s57)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9032, 8479])).
% 1.49/1.54 tff(9034,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s21) | (~trans(s64, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s21) | (~trans(s64, s21)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9035,plain,
% 1.49/1.54 (((~trans(s64, s21)) | (~always19(s64)) | always19(s21)) <=> ((~always19(s64)) | always19(s21) | (~trans(s64, s21)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9036,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s21)) | (~always19(s64)) | always19(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s21) | (~trans(s64, s21))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9035])).
% 1.49/1.54 tff(9037,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s21)) | (~always19(s64)) | always19(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s21) | (~trans(s64, s21)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9036, 9034])).
% 1.49/1.54 tff(9038,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s21)) | (~always19(s64)) | always19(s21))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9039,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s21) | (~trans(s64, s21))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 1.49/1.54 tff(9040,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9039, 7493, 4084, 8956, 5762])).
% 1.49/1.54 tff(9041,plain,((~trans(s64, s21)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9042,plain,
% 1.49/1.54 (~trans(s64, s21)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9041, 8479])).
% 1.49/1.54 tff(9043,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s29) | (~trans(s64, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s29) | (~trans(s64, s29)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9044,plain,
% 1.49/1.54 (((~trans(s64, s29)) | (~always19(s64)) | always19(s29)) <=> ((~always19(s64)) | always19(s29) | (~trans(s64, s29)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9045,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s29)) | (~always19(s64)) | always19(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s29) | (~trans(s64, s29))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9044])).
% 1.49/1.54 tff(9046,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s29)) | (~always19(s64)) | always19(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s29) | (~trans(s64, s29)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9045, 9043])).
% 1.49/1.54 tff(9047,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s29)) | (~always19(s64)) | always19(s29))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9048,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s29) | (~trans(s64, s29))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 1.49/1.54 tff(9049,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9048, 7504, 4084, 8956, 5696])).
% 1.49/1.54 tff(9050,plain,((~trans(s64, s29)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9051,plain,
% 1.49/1.54 (~trans(s64, s29)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9050, 8479])).
% 1.49/1.54 tff(9052,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s0, s1)) | (~always19(s0)) | always19(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s0, s1)) | (~always19(s0)) | always19(s1))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9053,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s0, s1)) | (~always19(s0)) | always19(s1))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9054,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s0, s1)) | (~always19(s0)) | always19(s1)),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9053, 9052])).
% 1.49/1.54 tff(9055,plain,
% 1.49/1.54 ((~always19(s0)) | always19(s1)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9054, 4084, 39])).
% 1.49/1.54 tff(9056,plain,
% 1.49/1.54 (~always19(s0)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9055, 5931])).
% 1.49/1.54 tff(9057,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s0) | (~trans(s64, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s0) | (~trans(s64, s0)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9058,plain,
% 1.49/1.54 (((~trans(s64, s0)) | (~always19(s64)) | always19(s0)) <=> ((~always19(s64)) | always19(s0) | (~trans(s64, s0)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9059,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s0)) | (~always19(s64)) | always19(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s0) | (~trans(s64, s0))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9058])).
% 1.49/1.54 tff(9060,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s0)) | (~always19(s64)) | always19(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s0) | (~trans(s64, s0)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9059, 9057])).
% 1.49/1.54 tff(9061,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s0)) | (~always19(s64)) | always19(s0))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9062,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s0) | (~trans(s64, s0))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9061, 9060])).
% 1.49/1.54 tff(9063,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9062, 7635, 4084, 8956, 9056])).
% 1.49/1.54 tff(9064,plain,((~trans(s64, s0)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9065,plain,
% 1.49/1.54 (~trans(s64, s0)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9064, 8479])).
% 1.49/1.54 tff(9066,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s25) | (~trans(s64, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s25) | (~trans(s64, s25)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9067,plain,
% 1.49/1.54 (((~trans(s64, s25)) | (~always19(s64)) | always19(s25)) <=> ((~always19(s64)) | always19(s25) | (~trans(s64, s25)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9068,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s25)) | (~always19(s64)) | always19(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s25) | (~trans(s64, s25))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9067])).
% 1.49/1.54 tff(9069,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s25)) | (~always19(s64)) | always19(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s25) | (~trans(s64, s25)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9068, 9066])).
% 1.49/1.54 tff(9070,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s25)) | (~always19(s64)) | always19(s25))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9071,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s25) | (~trans(s64, s25))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 1.49/1.54 tff(9072,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9071, 7646, 4084, 8956, 5729])).
% 1.49/1.54 tff(9073,plain,((~trans(s64, s25)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9074,plain,
% 1.49/1.54 (~trans(s64, s25)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9073, 8479])).
% 1.49/1.54 tff(9075,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s10) | (~trans(s64, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s10) | (~trans(s64, s10)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9076,plain,
% 1.49/1.54 (((~trans(s64, s10)) | (~always19(s64)) | always19(s10)) <=> ((~always19(s64)) | always19(s10) | (~trans(s64, s10)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9077,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s10)) | (~always19(s64)) | always19(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s10) | (~trans(s64, s10))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9076])).
% 1.49/1.54 tff(9078,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s10)) | (~always19(s64)) | always19(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s10) | (~trans(s64, s10)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9077, 9075])).
% 1.49/1.54 tff(9079,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s10)) | (~always19(s64)) | always19(s10))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9080,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s10) | (~trans(s64, s10))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 1.49/1.54 tff(9081,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9080, 7657, 4084, 8956, 5856])).
% 1.49/1.54 tff(9082,plain,((~trans(s64, s10)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9083,plain,
% 1.49/1.54 (~trans(s64, s10)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9082, 8479])).
% 1.49/1.54 tff(9084,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s8) | (~trans(s64, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s8) | (~trans(s64, s8)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9085,plain,
% 1.49/1.54 (((~trans(s64, s8)) | (~always19(s64)) | always19(s8)) <=> ((~always19(s64)) | always19(s8) | (~trans(s64, s8)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9086,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s8)) | (~always19(s64)) | always19(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s8) | (~trans(s64, s8))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9085])).
% 1.49/1.54 tff(9087,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s8)) | (~always19(s64)) | always19(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s8) | (~trans(s64, s8)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9086, 9084])).
% 1.49/1.54 tff(9088,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s8)) | (~always19(s64)) | always19(s8))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9089,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s8) | (~trans(s64, s8))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9088, 9087])).
% 1.49/1.54 tff(9090,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9089, 7668, 4084, 8956, 5870])).
% 1.49/1.54 tff(9091,plain,((~trans(s64, s8)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9092,plain,
% 1.49/1.54 (~trans(s64, s8)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9091, 8479])).
% 1.49/1.54 tff(9093,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s11, s12)) | (~always19(s11)) | always19(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s11, s12)) | (~always19(s11)) | always19(s12))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9094,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s11, s12)) | (~always19(s11)) | always19(s12))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9095,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s11, s12)) | (~always19(s11)) | always19(s12)),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 1.49/1.54 tff(9096,plain,
% 1.49/1.54 ((~always19(s11)) | always19(s12)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9095, 4084, 1380])).
% 1.49/1.54 tff(9097,plain,
% 1.49/1.54 (~always19(s11)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9096, 5837])).
% 1.49/1.54 tff(9098,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s11) | (~trans(s64, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s11) | (~trans(s64, s11)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9099,plain,
% 1.49/1.54 (((~trans(s64, s11)) | (~always19(s64)) | always19(s11)) <=> ((~always19(s64)) | always19(s11) | (~trans(s64, s11)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9100,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s11)) | (~always19(s64)) | always19(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s11) | (~trans(s64, s11))))),
% 1.49/1.54 inference(monotonicity,[status(thm)],[9099])).
% 1.49/1.54 tff(9101,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s11)) | (~always19(s64)) | always19(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s11) | (~trans(s64, s11)))),
% 1.49/1.54 inference(transitivity,[status(thm)],[9100, 9098])).
% 1.49/1.54 tff(9102,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s11)) | (~always19(s64)) | always19(s11))),
% 1.49/1.54 inference(quant_inst,[status(thm)],[])).
% 1.49/1.54 tff(9103,plain,
% 1.49/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s11) | (~trans(s64, s11))),
% 1.49/1.54 inference(modus_ponens,[status(thm)],[9102, 9101])).
% 1.49/1.54 tff(9104,plain,
% 1.49/1.54 ($false),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9103, 7679, 4084, 8956, 9097])).
% 1.49/1.54 tff(9105,plain,((~trans(s64, s11)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.54 tff(9106,plain,
% 1.49/1.54 (~trans(s64, s11)),
% 1.49/1.54 inference(unit_resolution,[status(thm)],[9105, 8479])).
% 1.49/1.54 tff(9107,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s37) | (~trans(s64, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s37) | (~trans(s64, s37)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9108,plain,
% 1.49/1.54 (((~trans(s64, s37)) | (~always19(s64)) | always19(s37)) <=> ((~always19(s64)) | always19(s37) | (~trans(s64, s37)))),
% 1.49/1.54 inference(rewrite,[status(thm)],[])).
% 1.49/1.54 tff(9109,plain,
% 1.49/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s37)) | (~always19(s64)) | always19(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s37) | (~trans(s64, s37))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9108])).
% 1.49/1.55 tff(9110,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s37)) | (~always19(s64)) | always19(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s37) | (~trans(s64, s37)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9109, 9107])).
% 1.49/1.55 tff(9111,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s37)) | (~always19(s64)) | always19(s37))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9112,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s37) | (~trans(s64, s37))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 1.49/1.55 tff(9113,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9112, 7690, 4084, 8956, 5630])).
% 1.49/1.55 tff(9114,plain,((~trans(s64, s37)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9115,plain,
% 1.49/1.55 (~trans(s64, s37)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9114, 8479])).
% 1.49/1.55 tff(9116,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s35, s36)) | (~always19(s35)) | always19(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s35, s36)) | (~always19(s35)) | always19(s36))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9117,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s35, s36)) | (~always19(s35)) | always19(s36))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9118,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s35, s36)) | (~always19(s35)) | always19(s36)),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9117, 9116])).
% 1.49/1.55 tff(9119,plain,
% 1.49/1.55 ((~always19(s35)) | always19(s36)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9118, 4084, 3264])).
% 1.49/1.55 tff(9120,plain,
% 1.49/1.55 (~always19(s35)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9119, 5639])).
% 1.49/1.55 tff(9121,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s35) | (~trans(s64, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s35) | (~trans(s64, s35)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9122,plain,
% 1.49/1.55 (((~trans(s64, s35)) | (~always19(s64)) | always19(s35)) <=> ((~always19(s64)) | always19(s35) | (~trans(s64, s35)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9123,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s35)) | (~always19(s64)) | always19(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s35) | (~trans(s64, s35))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9122])).
% 1.49/1.55 tff(9124,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s35)) | (~always19(s64)) | always19(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s35) | (~trans(s64, s35)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9123, 9121])).
% 1.49/1.55 tff(9125,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s35)) | (~always19(s64)) | always19(s35))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9126,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s35) | (~trans(s64, s35))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9125, 9124])).
% 1.49/1.55 tff(9127,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9126, 7701, 4084, 8956, 9120])).
% 1.49/1.55 tff(9128,plain,((~trans(s64, s35)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9129,plain,
% 1.49/1.55 (~trans(s64, s35)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9128, 8479])).
% 1.49/1.55 tff(9130,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s15, s16)) | (~always19(s15)) | always19(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s15, s16)) | (~always19(s15)) | always19(s16))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9131,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s15, s16)) | (~always19(s15)) | always19(s16))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9132,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s15, s16)) | (~always19(s15)) | always19(s16)),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9131, 9130])).
% 1.49/1.55 tff(9133,plain,
% 1.49/1.55 ((~always19(s15)) | always19(s16)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9132, 4084, 1675])).
% 1.49/1.55 tff(9134,plain,
% 1.49/1.55 (~always19(s15)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9133, 5804])).
% 1.49/1.55 tff(9135,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s15) | (~trans(s64, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s15) | (~trans(s64, s15)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9136,plain,
% 1.49/1.55 (((~trans(s64, s15)) | (~always19(s64)) | always19(s15)) <=> ((~always19(s64)) | always19(s15) | (~trans(s64, s15)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9137,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s15)) | (~always19(s64)) | always19(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s15) | (~trans(s64, s15))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9136])).
% 1.49/1.55 tff(9138,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s15)) | (~always19(s64)) | always19(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s15) | (~trans(s64, s15)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9137, 9135])).
% 1.49/1.55 tff(9139,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s15)) | (~always19(s64)) | always19(s15))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9140,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s15) | (~trans(s64, s15))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9139, 9138])).
% 1.49/1.55 tff(9141,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9140, 7712, 4084, 8956, 9134])).
% 1.49/1.55 tff(9142,plain,((~trans(s64, s15)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9143,plain,
% 1.49/1.55 (~trans(s64, s15)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9142, 8479])).
% 1.49/1.55 tff(9144,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s2) | (~trans(s64, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s2) | (~trans(s64, s2)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9145,plain,
% 1.49/1.55 (((~trans(s64, s2)) | (~always19(s64)) | always19(s2)) <=> ((~always19(s64)) | always19(s2) | (~trans(s64, s2)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9146,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s2)) | (~always19(s64)) | always19(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s2) | (~trans(s64, s2))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9145])).
% 1.49/1.55 tff(9147,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s2)) | (~always19(s64)) | always19(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s2) | (~trans(s64, s2)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9146, 9144])).
% 1.49/1.55 tff(9148,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s2)) | (~always19(s64)) | always19(s2))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9149,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s2) | (~trans(s64, s2))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9148, 9147])).
% 1.49/1.55 tff(9150,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9149, 7723, 4084, 8956, 5922])).
% 1.49/1.55 tff(9151,plain,((~trans(s64, s2)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9152,plain,
% 1.49/1.55 (~trans(s64, s2)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9151, 8479])).
% 1.49/1.55 tff(9153,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s53) | (~trans(s64, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s53) | (~trans(s64, s53)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9154,plain,
% 1.49/1.55 (((~trans(s64, s53)) | (~always19(s64)) | always19(s53)) <=> ((~always19(s64)) | always19(s53) | (~trans(s64, s53)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9155,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s53)) | (~always19(s64)) | always19(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s53) | (~trans(s64, s53))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9154])).
% 1.49/1.55 tff(9156,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s53)) | (~always19(s64)) | always19(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s53) | (~trans(s64, s53)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9155, 9153])).
% 1.49/1.55 tff(9157,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s53)) | (~always19(s64)) | always19(s53))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9158,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s53) | (~trans(s64, s53))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9157, 9156])).
% 1.49/1.55 tff(9159,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9158, 7734, 4084, 8956, 5515])).
% 1.49/1.55 tff(9160,plain,((~trans(s64, s53)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9161,plain,
% 1.49/1.55 (~trans(s64, s53)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9160, 8479])).
% 1.49/1.55 tff(9162,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s9) | (~trans(s64, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s9) | (~trans(s64, s9)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9163,plain,
% 1.49/1.55 (((~trans(s64, s9)) | (~always19(s64)) | always19(s9)) <=> ((~always19(s64)) | always19(s9) | (~trans(s64, s9)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9164,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s9)) | (~always19(s64)) | always19(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s9) | (~trans(s64, s9))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9163])).
% 1.49/1.55 tff(9165,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s9)) | (~always19(s64)) | always19(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s9) | (~trans(s64, s9)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9164, 9162])).
% 1.49/1.55 tff(9166,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s9)) | (~always19(s64)) | always19(s9))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9167,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s9) | (~trans(s64, s9))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 1.49/1.55 tff(9168,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9167, 7745, 4084, 8956, 5861])).
% 1.49/1.55 tff(9169,plain,((~trans(s64, s9)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9170,plain,
% 1.49/1.55 (~trans(s64, s9)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9169, 8479])).
% 1.49/1.55 tff(9171,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s18) | (~trans(s64, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s18) | (~trans(s64, s18)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9172,plain,
% 1.49/1.55 (((~trans(s64, s18)) | (~always19(s64)) | always19(s18)) <=> ((~always19(s64)) | always19(s18) | (~trans(s64, s18)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9173,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s18)) | (~always19(s64)) | always19(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s18) | (~trans(s64, s18))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9172])).
% 1.49/1.55 tff(9174,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s18)) | (~always19(s64)) | always19(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s18) | (~trans(s64, s18)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9173, 9171])).
% 1.49/1.55 tff(9175,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s18)) | (~always19(s64)) | always19(s18))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9176,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s18) | (~trans(s64, s18))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9175, 9174])).
% 1.49/1.55 tff(9177,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9176, 7756, 4084, 8956, 5790])).
% 1.49/1.55 tff(9178,plain,((~trans(s64, s18)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9179,plain,
% 1.49/1.55 (~trans(s64, s18)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9178, 8479])).
% 1.49/1.55 tff(9180,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s20) | (~trans(s64, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s20) | (~trans(s64, s20)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9181,plain,
% 1.49/1.55 (((~trans(s64, s20)) | (~always19(s64)) | always19(s20)) <=> ((~always19(s64)) | always19(s20) | (~trans(s64, s20)))),
% 1.49/1.55 inference(rewrite,[status(thm)],[])).
% 1.49/1.55 tff(9182,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s20)) | (~always19(s64)) | always19(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s20) | (~trans(s64, s20))))),
% 1.49/1.55 inference(monotonicity,[status(thm)],[9181])).
% 1.49/1.55 tff(9183,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s20)) | (~always19(s64)) | always19(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s20) | (~trans(s64, s20)))),
% 1.49/1.55 inference(transitivity,[status(thm)],[9182, 9180])).
% 1.49/1.55 tff(9184,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s20)) | (~always19(s64)) | always19(s20))),
% 1.49/1.55 inference(quant_inst,[status(thm)],[])).
% 1.49/1.55 tff(9185,plain,
% 1.49/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s20) | (~trans(s64, s20))),
% 1.49/1.55 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 1.49/1.55 tff(9186,plain,
% 1.49/1.55 ($false),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9185, 7767, 4084, 8956, 5771])).
% 1.49/1.55 tff(9187,plain,((~trans(s64, s20)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.55 tff(9188,plain,
% 1.49/1.55 (~trans(s64, s20)),
% 1.49/1.55 inference(unit_resolution,[status(thm)],[9187, 8479])).
% 1.49/1.55 tff(9189,plain,
% 1.49/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s26) | (~trans(s64, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s26) | (~trans(s64, s26)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9190,plain,
% 1.53/1.55 (((~trans(s64, s26)) | (~always19(s64)) | always19(s26)) <=> ((~always19(s64)) | always19(s26) | (~trans(s64, s26)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9191,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s26)) | (~always19(s64)) | always19(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s26) | (~trans(s64, s26))))),
% 1.53/1.55 inference(monotonicity,[status(thm)],[9190])).
% 1.53/1.55 tff(9192,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s26)) | (~always19(s64)) | always19(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s26) | (~trans(s64, s26)))),
% 1.53/1.55 inference(transitivity,[status(thm)],[9191, 9189])).
% 1.53/1.55 tff(9193,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s26)) | (~always19(s64)) | always19(s26))),
% 1.53/1.55 inference(quant_inst,[status(thm)],[])).
% 1.53/1.55 tff(9194,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s26) | (~trans(s64, s26))),
% 1.53/1.55 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 1.53/1.55 tff(9195,plain,
% 1.53/1.55 ($false),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9194, 7778, 4084, 8956, 5724])).
% 1.53/1.55 tff(9196,plain,((~trans(s64, s26)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.55 tff(9197,plain,
% 1.53/1.55 (~trans(s64, s26)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9196, 8479])).
% 1.53/1.55 tff(9198,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s38) | (~trans(s64, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s38) | (~trans(s64, s38)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9199,plain,
% 1.53/1.55 (((~trans(s64, s38)) | (~always19(s64)) | always19(s38)) <=> ((~always19(s64)) | always19(s38) | (~trans(s64, s38)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9200,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s38)) | (~always19(s64)) | always19(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s38) | (~trans(s64, s38))))),
% 1.53/1.55 inference(monotonicity,[status(thm)],[9199])).
% 1.53/1.55 tff(9201,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s38)) | (~always19(s64)) | always19(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s38) | (~trans(s64, s38)))),
% 1.53/1.55 inference(transitivity,[status(thm)],[9200, 9198])).
% 1.53/1.55 tff(9202,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s38)) | (~always19(s64)) | always19(s38))),
% 1.53/1.55 inference(quant_inst,[status(thm)],[])).
% 1.53/1.55 tff(9203,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s38) | (~trans(s64, s38))),
% 1.53/1.55 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 1.53/1.55 tff(9204,plain,
% 1.53/1.55 ($false),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9203, 7789, 4084, 8956, 5625])).
% 1.53/1.55 tff(9205,plain,((~trans(s64, s38)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.55 tff(9206,plain,
% 1.53/1.55 (~trans(s64, s38)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9205, 8479])).
% 1.53/1.55 tff(9207,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s50) | (~trans(s64, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s50) | (~trans(s64, s50)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9208,plain,
% 1.53/1.55 (((~trans(s64, s50)) | (~always19(s64)) | always19(s50)) <=> ((~always19(s64)) | always19(s50) | (~trans(s64, s50)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9209,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s50)) | (~always19(s64)) | always19(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s50) | (~trans(s64, s50))))),
% 1.53/1.55 inference(monotonicity,[status(thm)],[9208])).
% 1.53/1.55 tff(9210,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s50)) | (~always19(s64)) | always19(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s50) | (~trans(s64, s50)))),
% 1.53/1.55 inference(transitivity,[status(thm)],[9209, 9207])).
% 1.53/1.55 tff(9211,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s50)) | (~always19(s64)) | always19(s50))),
% 1.53/1.55 inference(quant_inst,[status(thm)],[])).
% 1.53/1.55 tff(9212,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s50) | (~trans(s64, s50))),
% 1.53/1.55 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 1.53/1.55 tff(9213,plain,
% 1.53/1.55 ($false),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9212, 7800, 4084, 8956, 5543])).
% 1.53/1.55 tff(9214,plain,((~trans(s64, s50)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.55 tff(9215,plain,
% 1.53/1.55 (~trans(s64, s50)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9214, 8479])).
% 1.53/1.55 tff(9216,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s58) | (~trans(s64, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s58) | (~trans(s64, s58)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9217,plain,
% 1.53/1.55 (((~trans(s64, s58)) | (~always19(s64)) | always19(s58)) <=> ((~always19(s64)) | always19(s58) | (~trans(s64, s58)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9218,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s58)) | (~always19(s64)) | always19(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s58) | (~trans(s64, s58))))),
% 1.53/1.55 inference(monotonicity,[status(thm)],[9217])).
% 1.53/1.55 tff(9219,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s58)) | (~always19(s64)) | always19(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s58) | (~trans(s64, s58)))),
% 1.53/1.55 inference(transitivity,[status(thm)],[9218, 9216])).
% 1.53/1.55 tff(9220,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s58)) | (~always19(s64)) | always19(s58))),
% 1.53/1.55 inference(quant_inst,[status(thm)],[])).
% 1.53/1.55 tff(9221,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s58) | (~trans(s64, s58))),
% 1.53/1.55 inference(modus_ponens,[status(thm)],[9220, 9219])).
% 1.53/1.55 tff(9222,plain,
% 1.53/1.55 ($false),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9221, 7811, 4084, 8956, 5477])).
% 1.53/1.55 tff(9223,plain,((~trans(s64, s58)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.55 tff(9224,plain,
% 1.53/1.55 (~trans(s64, s58)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9223, 8479])).
% 1.53/1.55 tff(9225,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s31, s32)) | (~always19(s31)) | always19(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s31, s32)) | (~always19(s31)) | always19(s32))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9226,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s31, s32)) | (~always19(s31)) | always19(s32))),
% 1.53/1.55 inference(quant_inst,[status(thm)],[])).
% 1.53/1.55 tff(9227,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s31, s32)) | (~always19(s31)) | always19(s32)),
% 1.53/1.55 inference(modus_ponens,[status(thm)],[9226, 9225])).
% 1.53/1.55 tff(9228,plain,
% 1.53/1.55 ((~always19(s31)) | always19(s32)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9227, 4084, 2931])).
% 1.53/1.55 tff(9229,plain,
% 1.53/1.55 (~always19(s31)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9228, 5672])).
% 1.53/1.55 tff(9230,assumption,(trans(s64, s31)), introduced(assumption)).
% 1.53/1.55 tff(9231,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s31) | (~trans(s64, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s31) | (~trans(s64, s31)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9232,plain,
% 1.53/1.55 (((~trans(s64, s31)) | (~always19(s64)) | always19(s31)) <=> ((~always19(s64)) | always19(s31) | (~trans(s64, s31)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9233,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s31)) | (~always19(s64)) | always19(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s31) | (~trans(s64, s31))))),
% 1.53/1.55 inference(monotonicity,[status(thm)],[9232])).
% 1.53/1.55 tff(9234,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s31)) | (~always19(s64)) | always19(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s31) | (~trans(s64, s31)))),
% 1.53/1.55 inference(transitivity,[status(thm)],[9233, 9231])).
% 1.53/1.55 tff(9235,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s31)) | (~always19(s64)) | always19(s31))),
% 1.53/1.55 inference(quant_inst,[status(thm)],[])).
% 1.53/1.55 tff(9236,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s31) | (~trans(s64, s31))),
% 1.53/1.55 inference(modus_ponens,[status(thm)],[9235, 9234])).
% 1.53/1.55 tff(9237,plain,
% 1.53/1.55 ($false),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9236, 9230, 4084, 8956, 9229])).
% 1.53/1.55 tff(9238,plain,((~trans(s64, s31)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.55 tff(9239,plain,
% 1.53/1.55 (~trans(s64, s31)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9238, 8479])).
% 1.53/1.55 tff(9240,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s42) | (~trans(s64, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s42) | (~trans(s64, s42)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9241,plain,
% 1.53/1.55 (((~trans(s64, s42)) | (~always19(s64)) | always19(s42)) <=> ((~always19(s64)) | always19(s42) | (~trans(s64, s42)))),
% 1.53/1.55 inference(rewrite,[status(thm)],[])).
% 1.53/1.55 tff(9242,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s42)) | (~always19(s64)) | always19(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s42) | (~trans(s64, s42))))),
% 1.53/1.55 inference(monotonicity,[status(thm)],[9241])).
% 1.53/1.55 tff(9243,plain,
% 1.53/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s42)) | (~always19(s64)) | always19(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s42) | (~trans(s64, s42)))),
% 1.53/1.55 inference(transitivity,[status(thm)],[9242, 9240])).
% 1.53/1.55 tff(9244,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s42)) | (~always19(s64)) | always19(s42))),
% 1.53/1.55 inference(quant_inst,[status(thm)],[])).
% 1.53/1.55 tff(9245,plain,
% 1.53/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s42) | (~trans(s64, s42))),
% 1.53/1.55 inference(modus_ponens,[status(thm)],[9244, 9243])).
% 1.53/1.55 tff(9246,plain,
% 1.53/1.55 ($false),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9245, 8218, 4084, 8956, 5592])).
% 1.53/1.55 tff(9247,plain,((~trans(s64, s42)) | (~always19(s64))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.55 tff(9248,plain,
% 1.53/1.55 (~trans(s64, s42)),
% 1.53/1.55 inference(unit_resolution,[status(thm)],[9247, 8479])).
% 1.53/1.55 tff(9249,plain,
% 1.53/1.55 (trans(s64, s1) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s13) | trans(s64, s14) | trans(s64, s16) | trans(s64, s17) | trans(s64, s19) | trans(s64, s23) | trans(s64, s27) | trans(s64, s28) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s36) | trans(s64, s39) | trans(s64, s40) | trans(s64, s43) | trans(s64, s44) | trans(s64, s46) | trans(s64, s48) | trans(s64, s49) | trans(s64, s51) | trans(s64, s52) | trans(s64, s55) | trans(s64, s56) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.53/1.56 inference(unit_resolution,[status(thm)],[8465, 9248, 9239, 9224, 9215, 9206, 9197, 9188, 9179, 9170, 9161, 9152, 9143, 9129, 9115, 9106, 9092, 9083, 9074, 9065, 9051, 9042, 9033, 9024, 9010, 9001, 8992, 8983, 8974, 8965])).
% 1.53/1.56 tff(9250,plain,
% 1.53/1.56 (trans(s64, s1) | trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s13) | trans(s64, s14) | trans(s64, s16) | trans(s64, s17) | trans(s64, s19) | trans(s64, s23) | trans(s64, s27) | trans(s64, s28) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s36) | trans(s64, s39) | trans(s64, s40) | trans(s64, s43) | trans(s64, s44) | trans(s64, s46) | trans(s64, s48) | trans(s64, s49) | trans(s64, s51) | trans(s64, s52) | trans(s64, s55) | trans(s64, s56) | trans(s64, s59) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.53/1.56 inference(unit_resolution,[status(thm)],[9249, 8955, 8942, 8934])).
% 1.53/1.56 tff(9251,plain,
% 1.53/1.56 (trans(s64, s1) | trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s14) | trans(s64, s16) | trans(s64, s17) | trans(s64, s19) | trans(s64, s28) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s36) | trans(s64, s39) | trans(s64, s40) | trans(s64, s43) | trans(s64, s44) | trans(s64, s46) | trans(s64, s48) | trans(s64, s49) | trans(s64, s51) | trans(s64, s52) | trans(s64, s56) | trans(s64, s59) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.53/1.56 inference(unit_resolution,[status(thm)],[9250, 8926, 8918, 8905, 8892])).
% 1.53/1.56 tff(9252,plain,
% 1.53/1.56 (trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s16) | trans(s64, s17) | trans(s64, s19) | trans(s64, s28) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s36) | trans(s64, s39) | trans(s64, s40) | trans(s64, s43) | trans(s64, s44) | trans(s64, s46) | trans(s64, s48) | trans(s64, s49) | trans(s64, s51) | trans(s64, s52) | trans(s64, s56) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.53/1.56 inference(unit_resolution,[status(thm)],[9251, 8879, 8871, 8863, 8855])).
% 1.53/1.56 tff(9253,plain,
% 1.53/1.56 (trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s17) | trans(s64, s28) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s36) | trans(s64, s39) | trans(s64, s43) | trans(s64, s44) | trans(s64, s46) | trans(s64, s48) | trans(s64, s49) | trans(s64, s51) | trans(s64, s52) | trans(s64, s56) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.53/1.56 inference(unit_resolution,[status(thm)],[9252, 8842, 8834, 8821])).
% 1.53/1.56 tff(9254,plain,
% 1.53/1.56 (trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s17) | trans(s64, s28) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s36) | trans(s64, s39) | trans(s64, s43) | trans(s64, s44) | trans(s64, s48) | trans(s64, s52) | trans(s64, s56) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.53/1.56 inference(unit_resolution,[status(thm)],[9253, 8813, 8800, 8792])).
% 1.53/1.56 tff(9255,plain,
% 1.53/1.56 (trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s17) | trans(s64, s28) | trans(s64, s33) | trans(s64, s36) | trans(s64, s39) | trans(s64, s43) | trans(s64, s44) | trans(s64, s48) | trans(s64, s56) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.53/1.56 inference(unit_resolution,[status(thm)],[9254, 8784, 8776, 8768])).
% 1.53/1.56 tff(9256,plain,
% 1.53/1.56 (trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s17) | trans(s64, s33) | trans(s64, s36) | trans(s64, s39) | trans(s64, s43) | trans(s64, s44) | trans(s64, s48) | trans(s64, s60) | trans(s64, s62) | trans(s64, s64)),
% 1.53/1.57 inference(unit_resolution,[status(thm)],[9255, 8760, 8752, 8744])).
% 1.53/1.57 tff(9257,plain,
% 1.53/1.57 (trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s33) | trans(s64, s36) | trans(s64, s39) | trans(s64, s43) | trans(s64, s44) | trans(s64, s62) | trans(s64, s64)),
% 1.53/1.57 inference(unit_resolution,[status(thm)],[9256, 8731, 8723, 8715])).
% 1.53/1.57 tff(9258,plain,
% 1.53/1.57 (trans(s64, s4) | trans(s64, s6) | trans(s64, s7) | trans(s64, s36) | trans(s64, s44) | trans(s64, s62) | trans(s64, s64)),
% 1.53/1.57 inference(unit_resolution,[status(thm)],[9257, 8707, 8699, 8686])).
% 1.53/1.57 tff(9259,plain,
% 1.53/1.57 (trans(s64, s6) | trans(s64, s7) | trans(s64, s44) | trans(s64, s64)),
% 1.53/1.57 inference(unit_resolution,[status(thm)],[9258, 8673, 8665, 8657])).
% 1.53/1.57 tff(9260,plain,
% 1.53/1.57 (trans(s64, s44)),
% 1.53/1.57 inference(unit_resolution,[status(thm)],[9259, 8649, 8500, 8487])).
% 1.53/1.57 tff(9261,plain,
% 1.53/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s44) | (~trans(s64, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s44) | (~trans(s64, s44)))),
% 1.53/1.57 inference(rewrite,[status(thm)],[])).
% 1.53/1.57 tff(9262,plain,
% 1.53/1.57 (((~trans(s64, s44)) | (~always19(s64)) | always19(s44)) <=> ((~always19(s64)) | always19(s44) | (~trans(s64, s44)))),
% 1.53/1.57 inference(rewrite,[status(thm)],[])).
% 1.53/1.57 tff(9263,plain,
% 1.53/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s44)) | (~always19(s64)) | always19(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~always19(s64)) | always19(s44) | (~trans(s64, s44))))),
% 1.53/1.57 inference(monotonicity,[status(thm)],[9262])).
% 1.53/1.57 tff(9264,plain,
% 1.53/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s44)) | (~always19(s64)) | always19(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s44) | (~trans(s64, s44)))),
% 1.53/1.57 inference(transitivity,[status(thm)],[9263, 9261])).
% 1.53/1.57 tff(9265,plain,
% 1.53/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s44)) | (~always19(s64)) | always19(s44))),
% 1.53/1.57 inference(quant_inst,[status(thm)],[])).
% 1.53/1.57 tff(9266,plain,
% 1.53/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~always19(s64)) | always19(s44) | (~trans(s64, s44))),
% 1.53/1.57 inference(modus_ponens,[status(thm)],[9265, 9264])).
% 1.53/1.57 tff(9267,plain,
% 1.53/1.57 ($false),
% 1.53/1.57 inference(unit_resolution,[status(thm)],[9266, 9260, 4084, 8479, 4094])).
% 1.53/1.57 % SZS output end Proof
%------------------------------------------------------------------------------