TSTP Solution File: SWV421-1.100 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV421-1.100 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 15:11:58 EDT 2022
% Result : Unsatisfiable 1.10s 0.96s
% Output : Proof 2.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV421-1.100 : TPTP v8.1.0. Released v3.5.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 03:07:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 1.10/0.96 % SZS status Unsatisfiable
% 1.10/0.96 % SZS output start Proof
% 1.10/0.96 tff(xuntil22_type, type, (
% 1.10/0.96 xuntil22: $i > $o)).
% 1.10/0.96 tff(s99_type, type, (
% 1.10/0.96 s99: $i)).
% 1.10/0.96 tff(node20_type, type, (
% 1.10/0.96 node20: $i > $o)).
% 1.10/0.96 tff(m_main_v_state1_type, type, (
% 1.10/0.96 m_main_v_state1: ( $i * $i ) > $o)).
% 1.10/0.96 tff(c_t1_type, type, (
% 1.10/0.96 c_t1: $i)).
% 1.10/0.96 tff(c_n1_type, type, (
% 1.10/0.96 c_n1: $i)).
% 1.10/0.96 tff(node5_type, type, (
% 1.10/0.96 node5: $i > $o)).
% 1.10/0.96 tff(s98_type, type, (
% 1.10/0.96 s98: $i)).
% 1.10/0.96 tff(c_c1_type, type, (
% 1.10/0.96 c_c1: $i)).
% 1.10/0.96 tff(node3_type, type, (
% 1.10/0.96 node3: $i > $o)).
% 1.10/0.96 tff(s97_type, type, (
% 1.10/0.96 s97: $i)).
% 1.10/0.96 tff(m_main_v_state2_type, type, (
% 1.10/0.96 m_main_v_state2: ( $i * $i ) > $o)).
% 1.10/0.96 tff(c_c2_type, type, (
% 1.10/0.96 c_c2: $i)).
% 1.10/0.96 tff(c_n2_type, type, (
% 1.10/0.96 c_n2: $i)).
% 1.10/0.96 tff(node12_type, type, (
% 1.10/0.96 node12: $i > $o)).
% 1.10/0.96 tff(s96_type, type, (
% 1.10/0.96 s96: $i)).
% 1.10/0.96 tff(c_t2_type, type, (
% 1.10/0.96 c_t2: $i)).
% 1.10/0.96 tff(node9_type, type, (
% 1.10/0.96 node9: $i > $o)).
% 1.10/0.96 tff(s95_type, type, (
% 1.10/0.96 s95: $i)).
% 1.10/0.96 tff(node13_type, type, (
% 1.10/0.96 node13: ( $i * $i ) > $o)).
% 1.10/0.96 tff(s94_type, type, (
% 1.10/0.96 s94: $i)).
% 1.10/0.96 tff(m_main_v_turn_type, type, (
% 1.10/0.96 m_main_v_turn: ( $i * $i ) > $o)).
% 1.10/0.96 tff(c_2_type, type, (
% 1.10/0.96 c_2: $i)).
% 1.10/0.96 tff(c_1_type, type, (
% 1.10/0.96 c_1: $i)).
% 1.10/0.96 tff(s93_type, type, (
% 1.10/0.96 s93: $i)).
% 1.10/0.96 tff(node6_type, type, (
% 1.10/0.96 node6: ( $i * $i ) > $o)).
% 1.10/0.96 tff(s92_type, type, (
% 1.10/0.96 s92: $i)).
% 1.10/0.96 tff(node1_type, type, (
% 1.10/0.96 node1: $i > $o)).
% 1.10/0.96 tff(s91_type, type, (
% 1.10/0.96 s91: $i)).
% 1.10/0.96 tff(s90_type, type, (
% 1.10/0.96 s90: $i)).
% 1.10/0.96 tff(s89_type, type, (
% 1.10/0.96 s89: $i)).
% 1.10/0.96 tff(s88_type, type, (
% 1.10/0.96 s88: $i)).
% 1.10/0.96 tff(s87_type, type, (
% 1.10/0.96 s87: $i)).
% 1.10/0.96 tff(s86_type, type, (
% 1.10/0.96 s86: $i)).
% 1.10/0.96 tff(s85_type, type, (
% 1.10/0.96 s85: $i)).
% 1.10/0.96 tff(s84_type, type, (
% 1.10/0.96 s84: $i)).
% 1.10/0.96 tff(s83_type, type, (
% 1.10/0.96 s83: $i)).
% 1.10/0.96 tff(s82_type, type, (
% 1.10/0.96 s82: $i)).
% 1.10/0.96 tff(s81_type, type, (
% 1.10/0.96 s81: $i)).
% 1.10/0.96 tff(s80_type, type, (
% 1.10/0.96 s80: $i)).
% 1.10/0.96 tff(s79_type, type, (
% 1.10/0.96 s79: $i)).
% 1.10/0.96 tff(s78_type, type, (
% 1.10/0.96 s78: $i)).
% 1.10/0.96 tff(s77_type, type, (
% 1.10/0.96 s77: $i)).
% 1.10/0.96 tff(s76_type, type, (
% 1.10/0.96 s76: $i)).
% 1.10/0.96 tff(s75_type, type, (
% 1.10/0.96 s75: $i)).
% 1.10/0.96 tff(s74_type, type, (
% 1.10/0.96 s74: $i)).
% 1.10/0.96 tff(s73_type, type, (
% 1.10/0.96 s73: $i)).
% 1.10/0.96 tff(s72_type, type, (
% 1.10/0.96 s72: $i)).
% 1.10/0.96 tff(s71_type, type, (
% 1.10/0.96 s71: $i)).
% 1.10/0.96 tff(s70_type, type, (
% 1.10/0.96 s70: $i)).
% 1.10/0.96 tff(s69_type, type, (
% 1.10/0.96 s69: $i)).
% 1.10/0.96 tff(s68_type, type, (
% 1.10/0.96 s68: $i)).
% 1.10/0.96 tff(s67_type, type, (
% 1.10/0.96 s67: $i)).
% 1.10/0.96 tff(s66_type, type, (
% 1.10/0.96 s66: $i)).
% 1.10/0.96 tff(s65_type, type, (
% 1.10/0.96 s65: $i)).
% 1.10/0.96 tff(s64_type, type, (
% 1.10/0.96 s64: $i)).
% 1.10/0.96 tff(s63_type, type, (
% 1.10/0.96 s63: $i)).
% 1.10/0.96 tff(s62_type, type, (
% 1.10/0.96 s62: $i)).
% 1.10/0.96 tff(s61_type, type, (
% 1.10/0.96 s61: $i)).
% 1.10/0.96 tff(s60_type, type, (
% 1.10/0.96 s60: $i)).
% 1.10/0.96 tff(s59_type, type, (
% 1.10/0.96 s59: $i)).
% 1.10/0.96 tff(s58_type, type, (
% 1.10/0.96 s58: $i)).
% 1.10/0.96 tff(s57_type, type, (
% 1.10/0.96 s57: $i)).
% 1.10/0.96 tff(s56_type, type, (
% 1.10/0.96 s56: $i)).
% 1.10/0.96 tff(s55_type, type, (
% 1.10/0.96 s55: $i)).
% 1.10/0.96 tff(s54_type, type, (
% 1.10/0.96 s54: $i)).
% 1.10/0.96 tff(s53_type, type, (
% 1.10/0.96 s53: $i)).
% 1.10/0.96 tff(s52_type, type, (
% 1.10/0.96 s52: $i)).
% 1.10/0.96 tff(s51_type, type, (
% 1.10/0.96 s51: $i)).
% 1.10/0.96 tff(s50_type, type, (
% 1.10/0.96 s50: $i)).
% 1.10/0.96 tff(s49_type, type, (
% 1.10/0.96 s49: $i)).
% 1.10/0.96 tff(s48_type, type, (
% 1.10/0.96 s48: $i)).
% 1.10/0.96 tff(s47_type, type, (
% 1.10/0.96 s47: $i)).
% 1.10/0.96 tff(s46_type, type, (
% 1.10/0.96 s46: $i)).
% 1.10/0.96 tff(s45_type, type, (
% 1.10/0.96 s45: $i)).
% 1.10/0.96 tff(s44_type, type, (
% 1.10/0.96 s44: $i)).
% 1.10/0.96 tff(s43_type, type, (
% 1.10/0.96 s43: $i)).
% 1.10/0.96 tff(s42_type, type, (
% 1.10/0.96 s42: $i)).
% 1.10/0.96 tff(s41_type, type, (
% 1.10/0.96 s41: $i)).
% 1.10/0.96 tff(s40_type, type, (
% 1.10/0.96 s40: $i)).
% 1.10/0.96 tff(s39_type, type, (
% 1.10/0.96 s39: $i)).
% 1.10/0.96 tff(s38_type, type, (
% 1.10/0.96 s38: $i)).
% 1.10/0.96 tff(s37_type, type, (
% 1.10/0.96 s37: $i)).
% 1.10/0.96 tff(s36_type, type, (
% 1.10/0.96 s36: $i)).
% 1.10/0.96 tff(s35_type, type, (
% 1.10/0.96 s35: $i)).
% 1.10/0.96 tff(s34_type, type, (
% 1.10/0.96 s34: $i)).
% 1.10/0.96 tff(s33_type, type, (
% 1.10/0.96 s33: $i)).
% 1.10/0.96 tff(s32_type, type, (
% 1.10/0.96 s32: $i)).
% 1.10/0.96 tff(s31_type, type, (
% 1.10/0.96 s31: $i)).
% 1.10/0.96 tff(s30_type, type, (
% 1.10/0.96 s30: $i)).
% 1.10/0.96 tff(s29_type, type, (
% 1.10/0.96 s29: $i)).
% 1.10/0.96 tff(s28_type, type, (
% 1.10/0.96 s28: $i)).
% 1.10/0.96 tff(s27_type, type, (
% 1.10/0.96 s27: $i)).
% 1.10/0.96 tff(s26_type, type, (
% 1.10/0.96 s26: $i)).
% 1.10/0.96 tff(s25_type, type, (
% 1.10/0.96 s25: $i)).
% 1.10/0.96 tff(s24_type, type, (
% 1.10/0.96 s24: $i)).
% 1.10/0.96 tff(s23_type, type, (
% 1.10/0.96 s23: $i)).
% 1.10/0.96 tff(s22_type, type, (
% 1.10/0.96 s22: $i)).
% 1.10/0.96 tff(s21_type, type, (
% 1.10/0.96 s21: $i)).
% 1.10/0.96 tff(s20_type, type, (
% 1.10/0.96 s20: $i)).
% 1.10/0.96 tff(s19_type, type, (
% 1.10/0.96 s19: $i)).
% 1.10/0.96 tff(s18_type, type, (
% 1.10/0.96 s18: $i)).
% 1.10/0.96 tff(s17_type, type, (
% 1.10/0.96 s17: $i)).
% 1.10/0.96 tff(s16_type, type, (
% 1.10/0.96 s16: $i)).
% 1.10/0.96 tff(s15_type, type, (
% 1.10/0.96 s15: $i)).
% 1.10/0.96 tff(s14_type, type, (
% 1.10/0.96 s14: $i)).
% 1.10/0.96 tff(s13_type, type, (
% 1.10/0.96 s13: $i)).
% 1.10/0.96 tff(s12_type, type, (
% 1.10/0.96 s12: $i)).
% 1.10/0.96 tff(s11_type, type, (
% 1.10/0.96 s11: $i)).
% 1.10/0.96 tff(s10_type, type, (
% 1.10/0.96 s10: $i)).
% 1.10/0.96 tff(s9_type, type, (
% 1.10/0.96 s9: $i)).
% 1.10/0.96 tff(s8_type, type, (
% 1.10/0.96 s8: $i)).
% 1.10/0.96 tff(s7_type, type, (
% 1.10/0.96 s7: $i)).
% 1.10/0.96 tff(s6_type, type, (
% 1.10/0.96 s6: $i)).
% 1.10/0.96 tff(s5_type, type, (
% 1.10/0.96 s5: $i)).
% 1.10/0.96 tff(s4_type, type, (
% 1.10/0.96 s4: $i)).
% 1.10/0.96 tff(s3_type, type, (
% 1.10/0.96 s3: $i)).
% 1.10/0.96 tff(s2_type, type, (
% 1.10/0.96 s2: $i)).
% 1.10/0.96 tff(s1_type, type, (
% 1.10/0.96 s1: $i)).
% 1.10/0.96 tff(node17_type, type, (
% 1.10/0.96 node17: ( $i * $i ) > $o)).
% 1.10/0.96 tff(s0_type, type, (
% 1.10/0.96 s0: $i)).
% 1.10/0.96 tff(node15_type, type, (
% 1.10/0.96 node15: $i > $o)).
% 1.10/0.96 tff(node16_type, type, (
% 1.10/0.96 node16: $i > $o)).
% 1.10/0.96 tff(node18_type, type, (
% 1.10/0.96 node18: ( $i * $i ) > $o)).
% 1.10/0.96 tff(trans_type, type, (
% 1.10/0.96 trans: ( $i * $i ) > $o)).
% 1.10/0.96 tff(succ_type, type, (
% 1.10/0.96 succ: ( $i * $i ) > $o)).
% 1.10/0.96 tff(node4_type, type, (
% 1.10/0.96 node4: $i > $o)).
% 1.10/0.96 tff(node8_type, type, (
% 1.10/0.96 node8: $i > $o)).
% 1.10/0.96 tff(node14_type, type, (
% 1.10/0.96 node14: ( $i * $i ) > $o)).
% 1.10/0.96 tff(node2_type, type, (
% 1.10/0.96 node2: $i > $o)).
% 1.10/0.96 tff(node7_type, type, (
% 1.10/0.96 node7: ( $i * $i ) > $o)).
% 1.10/0.96 tff(node11_type, type, (
% 1.10/0.96 node11: $i > $o)).
% 1.10/0.96 tff(node10_type, type, (
% 1.10/0.96 node10: $i > $o)).
% 1.10/0.96 tff(until21_type, type, (
% 1.10/0.96 until21: $i > $o)).
% 1.10/0.96 tff(always19_type, type, (
% 1.10/0.96 always19: $i > $o)).
% 1.10/0.96 tff(until2p23_type, type, (
% 1.10/0.96 until2p23: $i > $o)).
% 1.10/0.96 tff(xuntil2p24_type, type, (
% 1.10/0.96 xuntil2p24: $i > $o)).
% 1.10/0.96 tff(last_type, type, (
% 1.10/0.96 last: $i > $o)).
% 1.10/0.96 tff(loop_type, type, (
% 1.10/0.96 loop: $o)).
% 1.10/0.96 tff(1,plain,
% 1.10/0.96 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(2,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_12')).
% 1.10/0.96 tff(3,plain,
% 1.10/0.96 (m_main_v_state2(s0, c_n2)),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[2, 1])).
% 1.10/0.96 tff(4,plain,
% 1.10/0.96 (^[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))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(5,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[4])).
% 1.10/0.96 tff(6,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(7,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 1.10/0.96 tff(8,plain,
% 1.10/0.96 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[7, 6])).
% 1.10/0.96 tff(9,plain,(
% 1.10/0.96 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[8])).
% 1.10/0.96 tff(10,plain,
% 1.10/0.96 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[9, 5])).
% 1.10/0.96 tff(11,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(12,plain,
% 1.10/0.96 ((~![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)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(13,plain,
% 1.10/0.96 ((~![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))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[12, 11])).
% 1.10/0.96 tff(14,plain,
% 1.10/0.96 (~m_main_v_state2(s0, c_t2)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 1.10/0.96 tff(15,plain,
% 1.10/0.96 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(16,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[15])).
% 1.10/0.96 tff(17,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(18,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_57')).
% 1.10/0.96 tff(19,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[18, 17])).
% 1.10/0.96 tff(20,plain,(
% 1.10/0.96 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[19])).
% 1.10/0.96 tff(21,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[20, 16])).
% 1.10/0.96 tff(22,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(23,plain,
% 1.10/0.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(24,plain,
% 1.10/0.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[23, 22])).
% 1.10/0.96 tff(25,plain,
% 1.10/0.96 (~node15(s0)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 1.10/0.96 tff(26,plain,
% 1.10/0.96 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(27,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_11')).
% 1.10/0.96 tff(28,plain,
% 1.10/0.96 (m_main_v_state1(s0, c_n1)),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[27, 26])).
% 1.10/0.96 tff(29,plain,
% 1.10/0.96 (^[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))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(30,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[29])).
% 1.10/0.96 tff(31,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(32,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 1.10/0.96 tff(33,plain,
% 1.10/0.96 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[32, 31])).
% 1.10/0.96 tff(34,plain,(
% 1.10/0.96 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[33])).
% 1.10/0.96 tff(35,plain,
% 1.10/0.96 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[34, 30])).
% 1.10/0.96 tff(36,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(37,plain,
% 1.10/0.96 ((~![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)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(38,plain,
% 1.10/0.96 ((~![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))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[37, 36])).
% 1.10/0.96 tff(39,plain,
% 1.10/0.96 (~m_main_v_state1(s0, c_t1)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[38, 35, 28])).
% 1.10/0.96 tff(40,plain,
% 1.10/0.96 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(41,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[40])).
% 1.10/0.96 tff(42,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(43,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_59')).
% 1.10/0.96 tff(44,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[43, 42])).
% 1.10/0.96 tff(45,plain,(
% 1.10/0.96 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[44])).
% 1.10/0.96 tff(46,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[45, 41])).
% 1.10/0.96 tff(47,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(48,plain,
% 1.10/0.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(49,plain,
% 1.10/0.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[48, 47])).
% 1.10/0.96 tff(50,plain,
% 1.10/0.96 (~node16(s0)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 1.10/0.96 tff(51,plain,
% 1.10/0.96 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(52,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[51])).
% 1.10/0.96 tff(53,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(54,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound101')).
% 1.10/0.96 tff(55,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[54, 53])).
% 1.10/0.96 tff(56,plain,(
% 1.10/0.96 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 1.10/0.96 inference(skolemize,[status(sab)],[55])).
% 1.10/0.96 tff(57,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[56, 52])).
% 1.10/0.96 tff(58,plain,
% 1.10/0.96 (succ(s0, s1) <=> succ(s0, s1)),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(59,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 1.10/0.96 tff(60,plain,
% 1.10/0.96 (succ(s0, s1)),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[59, 58])).
% 1.10/0.96 tff(61,plain,
% 1.10/0.96 (((~![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))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(62,plain,
% 1.10/0.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(63,plain,
% 1.10/0.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[62, 61])).
% 1.10/0.96 tff(64,plain,
% 1.10/0.96 (trans(s0, s1)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[63, 60, 57])).
% 1.10/0.96 tff(65,plain,
% 1.10/0.96 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(66,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[65])).
% 1.10/0.96 tff(67,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(68,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_65')).
% 1.10/0.96 tff(69,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[68, 67])).
% 1.10/0.96 tff(70,plain,(
% 1.10/0.96 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 1.10/0.96 inference(skolemize,[status(sab)],[69])).
% 1.10/0.96 tff(71,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[70, 66])).
% 1.10/0.96 tff(72,plain,
% 1.10/0.96 (((~![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))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(73,plain,
% 1.10/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(74,plain,
% 1.10/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[73, 72])).
% 1.10/0.96 tff(75,plain,
% 1.10/0.96 (node18(s0, s1)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[74, 71, 64])).
% 1.10/0.96 tff(76,plain,
% 1.10/0.96 (^[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))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(77,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[76])).
% 1.10/0.96 tff(78,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(79,plain,
% 1.10/0.96 (^[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)))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(80,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[79])).
% 1.10/0.96 tff(81,axiom,(![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_64')).
% 1.10/0.96 tff(82,plain,
% 1.10/0.96 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[81, 80])).
% 1.10/0.96 tff(83,plain,
% 1.10/0.96 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[82, 78])).
% 1.10/0.96 tff(84,plain,(
% 1.10/0.96 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[83])).
% 1.10/0.96 tff(85,plain,
% 1.10/0.96 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[84, 77])).
% 1.10/0.96 tff(86,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(87,plain,
% 1.10/0.96 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(88,plain,
% 1.10/0.96 (((~![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))))),
% 1.10/0.96 inference(monotonicity,[status(thm)],[87])).
% 1.10/0.96 tff(89,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(transitivity,[status(thm)],[88, 86])).
% 1.10/0.96 tff(90,plain,
% 1.10/0.96 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(91,plain,
% 1.10/0.96 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[90, 89])).
% 1.10/0.96 tff(92,plain,
% 1.10/0.96 (node17(s0, s1)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[91, 85, 75, 50, 25])).
% 1.10/0.96 tff(93,plain,
% 1.10/0.96 (^[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)))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(94,plain,
% 1.10/0.96 (![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))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[93])).
% 1.10/0.96 tff(95,plain,
% 1.10/0.96 (![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))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(96,plain,
% 1.10/0.96 (^[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))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(97,plain,
% 1.10/0.96 (![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))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[96])).
% 1.10/0.96 tff(98,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/sandbox2/benchmark/theBenchmark.p','m_main_60')).
% 1.10/0.96 tff(99,plain,
% 1.10/0.96 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[98, 97])).
% 1.10/0.96 tff(100,plain,
% 1.10/0.96 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[99, 95])).
% 1.10/0.96 tff(101,plain,(
% 1.10/0.96 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 1.10/0.96 inference(skolemize,[status(sab)],[100])).
% 1.10/0.96 tff(102,plain,
% 1.10/0.96 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[101, 94])).
% 1.10/0.96 tff(103,plain,
% 1.10/0.96 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(104,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_13')).
% 1.10/0.96 tff(105,plain,
% 1.10/0.96 (m_main_v_turn(s0, c_1)),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[104, 103])).
% 1.10/0.96 tff(106,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(107,plain,
% 1.10/0.96 (((~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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(108,plain,
% 1.10/0.96 (((~![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))))),
% 1.10/0.96 inference(monotonicity,[status(thm)],[107])).
% 1.10/0.96 tff(109,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(transitivity,[status(thm)],[108, 106])).
% 1.10/0.96 tff(110,plain,
% 1.10/0.96 ((~![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))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(111,plain,
% 1.10/0.96 ((~![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))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[110, 109])).
% 1.10/0.96 tff(112,plain,
% 1.10/0.96 (m_main_v_turn(s1, c_1)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[111, 105, 102, 92])).
% 1.10/0.96 tff(113,plain,
% 1.10/0.96 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(114,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[113])).
% 1.10/0.96 tff(115,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(116,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_36')).
% 1.10/0.96 tff(117,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[116, 115])).
% 1.10/0.96 tff(118,plain,(
% 1.10/0.96 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[117])).
% 1.10/0.96 tff(119,plain,
% 1.10/0.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[118, 114])).
% 1.10/0.96 tff(120,plain,
% 1.10/0.96 (((~![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(121,plain,
% 1.10/0.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(122,plain,
% 1.10/0.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[121, 120])).
% 1.10/0.96 tff(123,plain,
% 1.10/0.96 (~node8(s0)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[122, 119, 39])).
% 1.10/0.96 tff(124,plain,
% 1.10/0.96 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(125,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[124])).
% 1.10/0.96 tff(126,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(127,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_55')).
% 1.10/0.96 tff(128,plain,
% 1.10/0.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[127, 126])).
% 1.10/0.97 tff(129,plain,(
% 1.10/0.97 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 1.10/0.97 inference(skolemize,[status(sab)],[128])).
% 1.10/0.97 tff(130,plain,
% 1.10/0.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[129, 125])).
% 1.10/0.97 tff(131,plain,
% 1.10/0.97 (((~![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))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(132,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(133,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[132, 131])).
% 1.10/0.97 tff(134,plain,
% 1.10/0.97 (node14(s0, s1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[133, 130, 64])).
% 1.10/0.97 tff(135,plain,
% 1.10/0.97 (^[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)))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(136,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[135])).
% 1.10/0.97 tff(137,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(138,plain,
% 1.10/0.97 (^[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))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(139,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[138])).
% 1.10/0.97 tff(140,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/sandbox2/benchmark/theBenchmark.p','m_main_49')).
% 1.10/0.97 tff(141,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[140, 139])).
% 1.10/0.97 tff(142,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[141, 137])).
% 1.10/0.97 tff(143,plain,(
% 1.10/0.97 ![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))),
% 1.10/0.97 inference(skolemize,[status(sab)],[142])).
% 1.10/0.97 tff(144,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[143, 136])).
% 1.10/0.97 tff(145,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(146,plain,
% 1.10/0.97 (((~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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(147,plain,
% 1.10/0.97 (((~![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))))),
% 1.10/0.97 inference(monotonicity,[status(thm)],[146])).
% 1.10/0.97 tff(148,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(transitivity,[status(thm)],[147, 145])).
% 1.10/0.97 tff(149,plain,
% 1.10/0.97 ((~![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))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(150,plain,
% 1.10/0.97 ((~![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[149, 148])).
% 1.10/0.97 tff(151,plain,
% 1.10/0.97 (m_main_v_state2(s1, c_t2)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[150, 28, 3, 144, 134, 123])).
% 1.10/0.97 tff(152,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(153,plain,
% 1.10/0.97 ((~![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)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(154,plain,
% 1.10/0.97 ((~![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[153, 152])).
% 1.10/0.97 tff(155,plain,
% 1.10/0.97 (~m_main_v_state2(s1, c_n2)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[154, 10, 151])).
% 1.10/0.97 tff(156,plain,
% 1.10/0.97 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(157,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[156])).
% 1.10/0.97 tff(158,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(159,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_21')).
% 1.10/0.97 tff(160,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[159, 158])).
% 1.10/0.97 tff(161,plain,(
% 1.10/0.97 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 1.10/0.97 inference(skolemize,[status(sab)],[160])).
% 1.10/0.97 tff(162,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[161, 157])).
% 1.10/0.97 tff(163,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(164,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(165,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[164, 163])).
% 1.10/0.97 tff(166,plain,
% 1.10/0.97 (~node4(s1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[165, 162, 155])).
% 1.10/0.97 tff(167,plain,
% 1.10/0.97 (^[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))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(168,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[167])).
% 1.10/0.97 tff(169,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(170,axiom,(![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_8')).
% 1.10/0.97 tff(171,plain,
% 1.10/0.97 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[170, 169])).
% 1.10/0.97 tff(172,plain,(
% 1.10/0.97 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 1.10/0.97 inference(skolemize,[status(sab)],[171])).
% 1.10/0.97 tff(173,plain,
% 1.10/0.97 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[172, 168])).
% 1.10/0.97 tff(174,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(175,plain,
% 1.10/0.97 ((~![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)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(176,plain,
% 1.10/0.97 ((~![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[175, 174])).
% 1.10/0.97 tff(177,plain,
% 1.10/0.97 (~m_main_v_state2(s1, c_c2)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[176, 173, 151])).
% 1.10/0.97 tff(178,plain,
% 1.10/0.97 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(179,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[178])).
% 1.10/0.97 tff(180,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(181,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_19')).
% 1.10/0.97 tff(182,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[181, 180])).
% 1.10/0.97 tff(183,plain,(
% 1.10/0.97 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 1.10/0.97 inference(skolemize,[status(sab)],[182])).
% 1.10/0.97 tff(184,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[183, 179])).
% 1.10/0.97 tff(185,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(186,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(187,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[186, 185])).
% 1.10/0.97 tff(188,plain,
% 1.10/0.97 (~node3(s1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 1.10/0.97 tff(189,plain,
% 1.10/0.97 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(190,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[189])).
% 1.10/0.97 tff(191,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_17')).
% 1.10/0.97 tff(193,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[192, 191])).
% 1.10/0.97 tff(194,plain,(
% 1.10/0.97 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 1.10/0.97 inference(skolemize,[status(sab)],[193])).
% 1.10/0.97 tff(195,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[194, 190])).
% 1.10/0.97 tff(196,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(197,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(198,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[197, 196])).
% 1.10/0.97 tff(199,plain,
% 1.10/0.97 (~node2(s1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[198, 195, 155])).
% 1.10/0.97 tff(200,plain,
% 1.10/0.97 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(201,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[200])).
% 1.10/0.97 tff(202,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(203,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_15')).
% 1.10/0.97 tff(204,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[203, 202])).
% 1.10/0.97 tff(205,plain,(
% 1.10/0.97 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 1.10/0.97 inference(skolemize,[status(sab)],[204])).
% 1.10/0.97 tff(206,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[205, 201])).
% 1.10/0.97 tff(207,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(208,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(209,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[208, 207])).
% 1.10/0.97 tff(210,plain,
% 1.10/0.97 (~node1(s0)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[209, 206, 14])).
% 1.10/0.97 tff(211,plain,
% 1.10/0.97 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(212,plain,
% 1.10/0.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[211])).
% 1.10/0.97 tff(213,plain,
% 1.10/0.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(214,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_34')).
% 1.10/0.97 tff(215,plain,
% 1.10/0.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[214, 213])).
% 1.10/0.97 tff(216,plain,(
% 1.10/0.97 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 1.10/0.97 inference(skolemize,[status(sab)],[215])).
% 1.10/0.97 tff(217,plain,
% 1.10/0.97 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[216, 212])).
% 1.10/0.97 tff(218,plain,
% 1.10/0.97 (((~![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))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(219,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(220,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[219, 218])).
% 1.10/0.97 tff(221,plain,
% 1.10/0.97 (node7(s0, s1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[220, 217, 64])).
% 1.10/0.97 tff(222,plain,
% 1.10/0.97 (^[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)))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(223,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[222])).
% 1.10/0.97 tff(224,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(225,plain,
% 1.10/0.97 (^[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))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(226,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[225])).
% 1.10/0.97 tff(227,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/sandbox2/benchmark/theBenchmark.p','m_main_28')).
% 1.10/0.97 tff(228,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[227, 226])).
% 1.10/0.97 tff(229,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[228, 224])).
% 1.10/0.97 tff(230,plain,(
% 1.10/0.97 ![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))),
% 1.10/0.97 inference(skolemize,[status(sab)],[229])).
% 1.10/0.97 tff(231,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[230, 223])).
% 1.10/0.97 tff(232,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(233,plain,
% 1.10/0.97 (((~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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(234,plain,
% 1.10/0.97 (((~![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))))),
% 1.10/0.97 inference(monotonicity,[status(thm)],[233])).
% 1.10/0.97 tff(235,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(transitivity,[status(thm)],[234, 232])).
% 1.10/0.97 tff(236,plain,
% 1.10/0.97 ((~![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))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(237,plain,
% 1.10/0.97 ((~![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[236, 235])).
% 1.10/0.97 tff(238,plain,
% 1.10/0.97 (m_main_v_state1(s1, c_t1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[237, 28, 3, 231, 221, 210])).
% 1.10/0.97 tff(239,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(240,plain,
% 1.10/0.97 ((~![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)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(241,plain,
% 1.10/0.97 ((~![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))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[240, 239])).
% 1.10/0.97 tff(242,plain,
% 1.10/0.97 (~m_main_v_state1(s1, c_n1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[241, 35, 238])).
% 1.10/0.97 tff(243,plain,
% 1.10/0.97 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(244,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[243])).
% 1.10/0.97 tff(245,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(246,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_14')).
% 1.10/0.97 tff(247,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[246, 245])).
% 1.10/0.97 tff(248,plain,(
% 1.10/0.97 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 1.10/0.97 inference(skolemize,[status(sab)],[247])).
% 1.10/0.97 tff(249,plain,
% 1.10/0.97 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[248, 244])).
% 1.10/0.97 tff(250,plain,
% 1.10/0.97 (((~![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(251,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(252,plain,
% 1.10/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[251, 250])).
% 1.10/0.97 tff(253,plain,
% 1.10/0.97 (~node1(s1)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[252, 249, 242])).
% 1.10/0.97 tff(254,plain,
% 1.10/0.97 (succ(s1, s2) <=> succ(s1, s2)),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(255,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 1.10/0.97 tff(256,plain,
% 1.10/0.97 (succ(s1, s2)),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[255, 254])).
% 1.10/0.97 tff(257,plain,
% 1.10/0.97 (((~![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))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(258,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(259,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[258, 257])).
% 1.10/0.97 tff(260,plain,
% 1.10/0.97 (trans(s1, s2)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[259, 256, 57])).
% 1.10/0.97 tff(261,plain,
% 1.10/0.97 (((~![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))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(262,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(263,plain,
% 1.10/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[262, 261])).
% 1.10/0.97 tff(264,plain,
% 1.10/0.97 (node7(s1, s2)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[263, 217, 260])).
% 1.10/0.97 tff(265,plain,
% 1.10/0.97 (^[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)))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(266,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[265])).
% 1.10/0.97 tff(267,plain,
% 1.10/0.97 (![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))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(268,plain,
% 1.10/0.97 (^[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))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(269,plain,
% 1.10/0.98 (![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))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[268])).
% 1.10/0.98 tff(270,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/sandbox2/benchmark/theBenchmark.p','m_main_31')).
% 1.10/0.98 tff(271,plain,
% 1.10/0.98 (![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))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[270, 269])).
% 1.10/0.98 tff(272,plain,
% 1.10/0.98 (![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))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[271, 267])).
% 1.10/0.98 tff(273,plain,(
% 1.10/0.98 ![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))),
% 1.10/0.98 inference(skolemize,[status(sab)],[272])).
% 1.10/0.98 tff(274,plain,
% 1.10/0.98 (![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))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[273, 266])).
% 1.10/0.98 tff(275,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(276,plain,
% 1.10/0.98 (((~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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(277,plain,
% 1.10/0.98 (((~![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))))),
% 1.10/0.98 inference(monotonicity,[status(thm)],[276])).
% 1.10/0.98 tff(278,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(transitivity,[status(thm)],[277, 275])).
% 1.10/0.98 tff(279,plain,
% 1.10/0.98 ((~![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))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(280,plain,
% 1.10/0.98 ((~![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))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[279, 278])).
% 1.10/0.98 tff(281,plain,
% 1.10/0.98 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[280, 274, 264, 151, 238])).
% 1.10/0.98 tff(282,plain,
% 1.10/0.98 (m_main_v_state1(s2, c_c1)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[281, 253, 199, 188, 166, 112])).
% 1.10/0.98 tff(283,plain,
% 1.10/0.98 (^[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))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(284,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[283])).
% 1.10/0.98 tff(285,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(286,axiom,(![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_4')).
% 1.10/0.98 tff(287,plain,
% 1.10/0.98 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[286, 285])).
% 1.10/0.98 tff(288,plain,(
% 1.10/0.98 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[287])).
% 1.10/0.98 tff(289,plain,
% 1.10/0.98 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[288, 284])).
% 1.10/0.98 tff(290,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(291,plain,
% 1.10/0.98 ((~![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)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(292,plain,
% 1.10/0.98 ((~![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))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[291, 290])).
% 1.10/0.98 tff(293,plain,
% 1.10/0.98 (~m_main_v_state1(s2, c_t1)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[292, 289, 282])).
% 1.10/0.98 tff(294,plain,
% 1.10/0.98 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(295,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[294])).
% 1.10/0.98 tff(296,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(297,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_22')).
% 1.10/0.98 tff(298,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[297, 296])).
% 1.10/0.98 tff(299,plain,(
% 1.10/0.98 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[298])).
% 1.10/0.98 tff(300,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[299, 295])).
% 1.10/0.98 tff(301,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(302,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(303,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[302, 301])).
% 1.10/0.98 tff(304,plain,
% 1.10/0.98 (~node5(s2)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[303, 300, 293])).
% 1.10/0.98 tff(305,plain,
% 1.10/0.98 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(306,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[305])).
% 1.10/0.98 tff(307,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(308,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_37')).
% 1.10/0.98 tff(309,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[308, 307])).
% 1.10/0.98 tff(310,plain,(
% 1.10/0.98 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[309])).
% 1.10/0.98 tff(311,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[310, 306])).
% 1.10/0.98 tff(312,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(313,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(314,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[313, 312])).
% 1.10/0.98 tff(315,plain,
% 1.10/0.98 (~node9(s1)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[314, 311, 155])).
% 1.10/0.98 tff(316,plain,
% 1.10/0.98 (^[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))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(317,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[316])).
% 1.10/0.98 tff(318,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(319,axiom,(![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_10')).
% 1.10/0.98 tff(320,plain,
% 1.10/0.98 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[319, 318])).
% 1.10/0.98 tff(321,plain,(
% 1.10/0.98 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[320])).
% 1.10/0.98 tff(322,plain,
% 1.10/0.98 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[321, 317])).
% 1.10/0.98 tff(323,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(324,plain,
% 1.10/0.98 ((~![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)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(325,plain,
% 1.10/0.98 ((~![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))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[324, 323])).
% 1.10/0.98 tff(326,plain,
% 1.10/0.98 (~m_main_v_turn(s0, c_2)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[325, 322, 105])).
% 1.10/0.98 tff(327,plain,
% 1.10/0.98 (^[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))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(328,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[327])).
% 1.10/0.98 tff(329,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(330,plain,
% 1.10/0.98 (^[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))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(331,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[330])).
% 1.10/0.98 tff(332,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/sandbox2/benchmark/theBenchmark.p','m_main_61')).
% 1.10/0.98 tff(333,plain,
% 1.10/0.98 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[332, 331])).
% 1.10/0.98 tff(334,plain,
% 1.10/0.98 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[333, 329])).
% 1.10/0.98 tff(335,plain,(
% 1.10/0.98 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[334])).
% 1.10/0.98 tff(336,plain,
% 1.10/0.98 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[335, 328])).
% 1.10/0.98 tff(337,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(338,plain,
% 1.10/0.98 (((~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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(339,plain,
% 1.10/0.98 (((~![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))))),
% 1.10/0.98 inference(monotonicity,[status(thm)],[338])).
% 1.10/0.98 tff(340,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(transitivity,[status(thm)],[339, 337])).
% 1.10/0.98 tff(341,plain,
% 1.10/0.98 ((~![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)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(342,plain,
% 1.10/0.98 ((~![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))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[341, 340])).
% 1.10/0.98 tff(343,plain,
% 1.10/0.98 (~m_main_v_turn(s1, c_2)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[342, 336, 326, 92])).
% 1.10/0.98 tff(344,plain,
% 1.10/0.98 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(345,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[344])).
% 1.10/0.98 tff(346,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(347,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_45')).
% 1.10/0.98 tff(348,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[347, 346])).
% 1.10/0.98 tff(349,plain,(
% 1.10/0.98 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[348])).
% 1.10/0.98 tff(350,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[349, 345])).
% 1.10/0.98 tff(351,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(352,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(353,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[352, 351])).
% 1.10/0.98 tff(354,plain,
% 1.10/0.98 (~node12(s1)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[353, 350, 343])).
% 1.10/0.98 tff(355,plain,
% 1.10/0.98 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(356,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[355])).
% 1.10/0.98 tff(357,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(358,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_42')).
% 1.10/0.98 tff(359,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[358, 357])).
% 1.10/0.98 tff(360,plain,(
% 1.10/0.98 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[359])).
% 1.10/0.98 tff(361,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[360, 356])).
% 1.10/0.98 tff(362,plain,
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% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(363,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(364,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[363, 362])).
% 1.10/0.98 tff(365,plain,
% 1.10/0.98 (~node11(s1)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[364, 361, 242])).
% 1.10/0.98 tff(366,plain,
% 1.10/0.98 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(367,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[366])).
% 1.10/0.98 tff(368,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(369,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_39')).
% 1.10/0.98 tff(370,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[369, 368])).
% 1.10/0.98 tff(371,plain,(
% 1.10/0.98 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[370])).
% 1.10/0.98 tff(372,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[371, 367])).
% 1.10/0.98 tff(373,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(374,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(375,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[374, 373])).
% 1.10/0.98 tff(376,plain,
% 1.10/0.98 (~node10(s1)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[375, 372, 155])).
% 1.10/0.98 tff(377,plain,
% 1.10/0.98 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(378,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[377])).
% 1.10/0.98 tff(379,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(380,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_35')).
% 1.10/0.98 tff(381,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[380, 379])).
% 1.10/0.98 tff(382,plain,(
% 1.10/0.98 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[381])).
% 1.10/0.98 tff(383,plain,
% 1.10/0.98 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[382, 378])).
% 1.10/0.98 tff(384,plain,
% 1.10/0.98 (((~![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(385,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(386,plain,
% 1.10/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[385, 384])).
% 1.10/0.98 tff(387,plain,
% 1.10/0.98 (~node8(s1)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[386, 383, 155])).
% 1.10/0.98 tff(388,plain,
% 1.10/0.98 (((~![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))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(389,plain,
% 1.10/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(390,plain,
% 1.10/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[389, 388])).
% 1.10/0.98 tff(391,plain,
% 1.10/0.98 (node14(s1, s2)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[390, 130, 260])).
% 1.10/0.98 tff(392,plain,
% 1.10/0.98 (^[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))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(393,plain,
% 1.10/0.98 (![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))) <=> ![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[392])).
% 1.10/0.98 tff(394,plain,
% 1.10/0.98 (![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))) <=> ![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(395,plain,
% 1.10/0.98 (^[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)))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(396,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[395])).
% 1.10/0.99 tff(397,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/sandbox2/benchmark/theBenchmark.p','m_main_54')).
% 1.10/0.99 tff(398,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[397, 396])).
% 1.10/0.99 tff(399,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[398, 394])).
% 1.10/0.99 tff(400,plain,(
% 1.10/0.99 ![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)))),
% 1.10/0.99 inference(skolemize,[status(sab)],[399])).
% 1.10/0.99 tff(401,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[400, 393])).
% 1.10/0.99 tff(402,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(403,plain,
% 1.10/0.99 ((~![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)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(404,plain,
% 1.10/0.99 ((~![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))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[403, 402])).
% 1.10/0.99 tff(405,plain,
% 1.10/0.99 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[404, 401, 391])).
% 1.10/0.99 tff(406,plain,
% 1.10/0.99 (node13(s1, s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[405, 387, 177, 376, 365, 354, 315])).
% 1.10/0.99 tff(407,plain,
% 1.10/0.99 (^[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))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(408,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[407])).
% 1.10/0.99 tff(409,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(410,plain,
% 1.10/0.99 (^[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))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(411,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[410])).
% 1.10/0.99 tff(412,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/sandbox2/benchmark/theBenchmark.p','m_main_47')).
% 1.10/0.99 tff(413,plain,
% 1.10/0.99 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[412, 411])).
% 1.10/0.99 tff(414,plain,
% 1.10/0.99 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[413, 409])).
% 1.10/0.99 tff(415,plain,(
% 1.10/0.99 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 1.10/0.99 inference(skolemize,[status(sab)],[414])).
% 1.10/0.99 tff(416,plain,
% 1.10/0.99 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[415, 408])).
% 1.10/0.99 tff(417,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(418,plain,
% 1.10/0.99 (((~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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(419,plain,
% 1.10/0.99 (((~![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))))),
% 1.10/0.99 inference(monotonicity,[status(thm)],[418])).
% 1.10/0.99 tff(420,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(transitivity,[status(thm)],[419, 417])).
% 1.10/0.99 tff(421,plain,
% 1.10/0.99 ((~![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)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(422,plain,
% 1.10/0.99 ((~![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))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[421, 420])).
% 1.10/0.99 tff(423,plain,
% 1.10/0.99 (~m_main_v_state2(s2, c_n2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[422, 416, 155, 406])).
% 1.10/0.99 tff(424,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(425,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(426,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[425, 424])).
% 1.10/0.99 tff(427,plain,
% 1.10/0.99 (~node4(s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[426, 162, 423])).
% 1.10/0.99 tff(428,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(429,plain,
% 1.10/0.99 (((~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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(430,plain,
% 1.10/0.99 (((~![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))))),
% 1.10/0.99 inference(monotonicity,[status(thm)],[429])).
% 1.10/0.99 tff(431,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(transitivity,[status(thm)],[430, 428])).
% 1.10/0.99 tff(432,plain,
% 1.10/0.99 ((~![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)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(433,plain,
% 1.10/0.99 ((~![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))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[432, 431])).
% 1.10/0.99 tff(434,plain,
% 1.10/0.99 (~m_main_v_state2(s2, c_c2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[433, 416, 177, 406])).
% 1.10/0.99 tff(435,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(436,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(437,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[436, 435])).
% 1.10/0.99 tff(438,plain,
% 1.10/0.99 (~node3(s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[437, 184, 434])).
% 1.10/0.99 tff(439,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(440,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(441,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[440, 439])).
% 1.10/0.99 tff(442,plain,
% 1.10/0.99 (~node2(s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[441, 195, 423])).
% 1.10/0.99 tff(443,plain,
% 1.10/0.99 (^[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))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(444,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[443])).
% 1.10/0.99 tff(445,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(446,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_3')).
% 1.10/0.99 tff(447,plain,
% 1.10/0.99 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[446, 445])).
% 1.10/0.99 tff(448,plain,(
% 1.10/0.99 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 1.10/0.99 inference(skolemize,[status(sab)],[447])).
% 1.10/0.99 tff(449,plain,
% 1.10/0.99 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[448, 444])).
% 1.10/0.99 tff(450,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(451,plain,
% 1.10/0.99 ((~![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)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(452,plain,
% 1.10/0.99 ((~![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))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[451, 450])).
% 1.10/0.99 tff(453,plain,
% 1.10/0.99 (~m_main_v_state1(s2, c_n1)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[452, 449, 282])).
% 1.10/0.99 tff(454,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(455,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(456,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[455, 454])).
% 1.10/0.99 tff(457,plain,
% 1.10/0.99 (~node1(s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[456, 249, 453])).
% 1.10/0.99 tff(458,plain,
% 1.10/0.99 (succ(s2, s3) <=> succ(s2, s3)),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(459,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 1.10/0.99 tff(460,plain,
% 1.10/0.99 (succ(s2, s3)),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[459, 458])).
% 1.10/0.99 tff(461,plain,
% 1.10/0.99 (((~![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))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(462,plain,
% 1.10/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(463,plain,
% 1.10/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[462, 461])).
% 1.10/0.99 tff(464,plain,
% 1.10/0.99 (trans(s2, s3)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[463, 460, 57])).
% 1.10/0.99 tff(465,plain,
% 1.10/0.99 (((~![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))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(466,plain,
% 1.10/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(467,plain,
% 1.10/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[466, 465])).
% 1.10/0.99 tff(468,plain,
% 1.10/0.99 (node7(s2, s3)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[467, 217, 464])).
% 1.10/0.99 tff(469,plain,
% 1.10/0.99 (^[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)))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(470,plain,
% 1.10/0.99 (![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)) <=> ![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))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[469])).
% 1.10/0.99 tff(471,plain,
% 1.10/0.99 (![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)) <=> ![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))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(472,plain,
% 1.10/0.99 (^[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))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(473,plain,
% 1.10/0.99 (![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))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[472])).
% 1.10/0.99 tff(474,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/sandbox2/benchmark/theBenchmark.p','m_main_32')).
% 1.10/0.99 tff(475,plain,
% 1.10/0.99 (![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))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[474, 473])).
% 1.10/0.99 tff(476,plain,
% 1.10/0.99 (![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))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[475, 471])).
% 1.10/0.99 tff(477,plain,(
% 1.10/0.99 ![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))),
% 1.10/0.99 inference(skolemize,[status(sab)],[476])).
% 1.10/0.99 tff(478,plain,
% 1.10/0.99 (![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))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[477, 470])).
% 1.10/0.99 tff(479,plain,
% 1.10/0.99 (((~![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(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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(480,plain,
% 1.10/0.99 (((~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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(481,plain,
% 1.10/0.99 (((~![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(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))))),
% 1.10/0.99 inference(monotonicity,[status(thm)],[480])).
% 1.10/0.99 tff(482,plain,
% 1.10/0.99 (((~![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(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)))),
% 1.10/0.99 inference(transitivity,[status(thm)],[481, 479])).
% 1.10/0.99 tff(483,plain,
% 1.10/0.99 ((~![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(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(484,plain,
% 1.10/0.99 ((~![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(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[483, 482])).
% 1.10/0.99 tff(485,plain,
% 1.10/0.99 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[484, 478, 468])).
% 1.10/0.99 tff(486,plain,
% 1.10/0.99 (m_main_v_state1(s3, c_n1)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[485, 457, 282, 442, 438, 427, 304])).
% 1.10/0.99 tff(487,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(488,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(489,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[488, 487])).
% 1.10/0.99 tff(490,plain,
% 1.10/0.99 (~node9(s2)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[489, 311, 423])).
% 1.10/0.99 tff(491,plain,
% 1.10/0.99 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(492,plain,
% 1.10/0.99 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[491])).
% 1.10/0.99 tff(493,plain,
% 1.10/0.99 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(494,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_58')).
% 1.10/0.99 tff(495,plain,
% 1.10/0.99 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[494, 493])).
% 1.10/0.99 tff(496,plain,(
% 1.10/0.99 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 1.10/0.99 inference(skolemize,[status(sab)],[495])).
% 1.10/0.99 tff(497,plain,
% 1.10/0.99 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[496, 492])).
% 1.10/0.99 tff(498,plain,
% 1.10/0.99 (((~![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(499,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(500,plain,
% 1.10/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[499, 498])).
% 1.10/0.99 tff(501,plain,
% 1.10/0.99 (~node16(s1)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[500, 497, 155])).
% 1.10/0.99 tff(502,plain,
% 1.10/0.99 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(503,plain,
% 1.10/0.99 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[502])).
% 1.10/0.99 tff(504,plain,
% 1.10/0.99 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(505,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_56')).
% 1.10/0.99 tff(506,plain,
% 1.10/1.00 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[505, 504])).
% 1.10/1.00 tff(507,plain,(
% 1.10/1.00 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 1.10/1.00 inference(skolemize,[status(sab)],[506])).
% 1.10/1.00 tff(508,plain,
% 1.10/1.00 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[507, 503])).
% 1.10/1.00 tff(509,plain,
% 1.10/1.00 (((~![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)))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(510,plain,
% 1.10/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 1.10/1.00 inference(quant_inst,[status(thm)],[])).
% 1.10/1.00 tff(511,plain,
% 1.10/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[510, 509])).
% 1.10/1.00 tff(512,plain,
% 1.10/1.00 (~node15(s1)),
% 1.10/1.00 inference(unit_resolution,[status(thm)],[511, 508, 242])).
% 1.10/1.00 tff(513,plain,
% 1.10/1.00 (((~![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))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(514,plain,
% 1.10/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 1.10/1.00 inference(quant_inst,[status(thm)],[])).
% 1.10/1.00 tff(515,plain,
% 1.10/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[514, 513])).
% 1.10/1.00 tff(516,plain,
% 1.10/1.00 (node18(s1, s2)),
% 1.10/1.00 inference(unit_resolution,[status(thm)],[515, 71, 260])).
% 1.10/1.00 tff(517,plain,
% 1.10/1.00 (((~![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)))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(518,plain,
% 1.10/1.00 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 1.10/1.00 inference(quant_inst,[status(thm)],[])).
% 1.10/1.00 tff(519,plain,
% 1.10/1.00 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[518, 517])).
% 1.10/1.00 tff(520,plain,
% 1.10/1.00 (node15(s1) | node16(s1) | node17(s1, s2)),
% 1.10/1.00 inference(unit_resolution,[status(thm)],[519, 85, 516])).
% 1.10/1.00 tff(521,plain,
% 1.10/1.00 (node17(s1, s2)),
% 1.10/1.00 inference(unit_resolution,[status(thm)],[520, 512, 501])).
% 1.10/1.00 tff(522,plain,
% 1.10/1.00 (((~![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)))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(523,plain,
% 1.10/1.00 (((~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)))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(524,plain,
% 1.10/1.00 (((~![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))))),
% 1.10/1.00 inference(monotonicity,[status(thm)],[523])).
% 1.10/1.00 tff(525,plain,
% 1.10/1.00 (((~![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)))),
% 1.17/1.00 inference(transitivity,[status(thm)],[524, 522])).
% 1.17/1.00 tff(526,plain,
% 1.17/1.00 ((~![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)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(527,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[526, 525])).
% 1.17/1.00 tff(528,plain,
% 1.17/1.00 (~m_main_v_turn(s2, c_2)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[527, 336, 521, 343])).
% 1.17/1.00 tff(529,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(530,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(531,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[530, 529])).
% 1.17/1.00 tff(532,plain,
% 1.17/1.00 (~node12(s2)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[531, 350, 528])).
% 1.17/1.00 tff(533,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(534,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(535,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[534, 533])).
% 1.17/1.00 tff(536,plain,
% 1.17/1.00 (~node11(s2)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[535, 361, 453])).
% 1.17/1.00 tff(537,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(538,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(539,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[538, 537])).
% 1.17/1.00 tff(540,plain,
% 1.17/1.00 (~node10(s2)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[539, 372, 423])).
% 1.17/1.00 tff(541,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(542,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(543,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[542, 541])).
% 1.17/1.00 tff(544,plain,
% 1.17/1.00 (~node8(s2)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[543, 383, 423])).
% 1.17/1.00 tff(545,plain,
% 1.17/1.00 (((~![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(546,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(547,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[546, 545])).
% 1.17/1.00 tff(548,plain,
% 1.17/1.00 (node14(s2, s3)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[547, 130, 464])).
% 1.17/1.00 tff(549,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(550,plain,
% 1.17/1.00 ((~![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)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(551,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[550, 549])).
% 1.17/1.00 tff(552,plain,
% 1.17/1.00 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[551, 401, 548])).
% 1.17/1.00 tff(553,plain,
% 1.17/1.00 (node13(s2, s3)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[552, 544, 434, 540, 536, 532, 490])).
% 1.17/1.00 tff(554,plain,
% 1.17/1.00 (^[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)))),
% 1.17/1.00 inference(bind,[status(th)],[])).
% 1.17/1.00 tff(555,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(quant_intro,[status(thm)],[554])).
% 1.17/1.00 tff(556,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(557,plain,
% 1.17/1.00 (^[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))))),
% 1.17/1.00 inference(bind,[status(th)],[])).
% 1.17/1.00 tff(558,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(quant_intro,[status(thm)],[557])).
% 1.17/1.00 tff(559,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/sandbox2/benchmark/theBenchmark.p','m_main_46')).
% 1.17/1.00 tff(560,plain,
% 1.17/1.00 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[559, 558])).
% 1.17/1.00 tff(561,plain,
% 1.17/1.00 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[560, 556])).
% 1.17/1.00 tff(562,plain,(
% 1.17/1.00 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 1.17/1.00 inference(skolemize,[status(sab)],[561])).
% 1.17/1.00 tff(563,plain,
% 1.17/1.00 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[562, 555])).
% 1.17/1.00 tff(564,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(565,plain,
% 1.17/1.00 (((~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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(566,plain,
% 1.17/1.00 (((~![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))))),
% 1.17/1.00 inference(monotonicity,[status(thm)],[565])).
% 1.17/1.00 tff(567,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(transitivity,[status(thm)],[566, 564])).
% 1.17/1.00 tff(568,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(569,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[568, 567])).
% 1.17/1.00 tff(570,plain,
% 1.17/1.00 (m_main_v_state2(s2, c_t2)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[569, 563, 151, 406])).
% 1.17/1.00 tff(571,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(572,plain,
% 1.17/1.00 (((~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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(573,plain,
% 1.17/1.00 (((~![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))))),
% 1.17/1.00 inference(monotonicity,[status(thm)],[572])).
% 1.17/1.00 tff(574,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(transitivity,[status(thm)],[573, 571])).
% 1.17/1.00 tff(575,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(576,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[575, 574])).
% 1.17/1.00 tff(577,plain,
% 1.17/1.00 (m_main_v_state2(s3, c_t2)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[576, 563, 570, 553])).
% 1.17/1.00 tff(578,plain,
% 1.17/1.00 (succ(s3, s4) <=> succ(s3, s4)),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(579,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 1.17/1.00 tff(580,plain,
% 1.17/1.00 (succ(s3, s4)),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[579, 578])).
% 1.17/1.00 tff(581,plain,
% 1.17/1.00 (((~![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(582,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(583,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[582, 581])).
% 1.17/1.00 tff(584,plain,
% 1.17/1.00 (trans(s3, s4)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[583, 580, 57])).
% 1.17/1.00 tff(585,plain,
% 1.17/1.00 (((~![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(586,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(587,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[586, 585])).
% 1.17/1.00 tff(588,plain,
% 1.17/1.00 (node7(s3, s4)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[587, 217, 584])).
% 1.17/1.00 tff(589,plain,
% 1.17/1.00 (^[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)))),
% 1.17/1.00 inference(bind,[status(th)],[])).
% 1.17/1.00 tff(590,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(quant_intro,[status(thm)],[589])).
% 1.17/1.00 tff(591,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(592,plain,
% 1.17/1.00 (^[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))))),
% 1.17/1.00 inference(bind,[status(th)],[])).
% 1.17/1.00 tff(593,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(quant_intro,[status(thm)],[592])).
% 1.17/1.00 tff(594,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/sandbox2/benchmark/theBenchmark.p','m_main_27')).
% 1.17/1.00 tff(595,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[594, 593])).
% 1.17/1.00 tff(596,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[595, 591])).
% 1.17/1.00 tff(597,plain,(
% 1.17/1.00 ![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))),
% 1.17/1.00 inference(skolemize,[status(sab)],[596])).
% 1.17/1.00 tff(598,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[597, 590])).
% 1.17/1.00 tff(599,plain,
% 1.17/1.00 (((~![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(600,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(601,plain,
% 1.17/1.00 ((~![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)),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[600, 599])).
% 1.17/1.00 tff(602,plain,
% 1.17/1.00 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[601, 598, 588])).
% 1.17/1.00 tff(603,plain,
% 1.17/1.00 (m_main_v_state1(s4, c_t1)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[602, 577, 486])).
% 1.17/1.00 tff(604,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(605,plain,
% 1.17/1.00 ((~![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)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(606,plain,
% 1.17/1.00 ((~![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[605, 604])).
% 1.17/1.00 tff(607,plain,
% 1.17/1.00 (~m_main_v_state1(s4, c_n1)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[606, 35, 603])).
% 1.17/1.00 tff(608,plain,
% 1.17/1.00 (((~![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)))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(609,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(610,plain,
% 1.17/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[609, 608])).
% 1.17/1.00 tff(611,plain,
% 1.17/1.00 (~node1(s4)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[610, 249, 607])).
% 1.17/1.00 tff(612,plain,
% 1.17/1.00 (((~![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(613,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 1.17/1.00 inference(quant_inst,[status(thm)],[])).
% 1.17/1.00 tff(614,plain,
% 1.17/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[613, 612])).
% 1.17/1.00 tff(615,plain,
% 1.17/1.00 (node18(s3, s4)),
% 1.17/1.00 inference(unit_resolution,[status(thm)],[614, 71, 584])).
% 1.17/1.00 tff(616,plain,
% 1.17/1.00 (^[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)))),
% 1.17/1.00 inference(bind,[status(th)],[])).
% 1.17/1.00 tff(617,plain,
% 1.17/1.00 (![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)) <=> ![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))),
% 1.17/1.00 inference(quant_intro,[status(thm)],[616])).
% 1.17/1.00 tff(618,plain,
% 1.17/1.00 (![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)) <=> ![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))),
% 1.17/1.00 inference(rewrite,[status(thm)],[])).
% 1.17/1.00 tff(619,plain,
% 1.17/1.00 (^[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))))),
% 1.17/1.00 inference(bind,[status(th)],[])).
% 1.17/1.00 tff(620,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(quant_intro,[status(thm)],[619])).
% 1.17/1.00 tff(621,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/sandbox2/benchmark/theBenchmark.p','m_main_62')).
% 1.17/1.00 tff(622,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[621, 620])).
% 1.17/1.00 tff(623,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[622, 618])).
% 1.17/1.00 tff(624,plain,(
% 1.17/1.00 ![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))),
% 1.17/1.00 inference(skolemize,[status(sab)],[623])).
% 1.17/1.00 tff(625,plain,
% 1.17/1.00 (![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))),
% 1.17/1.00 inference(modus_ponens,[status(thm)],[624, 617])).
% 1.17/1.00 tff(626,plain,
% 1.17/1.00 (((~![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(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))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(627,plain,
% 1.17/1.01 ((~![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))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(628,plain,
% 1.17/1.01 ((~![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)),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[627, 626])).
% 1.17/1.01 tff(629,plain,
% 1.17/1.01 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_turn(s4, c_2)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[628, 625, 615])).
% 1.17/1.01 tff(630,plain,
% 1.17/1.01 (m_main_v_turn(s4, c_2)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[629, 577, 486])).
% 1.17/1.01 tff(631,plain,
% 1.17/1.01 (((~![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)))) <=> ((~![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(632,plain,
% 1.17/1.01 ((~![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)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(633,plain,
% 1.17/1.01 ((~![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))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[632, 631])).
% 1.17/1.01 tff(634,plain,
% 1.17/1.01 (~m_main_v_turn(s4, c_1)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[633, 322, 630])).
% 1.17/1.01 tff(635,plain,
% 1.17/1.01 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(636,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[635])).
% 1.17/1.01 tff(637,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(638,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_24')).
% 1.17/1.01 tff(639,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[638, 637])).
% 1.17/1.01 tff(640,plain,(
% 1.17/1.01 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 1.17/1.01 inference(skolemize,[status(sab)],[639])).
% 1.17/1.01 tff(641,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[640, 636])).
% 1.17/1.01 tff(642,plain,
% 1.17/1.01 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(643,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(644,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[643, 642])).
% 1.17/1.01 tff(645,plain,
% 1.17/1.01 (~node5(s4)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[644, 641, 634])).
% 1.17/1.01 tff(646,plain,
% 1.17/1.01 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(647,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[646])).
% 1.17/1.01 tff(648,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(649,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_16')).
% 1.17/1.01 tff(650,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[649, 648])).
% 1.17/1.01 tff(651,plain,(
% 1.17/1.01 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 1.17/1.01 inference(skolemize,[status(sab)],[650])).
% 1.17/1.01 tff(652,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[651, 647])).
% 1.17/1.01 tff(653,plain,
% 1.17/1.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(654,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(655,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[654, 653])).
% 1.17/1.01 tff(656,plain,
% 1.17/1.01 (~node2(s4)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[655, 652, 607])).
% 1.17/1.01 tff(657,plain,
% 1.17/1.01 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node3(X))) <=> (m_main_v_state1(X, c_n1) | (~node3(X))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(658,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[657])).
% 1.17/1.01 tff(659,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(660,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_18')).
% 1.17/1.01 tff(661,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[660, 659])).
% 1.17/1.01 tff(662,plain,(
% 1.17/1.01 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 1.17/1.01 inference(skolemize,[status(sab)],[661])).
% 1.17/1.01 tff(663,plain,
% 1.17/1.01 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[662, 658])).
% 1.17/1.01 tff(664,plain,
% 1.17/1.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(665,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(666,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[665, 664])).
% 1.17/1.01 tff(667,plain,
% 1.17/1.01 (~node3(s4)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[666, 663, 607])).
% 1.17/1.01 tff(668,plain,
% 1.17/1.01 (((~![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(669,plain,
% 1.17/1.01 ((~![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)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(670,plain,
% 1.17/1.01 ((~![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))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[669, 668])).
% 1.17/1.01 tff(671,plain,
% 1.17/1.01 (~m_main_v_state1(s4, c_c1)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[670, 289, 603])).
% 1.17/1.01 tff(672,plain,
% 1.17/1.01 (((~![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(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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(673,plain,
% 1.17/1.01 (((~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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(674,plain,
% 1.17/1.01 (((~![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))))),
% 1.17/1.01 inference(monotonicity,[status(thm)],[673])).
% 1.17/1.01 tff(675,plain,
% 1.17/1.01 (((~![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)))),
% 1.17/1.01 inference(transitivity,[status(thm)],[674, 672])).
% 1.17/1.01 tff(676,plain,
% 1.17/1.01 ((~![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)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(677,plain,
% 1.17/1.01 ((~![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(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[676, 675])).
% 1.17/1.01 tff(678,plain,
% 1.17/1.01 (~m_main_v_state2(s3, c_n2)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[677, 416, 423, 553])).
% 1.17/1.01 tff(679,plain,
% 1.17/1.01 (((~![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(680,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(681,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[680, 679])).
% 1.17/1.01 tff(682,plain,
% 1.17/1.01 (~node9(s3)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[681, 311, 678])).
% 1.17/1.01 tff(683,plain,
% 1.17/1.01 (((~![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(684,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(685,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[684, 683])).
% 1.17/1.01 tff(686,plain,
% 1.17/1.01 (~node10(s3)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[685, 372, 678])).
% 1.17/1.01 tff(687,plain,
% 1.17/1.01 (((~![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(688,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(689,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[688, 687])).
% 1.17/1.01 tff(690,plain,
% 1.17/1.01 (~node8(s3)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[689, 383, 678])).
% 1.17/1.01 tff(691,plain,
% 1.17/1.01 (((~![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))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(692,plain,
% 1.17/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(693,plain,
% 1.17/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[692, 691])).
% 1.17/1.01 tff(694,plain,
% 1.17/1.01 (node14(s3, s4)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[693, 130, 584])).
% 1.17/1.01 tff(695,plain,
% 1.17/1.01 (^[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)))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(696,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[695])).
% 1.17/1.01 tff(697,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(698,plain,
% 1.17/1.01 (^[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))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(699,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[698])).
% 1.17/1.01 tff(700,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/sandbox2/benchmark/theBenchmark.p','m_main_51')).
% 1.17/1.01 tff(701,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[700, 699])).
% 1.17/1.01 tff(702,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[701, 697])).
% 1.17/1.01 tff(703,plain,(
% 1.17/1.01 ![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))),
% 1.17/1.01 inference(skolemize,[status(sab)],[702])).
% 1.17/1.01 tff(704,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[703, 696])).
% 1.17/1.01 tff(705,plain,
% 1.17/1.01 (((~![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))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(706,plain,
% 1.17/1.01 ((~![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))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(707,plain,
% 1.17/1.01 ((~![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)),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[706, 705])).
% 1.17/1.01 tff(708,plain,
% 1.17/1.01 ((~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)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[707, 704, 694])).
% 1.17/1.01 tff(709,plain,
% 1.17/1.01 (m_main_v_state2(s4, c_c2)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[708, 690, 486, 577, 686, 682])).
% 1.17/1.01 tff(710,plain,
% 1.17/1.01 (^[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))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(711,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[710])).
% 1.17/1.01 tff(712,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(713,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 1.17/1.01 tff(714,plain,
% 1.17/1.01 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[713, 712])).
% 1.17/1.01 tff(715,plain,(
% 1.17/1.01 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 1.17/1.01 inference(skolemize,[status(sab)],[714])).
% 1.17/1.01 tff(716,plain,
% 1.17/1.01 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[715, 711])).
% 1.17/1.01 tff(717,plain,
% 1.17/1.01 (((~![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(718,plain,
% 1.17/1.01 ((~![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)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(719,plain,
% 1.17/1.01 ((~![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))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[718, 717])).
% 1.17/1.01 tff(720,plain,
% 1.17/1.01 (~m_main_v_state2(s4, c_n2)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[719, 716, 709])).
% 1.17/1.01 tff(721,plain,
% 1.17/1.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(722,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(723,plain,
% 1.17/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[722, 721])).
% 1.17/1.01 tff(724,plain,
% 1.17/1.01 (~node4(s4)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[723, 162, 720])).
% 1.17/1.01 tff(725,plain,
% 1.17/1.01 (succ(s4, s5) <=> succ(s4, s5)),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(726,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 1.17/1.01 tff(727,plain,
% 1.17/1.01 (succ(s4, s5)),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[726, 725])).
% 1.17/1.01 tff(728,plain,
% 1.17/1.01 (((~![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))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(729,plain,
% 1.17/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(730,plain,
% 1.17/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[729, 728])).
% 1.17/1.01 tff(731,plain,
% 1.17/1.01 (trans(s4, s5)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[730, 727, 57])).
% 1.17/1.01 tff(732,plain,
% 1.17/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(733,plain,
% 1.17/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(734,plain,
% 1.17/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5)),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[733, 732])).
% 1.17/1.01 tff(735,plain,
% 1.17/1.01 (node7(s4, s5)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[734, 217, 731])).
% 1.17/1.01 tff(736,plain,
% 1.17/1.01 (^[Y: $i, X: $i] : refl((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))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(737,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[736])).
% 1.17/1.01 tff(738,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(739,plain,
% 1.17/1.01 (^[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)))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(740,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[739])).
% 1.17/1.01 tff(741,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/sandbox2/benchmark/theBenchmark.p','m_main_33')).
% 1.17/1.01 tff(742,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[741, 740])).
% 1.17/1.01 tff(743,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[742, 738])).
% 1.17/1.01 tff(744,plain,(
% 1.17/1.01 ![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)))),
% 1.17/1.01 inference(skolemize,[status(sab)],[743])).
% 1.17/1.01 tff(745,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[744, 737])).
% 1.17/1.01 tff(746,plain,
% 1.17/1.01 (((~![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)))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(747,plain,
% 1.17/1.01 ((~![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)))),
% 1.17/1.01 inference(quant_inst,[status(thm)],[])).
% 1.17/1.01 tff(748,plain,
% 1.17/1.01 ((~![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))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[747, 746])).
% 1.17/1.01 tff(749,plain,
% 1.17/1.01 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[748, 745, 735])).
% 1.17/1.01 tff(750,plain,
% 1.17/1.01 (node6(s4, s5)),
% 1.17/1.01 inference(unit_resolution,[status(thm)],[749, 724, 671, 667, 656, 645, 611])).
% 1.17/1.01 tff(751,plain,
% 1.17/1.01 (^[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)))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(752,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[751])).
% 1.17/1.01 tff(753,plain,
% 1.17/1.01 (![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))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(754,plain,
% 1.17/1.01 (^[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))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(755,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[754])).
% 1.17/1.02 tff(756,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/sandbox2/benchmark/theBenchmark.p','m_main_25')).
% 1.17/1.02 tff(757,plain,
% 1.17/1.02 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[756, 755])).
% 1.17/1.02 tff(758,plain,
% 1.17/1.02 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[757, 753])).
% 1.17/1.02 tff(759,plain,(
% 1.17/1.02 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 1.17/1.02 inference(skolemize,[status(sab)],[758])).
% 1.17/1.02 tff(760,plain,
% 1.17/1.02 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[759, 752])).
% 1.17/1.02 tff(761,plain,
% 1.17/1.02 (((~![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(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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(762,plain,
% 1.17/1.02 (((~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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(763,plain,
% 1.17/1.02 (((~![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))))),
% 1.17/1.02 inference(monotonicity,[status(thm)],[762])).
% 1.17/1.02 tff(764,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(transitivity,[status(thm)],[763, 761])).
% 1.17/1.02 tff(765,plain,
% 1.17/1.02 ((~![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))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(766,plain,
% 1.17/1.02 ((~![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(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[765, 764])).
% 1.17/1.02 tff(767,plain,
% 1.17/1.02 (m_main_v_state1(s5, c_t1)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[766, 760, 603, 750])).
% 1.17/1.02 tff(768,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(769,plain,
% 1.17/1.02 ((~![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)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(770,plain,
% 1.17/1.02 ((~![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[769, 768])).
% 1.17/1.02 tff(771,plain,
% 1.17/1.02 (~m_main_v_state2(s4, c_t2)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[770, 173, 709])).
% 1.17/1.02 tff(772,plain,
% 1.17/1.02 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(773,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[772])).
% 1.17/1.02 tff(774,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(775,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_43')).
% 1.17/1.02 tff(776,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[775, 774])).
% 1.17/1.02 tff(777,plain,(
% 1.17/1.02 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 1.17/1.02 inference(skolemize,[status(sab)],[776])).
% 1.17/1.02 tff(778,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[777, 773])).
% 1.17/1.02 tff(779,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(780,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(781,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[780, 779])).
% 1.17/1.02 tff(782,plain,
% 1.17/1.02 (~node12(s4)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[781, 778, 771])).
% 1.17/1.02 tff(783,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(784,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(785,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[784, 783])).
% 1.17/1.02 tff(786,plain,
% 1.17/1.02 (~node11(s4)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[785, 361, 607])).
% 1.17/1.02 tff(787,plain,
% 1.17/1.02 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(788,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[787])).
% 1.17/1.02 tff(789,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(790,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_40')).
% 1.17/1.02 tff(791,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[790, 789])).
% 1.17/1.02 tff(792,plain,(
% 1.17/1.02 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 1.17/1.02 inference(skolemize,[status(sab)],[791])).
% 1.17/1.02 tff(793,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[792, 788])).
% 1.17/1.02 tff(794,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(795,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(796,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[795, 794])).
% 1.17/1.02 tff(797,plain,
% 1.17/1.02 (~node10(s4)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[796, 793, 671])).
% 1.17/1.02 tff(798,plain,
% 1.17/1.02 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(799,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[798])).
% 1.17/1.02 tff(800,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(801,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_38')).
% 1.17/1.02 tff(802,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[801, 800])).
% 1.17/1.02 tff(803,plain,(
% 1.17/1.02 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 1.17/1.02 inference(skolemize,[status(sab)],[802])).
% 1.17/1.02 tff(804,plain,
% 1.17/1.02 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[803, 799])).
% 1.17/1.02 tff(805,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(806,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(807,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[806, 805])).
% 1.17/1.02 tff(808,plain,
% 1.17/1.02 (~node9(s4)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[807, 804, 607])).
% 1.17/1.02 tff(809,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(810,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(811,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[810, 809])).
% 1.17/1.02 tff(812,plain,
% 1.17/1.02 (~node8(s4)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[811, 383, 720])).
% 1.17/1.02 tff(813,plain,
% 1.17/1.02 (((~![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))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(814,plain,
% 1.17/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(815,plain,
% 1.17/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[814, 813])).
% 1.17/1.02 tff(816,plain,
% 1.17/1.02 (node14(s4, s5)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[815, 130, 731])).
% 1.17/1.02 tff(817,plain,
% 1.17/1.02 (^[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)))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(818,plain,
% 1.17/1.02 (![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)) <=> ![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))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[817])).
% 1.17/1.02 tff(819,plain,
% 1.17/1.02 (![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)) <=> ![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))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(820,plain,
% 1.17/1.02 (^[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))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(821,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[820])).
% 1.17/1.02 tff(822,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/sandbox2/benchmark/theBenchmark.p','m_main_53')).
% 1.17/1.02 tff(823,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[822, 821])).
% 1.17/1.02 tff(824,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[823, 819])).
% 1.17/1.02 tff(825,plain,(
% 1.17/1.02 ![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))),
% 1.17/1.02 inference(skolemize,[status(sab)],[824])).
% 1.17/1.02 tff(826,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[825, 818])).
% 1.17/1.02 tff(827,plain,
% 1.17/1.02 (((~![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(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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(828,plain,
% 1.17/1.02 (((~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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(829,plain,
% 1.17/1.02 (((~![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(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))))),
% 1.17/1.02 inference(monotonicity,[status(thm)],[828])).
% 1.17/1.02 tff(830,plain,
% 1.17/1.02 (((~![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(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)))),
% 1.17/1.02 inference(transitivity,[status(thm)],[829, 827])).
% 1.17/1.02 tff(831,plain,
% 1.17/1.02 ((~![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(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(832,plain,
% 1.17/1.02 ((~![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(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[831, 830])).
% 1.17/1.02 tff(833,plain,
% 1.17/1.02 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[832, 826, 816])).
% 1.17/1.02 tff(834,plain,
% 1.17/1.02 (m_main_v_state2(s5, c_n2)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[833, 812, 709, 808, 797, 786, 782])).
% 1.17/1.02 tff(835,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(836,plain,
% 1.17/1.02 ((~![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)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(837,plain,
% 1.17/1.02 ((~![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[836, 835])).
% 1.17/1.02 tff(838,plain,
% 1.17/1.02 (~m_main_v_state2(s5, c_t2)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[837, 10, 834])).
% 1.17/1.02 tff(839,plain,
% 1.17/1.02 (((~![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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(840,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(841,plain,
% 1.17/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[840, 839])).
% 1.17/1.02 tff(842,plain,
% 1.17/1.02 (~node15(s5)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[841, 21, 838])).
% 1.17/1.02 tff(843,plain,
% 1.17/1.02 (succ(s5, s6) <=> succ(s5, s6)),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(844,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 1.17/1.02 tff(845,plain,
% 1.17/1.02 (succ(s5, s6)),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[844, 843])).
% 1.17/1.02 tff(846,plain,
% 1.17/1.02 (((~![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))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(847,plain,
% 1.17/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(848,plain,
% 1.17/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[847, 846])).
% 1.17/1.02 tff(849,plain,
% 1.17/1.02 (trans(s5, s6)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[848, 845, 57])).
% 1.17/1.02 tff(850,plain,
% 1.17/1.02 (((~![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))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(851,plain,
% 1.17/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(852,plain,
% 1.17/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[851, 850])).
% 1.17/1.02 tff(853,plain,
% 1.17/1.02 (node18(s5, s6)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[852, 71, 849])).
% 1.17/1.02 tff(854,plain,
% 1.17/1.02 (^[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)))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(855,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[854])).
% 1.17/1.02 tff(856,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(857,plain,
% 1.17/1.02 (^[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))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(858,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[857])).
% 1.17/1.02 tff(859,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/sandbox2/benchmark/theBenchmark.p','m_main_63')).
% 1.17/1.02 tff(860,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[859, 858])).
% 1.17/1.02 tff(861,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[860, 856])).
% 1.17/1.02 tff(862,plain,(
% 1.17/1.02 ![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))),
% 1.17/1.02 inference(skolemize,[status(sab)],[861])).
% 1.17/1.02 tff(863,plain,
% 1.17/1.02 (![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))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[862, 855])).
% 1.17/1.02 tff(864,plain,
% 1.17/1.02 (((~![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))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(865,plain,
% 1.17/1.03 (((~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))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(866,plain,
% 1.17/1.03 (((~![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(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)))),
% 1.17/1.03 inference(monotonicity,[status(thm)],[865])).
% 1.17/1.03 tff(867,plain,
% 1.17/1.03 (((~![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(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))),
% 1.17/1.03 inference(transitivity,[status(thm)],[866, 864])).
% 1.17/1.03 tff(868,plain,
% 1.17/1.03 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(869,plain,
% 1.17/1.03 ((~![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(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)),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[868, 867])).
% 1.17/1.03 tff(870,plain,
% 1.17/1.03 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[869, 863, 853])).
% 1.17/1.03 tff(871,plain,
% 1.17/1.03 (m_main_v_turn(s6, c_1)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[870, 842, 834, 767])).
% 1.17/1.03 tff(872,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(873,plain,
% 1.17/1.03 ((~![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)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(874,plain,
% 1.17/1.03 ((~![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[873, 872])).
% 1.17/1.03 tff(875,plain,
% 1.17/1.03 (~m_main_v_turn(s6, c_2)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[874, 322, 871])).
% 1.17/1.03 tff(876,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(877,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(878,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[877, 876])).
% 1.17/1.03 tff(879,plain,
% 1.17/1.03 (~node12(s6)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[878, 350, 875])).
% 1.17/1.03 tff(880,plain,
% 1.17/1.03 (((~![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))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(881,plain,
% 1.17/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(882,plain,
% 1.17/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[881, 880])).
% 1.17/1.03 tff(883,plain,
% 1.17/1.03 (node14(s5, s6)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[882, 130, 849])).
% 1.17/1.03 tff(884,plain,
% 1.17/1.03 (^[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)))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(885,plain,
% 1.17/1.03 (![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)) <=> ![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))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[884])).
% 1.17/1.03 tff(886,plain,
% 1.17/1.03 (![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)) <=> ![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))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(887,plain,
% 1.17/1.03 (^[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))))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(888,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[887])).
% 1.17/1.03 tff(889,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/sandbox2/benchmark/theBenchmark.p','m_main_48')).
% 1.17/1.03 tff(890,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[889, 888])).
% 1.17/1.03 tff(891,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[890, 886])).
% 1.17/1.03 tff(892,plain,(
% 1.17/1.03 ![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))),
% 1.17/1.03 inference(skolemize,[status(sab)],[891])).
% 1.17/1.03 tff(893,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[892, 885])).
% 1.17/1.03 tff(894,plain,
% 1.17/1.03 (((~![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(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))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(895,plain,
% 1.17/1.03 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(896,plain,
% 1.17/1.03 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[895, 894])).
% 1.17/1.03 tff(897,plain,
% 1.17/1.03 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[896, 893, 883])).
% 1.17/1.03 tff(898,plain,
% 1.17/1.03 (m_main_v_state2(s6, c_t2)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[897, 767, 834])).
% 1.17/1.03 tff(899,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(900,plain,
% 1.17/1.03 ((~![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)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(901,plain,
% 1.17/1.03 ((~![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[900, 899])).
% 1.17/1.03 tff(902,plain,
% 1.17/1.03 (~m_main_v_state2(s6, c_n2)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[901, 10, 898])).
% 1.17/1.03 tff(903,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(904,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(905,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[904, 903])).
% 1.17/1.03 tff(906,plain,
% 1.17/1.03 (~node8(s6)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[905, 383, 902])).
% 1.17/1.03 tff(907,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(908,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(909,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[908, 907])).
% 1.17/1.03 tff(910,plain,
% 1.17/1.03 (~node9(s6)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[909, 311, 902])).
% 1.17/1.03 tff(911,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(912,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(913,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[912, 911])).
% 1.17/1.03 tff(914,plain,
% 1.17/1.03 (~node10(s6)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[913, 372, 902])).
% 1.17/1.03 tff(915,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(916,plain,
% 1.17/1.03 ((~![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)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(917,plain,
% 1.17/1.03 ((~![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[916, 915])).
% 1.17/1.03 tff(918,plain,
% 1.17/1.03 (~m_main_v_state2(s6, c_c2)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[917, 173, 898])).
% 1.17/1.03 tff(919,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(920,plain,
% 1.17/1.03 ((~![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)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(921,plain,
% 1.17/1.03 ((~![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[920, 919])).
% 1.17/1.03 tff(922,plain,
% 1.17/1.03 (~m_main_v_state2(s5, c_c2)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[921, 716, 834])).
% 1.17/1.03 tff(923,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(924,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(925,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[924, 923])).
% 1.17/1.03 tff(926,plain,
% 1.17/1.03 (~node3(s5)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[925, 184, 922])).
% 1.17/1.03 tff(927,plain,
% 1.17/1.03 (^[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))))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(928,plain,
% 1.17/1.03 (![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)))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[927])).
% 1.17/1.03 tff(929,plain,
% 1.17/1.03 (![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(930,plain,
% 1.17/1.03 (^[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))))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(931,plain,
% 1.17/1.03 (![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)))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[930])).
% 1.17/1.03 tff(932,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/sandbox2/benchmark/theBenchmark.p','m_main_26')).
% 1.17/1.03 tff(933,plain,
% 1.17/1.03 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[932, 931])).
% 1.17/1.03 tff(934,plain,
% 1.17/1.03 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[933, 929])).
% 1.17/1.03 tff(935,plain,(
% 1.17/1.03 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 1.17/1.03 inference(skolemize,[status(sab)],[934])).
% 1.17/1.03 tff(936,plain,
% 1.17/1.03 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[935, 928])).
% 1.17/1.03 tff(937,plain,
% 1.17/1.03 (((~![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(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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(938,plain,
% 1.17/1.03 (((~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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(939,plain,
% 1.17/1.03 (((~![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))))),
% 1.17/1.03 inference(monotonicity,[status(thm)],[938])).
% 1.17/1.03 tff(940,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(transitivity,[status(thm)],[939, 937])).
% 1.17/1.03 tff(941,plain,
% 1.17/1.03 ((~![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)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(942,plain,
% 1.17/1.03 ((~![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(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[941, 940])).
% 1.17/1.03 tff(943,plain,
% 1.17/1.03 (~m_main_v_state1(s5, c_n1)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[942, 936, 607, 750])).
% 1.17/1.03 tff(944,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(945,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(946,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[945, 944])).
% 1.17/1.03 tff(947,plain,
% 1.17/1.03 (~node2(s5)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[946, 652, 943])).
% 1.17/1.03 tff(948,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(949,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(950,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[949, 948])).
% 1.17/1.03 tff(951,plain,
% 1.17/1.03 (~node1(s5)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[950, 206, 838])).
% 1.17/1.03 tff(952,plain,
% 1.17/1.03 (((~![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))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(953,plain,
% 1.17/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(954,plain,
% 1.17/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[953, 952])).
% 1.17/1.03 tff(955,plain,
% 1.17/1.03 (node7(s5, s6)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[954, 217, 849])).
% 1.17/1.03 tff(956,plain,
% 1.17/1.03 (^[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)))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(957,plain,
% 1.17/1.03 (![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)) <=> ![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))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[956])).
% 1.17/1.03 tff(958,plain,
% 1.17/1.03 (![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)) <=> ![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))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(959,plain,
% 1.17/1.03 (^[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))))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(960,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[959])).
% 1.17/1.03 tff(961,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/sandbox2/benchmark/theBenchmark.p','m_main_30')).
% 1.17/1.03 tff(962,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[961, 960])).
% 1.17/1.03 tff(963,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[962, 958])).
% 1.17/1.03 tff(964,plain,(
% 1.17/1.03 ![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))),
% 1.17/1.03 inference(skolemize,[status(sab)],[963])).
% 1.17/1.03 tff(965,plain,
% 1.17/1.03 (![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[964, 957])).
% 1.17/1.03 tff(966,plain,
% 1.17/1.03 (((~![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(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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(967,plain,
% 1.17/1.03 (((~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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(968,plain,
% 1.17/1.03 (((~![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(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))))),
% 1.17/1.03 inference(monotonicity,[status(thm)],[967])).
% 1.17/1.03 tff(969,plain,
% 1.17/1.03 (((~![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(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)))),
% 1.17/1.03 inference(transitivity,[status(thm)],[968, 966])).
% 1.17/1.03 tff(970,plain,
% 1.17/1.03 ((~![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(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))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(971,plain,
% 1.17/1.03 ((~![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(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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[970, 969])).
% 1.17/1.03 tff(972,plain,
% 1.17/1.03 ((~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)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[971, 965, 955])).
% 1.17/1.03 tff(973,plain,
% 1.17/1.03 (m_main_v_state1(s6, c_c1)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[972, 951, 834, 767, 947, 926])).
% 1.17/1.03 tff(974,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(975,plain,
% 1.17/1.03 ((~![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)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(976,plain,
% 1.17/1.03 ((~![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))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[975, 974])).
% 1.17/1.03 tff(977,plain,
% 1.17/1.03 (~m_main_v_state1(s6, c_n1)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[976, 449, 973])).
% 1.17/1.03 tff(978,plain,
% 1.17/1.03 (((~![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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(979,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(980,plain,
% 1.17/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[979, 978])).
% 1.17/1.03 tff(981,plain,
% 1.17/1.03 (~node11(s6)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[980, 361, 977])).
% 1.17/1.03 tff(982,plain,
% 1.17/1.03 (succ(s6, s7) <=> succ(s6, s7)),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(983,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 1.17/1.03 tff(984,plain,
% 1.17/1.03 (succ(s6, s7)),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[983, 982])).
% 1.17/1.03 tff(985,plain,
% 1.17/1.04 (((~![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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(986,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(987,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[986, 985])).
% 1.17/1.04 tff(988,plain,
% 1.17/1.04 (trans(s6, s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[987, 984, 57])).
% 1.17/1.04 tff(989,plain,
% 1.17/1.04 (((~![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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(990,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(991,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[990, 989])).
% 1.17/1.04 tff(992,plain,
% 1.17/1.04 (node14(s6, s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[991, 130, 988])).
% 1.17/1.04 tff(993,plain,
% 1.17/1.04 (((~![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(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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(994,plain,
% 1.17/1.04 ((~![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(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(995,plain,
% 1.17/1.04 ((~![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(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[994, 993])).
% 1.17/1.04 tff(996,plain,
% 1.17/1.04 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[995, 401, 992])).
% 1.17/1.04 tff(997,plain,
% 1.17/1.04 (node13(s6, s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[996, 981, 918, 914, 910, 906, 879])).
% 1.17/1.04 tff(998,plain,
% 1.17/1.04 (((~![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(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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(999,plain,
% 1.17/1.04 (((~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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1000,plain,
% 1.17/1.04 (((~![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))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[999])).
% 1.17/1.04 tff(1001,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[1000, 998])).
% 1.17/1.04 tff(1002,plain,
% 1.17/1.04 ((~![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)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1003,plain,
% 1.17/1.04 ((~![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(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 1.17/1.04 tff(1004,plain,
% 1.17/1.04 (~m_main_v_state2(s7, c_n2)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1003, 416, 902, 997])).
% 1.17/1.04 tff(1005,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1006,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1007,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 1.17/1.04 tff(1008,plain,
% 1.17/1.04 (~node9(s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1007, 311, 1004])).
% 1.17/1.04 tff(1009,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1010,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1011,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 1.17/1.04 tff(1012,plain,
% 1.17/1.04 (~node10(s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1011, 372, 1004])).
% 1.17/1.04 tff(1013,plain,
% 1.17/1.04 (((~![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(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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1014,plain,
% 1.17/1.04 (((~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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1015,plain,
% 1.17/1.04 (((~![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))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[1014])).
% 1.17/1.04 tff(1016,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[1015, 1013])).
% 1.17/1.04 tff(1017,plain,
% 1.17/1.04 ((~![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))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1018,plain,
% 1.17/1.04 ((~![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(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 1.17/1.04 tff(1019,plain,
% 1.17/1.04 (m_main_v_state2(s7, c_t2)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1018, 563, 898, 997])).
% 1.17/1.04 tff(1020,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1021,plain,
% 1.17/1.04 ((~![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)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1022,plain,
% 1.17/1.04 ((~![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))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 1.17/1.04 tff(1023,plain,
% 1.17/1.04 (~m_main_v_state1(s6, c_t1)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1022, 289, 973])).
% 1.17/1.04 tff(1024,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1025,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1026,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 1.17/1.04 tff(1027,plain,
% 1.17/1.04 (~node5(s6)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1026, 300, 1023])).
% 1.17/1.04 tff(1028,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1029,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1030,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.17/1.04 tff(1031,plain,
% 1.17/1.04 (~node4(s6)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1030, 162, 902])).
% 1.17/1.04 tff(1032,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1033,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1034,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 1.17/1.04 tff(1035,plain,
% 1.17/1.04 (~node3(s6)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1034, 184, 918])).
% 1.17/1.04 tff(1036,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1037,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1038,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 1.17/1.04 tff(1039,plain,
% 1.17/1.04 (~node2(s6)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1038, 195, 902])).
% 1.17/1.04 tff(1040,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1041,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1042,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 1.17/1.04 tff(1043,plain,
% 1.17/1.04 (~node1(s6)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1042, 249, 977])).
% 1.17/1.04 tff(1044,plain,
% 1.17/1.04 (((~![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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1045,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1046,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 1.17/1.04 tff(1047,plain,
% 1.17/1.04 (node7(s6, s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1046, 217, 988])).
% 1.17/1.04 tff(1048,plain,
% 1.17/1.04 (((~![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(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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1049,plain,
% 1.17/1.04 (((~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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1050,plain,
% 1.17/1.04 (((~![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(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))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[1049])).
% 1.17/1.04 tff(1051,plain,
% 1.17/1.04 (((~![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(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)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[1050, 1048])).
% 1.17/1.04 tff(1052,plain,
% 1.17/1.04 ((~![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(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1053,plain,
% 1.17/1.04 ((~![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(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 1.17/1.04 tff(1054,plain,
% 1.17/1.04 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1053, 478, 1047])).
% 1.17/1.04 tff(1055,plain,
% 1.17/1.04 (m_main_v_state1(s7, c_n1)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1054, 1043, 973, 1039, 1035, 1031, 1027])).
% 1.17/1.04 tff(1056,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1057,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1058,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 1.17/1.04 tff(1059,plain,
% 1.17/1.04 (~node8(s7)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1058, 383, 1004])).
% 1.17/1.04 tff(1060,plain,
% 1.17/1.04 (succ(s7, s8) <=> succ(s7, s8)),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1061,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 1.17/1.04 tff(1062,plain,
% 1.17/1.04 (succ(s7, s8)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 1.17/1.04 tff(1063,plain,
% 1.17/1.04 (((~![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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1064,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1065,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1064, 1063])).
% 1.17/1.04 tff(1066,plain,
% 1.17/1.04 (trans(s7, s8)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1065, 1062, 57])).
% 1.17/1.04 tff(1067,plain,
% 1.17/1.04 (((~![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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1068,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1069,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 1.17/1.04 tff(1070,plain,
% 1.17/1.04 (node14(s7, s8)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1069, 130, 1066])).
% 1.17/1.04 tff(1071,plain,
% 1.17/1.04 (((~![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(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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1072,plain,
% 1.17/1.04 ((~![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(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))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1073,plain,
% 1.17/1.04 ((~![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(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)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 1.17/1.04 tff(1074,plain,
% 1.17/1.04 ((~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)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1073, 704, 1070])).
% 1.17/1.04 tff(1075,plain,
% 1.17/1.04 (m_main_v_state2(s8, c_c2)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1074, 1059, 1055, 1019, 1012, 1008])).
% 1.17/1.04 tff(1076,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1077,plain,
% 1.17/1.04 ((~![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)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1078,plain,
% 1.17/1.04 ((~![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))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 1.17/1.04 tff(1079,plain,
% 1.17/1.04 (~m_main_v_state2(s8, c_t2)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1078, 173, 1075])).
% 1.17/1.04 tff(1080,plain,
% 1.17/1.04 (((~![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)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1081,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1082,plain,
% 1.17/1.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 1.17/1.04 tff(1083,plain,
% 1.17/1.04 (~node12(s8)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1082, 778, 1079])).
% 1.17/1.04 tff(1084,plain,
% 1.17/1.04 (((~![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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1085,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1086,plain,
% 1.17/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 1.17/1.04 tff(1087,plain,
% 1.17/1.04 (node7(s7, s8)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1086, 217, 1066])).
% 1.17/1.04 tff(1088,plain,
% 1.17/1.04 (((~![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(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))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(1089,plain,
% 1.17/1.04 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(1090,plain,
% 1.17/1.04 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 1.17/1.05 tff(1091,plain,
% 1.17/1.05 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1090, 598, 1087])).
% 1.17/1.05 tff(1092,plain,
% 1.17/1.05 (m_main_v_state1(s8, c_t1)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1091, 1019, 1055])).
% 1.17/1.05 tff(1093,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1094,plain,
% 1.17/1.05 ((~![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)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1095,plain,
% 1.17/1.05 ((~![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))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1094, 1093])).
% 1.17/1.05 tff(1096,plain,
% 1.17/1.05 (~m_main_v_state1(s8, c_n1)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1095, 35, 1092])).
% 1.17/1.05 tff(1097,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1098,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1099,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 1.17/1.05 tff(1100,plain,
% 1.17/1.05 (~node11(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1099, 361, 1096])).
% 1.17/1.05 tff(1101,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1102,plain,
% 1.17/1.05 ((~![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)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1103,plain,
% 1.17/1.05 ((~![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))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 1.17/1.05 tff(1104,plain,
% 1.17/1.05 (~m_main_v_state1(s8, c_c1)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1103, 289, 1092])).
% 1.17/1.05 tff(1105,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1106,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1107,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 1.17/1.05 tff(1108,plain,
% 1.17/1.05 (~node10(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1107, 793, 1104])).
% 1.17/1.05 tff(1109,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1110,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1111,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 1.17/1.05 tff(1112,plain,
% 1.17/1.05 (~node9(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1111, 804, 1096])).
% 1.17/1.05 tff(1113,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1114,plain,
% 1.17/1.05 ((~![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)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1115,plain,
% 1.17/1.05 ((~![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))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 1.17/1.05 tff(1116,plain,
% 1.17/1.05 (~m_main_v_state2(s8, c_n2)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1115, 716, 1075])).
% 1.17/1.05 tff(1117,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1118,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1119,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 1.17/1.05 tff(1120,plain,
% 1.17/1.05 (~node8(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1119, 383, 1116])).
% 1.17/1.05 tff(1121,plain,
% 1.17/1.05 (succ(s8, s9) <=> succ(s8, s9)),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1122,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 1.17/1.05 tff(1123,plain,
% 1.17/1.05 (succ(s8, s9)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 1.17/1.05 tff(1124,plain,
% 1.17/1.05 (((~![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))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1125,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1126,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 1.17/1.05 tff(1127,plain,
% 1.17/1.05 (trans(s8, s9)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1126, 1123, 57])).
% 1.17/1.05 tff(1128,plain,
% 1.17/1.05 (((~![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))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1129,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1130,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 1.17/1.05 tff(1131,plain,
% 1.17/1.05 (node14(s8, s9)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1130, 130, 1127])).
% 1.17/1.05 tff(1132,plain,
% 1.17/1.05 (((~![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(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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1133,plain,
% 1.17/1.05 (((~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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1134,plain,
% 1.17/1.05 (((~![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(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))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[1133])).
% 1.17/1.05 tff(1135,plain,
% 1.17/1.05 (((~![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(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)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[1134, 1132])).
% 1.17/1.05 tff(1136,plain,
% 1.17/1.05 ((~![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(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1137,plain,
% 1.17/1.05 ((~![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(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 1.17/1.05 tff(1138,plain,
% 1.17/1.05 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1137, 826, 1131])).
% 1.17/1.05 tff(1139,plain,
% 1.17/1.05 (m_main_v_state2(s9, c_n2)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1138, 1120, 1075, 1112, 1108, 1100, 1083])).
% 1.17/1.05 tff(1140,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1141,plain,
% 1.17/1.05 ((~![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)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1142,plain,
% 1.17/1.05 ((~![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))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 1.17/1.05 tff(1143,plain,
% 1.17/1.05 (~m_main_v_state2(s9, c_c2)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1142, 716, 1139])).
% 1.17/1.05 tff(1144,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1145,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1146,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 1.17/1.05 tff(1147,plain,
% 1.17/1.05 (~node3(s9)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1146, 184, 1143])).
% 1.17/1.05 tff(1148,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1149,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1150,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 1.17/1.05 tff(1151,plain,
% 1.17/1.05 (~node1(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1150, 249, 1096])).
% 1.17/1.05 tff(1152,plain,
% 1.17/1.05 (((~![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))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1153,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1154,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1153, 1152])).
% 1.17/1.05 tff(1155,plain,
% 1.17/1.05 (node18(s7, s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1154, 71, 1066])).
% 1.17/1.05 tff(1156,plain,
% 1.17/1.05 (((~![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(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))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1157,plain,
% 1.17/1.05 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1158,plain,
% 1.17/1.05 ((~![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(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 1.17/1.05 tff(1159,plain,
% 1.17/1.05 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1158, 625, 1155])).
% 1.17/1.05 tff(1160,plain,
% 1.17/1.05 (m_main_v_turn(s8, c_2)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1159, 1019, 1055])).
% 1.17/1.05 tff(1161,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1162,plain,
% 1.17/1.05 ((~![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)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1163,plain,
% 1.17/1.05 ((~![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))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 1.17/1.05 tff(1164,plain,
% 1.17/1.05 (~m_main_v_turn(s8, c_1)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1163, 322, 1160])).
% 1.17/1.05 tff(1165,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1166,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1167,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 1.17/1.05 tff(1168,plain,
% 1.17/1.05 (~node5(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1167, 641, 1164])).
% 1.17/1.05 tff(1169,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1170,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1171,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 1.17/1.05 tff(1172,plain,
% 1.17/1.05 (~node2(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1171, 652, 1096])).
% 1.17/1.05 tff(1173,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1174,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1175,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 1.17/1.05 tff(1176,plain,
% 1.17/1.05 (~node3(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1175, 663, 1096])).
% 1.17/1.05 tff(1177,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1178,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1179,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 1.17/1.05 tff(1180,plain,
% 1.17/1.05 (~node4(s8)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1179, 162, 1116])).
% 1.17/1.05 tff(1181,plain,
% 1.17/1.05 (((~![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))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1182,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1183,plain,
% 1.17/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 1.17/1.05 tff(1184,plain,
% 1.17/1.05 (node7(s8, s9)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1183, 217, 1127])).
% 1.17/1.05 tff(1185,plain,
% 1.17/1.05 (((~![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(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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1186,plain,
% 1.17/1.05 ((~![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(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1187,plain,
% 1.17/1.05 ((~![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(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 1.17/1.05 tff(1188,plain,
% 1.17/1.05 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1187, 745, 1184])).
% 1.17/1.05 tff(1189,plain,
% 1.17/1.05 (node6(s8, s9)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1188, 1180, 1104, 1176, 1172, 1168, 1151])).
% 1.17/1.05 tff(1190,plain,
% 1.17/1.05 (((~![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(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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1191,plain,
% 1.17/1.05 (((~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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1192,plain,
% 1.17/1.05 (((~![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))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[1191])).
% 1.17/1.05 tff(1193,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[1192, 1190])).
% 1.17/1.05 tff(1194,plain,
% 1.17/1.05 ((~![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)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1195,plain,
% 1.17/1.05 ((~![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(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 1.17/1.05 tff(1196,plain,
% 1.17/1.05 (~m_main_v_state1(s9, c_n1)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1195, 936, 1096, 1189])).
% 1.17/1.05 tff(1197,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1198,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1199,plain,
% 1.17/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 1.17/1.05 tff(1200,plain,
% 1.17/1.05 (~node2(s9)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1199, 652, 1196])).
% 1.17/1.05 tff(1201,plain,
% 1.17/1.05 (((~![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(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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1202,plain,
% 1.17/1.05 (((~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)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(1203,plain,
% 1.17/1.05 (((~![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))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[1202])).
% 1.17/1.05 tff(1204,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[1203, 1201])).
% 1.17/1.05 tff(1205,plain,
% 1.17/1.05 ((~![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))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(1206,plain,
% 1.17/1.05 ((~![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(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 1.17/1.05 tff(1207,plain,
% 1.17/1.05 (m_main_v_state1(s9, c_t1)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1206, 760, 1092, 1189])).
% 1.17/1.05 tff(1208,plain,
% 1.17/1.05 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1209,plain,
% 1.17/1.06 ((~![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)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1210,plain,
% 1.17/1.06 ((~![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))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 1.17/1.06 tff(1211,plain,
% 1.17/1.06 (~m_main_v_state2(s9, c_t2)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1210, 10, 1139])).
% 1.17/1.06 tff(1212,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1213,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1214,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 1.17/1.06 tff(1215,plain,
% 1.17/1.06 (~node1(s9)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1214, 206, 1211])).
% 1.17/1.06 tff(1216,plain,
% 1.17/1.06 (succ(s9, s10) <=> succ(s9, s10)),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1217,axiom,(succ(s9, s10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 1.17/1.06 tff(1218,plain,
% 1.17/1.06 (succ(s9, s10)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 1.17/1.06 tff(1219,plain,
% 1.17/1.06 (((~![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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1220,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1221,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 1.17/1.06 tff(1222,plain,
% 1.17/1.06 (trans(s9, s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1221, 1218, 57])).
% 1.17/1.06 tff(1223,plain,
% 1.17/1.06 (((~![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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1224,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1225,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 1.17/1.06 tff(1226,plain,
% 1.17/1.06 (node7(s9, s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1225, 217, 1222])).
% 1.17/1.06 tff(1227,plain,
% 1.17/1.06 (((~![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(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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1228,plain,
% 1.17/1.06 (((~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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1229,plain,
% 1.17/1.06 (((~![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(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))))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[1228])).
% 1.17/1.06 tff(1230,plain,
% 1.17/1.06 (((~![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(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)))),
% 1.17/1.06 inference(transitivity,[status(thm)],[1229, 1227])).
% 1.17/1.06 tff(1231,plain,
% 1.17/1.06 ((~![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(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))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1232,plain,
% 1.17/1.06 ((~![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(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))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 1.17/1.06 tff(1233,plain,
% 1.17/1.06 ((~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)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1232, 965, 1226])).
% 1.17/1.06 tff(1234,plain,
% 1.17/1.06 (m_main_v_state1(s10, c_c1)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1233, 1215, 1139, 1207, 1200, 1147])).
% 1.17/1.06 tff(1235,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1236,plain,
% 1.17/1.06 ((~![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)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1237,plain,
% 1.17/1.06 ((~![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))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 1.17/1.06 tff(1238,plain,
% 1.17/1.06 (~m_main_v_state1(s10, c_t1)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1237, 289, 1234])).
% 1.17/1.06 tff(1239,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1240,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1241,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 1.17/1.06 tff(1242,plain,
% 1.17/1.06 (~node5(s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1241, 300, 1238])).
% 1.17/1.06 tff(1243,plain,
% 1.17/1.06 (((~![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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1244,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1245,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 1.17/1.06 tff(1246,plain,
% 1.17/1.06 (node14(s9, s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1245, 130, 1222])).
% 1.17/1.06 tff(1247,plain,
% 1.17/1.06 (((~![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(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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1248,plain,
% 1.17/1.06 ((~![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(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1249,plain,
% 1.17/1.06 ((~![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(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 1.17/1.06 tff(1250,plain,
% 1.17/1.06 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1249, 893, 1246])).
% 1.17/1.06 tff(1251,plain,
% 1.17/1.06 (m_main_v_state2(s10, c_t2)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1250, 1207, 1139])).
% 1.17/1.06 tff(1252,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1253,plain,
% 1.17/1.06 ((~![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)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1254,plain,
% 1.17/1.06 ((~![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))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 1.17/1.06 tff(1255,plain,
% 1.17/1.06 (~m_main_v_state2(s10, c_n2)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1254, 10, 1251])).
% 1.17/1.06 tff(1256,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1257,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1258,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1257, 1256])).
% 1.17/1.06 tff(1259,plain,
% 1.17/1.06 (~node4(s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1258, 162, 1255])).
% 1.17/1.06 tff(1260,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1261,plain,
% 1.17/1.06 ((~![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)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1262,plain,
% 1.17/1.06 ((~![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))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 1.17/1.06 tff(1263,plain,
% 1.17/1.06 (~m_main_v_state2(s10, c_c2)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1262, 173, 1251])).
% 1.17/1.06 tff(1264,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1265,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1266,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 1.17/1.06 tff(1267,plain,
% 1.17/1.06 (~node3(s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1266, 184, 1263])).
% 1.17/1.06 tff(1268,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1269,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1270,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 1.17/1.06 tff(1271,plain,
% 1.17/1.06 (~node2(s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1270, 195, 1255])).
% 1.17/1.06 tff(1272,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1273,plain,
% 1.17/1.06 ((~![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)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1274,plain,
% 1.17/1.06 ((~![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))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 1.17/1.06 tff(1275,plain,
% 1.17/1.06 (~m_main_v_state1(s10, c_n1)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1274, 449, 1234])).
% 1.17/1.06 tff(1276,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1277,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1278,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 1.17/1.06 tff(1279,plain,
% 1.17/1.06 (~node1(s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1278, 249, 1275])).
% 1.17/1.06 tff(1280,plain,
% 1.17/1.06 (succ(s10, s11) <=> succ(s10, s11)),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1281,axiom,(succ(s10, s11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 1.17/1.06 tff(1282,plain,
% 1.17/1.06 (succ(s10, s11)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 1.17/1.06 tff(1283,plain,
% 1.17/1.06 (((~![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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1284,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1285,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 1.17/1.06 tff(1286,plain,
% 1.17/1.06 (trans(s10, s11)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1285, 1282, 57])).
% 1.17/1.06 tff(1287,plain,
% 1.17/1.06 (((~![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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1288,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1289,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 1.17/1.06 tff(1290,plain,
% 1.17/1.06 (node7(s10, s11)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1289, 217, 1286])).
% 1.17/1.06 tff(1291,plain,
% 1.17/1.06 (((~![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(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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1292,plain,
% 1.17/1.06 (((~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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1293,plain,
% 1.17/1.06 (((~![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(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))))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[1292])).
% 1.17/1.06 tff(1294,plain,
% 1.17/1.06 (((~![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(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)))),
% 1.17/1.06 inference(transitivity,[status(thm)],[1293, 1291])).
% 1.17/1.06 tff(1295,plain,
% 1.17/1.06 ((~![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(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1296,plain,
% 1.17/1.06 ((~![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(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 1.17/1.06 tff(1297,plain,
% 1.17/1.06 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1296, 478, 1290])).
% 1.17/1.06 tff(1298,plain,
% 1.17/1.06 (m_main_v_state1(s11, c_n1)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1297, 1279, 1234, 1271, 1267, 1259, 1242])).
% 1.17/1.06 tff(1299,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1300,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1301,plain,
% 1.17/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 1.17/1.06 tff(1302,plain,
% 1.17/1.06 (~node15(s9)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1301, 21, 1211])).
% 1.17/1.06 tff(1303,plain,
% 1.17/1.06 (((~![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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1304,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1305,plain,
% 1.17/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 1.17/1.06 tff(1306,plain,
% 1.17/1.06 (node18(s9, s10)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1305, 71, 1222])).
% 1.17/1.06 tff(1307,plain,
% 1.17/1.06 (((~![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(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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1308,plain,
% 1.17/1.06 (((~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))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1309,plain,
% 1.17/1.06 (((~![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(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)))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[1308])).
% 1.17/1.06 tff(1310,plain,
% 1.17/1.06 (((~![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(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))),
% 1.17/1.06 inference(transitivity,[status(thm)],[1309, 1307])).
% 1.17/1.06 tff(1311,plain,
% 1.17/1.06 ((~![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(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1312,plain,
% 1.17/1.06 ((~![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(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)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 1.17/1.06 tff(1313,plain,
% 1.17/1.06 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1312, 863, 1306])).
% 1.17/1.06 tff(1314,plain,
% 1.17/1.06 (m_main_v_turn(s10, c_1)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1313, 1302, 1139, 1207])).
% 1.17/1.06 tff(1315,plain,
% 1.17/1.06 (((~![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)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(1316,plain,
% 1.17/1.06 ((~![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)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(1317,plain,
% 1.17/1.06 ((~![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))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 1.17/1.06 tff(1318,plain,
% 1.17/1.06 (~m_main_v_turn(s10, c_2)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1317, 322, 1314])).
% 1.17/1.06 tff(1319,plain,
% 1.17/1.06 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1320,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1321,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 1.24/1.07 tff(1322,plain,
% 1.24/1.07 (~node12(s10)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1321, 350, 1318])).
% 1.24/1.07 tff(1323,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1324,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1325,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 1.24/1.07 tff(1326,plain,
% 1.24/1.07 (~node8(s10)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1325, 383, 1255])).
% 1.24/1.07 tff(1327,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1328,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1329,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 1.24/1.07 tff(1330,plain,
% 1.24/1.07 (~node9(s10)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1329, 311, 1255])).
% 1.24/1.07 tff(1331,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1332,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1333,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 1.24/1.07 tff(1334,plain,
% 1.24/1.07 (~node10(s10)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1333, 372, 1255])).
% 1.24/1.07 tff(1335,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1336,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1337,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 1.24/1.07 tff(1338,plain,
% 1.24/1.07 (~node11(s10)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1337, 361, 1275])).
% 1.24/1.07 tff(1339,plain,
% 1.24/1.07 (((~![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))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1340,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1341,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 1.24/1.07 tff(1342,plain,
% 1.24/1.07 (node14(s10, s11)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1341, 130, 1286])).
% 1.24/1.07 tff(1343,plain,
% 1.24/1.07 (((~![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(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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1344,plain,
% 1.24/1.07 ((~![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(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1345,plain,
% 1.24/1.07 ((~![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(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 1.24/1.07 tff(1346,plain,
% 1.24/1.07 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1345, 401, 1342])).
% 1.24/1.07 tff(1347,plain,
% 1.24/1.07 (node13(s10, s11)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1346, 1338, 1263, 1334, 1330, 1326, 1322])).
% 1.24/1.07 tff(1348,plain,
% 1.24/1.07 (((~![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(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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1349,plain,
% 1.24/1.07 (((~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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1350,plain,
% 1.24/1.07 (((~![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))))),
% 1.24/1.07 inference(monotonicity,[status(thm)],[1349])).
% 1.24/1.07 tff(1351,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(transitivity,[status(thm)],[1350, 1348])).
% 1.24/1.07 tff(1352,plain,
% 1.24/1.07 ((~![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))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1353,plain,
% 1.24/1.07 ((~![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(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 1.24/1.07 tff(1354,plain,
% 1.24/1.07 (m_main_v_state2(s11, c_t2)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1353, 563, 1251, 1347])).
% 1.24/1.07 tff(1355,plain,
% 1.24/1.07 (succ(s11, s12) <=> succ(s11, s12)),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1356,axiom,(succ(s11, s12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 1.24/1.07 tff(1357,plain,
% 1.24/1.07 (succ(s11, s12)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 1.24/1.07 tff(1358,plain,
% 1.24/1.07 (((~![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))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1359,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1360,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 1.24/1.07 tff(1361,plain,
% 1.24/1.07 (trans(s11, s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1360, 1357, 57])).
% 1.24/1.07 tff(1362,plain,
% 1.24/1.07 (((~![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))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1363,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1364,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1363, 1362])).
% 1.24/1.07 tff(1365,plain,
% 1.24/1.07 (node7(s11, s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1364, 217, 1361])).
% 1.24/1.07 tff(1366,plain,
% 1.24/1.07 (((~![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(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))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1367,plain,
% 1.24/1.07 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1368,plain,
% 1.24/1.07 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 1.24/1.07 tff(1369,plain,
% 1.24/1.07 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1368, 598, 1365])).
% 1.24/1.07 tff(1370,plain,
% 1.24/1.07 (m_main_v_state1(s12, c_t1)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1369, 1354, 1298])).
% 1.24/1.07 tff(1371,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1372,plain,
% 1.24/1.07 ((~![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)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1373,plain,
% 1.24/1.07 ((~![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))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 1.24/1.07 tff(1374,plain,
% 1.24/1.07 (~m_main_v_state1(s12, c_n1)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1373, 35, 1370])).
% 1.24/1.07 tff(1375,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1376,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1377,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 1.24/1.07 tff(1378,plain,
% 1.24/1.07 (~node1(s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1377, 249, 1374])).
% 1.24/1.07 tff(1379,plain,
% 1.24/1.07 (((~![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))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1380,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1381,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 1.24/1.07 tff(1382,plain,
% 1.24/1.07 (node18(s11, s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1381, 71, 1361])).
% 1.24/1.07 tff(1383,plain,
% 1.24/1.07 (((~![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(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))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1384,plain,
% 1.24/1.07 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1385,plain,
% 1.24/1.07 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 1.24/1.07 tff(1386,plain,
% 1.24/1.07 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1385, 625, 1382])).
% 1.24/1.07 tff(1387,plain,
% 1.24/1.07 (m_main_v_turn(s12, c_2)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1386, 1354, 1298])).
% 1.24/1.07 tff(1388,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1389,plain,
% 1.24/1.07 ((~![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)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1390,plain,
% 1.24/1.07 ((~![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))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 1.24/1.07 tff(1391,plain,
% 1.24/1.07 (~m_main_v_turn(s12, c_1)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1390, 322, 1387])).
% 1.24/1.07 tff(1392,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1393,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1394,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 1.24/1.07 tff(1395,plain,
% 1.24/1.07 (~node5(s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1394, 641, 1391])).
% 1.24/1.07 tff(1396,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1397,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1398,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 1.24/1.07 tff(1399,plain,
% 1.24/1.07 (~node2(s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1398, 652, 1374])).
% 1.24/1.07 tff(1400,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1401,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1402,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 1.24/1.07 tff(1403,plain,
% 1.24/1.07 (~node3(s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1402, 663, 1374])).
% 1.24/1.07 tff(1404,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1405,plain,
% 1.24/1.07 ((~![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)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1406,plain,
% 1.24/1.07 ((~![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))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 1.24/1.07 tff(1407,plain,
% 1.24/1.07 (~m_main_v_state1(s12, c_c1)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1406, 289, 1370])).
% 1.24/1.07 tff(1408,plain,
% 1.24/1.07 (((~![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(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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1409,plain,
% 1.24/1.07 (((~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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1410,plain,
% 1.24/1.07 (((~![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))))),
% 1.24/1.07 inference(monotonicity,[status(thm)],[1409])).
% 1.24/1.07 tff(1411,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(transitivity,[status(thm)],[1410, 1408])).
% 1.24/1.07 tff(1412,plain,
% 1.24/1.07 ((~![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)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1413,plain,
% 1.24/1.07 ((~![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(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 1.24/1.07 tff(1414,plain,
% 1.24/1.07 (~m_main_v_state2(s11, c_n2)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1413, 416, 1255, 1347])).
% 1.24/1.07 tff(1415,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1416,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1417,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 1.24/1.07 tff(1418,plain,
% 1.24/1.07 (~node9(s11)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1417, 311, 1414])).
% 1.24/1.07 tff(1419,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1420,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1421,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 1.24/1.07 tff(1422,plain,
% 1.24/1.07 (~node10(s11)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1421, 372, 1414])).
% 1.24/1.07 tff(1423,plain,
% 1.24/1.07 (((~![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)))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1424,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1425,plain,
% 1.24/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 1.24/1.07 tff(1426,plain,
% 1.24/1.07 (~node8(s11)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1425, 383, 1414])).
% 1.24/1.07 tff(1427,plain,
% 1.24/1.07 (((~![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))),
% 1.24/1.07 inference(rewrite,[status(thm)],[])).
% 1.24/1.07 tff(1428,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 1.24/1.07 inference(quant_inst,[status(thm)],[])).
% 1.24/1.07 tff(1429,plain,
% 1.24/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 1.24/1.07 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 1.24/1.07 tff(1430,plain,
% 1.24/1.07 (node14(s11, s12)),
% 1.24/1.07 inference(unit_resolution,[status(thm)],[1429, 130, 1361])).
% 1.24/1.07 tff(1431,plain,
% 1.24/1.07 (((~![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(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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1432,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1433,plain,
% 1.24/1.08 ((~![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)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 1.24/1.08 tff(1434,plain,
% 1.24/1.08 ((~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)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1433, 704, 1430])).
% 1.24/1.08 tff(1435,plain,
% 1.24/1.08 (m_main_v_state2(s12, c_c2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1434, 1426, 1298, 1354, 1422, 1418])).
% 1.24/1.08 tff(1436,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1437,plain,
% 1.24/1.08 ((~![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)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1438,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 1.24/1.08 tff(1439,plain,
% 1.24/1.08 (~m_main_v_state2(s12, c_n2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1438, 716, 1435])).
% 1.24/1.08 tff(1440,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1441,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1442,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 1.24/1.08 tff(1443,plain,
% 1.24/1.08 (~node4(s12)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1442, 162, 1439])).
% 1.24/1.08 tff(1444,plain,
% 1.24/1.08 (succ(s12, s13) <=> succ(s12, s13)),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1445,axiom,(succ(s12, s13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound13')).
% 1.24/1.08 tff(1446,plain,
% 1.24/1.08 (succ(s12, s13)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 1.24/1.08 tff(1447,plain,
% 1.24/1.08 (((~![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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1448,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1449,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 1.24/1.08 tff(1450,plain,
% 1.24/1.08 (trans(s12, s13)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1449, 1446, 57])).
% 1.24/1.08 tff(1451,plain,
% 1.24/1.08 (((~![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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1452,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1453,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 1.24/1.08 tff(1454,plain,
% 1.24/1.08 (node7(s12, s13)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1453, 217, 1450])).
% 1.24/1.08 tff(1455,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1456,plain,
% 1.24/1.08 ((~![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)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1457,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 1.24/1.08 tff(1458,plain,
% 1.24/1.08 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1457, 745, 1454])).
% 1.24/1.08 tff(1459,plain,
% 1.24/1.08 (node6(s12, s13)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1458, 1443, 1407, 1403, 1399, 1395, 1378])).
% 1.24/1.08 tff(1460,plain,
% 1.24/1.08 (((~![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(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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1461,plain,
% 1.24/1.08 (((~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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1462,plain,
% 1.24/1.08 (((~![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))))),
% 1.24/1.08 inference(monotonicity,[status(thm)],[1461])).
% 1.24/1.08 tff(1463,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(transitivity,[status(thm)],[1462, 1460])).
% 1.24/1.08 tff(1464,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1465,plain,
% 1.24/1.08 ((~![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(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 1.24/1.08 tff(1466,plain,
% 1.24/1.08 (m_main_v_state1(s13, c_t1)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1465, 760, 1370, 1459])).
% 1.24/1.08 tff(1467,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1468,plain,
% 1.24/1.08 ((~![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)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1469,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1468, 1467])).
% 1.24/1.08 tff(1470,plain,
% 1.24/1.08 (~m_main_v_state2(s12, c_t2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1469, 173, 1435])).
% 1.24/1.08 tff(1471,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1472,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1473,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 1.24/1.08 tff(1474,plain,
% 1.24/1.08 (~node12(s12)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1473, 778, 1470])).
% 1.24/1.08 tff(1475,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1476,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1477,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 1.24/1.08 tff(1478,plain,
% 1.24/1.08 (~node11(s12)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1477, 361, 1374])).
% 1.24/1.08 tff(1479,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1480,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1481,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 1.24/1.08 tff(1482,plain,
% 1.24/1.08 (~node10(s12)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1481, 793, 1407])).
% 1.24/1.08 tff(1483,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1484,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1485,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 1.24/1.08 tff(1486,plain,
% 1.24/1.08 (~node9(s12)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1485, 804, 1374])).
% 1.24/1.08 tff(1487,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1488,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1489,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 1.24/1.08 tff(1490,plain,
% 1.24/1.08 (~node8(s12)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1489, 383, 1439])).
% 1.24/1.08 tff(1491,plain,
% 1.24/1.08 (((~![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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1492,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1493,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 1.24/1.08 tff(1494,plain,
% 1.24/1.08 (node14(s12, s13)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1493, 130, 1450])).
% 1.24/1.08 tff(1495,plain,
% 1.24/1.08 (((~![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(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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1496,plain,
% 1.24/1.08 (((~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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1497,plain,
% 1.24/1.08 (((~![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(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))))),
% 1.24/1.08 inference(monotonicity,[status(thm)],[1496])).
% 1.24/1.08 tff(1498,plain,
% 1.24/1.08 (((~![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(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)))),
% 1.24/1.08 inference(transitivity,[status(thm)],[1497, 1495])).
% 1.24/1.08 tff(1499,plain,
% 1.24/1.08 ((~![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(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1500,plain,
% 1.24/1.08 ((~![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(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 1.24/1.08 tff(1501,plain,
% 1.24/1.08 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1500, 826, 1494])).
% 1.24/1.08 tff(1502,plain,
% 1.24/1.08 (m_main_v_state2(s13, c_n2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1501, 1490, 1435, 1486, 1482, 1478, 1474])).
% 1.24/1.08 tff(1503,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1504,plain,
% 1.24/1.08 ((~![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)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1505,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 1.24/1.08 tff(1506,plain,
% 1.24/1.08 (~m_main_v_state2(s13, c_t2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1505, 10, 1502])).
% 1.24/1.08 tff(1507,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1508,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1509,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 1.24/1.08 tff(1510,plain,
% 1.24/1.08 (~node15(s13)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1509, 21, 1506])).
% 1.24/1.08 tff(1511,plain,
% 1.24/1.08 (succ(s13, s14) <=> succ(s13, s14)),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1512,axiom,(succ(s13, s14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound14')).
% 1.24/1.08 tff(1513,plain,
% 1.24/1.08 (succ(s13, s14)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 1.24/1.08 tff(1514,plain,
% 1.24/1.08 (((~![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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1515,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1516,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 1.24/1.08 tff(1517,plain,
% 1.24/1.08 (trans(s13, s14)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1516, 1513, 57])).
% 1.24/1.08 tff(1518,plain,
% 1.24/1.08 (((~![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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1519,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1520,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 1.24/1.08 tff(1521,plain,
% 1.24/1.08 (node18(s13, s14)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1520, 71, 1517])).
% 1.24/1.08 tff(1522,plain,
% 1.24/1.08 (((~![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(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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1523,plain,
% 1.24/1.08 (((~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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1524,plain,
% 1.24/1.08 (((~![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(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)))),
% 1.24/1.08 inference(monotonicity,[status(thm)],[1523])).
% 1.24/1.08 tff(1525,plain,
% 1.24/1.08 (((~![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(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))),
% 1.24/1.08 inference(transitivity,[status(thm)],[1524, 1522])).
% 1.24/1.08 tff(1526,plain,
% 1.24/1.08 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1527,plain,
% 1.24/1.08 ((~![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(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)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 1.24/1.08 tff(1528,plain,
% 1.24/1.08 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1527, 863, 1521])).
% 1.24/1.08 tff(1529,plain,
% 1.24/1.08 (m_main_v_turn(s14, c_1)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1528, 1510, 1502, 1466])).
% 1.24/1.08 tff(1530,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1531,plain,
% 1.24/1.08 ((~![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)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1532,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 1.24/1.08 tff(1533,plain,
% 1.24/1.08 (~m_main_v_turn(s14, c_2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1532, 322, 1529])).
% 1.24/1.08 tff(1534,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1535,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1536,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 1.24/1.08 tff(1537,plain,
% 1.24/1.08 (~node12(s14)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1536, 350, 1533])).
% 1.24/1.08 tff(1538,plain,
% 1.24/1.08 (((~![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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1539,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1540,plain,
% 1.24/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 1.24/1.08 tff(1541,plain,
% 1.24/1.08 (node14(s13, s14)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1540, 130, 1517])).
% 1.24/1.08 tff(1542,plain,
% 1.24/1.08 (((~![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(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))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1543,plain,
% 1.24/1.08 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1544,plain,
% 1.24/1.08 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 1.24/1.08 tff(1545,plain,
% 1.24/1.08 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1544, 893, 1541])).
% 1.24/1.08 tff(1546,plain,
% 1.24/1.08 (m_main_v_state2(s14, c_t2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1545, 1466, 1502])).
% 1.24/1.08 tff(1547,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1548,plain,
% 1.24/1.08 ((~![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)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1549,plain,
% 1.24/1.08 ((~![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 1.24/1.08 tff(1550,plain,
% 1.24/1.08 (~m_main_v_state2(s14, c_n2)),
% 1.24/1.08 inference(unit_resolution,[status(thm)],[1549, 10, 1546])).
% 1.24/1.08 tff(1551,plain,
% 1.24/1.08 (((~![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)))),
% 1.24/1.08 inference(rewrite,[status(thm)],[])).
% 1.24/1.08 tff(1552,plain,
% 1.24/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 1.24/1.08 inference(quant_inst,[status(thm)],[])).
% 1.24/1.08 tff(1553,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 1.24/1.09 tff(1554,plain,
% 1.24/1.09 (~node8(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1553, 383, 1550])).
% 1.24/1.09 tff(1555,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1556,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1557,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 1.24/1.09 tff(1558,plain,
% 1.24/1.09 (~node9(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1557, 311, 1550])).
% 1.24/1.09 tff(1559,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1560,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1561,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 1.24/1.09 tff(1562,plain,
% 1.24/1.09 (~node10(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1561, 372, 1550])).
% 1.24/1.09 tff(1563,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1564,plain,
% 1.24/1.09 ((~![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)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1565,plain,
% 1.24/1.09 ((~![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))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 1.24/1.09 tff(1566,plain,
% 1.24/1.09 (~m_main_v_state2(s14, c_c2)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1565, 173, 1546])).
% 1.24/1.09 tff(1567,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1568,plain,
% 1.24/1.09 ((~![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)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1569,plain,
% 1.24/1.09 ((~![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))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 1.24/1.09 tff(1570,plain,
% 1.24/1.09 (~m_main_v_state2(s13, c_c2)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1569, 716, 1502])).
% 1.24/1.09 tff(1571,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1572,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1573,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 1.24/1.09 tff(1574,plain,
% 1.24/1.09 (~node3(s13)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1573, 184, 1570])).
% 1.24/1.09 tff(1575,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1576,plain,
% 1.24/1.09 (((~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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1577,plain,
% 1.24/1.09 (((~![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))))),
% 1.24/1.09 inference(monotonicity,[status(thm)],[1576])).
% 1.24/1.09 tff(1578,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(transitivity,[status(thm)],[1577, 1575])).
% 1.24/1.09 tff(1579,plain,
% 1.24/1.09 ((~![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)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1580,plain,
% 1.24/1.09 ((~![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))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 1.24/1.09 tff(1581,plain,
% 1.24/1.09 (~m_main_v_state1(s13, c_n1)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1580, 936, 1374, 1459])).
% 1.24/1.09 tff(1582,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1583,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1584,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 1.24/1.09 tff(1585,plain,
% 1.24/1.09 (~node2(s13)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1584, 652, 1581])).
% 1.24/1.09 tff(1586,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1587,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1588,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 1.24/1.09 tff(1589,plain,
% 1.24/1.09 (~node1(s13)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1588, 206, 1506])).
% 1.24/1.09 tff(1590,plain,
% 1.24/1.09 (((~![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))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1591,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1592,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 1.24/1.09 tff(1593,plain,
% 1.24/1.09 (node7(s13, s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1592, 217, 1517])).
% 1.24/1.09 tff(1594,plain,
% 1.24/1.09 (((~![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(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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1595,plain,
% 1.24/1.09 (((~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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1596,plain,
% 1.24/1.09 (((~![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(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))))),
% 1.24/1.09 inference(monotonicity,[status(thm)],[1595])).
% 1.24/1.09 tff(1597,plain,
% 1.24/1.09 (((~![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(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)))),
% 1.24/1.09 inference(transitivity,[status(thm)],[1596, 1594])).
% 1.24/1.09 tff(1598,plain,
% 1.24/1.09 ((~![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(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))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1599,plain,
% 1.24/1.09 ((~![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(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))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 1.24/1.09 tff(1600,plain,
% 1.24/1.09 ((~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)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1599, 965, 1593])).
% 1.24/1.09 tff(1601,plain,
% 1.24/1.09 (m_main_v_state1(s14, c_c1)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1600, 1589, 1502, 1466, 1585, 1574])).
% 1.24/1.09 tff(1602,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1603,plain,
% 1.24/1.09 ((~![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)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1604,plain,
% 1.24/1.09 ((~![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))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 1.24/1.09 tff(1605,plain,
% 1.24/1.09 (~m_main_v_state1(s14, c_n1)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1604, 449, 1601])).
% 1.24/1.09 tff(1606,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1607,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1608,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 1.24/1.09 tff(1609,plain,
% 1.24/1.09 (~node11(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1608, 361, 1605])).
% 1.24/1.09 tff(1610,plain,
% 1.24/1.09 (succ(s14, s15) <=> succ(s14, s15)),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1611,axiom,(succ(s14, s15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound15')).
% 1.24/1.09 tff(1612,plain,
% 1.24/1.09 (succ(s14, s15)),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 1.24/1.09 tff(1613,plain,
% 1.24/1.09 (((~![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))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1614,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1615,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 1.24/1.09 tff(1616,plain,
% 1.24/1.09 (trans(s14, s15)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1615, 1612, 57])).
% 1.24/1.09 tff(1617,plain,
% 1.24/1.09 (((~![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))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1618,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1619,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 1.24/1.09 tff(1620,plain,
% 1.24/1.09 (node14(s14, s15)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1619, 130, 1616])).
% 1.24/1.09 tff(1621,plain,
% 1.24/1.09 (((~![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(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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1622,plain,
% 1.24/1.09 ((~![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(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1623,plain,
% 1.24/1.09 ((~![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(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 1.24/1.09 tff(1624,plain,
% 1.24/1.09 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1623, 401, 1620])).
% 1.24/1.09 tff(1625,plain,
% 1.24/1.09 (node13(s14, s15)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1624, 1609, 1566, 1562, 1558, 1554, 1537])).
% 1.24/1.09 tff(1626,plain,
% 1.24/1.09 (((~![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(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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1627,plain,
% 1.24/1.09 (((~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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1628,plain,
% 1.24/1.09 (((~![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))))),
% 1.24/1.09 inference(monotonicity,[status(thm)],[1627])).
% 1.24/1.09 tff(1629,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(transitivity,[status(thm)],[1628, 1626])).
% 1.24/1.09 tff(1630,plain,
% 1.24/1.09 ((~![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)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1631,plain,
% 1.24/1.09 ((~![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(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 1.24/1.09 tff(1632,plain,
% 1.24/1.09 (~m_main_v_state2(s15, c_n2)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1631, 416, 1550, 1625])).
% 1.24/1.09 tff(1633,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1634,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1635,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 1.24/1.09 tff(1636,plain,
% 1.24/1.09 (~node9(s15)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1635, 311, 1632])).
% 1.24/1.09 tff(1637,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1638,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1639,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 1.24/1.09 tff(1640,plain,
% 1.24/1.09 (~node10(s15)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1639, 372, 1632])).
% 1.24/1.09 tff(1641,plain,
% 1.24/1.09 (((~![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(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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1642,plain,
% 1.24/1.09 (((~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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1643,plain,
% 1.24/1.09 (((~![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))))),
% 1.24/1.09 inference(monotonicity,[status(thm)],[1642])).
% 1.24/1.09 tff(1644,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(transitivity,[status(thm)],[1643, 1641])).
% 1.24/1.09 tff(1645,plain,
% 1.24/1.09 ((~![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))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1646,plain,
% 1.24/1.09 ((~![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(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 1.24/1.09 tff(1647,plain,
% 1.24/1.09 (m_main_v_state2(s15, c_t2)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1646, 563, 1546, 1625])).
% 1.24/1.09 tff(1648,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1649,plain,
% 1.24/1.09 ((~![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)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1650,plain,
% 1.24/1.09 ((~![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))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 1.24/1.09 tff(1651,plain,
% 1.24/1.09 (~m_main_v_state1(s14, c_t1)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1650, 289, 1601])).
% 1.24/1.09 tff(1652,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1653,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1654,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 1.24/1.09 tff(1655,plain,
% 1.24/1.09 (~node5(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1654, 300, 1651])).
% 1.24/1.09 tff(1656,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1657,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1658,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 1.24/1.09 tff(1659,plain,
% 1.24/1.09 (~node4(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1658, 162, 1550])).
% 1.24/1.09 tff(1660,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1661,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1662,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 1.24/1.09 tff(1663,plain,
% 1.24/1.09 (~node3(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1662, 184, 1566])).
% 1.24/1.09 tff(1664,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1665,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1666,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 1.24/1.09 tff(1667,plain,
% 1.24/1.09 (~node2(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1666, 195, 1550])).
% 1.24/1.09 tff(1668,plain,
% 1.24/1.09 (((~![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)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1669,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1670,plain,
% 1.24/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 1.24/1.09 tff(1671,plain,
% 1.24/1.09 (~node1(s14)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1670, 249, 1605])).
% 1.24/1.09 tff(1672,plain,
% 1.24/1.09 (((~![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))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(1673,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(1674,plain,
% 1.24/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 1.24/1.09 tff(1675,plain,
% 1.24/1.09 (node7(s14, s15)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[1674, 217, 1616])).
% 1.24/1.09 tff(1676,plain,
% 1.24/1.09 (((~![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(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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1677,plain,
% 1.24/1.10 (((~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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1678,plain,
% 1.24/1.10 (((~![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))))),
% 1.24/1.10 inference(monotonicity,[status(thm)],[1677])).
% 1.24/1.10 tff(1679,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(transitivity,[status(thm)],[1678, 1676])).
% 1.24/1.10 tff(1680,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1681,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 1.24/1.10 tff(1682,plain,
% 1.24/1.10 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1681, 478, 1675])).
% 1.24/1.10 tff(1683,plain,
% 1.24/1.10 (m_main_v_state1(s15, c_n1)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1682, 1671, 1601, 1667, 1663, 1659, 1655])).
% 1.24/1.10 tff(1684,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1685,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1686,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 1.24/1.10 tff(1687,plain,
% 1.24/1.10 (~node8(s15)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1686, 383, 1632])).
% 1.24/1.10 tff(1688,plain,
% 1.24/1.10 (succ(s15, s16) <=> succ(s15, s16)),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1689,axiom,(succ(s15, s16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound16')).
% 1.24/1.10 tff(1690,plain,
% 1.24/1.10 (succ(s15, s16)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 1.24/1.10 tff(1691,plain,
% 1.24/1.10 (((~![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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1692,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1693,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 1.24/1.10 tff(1694,plain,
% 1.24/1.10 (trans(s15, s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1693, 1690, 57])).
% 1.24/1.10 tff(1695,plain,
% 1.24/1.10 (((~![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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1696,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1697,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 1.24/1.10 tff(1698,plain,
% 1.24/1.10 (node14(s15, s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1697, 130, 1694])).
% 1.24/1.10 tff(1699,plain,
% 1.24/1.10 (((~![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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1700,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1701,plain,
% 1.24/1.10 ((~![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)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 1.24/1.10 tff(1702,plain,
% 1.24/1.10 ((~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)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1701, 704, 1698])).
% 1.24/1.10 tff(1703,plain,
% 1.24/1.10 (m_main_v_state2(s16, c_c2)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1702, 1687, 1683, 1647, 1640, 1636])).
% 1.24/1.10 tff(1704,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1705,plain,
% 1.24/1.10 ((~![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)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1706,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 1.24/1.10 tff(1707,plain,
% 1.24/1.10 (~m_main_v_state2(s16, c_t2)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1706, 173, 1703])).
% 1.24/1.10 tff(1708,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1709,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1710,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 1.24/1.10 tff(1711,plain,
% 1.24/1.10 (~node12(s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1710, 778, 1707])).
% 1.24/1.10 tff(1712,plain,
% 1.24/1.10 (((~![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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1713,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1714,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 1.24/1.10 tff(1715,plain,
% 1.24/1.10 (node7(s15, s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1714, 217, 1694])).
% 1.24/1.10 tff(1716,plain,
% 1.24/1.10 (((~![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(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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1717,plain,
% 1.24/1.10 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1718,plain,
% 1.24/1.10 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 1.24/1.10 tff(1719,plain,
% 1.24/1.10 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1718, 598, 1715])).
% 1.24/1.10 tff(1720,plain,
% 1.24/1.10 (m_main_v_state1(s16, c_t1)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1719, 1647, 1683])).
% 1.24/1.10 tff(1721,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1722,plain,
% 1.24/1.10 ((~![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)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1723,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 1.24/1.10 tff(1724,plain,
% 1.24/1.10 (~m_main_v_state1(s16, c_n1)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1723, 35, 1720])).
% 1.24/1.10 tff(1725,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1726,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1727,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 1.24/1.10 tff(1728,plain,
% 1.24/1.10 (~node11(s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1727, 361, 1724])).
% 1.24/1.10 tff(1729,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1730,plain,
% 1.24/1.10 ((~![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)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1731,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 1.24/1.10 tff(1732,plain,
% 1.24/1.10 (~m_main_v_state1(s16, c_c1)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1731, 289, 1720])).
% 1.24/1.10 tff(1733,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1734,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1735,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 1.24/1.10 tff(1736,plain,
% 1.24/1.10 (~node10(s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1735, 793, 1732])).
% 1.24/1.10 tff(1737,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1738,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1739,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 1.24/1.10 tff(1740,plain,
% 1.24/1.10 (~node9(s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1739, 804, 1724])).
% 1.24/1.10 tff(1741,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1742,plain,
% 1.24/1.10 ((~![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)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1743,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 1.24/1.10 tff(1744,plain,
% 1.24/1.10 (~m_main_v_state2(s16, c_n2)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1743, 716, 1703])).
% 1.24/1.10 tff(1745,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1746,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1747,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 1.24/1.10 tff(1748,plain,
% 1.24/1.10 (~node8(s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1747, 383, 1744])).
% 1.24/1.10 tff(1749,plain,
% 1.24/1.10 (succ(s16, s17) <=> succ(s16, s17)),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1750,axiom,(succ(s16, s17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound17')).
% 1.24/1.10 tff(1751,plain,
% 1.24/1.10 (succ(s16, s17)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 1.24/1.10 tff(1752,plain,
% 1.24/1.10 (((~![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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1753,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1754,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 1.24/1.10 tff(1755,plain,
% 1.24/1.10 (trans(s16, s17)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1754, 1751, 57])).
% 1.24/1.10 tff(1756,plain,
% 1.24/1.10 (((~![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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1757,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1758,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 1.24/1.10 tff(1759,plain,
% 1.24/1.10 (node14(s16, s17)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1758, 130, 1755])).
% 1.24/1.10 tff(1760,plain,
% 1.24/1.10 (((~![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(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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1761,plain,
% 1.24/1.10 (((~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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1762,plain,
% 1.24/1.10 (((~![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(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))))),
% 1.24/1.10 inference(monotonicity,[status(thm)],[1761])).
% 1.24/1.10 tff(1763,plain,
% 1.24/1.10 (((~![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(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)))),
% 1.24/1.10 inference(transitivity,[status(thm)],[1762, 1760])).
% 1.24/1.10 tff(1764,plain,
% 1.24/1.10 ((~![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(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1765,plain,
% 1.24/1.10 ((~![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(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 1.24/1.10 tff(1766,plain,
% 1.24/1.10 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1765, 826, 1759])).
% 1.24/1.10 tff(1767,plain,
% 1.24/1.10 (m_main_v_state2(s17, c_n2)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1766, 1748, 1703, 1740, 1736, 1728, 1711])).
% 1.24/1.10 tff(1768,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1769,plain,
% 1.24/1.10 ((~![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)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1770,plain,
% 1.24/1.10 ((~![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))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 1.24/1.10 tff(1771,plain,
% 1.24/1.10 (~m_main_v_state2(s17, c_c2)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1770, 716, 1767])).
% 1.24/1.10 tff(1772,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1773,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1774,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 1.24/1.10 tff(1775,plain,
% 1.24/1.10 (~node3(s17)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1774, 184, 1771])).
% 1.24/1.10 tff(1776,plain,
% 1.24/1.10 (((~![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)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1777,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 1.24/1.10 inference(quant_inst,[status(thm)],[])).
% 1.24/1.10 tff(1778,plain,
% 1.24/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 1.24/1.10 tff(1779,plain,
% 1.24/1.10 (~node1(s16)),
% 1.24/1.10 inference(unit_resolution,[status(thm)],[1778, 249, 1724])).
% 1.24/1.10 tff(1780,plain,
% 1.24/1.10 (((~![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))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(1781,plain,
% 1.24/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1782,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 1.24/1.11 tff(1783,plain,
% 1.24/1.11 (node18(s15, s16)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1782, 71, 1694])).
% 1.24/1.11 tff(1784,plain,
% 1.24/1.11 (((~![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))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1785,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1786,plain,
% 1.24/1.11 ((~![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)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 1.24/1.11 tff(1787,plain,
% 1.24/1.11 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1786, 625, 1783])).
% 1.24/1.11 tff(1788,plain,
% 1.24/1.11 (m_main_v_turn(s16, c_2)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1787, 1647, 1683])).
% 1.24/1.11 tff(1789,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1790,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1791,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 1.24/1.11 tff(1792,plain,
% 1.24/1.11 (~m_main_v_turn(s16, c_1)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1791, 322, 1788])).
% 1.24/1.11 tff(1793,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1794,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1795,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 1.24/1.11 tff(1796,plain,
% 1.24/1.11 (~node5(s16)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1795, 641, 1792])).
% 1.24/1.11 tff(1797,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1798,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1799,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 1.24/1.11 tff(1800,plain,
% 1.24/1.11 (~node2(s16)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1799, 652, 1724])).
% 1.24/1.11 tff(1801,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1802,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1803,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 1.24/1.11 tff(1804,plain,
% 1.24/1.11 (~node3(s16)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1803, 663, 1724])).
% 1.24/1.11 tff(1805,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1806,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1807,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 1.24/1.11 tff(1808,plain,
% 1.24/1.11 (~node4(s16)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1807, 162, 1744])).
% 1.24/1.11 tff(1809,plain,
% 1.24/1.11 (((~![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))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1810,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1811,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 1.24/1.11 tff(1812,plain,
% 1.24/1.11 (node7(s16, s17)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1811, 217, 1755])).
% 1.24/1.11 tff(1813,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1814,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1815,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 1.24/1.11 tff(1816,plain,
% 1.24/1.11 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1815, 745, 1812])).
% 1.24/1.11 tff(1817,plain,
% 1.24/1.11 (node6(s16, s17)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1816, 1808, 1732, 1804, 1800, 1796, 1779])).
% 1.24/1.11 tff(1818,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1819,plain,
% 1.24/1.11 (((~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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1820,plain,
% 1.24/1.11 (((~![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))))),
% 1.24/1.11 inference(monotonicity,[status(thm)],[1819])).
% 1.24/1.11 tff(1821,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(transitivity,[status(thm)],[1820, 1818])).
% 1.24/1.11 tff(1822,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1823,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 1.24/1.11 tff(1824,plain,
% 1.24/1.11 (~m_main_v_state1(s17, c_n1)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1823, 936, 1724, 1817])).
% 1.24/1.11 tff(1825,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1826,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1827,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 1.24/1.11 tff(1828,plain,
% 1.24/1.11 (~node2(s17)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1827, 652, 1824])).
% 1.24/1.11 tff(1829,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1830,plain,
% 1.24/1.11 (((~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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1831,plain,
% 1.24/1.11 (((~![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))))),
% 1.24/1.11 inference(monotonicity,[status(thm)],[1830])).
% 1.24/1.11 tff(1832,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(transitivity,[status(thm)],[1831, 1829])).
% 1.24/1.11 tff(1833,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1834,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 1.24/1.11 tff(1835,plain,
% 1.24/1.11 (m_main_v_state1(s17, c_t1)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1834, 760, 1720, 1817])).
% 1.24/1.11 tff(1836,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1837,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1838,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 1.24/1.11 tff(1839,plain,
% 1.24/1.11 (~m_main_v_state2(s17, c_t2)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1838, 10, 1767])).
% 1.24/1.11 tff(1840,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1841,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1842,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 1.24/1.11 tff(1843,plain,
% 1.24/1.11 (~node1(s17)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1842, 206, 1839])).
% 1.24/1.11 tff(1844,plain,
% 1.24/1.11 (succ(s17, s18) <=> succ(s17, s18)),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1845,axiom,(succ(s17, s18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound18')).
% 1.24/1.11 tff(1846,plain,
% 1.24/1.11 (succ(s17, s18)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 1.24/1.11 tff(1847,plain,
% 1.24/1.11 (((~![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))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1848,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1849,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 1.24/1.11 tff(1850,plain,
% 1.24/1.11 (trans(s17, s18)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1849, 1846, 57])).
% 1.24/1.11 tff(1851,plain,
% 1.24/1.11 (((~![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))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1852,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1853,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 1.24/1.11 tff(1854,plain,
% 1.24/1.11 (node7(s17, s18)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1853, 217, 1850])).
% 1.24/1.11 tff(1855,plain,
% 1.24/1.11 (((~![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(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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1856,plain,
% 1.24/1.11 (((~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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1857,plain,
% 1.24/1.11 (((~![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(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))))),
% 1.24/1.11 inference(monotonicity,[status(thm)],[1856])).
% 1.24/1.11 tff(1858,plain,
% 1.24/1.11 (((~![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(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)))),
% 1.24/1.11 inference(transitivity,[status(thm)],[1857, 1855])).
% 1.24/1.11 tff(1859,plain,
% 1.24/1.11 ((~![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(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))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1860,plain,
% 1.24/1.11 ((~![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(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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 1.24/1.11 tff(1861,plain,
% 1.24/1.11 ((~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)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1860, 965, 1854])).
% 1.24/1.11 tff(1862,plain,
% 1.24/1.11 (m_main_v_state1(s18, c_c1)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1861, 1843, 1767, 1835, 1828, 1775])).
% 1.24/1.11 tff(1863,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1864,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1865,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 1.24/1.11 tff(1866,plain,
% 1.24/1.11 (~m_main_v_state1(s18, c_t1)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1865, 289, 1862])).
% 1.24/1.11 tff(1867,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1868,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1869,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 1.24/1.11 tff(1870,plain,
% 1.24/1.11 (~node5(s18)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1869, 300, 1866])).
% 1.24/1.11 tff(1871,plain,
% 1.24/1.11 (((~![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))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1872,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1873,plain,
% 1.24/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 1.24/1.11 tff(1874,plain,
% 1.24/1.11 (node14(s17, s18)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1873, 130, 1850])).
% 1.24/1.11 tff(1875,plain,
% 1.24/1.11 (((~![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(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))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1876,plain,
% 1.24/1.11 ((~![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(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1877,plain,
% 1.24/1.11 ((~![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(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 1.24/1.11 tff(1878,plain,
% 1.24/1.11 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1877, 893, 1874])).
% 1.24/1.11 tff(1879,plain,
% 1.24/1.11 (m_main_v_state2(s18, c_t2)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1878, 1835, 1767])).
% 1.24/1.11 tff(1880,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1881,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1882,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 1.24/1.11 tff(1883,plain,
% 1.24/1.11 (~m_main_v_state2(s18, c_n2)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1882, 10, 1879])).
% 1.24/1.11 tff(1884,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1885,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1886,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 1.24/1.11 tff(1887,plain,
% 1.24/1.11 (~node4(s18)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1886, 162, 1883])).
% 1.24/1.11 tff(1888,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1889,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1890,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 1.24/1.11 tff(1891,plain,
% 1.24/1.11 (~m_main_v_state2(s18, c_c2)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1890, 173, 1879])).
% 1.24/1.11 tff(1892,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1893,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1894,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 1.24/1.11 tff(1895,plain,
% 1.24/1.11 (~node3(s18)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1894, 184, 1891])).
% 1.24/1.11 tff(1896,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1897,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1898,plain,
% 1.24/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 1.24/1.11 tff(1899,plain,
% 1.24/1.11 (~node2(s18)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1898, 195, 1883])).
% 1.24/1.11 tff(1900,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(1901,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(1902,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 1.24/1.11 tff(1903,plain,
% 1.24/1.11 (~m_main_v_state1(s18, c_n1)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[1902, 449, 1862])).
% 1.24/1.11 tff(1904,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1905,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1906,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 1.24/1.12 tff(1907,plain,
% 1.24/1.12 (~node1(s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1906, 249, 1903])).
% 1.24/1.12 tff(1908,plain,
% 1.24/1.12 (succ(s18, s19) <=> succ(s18, s19)),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1909,axiom,(succ(s18, s19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound19')).
% 1.24/1.12 tff(1910,plain,
% 1.24/1.12 (succ(s18, s19)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 1.24/1.12 tff(1911,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1912,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1913,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 1.24/1.12 tff(1914,plain,
% 1.24/1.12 (trans(s18, s19)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1913, 1910, 57])).
% 1.24/1.12 tff(1915,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1916,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1917,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 1.24/1.12 tff(1918,plain,
% 1.24/1.12 (node7(s18, s19)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1917, 217, 1914])).
% 1.24/1.12 tff(1919,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1920,plain,
% 1.24/1.12 (((~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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1921,plain,
% 1.24/1.12 (((~![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))))),
% 1.24/1.12 inference(monotonicity,[status(thm)],[1920])).
% 1.24/1.12 tff(1922,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(transitivity,[status(thm)],[1921, 1919])).
% 1.24/1.12 tff(1923,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1924,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 1.24/1.12 tff(1925,plain,
% 1.24/1.12 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1924, 478, 1918])).
% 1.24/1.12 tff(1926,plain,
% 1.24/1.12 (m_main_v_state1(s19, c_n1)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1925, 1907, 1862, 1899, 1895, 1887, 1870])).
% 1.24/1.12 tff(1927,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1928,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1929,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 1.24/1.12 tff(1930,plain,
% 1.24/1.12 (~node15(s17)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1929, 21, 1839])).
% 1.24/1.12 tff(1931,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1932,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1933,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 1.24/1.12 tff(1934,plain,
% 1.24/1.12 (node18(s17, s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1933, 71, 1850])).
% 1.24/1.12 tff(1935,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1936,plain,
% 1.24/1.12 (((~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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1937,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(monotonicity,[status(thm)],[1936])).
% 1.24/1.12 tff(1938,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(transitivity,[status(thm)],[1937, 1935])).
% 1.24/1.12 tff(1939,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1940,plain,
% 1.24/1.12 ((~![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)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 1.24/1.12 tff(1941,plain,
% 1.24/1.12 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1940, 863, 1934])).
% 1.24/1.12 tff(1942,plain,
% 1.24/1.12 (m_main_v_turn(s18, c_1)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1941, 1930, 1767, 1835])).
% 1.24/1.12 tff(1943,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1944,plain,
% 1.24/1.12 ((~![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)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1945,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 1.24/1.12 tff(1946,plain,
% 1.24/1.12 (~m_main_v_turn(s18, c_2)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1945, 322, 1942])).
% 1.24/1.12 tff(1947,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1948,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1949,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 1.24/1.12 tff(1950,plain,
% 1.24/1.12 (~node12(s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1949, 350, 1946])).
% 1.24/1.12 tff(1951,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1952,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1953,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 1.24/1.12 tff(1954,plain,
% 1.24/1.12 (~node8(s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1953, 383, 1883])).
% 1.24/1.12 tff(1955,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1956,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1957,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 1.24/1.12 tff(1958,plain,
% 1.24/1.12 (~node9(s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1957, 311, 1883])).
% 1.24/1.12 tff(1959,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1960,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1961,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 1.24/1.12 tff(1962,plain,
% 1.24/1.12 (~node10(s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1961, 372, 1883])).
% 1.24/1.12 tff(1963,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1964,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1965,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 1.24/1.12 tff(1966,plain,
% 1.24/1.12 (~node11(s18)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1965, 361, 1903])).
% 1.24/1.12 tff(1967,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1968,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1969,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 1.24/1.12 tff(1970,plain,
% 1.24/1.12 (node14(s18, s19)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1969, 130, 1914])).
% 1.24/1.12 tff(1971,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1972,plain,
% 1.24/1.12 ((~![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)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1973,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 1.24/1.12 tff(1974,plain,
% 1.24/1.12 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1973, 401, 1970])).
% 1.24/1.12 tff(1975,plain,
% 1.24/1.12 (node13(s18, s19)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1974, 1966, 1891, 1962, 1958, 1954, 1950])).
% 1.24/1.12 tff(1976,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1977,plain,
% 1.24/1.12 (((~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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1978,plain,
% 1.24/1.12 (((~![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))))),
% 1.24/1.12 inference(monotonicity,[status(thm)],[1977])).
% 1.24/1.12 tff(1979,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(transitivity,[status(thm)],[1978, 1976])).
% 1.24/1.12 tff(1980,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1981,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 1.24/1.12 tff(1982,plain,
% 1.24/1.12 (m_main_v_state2(s19, c_t2)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1981, 563, 1879, 1975])).
% 1.24/1.12 tff(1983,plain,
% 1.24/1.12 (succ(s19, s20) <=> succ(s19, s20)),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1984,axiom,(succ(s19, s20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound20')).
% 1.24/1.12 tff(1985,plain,
% 1.24/1.12 (succ(s19, s20)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 1.24/1.12 tff(1986,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1987,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1988,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 1.24/1.12 tff(1989,plain,
% 1.24/1.12 (trans(s19, s20)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1988, 1985, 57])).
% 1.24/1.12 tff(1990,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1991,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1992,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 1.24/1.12 tff(1993,plain,
% 1.24/1.12 (node7(s19, s20)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1992, 217, 1989])).
% 1.24/1.12 tff(1994,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(1995,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(1996,plain,
% 1.24/1.12 ((~![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)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 1.24/1.12 tff(1997,plain,
% 1.24/1.12 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1996, 598, 1993])).
% 1.24/1.12 tff(1998,plain,
% 1.24/1.12 (m_main_v_state1(s20, c_t1)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[1997, 1982, 1926])).
% 1.24/1.12 tff(1999,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(2000,plain,
% 1.24/1.12 ((~![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)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(2001,plain,
% 1.24/1.12 ((~![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))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[2000, 1999])).
% 1.24/1.12 tff(2002,plain,
% 1.24/1.12 (~m_main_v_state1(s20, c_n1)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[2001, 35, 1998])).
% 1.24/1.12 tff(2003,plain,
% 1.24/1.12 (((~![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)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(2004,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(2005,plain,
% 1.24/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 1.24/1.12 tff(2006,plain,
% 1.24/1.12 (~node1(s20)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[2005, 249, 2002])).
% 1.24/1.12 tff(2007,plain,
% 1.24/1.12 (((~![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))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(2008,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(2009,plain,
% 1.24/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 1.24/1.13 tff(2010,plain,
% 1.24/1.13 (node18(s19, s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2009, 71, 1989])).
% 1.24/1.13 tff(2011,plain,
% 1.24/1.13 (((~![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))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2012,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2013,plain,
% 1.24/1.13 ((~![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)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 1.24/1.13 tff(2014,plain,
% 1.24/1.13 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2013, 625, 2010])).
% 1.24/1.13 tff(2015,plain,
% 1.24/1.13 (m_main_v_turn(s20, c_2)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2014, 1982, 1926])).
% 1.24/1.13 tff(2016,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2017,plain,
% 1.24/1.13 ((~![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)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2018,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 1.24/1.13 tff(2019,plain,
% 1.24/1.13 (~m_main_v_turn(s20, c_1)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2018, 322, 2015])).
% 1.24/1.13 tff(2020,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2021,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2022,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 1.24/1.13 tff(2023,plain,
% 1.24/1.13 (~node5(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2022, 641, 2019])).
% 1.24/1.13 tff(2024,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2025,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2026,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 1.24/1.13 tff(2027,plain,
% 1.24/1.13 (~node2(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2026, 652, 2002])).
% 1.24/1.13 tff(2028,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2029,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2030,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 1.24/1.13 tff(2031,plain,
% 1.24/1.13 (~node3(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2030, 663, 2002])).
% 1.24/1.13 tff(2032,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2033,plain,
% 1.24/1.13 ((~![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)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2034,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 1.24/1.13 tff(2035,plain,
% 1.24/1.13 (~m_main_v_state1(s20, c_c1)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2034, 289, 1998])).
% 1.24/1.13 tff(2036,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2037,plain,
% 1.24/1.13 (((~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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2038,plain,
% 1.24/1.13 (((~![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))))),
% 1.24/1.13 inference(monotonicity,[status(thm)],[2037])).
% 1.24/1.13 tff(2039,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(transitivity,[status(thm)],[2038, 2036])).
% 1.24/1.13 tff(2040,plain,
% 1.24/1.13 ((~![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)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2041,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 1.24/1.13 tff(2042,plain,
% 1.24/1.13 (~m_main_v_state2(s19, c_n2)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2041, 416, 1883, 1975])).
% 1.24/1.13 tff(2043,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2044,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2045,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 1.24/1.13 tff(2046,plain,
% 1.24/1.13 (~node9(s19)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2045, 311, 2042])).
% 1.24/1.13 tff(2047,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2048,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2049,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 1.24/1.13 tff(2050,plain,
% 1.24/1.13 (~node10(s19)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2049, 372, 2042])).
% 1.24/1.13 tff(2051,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2052,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2053,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 1.24/1.13 tff(2054,plain,
% 1.24/1.13 (~node8(s19)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2053, 383, 2042])).
% 1.24/1.13 tff(2055,plain,
% 1.24/1.13 (((~![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))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2056,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2057,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 1.24/1.13 tff(2058,plain,
% 1.24/1.13 (node14(s19, s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2057, 130, 1989])).
% 1.24/1.13 tff(2059,plain,
% 1.24/1.13 (((~![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))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2060,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2061,plain,
% 1.24/1.13 ((~![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)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 1.24/1.13 tff(2062,plain,
% 1.24/1.13 ((~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)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2061, 704, 2058])).
% 1.24/1.13 tff(2063,plain,
% 1.24/1.13 (m_main_v_state2(s20, c_c2)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2062, 2054, 1926, 1982, 2050, 2046])).
% 1.24/1.13 tff(2064,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2065,plain,
% 1.24/1.13 ((~![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)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2066,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 1.24/1.13 tff(2067,plain,
% 1.24/1.13 (~m_main_v_state2(s20, c_n2)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2066, 716, 2063])).
% 1.24/1.13 tff(2068,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2069,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2070,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 1.24/1.13 tff(2071,plain,
% 1.24/1.13 (~node4(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2070, 162, 2067])).
% 1.24/1.13 tff(2072,plain,
% 1.24/1.13 (succ(s20, s21) <=> succ(s20, s21)),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2073,axiom,(succ(s20, s21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound21')).
% 1.24/1.13 tff(2074,plain,
% 1.24/1.13 (succ(s20, s21)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 1.24/1.13 tff(2075,plain,
% 1.24/1.13 (((~![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))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2076,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2077,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 1.24/1.13 tff(2078,plain,
% 1.24/1.13 (trans(s20, s21)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2077, 2074, 57])).
% 1.24/1.13 tff(2079,plain,
% 1.24/1.13 (((~![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))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2080,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2081,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 1.24/1.13 tff(2082,plain,
% 1.24/1.13 (node7(s20, s21)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2081, 217, 2078])).
% 1.24/1.13 tff(2083,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2084,plain,
% 1.24/1.13 ((~![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)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2085,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 1.24/1.13 tff(2086,plain,
% 1.24/1.13 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2085, 745, 2082])).
% 1.24/1.13 tff(2087,plain,
% 1.24/1.13 (node6(s20, s21)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2086, 2071, 2035, 2031, 2027, 2023, 2006])).
% 1.24/1.13 tff(2088,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2089,plain,
% 1.24/1.13 (((~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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2090,plain,
% 1.24/1.13 (((~![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))))),
% 1.24/1.13 inference(monotonicity,[status(thm)],[2089])).
% 1.24/1.13 tff(2091,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(transitivity,[status(thm)],[2090, 2088])).
% 1.24/1.13 tff(2092,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2093,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 1.24/1.13 tff(2094,plain,
% 1.24/1.13 (m_main_v_state1(s21, c_t1)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2093, 760, 1998, 2087])).
% 1.24/1.13 tff(2095,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2096,plain,
% 1.24/1.13 ((~![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)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2097,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 1.24/1.13 tff(2098,plain,
% 1.24/1.13 (~m_main_v_state2(s20, c_t2)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2097, 173, 2063])).
% 1.24/1.13 tff(2099,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2100,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2101,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 1.24/1.13 tff(2102,plain,
% 1.24/1.13 (~node12(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2101, 778, 2098])).
% 1.24/1.13 tff(2103,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2104,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2105,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 1.24/1.13 tff(2106,plain,
% 1.24/1.13 (~node11(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2105, 361, 2002])).
% 1.24/1.13 tff(2107,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2108,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2109,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 1.24/1.13 tff(2110,plain,
% 1.24/1.13 (~node10(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2109, 793, 2035])).
% 1.24/1.13 tff(2111,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2112,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2113,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 1.24/1.13 tff(2114,plain,
% 1.24/1.13 (~node9(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2113, 804, 2002])).
% 1.24/1.13 tff(2115,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2116,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2117,plain,
% 1.24/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 1.24/1.13 tff(2118,plain,
% 1.24/1.13 (~node8(s20)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2117, 383, 2067])).
% 1.24/1.13 tff(2119,plain,
% 1.24/1.13 (((~![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))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2120,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2121,plain,
% 1.24/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 1.24/1.13 tff(2122,plain,
% 1.24/1.13 (node14(s20, s21)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2121, 130, 2078])).
% 1.24/1.13 tff(2123,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2124,plain,
% 1.24/1.13 (((~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)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(2125,plain,
% 1.24/1.13 (((~![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))))),
% 1.24/1.13 inference(monotonicity,[status(thm)],[2124])).
% 1.24/1.13 tff(2126,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.13 inference(transitivity,[status(thm)],[2125, 2123])).
% 1.24/1.13 tff(2127,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(2128,plain,
% 1.24/1.13 ((~![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))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 1.24/1.13 tff(2129,plain,
% 1.24/1.13 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2128, 826, 2122])).
% 1.24/1.13 tff(2130,plain,
% 1.24/1.13 (m_main_v_state2(s21, c_n2)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[2129, 2118, 2063, 2114, 2110, 2106, 2102])).
% 1.24/1.13 tff(2131,plain,
% 1.24/1.13 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2132,plain,
% 1.24/1.14 ((~![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)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2133,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 1.24/1.14 tff(2134,plain,
% 1.24/1.14 (~m_main_v_state2(s21, c_t2)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2133, 10, 2130])).
% 1.24/1.14 tff(2135,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2136,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2137,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 1.24/1.14 tff(2138,plain,
% 1.24/1.14 (~node15(s21)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2137, 21, 2134])).
% 1.24/1.14 tff(2139,plain,
% 1.24/1.14 (succ(s21, s22) <=> succ(s21, s22)),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2140,axiom,(succ(s21, s22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound22')).
% 1.24/1.14 tff(2141,plain,
% 1.24/1.14 (succ(s21, s22)),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 1.24/1.14 tff(2142,plain,
% 1.24/1.14 (((~![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))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2143,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2144,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 1.24/1.14 tff(2145,plain,
% 1.24/1.14 (trans(s21, s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2144, 2141, 57])).
% 1.24/1.14 tff(2146,plain,
% 1.24/1.14 (((~![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))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2147,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2148,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 1.24/1.14 tff(2149,plain,
% 1.24/1.14 (node18(s21, s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2148, 71, 2145])).
% 1.24/1.14 tff(2150,plain,
% 1.24/1.14 (((~![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))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2151,plain,
% 1.24/1.14 (((~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))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2152,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(monotonicity,[status(thm)],[2151])).
% 1.24/1.14 tff(2153,plain,
% 1.24/1.14 (((~![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))),
% 1.24/1.14 inference(transitivity,[status(thm)],[2152, 2150])).
% 1.24/1.14 tff(2154,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2155,plain,
% 1.24/1.14 ((~![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)),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 1.24/1.14 tff(2156,plain,
% 1.24/1.14 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2155, 863, 2149])).
% 1.24/1.14 tff(2157,plain,
% 1.24/1.14 (m_main_v_turn(s22, c_1)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2156, 2138, 2130, 2094])).
% 1.24/1.14 tff(2158,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2159,plain,
% 1.24/1.14 ((~![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)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2160,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 1.24/1.14 tff(2161,plain,
% 1.24/1.14 (~m_main_v_turn(s22, c_2)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2160, 322, 2157])).
% 1.24/1.14 tff(2162,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2163,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2164,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 1.24/1.14 tff(2165,plain,
% 1.24/1.14 (~node12(s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2164, 350, 2161])).
% 1.24/1.14 tff(2166,plain,
% 1.24/1.14 (((~![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))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2167,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2168,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 1.24/1.14 tff(2169,plain,
% 1.24/1.14 (node14(s21, s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2168, 130, 2145])).
% 1.24/1.14 tff(2170,plain,
% 1.24/1.14 (((~![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))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2171,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2172,plain,
% 1.24/1.14 ((~![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)),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 1.24/1.14 tff(2173,plain,
% 1.24/1.14 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2172, 893, 2169])).
% 1.24/1.14 tff(2174,plain,
% 1.24/1.14 (m_main_v_state2(s22, c_t2)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2173, 2094, 2130])).
% 1.24/1.14 tff(2175,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2176,plain,
% 1.24/1.14 ((~![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)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2177,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 1.24/1.14 tff(2178,plain,
% 1.24/1.14 (~m_main_v_state2(s22, c_n2)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2177, 10, 2174])).
% 1.24/1.14 tff(2179,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2180,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2181,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 1.24/1.14 tff(2182,plain,
% 1.24/1.14 (~node8(s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2181, 383, 2178])).
% 1.24/1.14 tff(2183,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2184,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2185,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 1.24/1.14 tff(2186,plain,
% 1.24/1.14 (~node9(s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2185, 311, 2178])).
% 1.24/1.14 tff(2187,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2188,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2189,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 1.24/1.14 tff(2190,plain,
% 1.24/1.14 (~node10(s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2189, 372, 2178])).
% 1.24/1.14 tff(2191,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2192,plain,
% 1.24/1.14 ((~![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)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2193,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 1.24/1.14 tff(2194,plain,
% 1.24/1.14 (~m_main_v_state2(s22, c_c2)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2193, 173, 2174])).
% 1.24/1.14 tff(2195,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2196,plain,
% 1.24/1.14 ((~![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)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2197,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 1.24/1.14 tff(2198,plain,
% 1.24/1.14 (~m_main_v_state2(s21, c_c2)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2197, 716, 2130])).
% 1.24/1.14 tff(2199,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2200,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2201,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 1.24/1.14 tff(2202,plain,
% 1.24/1.14 (~node3(s21)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2201, 184, 2198])).
% 1.24/1.14 tff(2203,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2204,plain,
% 1.24/1.14 (((~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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2205,plain,
% 1.24/1.14 (((~![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))))),
% 1.24/1.14 inference(monotonicity,[status(thm)],[2204])).
% 1.24/1.14 tff(2206,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(transitivity,[status(thm)],[2205, 2203])).
% 1.24/1.14 tff(2207,plain,
% 1.24/1.14 ((~![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)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2208,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 1.24/1.14 tff(2209,plain,
% 1.24/1.14 (~m_main_v_state1(s21, c_n1)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2208, 936, 2002, 2087])).
% 1.24/1.14 tff(2210,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2211,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2212,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 1.24/1.14 tff(2213,plain,
% 1.24/1.14 (~node2(s21)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2212, 652, 2209])).
% 1.24/1.14 tff(2214,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2215,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2216,plain,
% 1.24/1.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 1.24/1.14 tff(2217,plain,
% 1.24/1.14 (~node1(s21)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2216, 206, 2134])).
% 1.24/1.14 tff(2218,plain,
% 1.24/1.14 (((~![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))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2219,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2220,plain,
% 1.24/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 1.24/1.14 tff(2221,plain,
% 1.24/1.14 (node7(s21, s22)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2220, 217, 2145])).
% 1.24/1.14 tff(2222,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2223,plain,
% 1.24/1.14 (((~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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2224,plain,
% 1.24/1.14 (((~![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))))),
% 1.24/1.14 inference(monotonicity,[status(thm)],[2223])).
% 1.24/1.14 tff(2225,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(transitivity,[status(thm)],[2224, 2222])).
% 1.24/1.14 tff(2226,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2227,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 1.24/1.14 tff(2228,plain,
% 1.24/1.14 ((~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)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2227, 965, 2221])).
% 1.24/1.14 tff(2229,plain,
% 1.24/1.14 (m_main_v_state1(s22, c_c1)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2228, 2217, 2130, 2094, 2213, 2202])).
% 1.24/1.14 tff(2230,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(2231,plain,
% 1.24/1.14 ((~![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)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(2232,plain,
% 1.24/1.14 ((~![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))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 1.24/1.14 tff(2233,plain,
% 1.24/1.14 (~m_main_v_state1(s22, c_n1)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[2232, 449, 2229])).
% 1.24/1.14 tff(2234,plain,
% 1.24/1.14 (((~![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)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2235,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2236,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 1.24/1.15 tff(2237,plain,
% 1.24/1.15 (~node11(s22)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2236, 361, 2233])).
% 1.24/1.15 tff(2238,plain,
% 1.24/1.15 (succ(s22, s23) <=> succ(s22, s23)),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2239,axiom,(succ(s22, s23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound23')).
% 1.24/1.15 tff(2240,plain,
% 1.24/1.15 (succ(s22, s23)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 1.24/1.15 tff(2241,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2242,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2243,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 1.24/1.15 tff(2244,plain,
% 1.24/1.15 (trans(s22, s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2243, 2240, 57])).
% 1.24/1.15 tff(2245,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2246,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2247,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 1.24/1.15 tff(2248,plain,
% 1.24/1.15 (node14(s22, s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2247, 130, 2244])).
% 1.24/1.15 tff(2249,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2250,plain,
% 1.24/1.15 ((~![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)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2251,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 1.24/1.15 tff(2252,plain,
% 1.24/1.15 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2251, 401, 2248])).
% 1.24/1.15 tff(2253,plain,
% 1.24/1.15 (node13(s22, s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2252, 2237, 2194, 2190, 2186, 2182, 2165])).
% 1.24/1.15 tff(2254,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2255,plain,
% 1.24/1.15 (((~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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2256,plain,
% 1.24/1.15 (((~![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))))),
% 1.24/1.15 inference(monotonicity,[status(thm)],[2255])).
% 1.24/1.15 tff(2257,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(transitivity,[status(thm)],[2256, 2254])).
% 1.24/1.15 tff(2258,plain,
% 1.24/1.15 ((~![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)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2259,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 1.24/1.15 tff(2260,plain,
% 1.24/1.15 (~m_main_v_state2(s23, c_n2)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2259, 416, 2178, 2253])).
% 1.24/1.15 tff(2261,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2262,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2263,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 1.24/1.15 tff(2264,plain,
% 1.24/1.15 (~node9(s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2263, 311, 2260])).
% 1.24/1.15 tff(2265,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2266,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2267,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 1.24/1.15 tff(2268,plain,
% 1.24/1.15 (~node10(s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2267, 372, 2260])).
% 1.24/1.15 tff(2269,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2270,plain,
% 1.24/1.15 (((~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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2271,plain,
% 1.24/1.15 (((~![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))))),
% 1.24/1.15 inference(monotonicity,[status(thm)],[2270])).
% 1.24/1.15 tff(2272,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(transitivity,[status(thm)],[2271, 2269])).
% 1.24/1.15 tff(2273,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2274,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 1.24/1.15 tff(2275,plain,
% 1.24/1.15 (m_main_v_state2(s23, c_t2)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2274, 563, 2174, 2253])).
% 1.24/1.15 tff(2276,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2277,plain,
% 1.24/1.15 ((~![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)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2278,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 1.24/1.15 tff(2279,plain,
% 1.24/1.15 (~m_main_v_state1(s22, c_t1)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2278, 289, 2229])).
% 1.24/1.15 tff(2280,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2281,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2282,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 1.24/1.15 tff(2283,plain,
% 1.24/1.15 (~node5(s22)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2282, 300, 2279])).
% 1.24/1.15 tff(2284,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2285,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2286,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 1.24/1.15 tff(2287,plain,
% 1.24/1.15 (~node4(s22)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2286, 162, 2178])).
% 1.24/1.15 tff(2288,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2289,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2290,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 1.24/1.15 tff(2291,plain,
% 1.24/1.15 (~node3(s22)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2290, 184, 2194])).
% 1.24/1.15 tff(2292,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2293,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2294,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 1.24/1.15 tff(2295,plain,
% 1.24/1.15 (~node2(s22)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2294, 195, 2178])).
% 1.24/1.15 tff(2296,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2297,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2298,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 1.24/1.15 tff(2299,plain,
% 1.24/1.15 (~node1(s22)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2298, 249, 2233])).
% 1.24/1.15 tff(2300,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2301,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2302,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 1.24/1.15 tff(2303,plain,
% 1.24/1.15 (node7(s22, s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2302, 217, 2244])).
% 1.24/1.15 tff(2304,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2305,plain,
% 1.24/1.15 (((~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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2306,plain,
% 1.24/1.15 (((~![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))))),
% 1.24/1.15 inference(monotonicity,[status(thm)],[2305])).
% 1.24/1.15 tff(2307,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(transitivity,[status(thm)],[2306, 2304])).
% 1.24/1.15 tff(2308,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2309,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 1.24/1.15 tff(2310,plain,
% 1.24/1.15 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2309, 478, 2303])).
% 1.24/1.15 tff(2311,plain,
% 1.24/1.15 (m_main_v_state1(s23, c_n1)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2310, 2299, 2229, 2295, 2291, 2287, 2283])).
% 1.24/1.15 tff(2312,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2313,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2314,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 1.24/1.15 tff(2315,plain,
% 1.24/1.15 (~node8(s23)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2314, 383, 2260])).
% 1.24/1.15 tff(2316,plain,
% 1.24/1.15 (succ(s23, s24) <=> succ(s23, s24)),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2317,axiom,(succ(s23, s24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound24')).
% 1.24/1.15 tff(2318,plain,
% 1.24/1.15 (succ(s23, s24)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 1.24/1.15 tff(2319,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2320,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2321,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 1.24/1.15 tff(2322,plain,
% 1.24/1.15 (trans(s23, s24)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2321, 2318, 57])).
% 1.24/1.15 tff(2323,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2324,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2325,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 1.24/1.15 tff(2326,plain,
% 1.24/1.15 (node14(s23, s24)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2325, 130, 2322])).
% 1.24/1.15 tff(2327,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2328,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2329,plain,
% 1.24/1.15 ((~![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)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 1.24/1.15 tff(2330,plain,
% 1.24/1.15 ((~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)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2329, 704, 2326])).
% 1.24/1.15 tff(2331,plain,
% 1.24/1.15 (m_main_v_state2(s24, c_c2)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2330, 2315, 2311, 2275, 2268, 2264])).
% 1.24/1.15 tff(2332,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2333,plain,
% 1.24/1.15 ((~![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)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2334,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2333, 2332])).
% 1.24/1.15 tff(2335,plain,
% 1.24/1.15 (~m_main_v_state2(s24, c_t2)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2334, 173, 2331])).
% 1.24/1.15 tff(2336,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2337,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2338,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 1.24/1.15 tff(2339,plain,
% 1.24/1.15 (~node12(s24)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2338, 778, 2335])).
% 1.24/1.15 tff(2340,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2341,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2342,plain,
% 1.24/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 1.24/1.15 tff(2343,plain,
% 1.24/1.15 (node7(s23, s24)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2342, 217, 2322])).
% 1.24/1.15 tff(2344,plain,
% 1.24/1.15 (((~![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))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2345,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2346,plain,
% 1.24/1.15 ((~![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)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 1.24/1.15 tff(2347,plain,
% 1.24/1.15 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2346, 598, 2343])).
% 1.24/1.15 tff(2348,plain,
% 1.24/1.15 (m_main_v_state1(s24, c_t1)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2347, 2275, 2311])).
% 1.24/1.15 tff(2349,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2350,plain,
% 1.24/1.15 ((~![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)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2351,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 1.24/1.15 tff(2352,plain,
% 1.24/1.15 (~m_main_v_state1(s24, c_n1)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2351, 35, 2348])).
% 1.24/1.15 tff(2353,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2354,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2355,plain,
% 1.24/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 1.24/1.15 tff(2356,plain,
% 1.24/1.15 (~node11(s24)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[2355, 361, 2352])).
% 1.24/1.15 tff(2357,plain,
% 1.24/1.15 (((~![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)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(2358,plain,
% 1.24/1.15 ((~![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)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(2359,plain,
% 1.24/1.15 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 1.24/1.16 tff(2360,plain,
% 1.24/1.16 (~m_main_v_state1(s24, c_c1)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2359, 289, 2348])).
% 1.24/1.16 tff(2361,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2362,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2363,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 1.24/1.16 tff(2364,plain,
% 1.24/1.16 (~node10(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2363, 793, 2360])).
% 1.24/1.16 tff(2365,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2366,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2367,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 1.24/1.16 tff(2368,plain,
% 1.24/1.16 (~node9(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2367, 804, 2352])).
% 1.24/1.16 tff(2369,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2370,plain,
% 1.24/1.16 ((~![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)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2371,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 1.24/1.16 tff(2372,plain,
% 1.24/1.16 (~m_main_v_state2(s24, c_n2)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2371, 716, 2331])).
% 1.24/1.16 tff(2373,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2374,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2375,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 1.24/1.16 tff(2376,plain,
% 1.24/1.16 (~node8(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2375, 383, 2372])).
% 1.24/1.16 tff(2377,plain,
% 1.24/1.16 (succ(s24, s25) <=> succ(s24, s25)),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2378,axiom,(succ(s24, s25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound25')).
% 1.24/1.16 tff(2379,plain,
% 1.24/1.16 (succ(s24, s25)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 1.24/1.16 tff(2380,plain,
% 1.24/1.16 (((~![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))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2381,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2382,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 1.24/1.16 tff(2383,plain,
% 1.24/1.16 (trans(s24, s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2382, 2379, 57])).
% 1.24/1.16 tff(2384,plain,
% 1.24/1.16 (((~![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))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2385,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2386,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 1.24/1.16 tff(2387,plain,
% 1.24/1.16 (node14(s24, s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2386, 130, 2383])).
% 1.24/1.16 tff(2388,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2389,plain,
% 1.24/1.16 (((~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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2390,plain,
% 1.24/1.16 (((~![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))))),
% 1.24/1.16 inference(monotonicity,[status(thm)],[2389])).
% 1.24/1.16 tff(2391,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(transitivity,[status(thm)],[2390, 2388])).
% 1.24/1.16 tff(2392,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2393,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 1.24/1.16 tff(2394,plain,
% 1.24/1.16 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2393, 826, 2387])).
% 1.24/1.16 tff(2395,plain,
% 1.24/1.16 (m_main_v_state2(s25, c_n2)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2394, 2376, 2331, 2368, 2364, 2356, 2339])).
% 1.24/1.16 tff(2396,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2397,plain,
% 1.24/1.16 ((~![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)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2398,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 1.24/1.16 tff(2399,plain,
% 1.24/1.16 (~m_main_v_state2(s25, c_c2)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2398, 716, 2395])).
% 1.24/1.16 tff(2400,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2401,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2402,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 1.24/1.16 tff(2403,plain,
% 1.24/1.16 (~node3(s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2402, 184, 2399])).
% 1.24/1.16 tff(2404,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2405,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2406,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 1.24/1.16 tff(2407,plain,
% 1.24/1.16 (~node1(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2406, 249, 2352])).
% 1.24/1.16 tff(2408,plain,
% 1.24/1.16 (((~![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))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2409,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2410,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 1.24/1.16 tff(2411,plain,
% 1.24/1.16 (node18(s23, s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2410, 71, 2322])).
% 1.24/1.16 tff(2412,plain,
% 1.24/1.16 (((~![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))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2413,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2414,plain,
% 1.24/1.16 ((~![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)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 1.24/1.16 tff(2415,plain,
% 1.24/1.16 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2414, 625, 2411])).
% 1.24/1.16 tff(2416,plain,
% 1.24/1.16 (m_main_v_turn(s24, c_2)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2415, 2275, 2311])).
% 1.24/1.16 tff(2417,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2418,plain,
% 1.24/1.16 ((~![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)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2419,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 1.24/1.16 tff(2420,plain,
% 1.24/1.16 (~m_main_v_turn(s24, c_1)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2419, 322, 2416])).
% 1.24/1.16 tff(2421,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2422,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2423,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 1.24/1.16 tff(2424,plain,
% 1.24/1.16 (~node5(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2423, 641, 2420])).
% 1.24/1.16 tff(2425,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2426,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2427,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 1.24/1.16 tff(2428,plain,
% 1.24/1.16 (~node2(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2427, 652, 2352])).
% 1.24/1.16 tff(2429,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2430,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2431,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 1.24/1.16 tff(2432,plain,
% 1.24/1.16 (~node3(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2431, 663, 2352])).
% 1.24/1.16 tff(2433,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2434,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2435,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 1.24/1.16 tff(2436,plain,
% 1.24/1.16 (~node4(s24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2435, 162, 2372])).
% 1.24/1.16 tff(2437,plain,
% 1.24/1.16 (((~![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))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2438,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2439,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 1.24/1.16 tff(2440,plain,
% 1.24/1.16 (node7(s24, s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2439, 217, 2383])).
% 1.24/1.16 tff(2441,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2442,plain,
% 1.24/1.16 ((~![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)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2443,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 1.24/1.16 tff(2444,plain,
% 1.24/1.16 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2443, 745, 2440])).
% 1.24/1.16 tff(2445,plain,
% 1.24/1.16 (node6(s24, s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2444, 2436, 2360, 2432, 2428, 2424, 2407])).
% 1.24/1.16 tff(2446,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2447,plain,
% 1.24/1.16 (((~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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2448,plain,
% 1.24/1.16 (((~![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))))),
% 1.24/1.16 inference(monotonicity,[status(thm)],[2447])).
% 1.24/1.16 tff(2449,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(transitivity,[status(thm)],[2448, 2446])).
% 1.24/1.16 tff(2450,plain,
% 1.24/1.16 ((~![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)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2451,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 1.24/1.16 tff(2452,plain,
% 1.24/1.16 (~m_main_v_state1(s25, c_n1)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2451, 936, 2352, 2445])).
% 1.24/1.16 tff(2453,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2454,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2455,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 1.24/1.16 tff(2456,plain,
% 1.24/1.16 (~node2(s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2455, 652, 2452])).
% 1.24/1.16 tff(2457,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2458,plain,
% 1.24/1.16 (((~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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2459,plain,
% 1.24/1.16 (((~![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))))),
% 1.24/1.16 inference(monotonicity,[status(thm)],[2458])).
% 1.24/1.16 tff(2460,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(transitivity,[status(thm)],[2459, 2457])).
% 1.24/1.16 tff(2461,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2462,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 1.24/1.16 tff(2463,plain,
% 1.24/1.16 (m_main_v_state1(s25, c_t1)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2462, 760, 2348, 2445])).
% 1.24/1.16 tff(2464,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2465,plain,
% 1.24/1.16 ((~![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)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2466,plain,
% 1.24/1.16 ((~![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))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 1.24/1.16 tff(2467,plain,
% 1.24/1.16 (~m_main_v_state2(s25, c_t2)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2466, 10, 2395])).
% 1.24/1.16 tff(2468,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2469,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2470,plain,
% 1.24/1.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 1.24/1.16 tff(2471,plain,
% 1.24/1.16 (~node1(s25)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2470, 206, 2467])).
% 1.24/1.16 tff(2472,plain,
% 1.24/1.16 (succ(s25, s26) <=> succ(s25, s26)),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2473,axiom,(succ(s25, s26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound26')).
% 1.24/1.16 tff(2474,plain,
% 1.24/1.16 (succ(s25, s26)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 1.24/1.16 tff(2475,plain,
% 1.24/1.16 (((~![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))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2476,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2477,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 1.24/1.16 tff(2478,plain,
% 1.24/1.16 (trans(s25, s26)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2477, 2474, 57])).
% 1.24/1.16 tff(2479,plain,
% 1.24/1.16 (((~![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))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2480,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(2481,plain,
% 1.24/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 1.24/1.16 tff(2482,plain,
% 1.24/1.16 (node7(s25, s26)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[2481, 217, 2478])).
% 1.24/1.16 tff(2483,plain,
% 1.24/1.16 (((~![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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2484,plain,
% 1.24/1.16 (((~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)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(2485,plain,
% 1.24/1.16 (((~![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))))),
% 1.24/1.17 inference(monotonicity,[status(thm)],[2484])).
% 1.24/1.17 tff(2486,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(transitivity,[status(thm)],[2485, 2483])).
% 1.24/1.17 tff(2487,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2488,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 1.24/1.17 tff(2489,plain,
% 1.24/1.17 ((~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)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2488, 965, 2482])).
% 1.24/1.17 tff(2490,plain,
% 1.24/1.17 (m_main_v_state1(s26, c_c1)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2489, 2471, 2395, 2463, 2456, 2403])).
% 1.24/1.17 tff(2491,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2492,plain,
% 1.24/1.17 ((~![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)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2493,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 1.24/1.17 tff(2494,plain,
% 1.24/1.17 (~m_main_v_state1(s26, c_t1)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2493, 289, 2490])).
% 1.24/1.17 tff(2495,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2496,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2497,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 1.24/1.17 tff(2498,plain,
% 1.24/1.17 (~node5(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2497, 300, 2494])).
% 1.24/1.17 tff(2499,plain,
% 1.24/1.17 (((~![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))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2500,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2501,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 1.24/1.17 tff(2502,plain,
% 1.24/1.17 (node14(s25, s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2501, 130, 2478])).
% 1.24/1.17 tff(2503,plain,
% 1.24/1.17 (((~![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))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2504,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2505,plain,
% 1.24/1.17 ((~![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)),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 1.24/1.17 tff(2506,plain,
% 1.24/1.17 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2505, 893, 2502])).
% 1.24/1.17 tff(2507,plain,
% 1.24/1.17 (m_main_v_state2(s26, c_t2)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2506, 2463, 2395])).
% 1.24/1.17 tff(2508,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2509,plain,
% 1.24/1.17 ((~![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)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2510,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2509, 2508])).
% 1.24/1.17 tff(2511,plain,
% 1.24/1.17 (~m_main_v_state2(s26, c_n2)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2510, 10, 2507])).
% 1.24/1.17 tff(2512,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2513,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2514,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 1.24/1.17 tff(2515,plain,
% 1.24/1.17 (~node4(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2514, 162, 2511])).
% 1.24/1.17 tff(2516,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2517,plain,
% 1.24/1.17 ((~![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)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2518,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 1.24/1.17 tff(2519,plain,
% 1.24/1.17 (~m_main_v_state2(s26, c_c2)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2518, 173, 2507])).
% 1.24/1.17 tff(2520,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2521,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2522,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 1.24/1.17 tff(2523,plain,
% 1.24/1.17 (~node3(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2522, 184, 2519])).
% 1.24/1.17 tff(2524,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2525,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2526,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 1.24/1.17 tff(2527,plain,
% 1.24/1.17 (~node2(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2526, 195, 2511])).
% 1.24/1.17 tff(2528,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2529,plain,
% 1.24/1.17 ((~![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)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2530,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 1.24/1.17 tff(2531,plain,
% 1.24/1.17 (~m_main_v_state1(s26, c_n1)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2530, 449, 2490])).
% 1.24/1.17 tff(2532,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2533,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2534,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 1.24/1.17 tff(2535,plain,
% 1.24/1.17 (~node1(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2534, 249, 2531])).
% 1.24/1.17 tff(2536,plain,
% 1.24/1.17 (succ(s26, s27) <=> succ(s26, s27)),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2537,axiom,(succ(s26, s27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound27')).
% 1.24/1.17 tff(2538,plain,
% 1.24/1.17 (succ(s26, s27)),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2537, 2536])).
% 1.24/1.17 tff(2539,plain,
% 1.24/1.17 (((~![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))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2540,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2541,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 1.24/1.17 tff(2542,plain,
% 1.24/1.17 (trans(s26, s27)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2541, 2538, 57])).
% 1.24/1.17 tff(2543,plain,
% 1.24/1.17 (((~![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))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2544,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2545,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 1.24/1.17 tff(2546,plain,
% 1.24/1.17 (node7(s26, s27)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2545, 217, 2542])).
% 1.24/1.17 tff(2547,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2548,plain,
% 1.24/1.17 (((~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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2549,plain,
% 1.24/1.17 (((~![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))))),
% 1.24/1.17 inference(monotonicity,[status(thm)],[2548])).
% 1.24/1.17 tff(2550,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(transitivity,[status(thm)],[2549, 2547])).
% 1.24/1.17 tff(2551,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2552,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 1.24/1.17 tff(2553,plain,
% 1.24/1.17 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2552, 478, 2546])).
% 1.24/1.17 tff(2554,plain,
% 1.24/1.17 (m_main_v_state1(s27, c_n1)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2553, 2535, 2490, 2527, 2523, 2515, 2498])).
% 1.24/1.17 tff(2555,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2556,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2557,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 1.24/1.17 tff(2558,plain,
% 1.24/1.17 (~node15(s25)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2557, 21, 2467])).
% 1.24/1.17 tff(2559,plain,
% 1.24/1.17 (((~![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))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2560,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2561,plain,
% 1.24/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 1.24/1.17 tff(2562,plain,
% 1.24/1.17 (node18(s25, s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2561, 71, 2478])).
% 1.24/1.17 tff(2563,plain,
% 1.24/1.17 (((~![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))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2564,plain,
% 1.24/1.17 (((~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))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2565,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(monotonicity,[status(thm)],[2564])).
% 1.24/1.17 tff(2566,plain,
% 1.24/1.17 (((~![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))),
% 1.24/1.17 inference(transitivity,[status(thm)],[2565, 2563])).
% 1.24/1.17 tff(2567,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2568,plain,
% 1.24/1.17 ((~![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)),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 1.24/1.17 tff(2569,plain,
% 1.24/1.17 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2568, 863, 2562])).
% 1.24/1.17 tff(2570,plain,
% 1.24/1.17 (m_main_v_turn(s26, c_1)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2569, 2558, 2395, 2463])).
% 1.24/1.17 tff(2571,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2572,plain,
% 1.24/1.17 ((~![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)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2573,plain,
% 1.24/1.17 ((~![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))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 1.24/1.17 tff(2574,plain,
% 1.24/1.17 (~m_main_v_turn(s26, c_2)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2573, 322, 2570])).
% 1.24/1.17 tff(2575,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2576,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2577,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 1.24/1.17 tff(2578,plain,
% 1.24/1.17 (~node12(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2577, 350, 2574])).
% 1.24/1.17 tff(2579,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2580,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2581,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 1.24/1.17 tff(2582,plain,
% 1.24/1.17 (~node8(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2581, 383, 2511])).
% 1.24/1.17 tff(2583,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.17 inference(rewrite,[status(thm)],[])).
% 1.24/1.17 tff(2584,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 1.24/1.17 inference(quant_inst,[status(thm)],[])).
% 1.24/1.17 tff(2585,plain,
% 1.24/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 1.24/1.17 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 1.24/1.17 tff(2586,plain,
% 1.24/1.17 (~node9(s26)),
% 1.24/1.17 inference(unit_resolution,[status(thm)],[2585, 311, 2511])).
% 1.24/1.17 tff(2587,plain,
% 1.24/1.17 (((~![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)))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2588,plain,
% 1.24/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2589,plain,
% 1.24/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 1.24/1.18 tff(2590,plain,
% 1.24/1.18 (~node10(s26)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2589, 372, 2511])).
% 1.24/1.18 tff(2591,plain,
% 1.24/1.18 (((~![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)))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2592,plain,
% 1.24/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2593,plain,
% 1.24/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 1.24/1.18 tff(2594,plain,
% 1.24/1.18 (~node11(s26)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2593, 361, 2531])).
% 1.24/1.18 tff(2595,plain,
% 1.24/1.18 (((~![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))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2596,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2597,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 1.24/1.18 tff(2598,plain,
% 1.24/1.18 (node14(s26, s27)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2597, 130, 2542])).
% 1.24/1.18 tff(2599,plain,
% 1.24/1.18 (((~![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)))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2600,plain,
% 1.24/1.18 ((~![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)))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2601,plain,
% 1.24/1.18 ((~![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))),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 1.24/1.18 tff(2602,plain,
% 1.24/1.18 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2601, 401, 2598])).
% 1.24/1.18 tff(2603,plain,
% 1.24/1.18 (node13(s26, s27)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2602, 2594, 2519, 2590, 2586, 2582, 2578])).
% 1.24/1.18 tff(2604,plain,
% 1.24/1.18 (((~![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)))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2605,plain,
% 1.24/1.18 (((~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)))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2606,plain,
% 1.24/1.18 (((~![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))))),
% 1.24/1.18 inference(monotonicity,[status(thm)],[2605])).
% 1.24/1.18 tff(2607,plain,
% 1.24/1.18 (((~![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)))),
% 1.24/1.18 inference(transitivity,[status(thm)],[2606, 2604])).
% 1.24/1.18 tff(2608,plain,
% 1.24/1.18 ((~![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))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2609,plain,
% 1.24/1.18 ((~![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))),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 1.24/1.18 tff(2610,plain,
% 1.24/1.18 (m_main_v_state2(s27, c_t2)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2609, 563, 2507, 2603])).
% 1.24/1.18 tff(2611,plain,
% 1.24/1.18 (succ(s27, s28) <=> succ(s27, s28)),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2612,axiom,(succ(s27, s28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound28')).
% 1.24/1.18 tff(2613,plain,
% 1.24/1.18 (succ(s27, s28)),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 1.24/1.18 tff(2614,plain,
% 1.24/1.18 (((~![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))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2615,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2616,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 1.24/1.18 tff(2617,plain,
% 1.24/1.18 (trans(s27, s28)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2616, 2613, 57])).
% 1.24/1.18 tff(2618,plain,
% 1.24/1.18 (((~![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))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2619,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2620,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 1.24/1.18 tff(2621,plain,
% 1.24/1.18 (node7(s27, s28)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2620, 217, 2617])).
% 1.24/1.18 tff(2622,plain,
% 1.24/1.18 (((~![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))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2623,plain,
% 1.24/1.18 ((~![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))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2624,plain,
% 1.24/1.18 ((~![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)),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 1.24/1.18 tff(2625,plain,
% 1.24/1.18 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2624, 598, 2621])).
% 1.24/1.18 tff(2626,plain,
% 1.24/1.18 (m_main_v_state1(s28, c_t1)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2625, 2610, 2554])).
% 1.24/1.18 tff(2627,plain,
% 1.24/1.18 (((~![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)))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2628,plain,
% 1.24/1.18 ((~![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)))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2629,plain,
% 1.24/1.18 ((~![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))),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 1.24/1.18 tff(2630,plain,
% 1.24/1.18 (~m_main_v_state1(s28, c_n1)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2629, 35, 2626])).
% 1.24/1.18 tff(2631,plain,
% 1.24/1.18 (((~![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)))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2632,plain,
% 1.24/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2633,plain,
% 1.24/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 1.24/1.18 tff(2634,plain,
% 1.24/1.18 (~node1(s28)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2633, 249, 2630])).
% 1.24/1.18 tff(2635,plain,
% 1.24/1.18 (((~![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))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2636,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.24/1.18 tff(2637,plain,
% 1.24/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 1.24/1.18 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 1.24/1.18 tff(2638,plain,
% 1.24/1.18 (node18(s27, s28)),
% 1.24/1.18 inference(unit_resolution,[status(thm)],[2637, 71, 2617])).
% 1.24/1.18 tff(2639,plain,
% 1.24/1.18 (((~![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))),
% 1.24/1.18 inference(rewrite,[status(thm)],[])).
% 1.24/1.18 tff(2640,plain,
% 1.24/1.18 ((~![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))),
% 1.24/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2641,plain,
% 1.35/1.18 ((~![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)),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 1.35/1.18 tff(2642,plain,
% 1.35/1.18 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2641, 625, 2638])).
% 1.35/1.18 tff(2643,plain,
% 1.35/1.18 (m_main_v_turn(s28, c_2)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2642, 2610, 2554])).
% 1.35/1.18 tff(2644,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2645,plain,
% 1.35/1.18 ((~![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)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2646,plain,
% 1.35/1.18 ((~![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))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 1.35/1.18 tff(2647,plain,
% 1.35/1.18 (~m_main_v_turn(s28, c_1)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2646, 322, 2643])).
% 1.35/1.18 tff(2648,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2649,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2650,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 1.35/1.18 tff(2651,plain,
% 1.35/1.18 (~node5(s28)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2650, 641, 2647])).
% 1.35/1.18 tff(2652,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2653,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2654,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 1.35/1.18 tff(2655,plain,
% 1.35/1.18 (~node2(s28)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2654, 652, 2630])).
% 1.35/1.18 tff(2656,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2657,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2658,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 1.35/1.18 tff(2659,plain,
% 1.35/1.18 (~node3(s28)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2658, 663, 2630])).
% 1.35/1.18 tff(2660,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2661,plain,
% 1.35/1.18 ((~![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)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2662,plain,
% 1.35/1.18 ((~![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))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 1.35/1.18 tff(2663,plain,
% 1.35/1.18 (~m_main_v_state1(s28, c_c1)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2662, 289, 2626])).
% 1.35/1.18 tff(2664,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2665,plain,
% 1.35/1.18 (((~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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2666,plain,
% 1.35/1.18 (((~![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))))),
% 1.35/1.18 inference(monotonicity,[status(thm)],[2665])).
% 1.35/1.18 tff(2667,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(transitivity,[status(thm)],[2666, 2664])).
% 1.35/1.18 tff(2668,plain,
% 1.35/1.18 ((~![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)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2669,plain,
% 1.35/1.18 ((~![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))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 1.35/1.18 tff(2670,plain,
% 1.35/1.18 (~m_main_v_state2(s27, c_n2)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2669, 416, 2511, 2603])).
% 1.35/1.18 tff(2671,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2672,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2673,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 1.35/1.18 tff(2674,plain,
% 1.35/1.18 (~node9(s27)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2673, 311, 2670])).
% 1.35/1.18 tff(2675,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2676,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2677,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 1.35/1.18 tff(2678,plain,
% 1.35/1.18 (~node10(s27)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2677, 372, 2670])).
% 1.35/1.18 tff(2679,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2680,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2681,plain,
% 1.35/1.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 1.35/1.18 tff(2682,plain,
% 1.35/1.18 (~node8(s27)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2681, 383, 2670])).
% 1.35/1.18 tff(2683,plain,
% 1.35/1.18 (((~![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))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2684,plain,
% 1.35/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2685,plain,
% 1.35/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 1.35/1.18 tff(2686,plain,
% 1.35/1.18 (node14(s27, s28)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2685, 130, 2617])).
% 1.35/1.18 tff(2687,plain,
% 1.35/1.18 (((~![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))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2688,plain,
% 1.35/1.18 ((~![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))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2689,plain,
% 1.35/1.18 ((~![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)),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 1.35/1.18 tff(2690,plain,
% 1.35/1.18 ((~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)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2689, 704, 2686])).
% 1.35/1.18 tff(2691,plain,
% 1.35/1.18 (m_main_v_state2(s28, c_c2)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2690, 2682, 2554, 2610, 2678, 2674])).
% 1.35/1.18 tff(2692,plain,
% 1.35/1.18 (((~![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)))),
% 1.35/1.18 inference(rewrite,[status(thm)],[])).
% 1.35/1.18 tff(2693,plain,
% 1.35/1.18 ((~![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)))),
% 1.35/1.18 inference(quant_inst,[status(thm)],[])).
% 1.35/1.18 tff(2694,plain,
% 1.35/1.18 ((~![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))),
% 1.35/1.18 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 1.35/1.18 tff(2695,plain,
% 1.35/1.18 (~m_main_v_state2(s28, c_n2)),
% 1.35/1.18 inference(unit_resolution,[status(thm)],[2694, 716, 2691])).
% 1.35/1.19 tff(2696,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2697,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2698,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 1.35/1.19 tff(2699,plain,
% 1.35/1.19 (~node4(s28)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2698, 162, 2695])).
% 1.35/1.19 tff(2700,plain,
% 1.35/1.19 (succ(s28, s29) <=> succ(s28, s29)),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2701,axiom,(succ(s28, s29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound29')).
% 1.35/1.19 tff(2702,plain,
% 1.35/1.19 (succ(s28, s29)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 1.35/1.19 tff(2703,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2704,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2705,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 1.35/1.19 tff(2706,plain,
% 1.35/1.19 (trans(s28, s29)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2705, 2702, 57])).
% 1.35/1.19 tff(2707,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2708,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2709,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 1.35/1.19 tff(2710,plain,
% 1.35/1.19 (node7(s28, s29)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2709, 217, 2706])).
% 1.35/1.19 tff(2711,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2712,plain,
% 1.35/1.19 ((~![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)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2713,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 1.35/1.19 tff(2714,plain,
% 1.35/1.19 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2713, 745, 2710])).
% 1.35/1.19 tff(2715,plain,
% 1.35/1.19 (node6(s28, s29)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2714, 2699, 2663, 2659, 2655, 2651, 2634])).
% 1.35/1.19 tff(2716,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2717,plain,
% 1.35/1.19 (((~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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2718,plain,
% 1.35/1.19 (((~![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))))),
% 1.35/1.19 inference(monotonicity,[status(thm)],[2717])).
% 1.35/1.19 tff(2719,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(transitivity,[status(thm)],[2718, 2716])).
% 1.35/1.19 tff(2720,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2721,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 1.35/1.19 tff(2722,plain,
% 1.35/1.19 (m_main_v_state1(s29, c_t1)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2721, 760, 2626, 2715])).
% 1.35/1.19 tff(2723,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2724,plain,
% 1.35/1.19 ((~![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)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2725,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 1.35/1.19 tff(2726,plain,
% 1.35/1.19 (~m_main_v_state2(s28, c_t2)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2725, 173, 2691])).
% 1.35/1.19 tff(2727,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2728,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2729,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 1.35/1.19 tff(2730,plain,
% 1.35/1.19 (~node12(s28)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2729, 778, 2726])).
% 1.35/1.19 tff(2731,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2732,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2733,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 1.35/1.19 tff(2734,plain,
% 1.35/1.19 (~node11(s28)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2733, 361, 2630])).
% 1.35/1.19 tff(2735,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2736,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2737,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 1.35/1.19 tff(2738,plain,
% 1.35/1.19 (~node10(s28)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2737, 793, 2663])).
% 1.35/1.19 tff(2739,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2740,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2741,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 1.35/1.19 tff(2742,plain,
% 1.35/1.19 (~node9(s28)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2741, 804, 2630])).
% 1.35/1.19 tff(2743,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2744,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2745,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 1.35/1.19 tff(2746,plain,
% 1.35/1.19 (~node8(s28)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2745, 383, 2695])).
% 1.35/1.19 tff(2747,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2748,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2749,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 1.35/1.19 tff(2750,plain,
% 1.35/1.19 (node14(s28, s29)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2749, 130, 2706])).
% 1.35/1.19 tff(2751,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2752,plain,
% 1.35/1.19 (((~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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2753,plain,
% 1.35/1.19 (((~![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))))),
% 1.35/1.19 inference(monotonicity,[status(thm)],[2752])).
% 1.35/1.19 tff(2754,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(transitivity,[status(thm)],[2753, 2751])).
% 1.35/1.19 tff(2755,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2756,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 1.35/1.19 tff(2757,plain,
% 1.35/1.19 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2756, 826, 2750])).
% 1.35/1.19 tff(2758,plain,
% 1.35/1.19 (m_main_v_state2(s29, c_n2)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2757, 2746, 2691, 2742, 2738, 2734, 2730])).
% 1.35/1.19 tff(2759,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2760,plain,
% 1.35/1.19 ((~![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)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2761,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 1.35/1.19 tff(2762,plain,
% 1.35/1.19 (~m_main_v_state2(s29, c_t2)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2761, 10, 2758])).
% 1.35/1.19 tff(2763,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2764,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2765,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 1.35/1.19 tff(2766,plain,
% 1.35/1.19 (~node15(s29)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2765, 21, 2762])).
% 1.35/1.19 tff(2767,plain,
% 1.35/1.19 (succ(s29, s30) <=> succ(s29, s30)),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2768,axiom,(succ(s29, s30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound30')).
% 1.35/1.19 tff(2769,plain,
% 1.35/1.19 (succ(s29, s30)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 1.35/1.19 tff(2770,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2771,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2772,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 1.35/1.19 tff(2773,plain,
% 1.35/1.19 (trans(s29, s30)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2772, 2769, 57])).
% 1.35/1.19 tff(2774,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2775,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2776,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 1.35/1.19 tff(2777,plain,
% 1.35/1.19 (node18(s29, s30)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2776, 71, 2773])).
% 1.35/1.19 tff(2778,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2779,plain,
% 1.35/1.19 (((~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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2780,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(monotonicity,[status(thm)],[2779])).
% 1.35/1.19 tff(2781,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(transitivity,[status(thm)],[2780, 2778])).
% 1.35/1.19 tff(2782,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2783,plain,
% 1.35/1.19 ((~![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)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 1.35/1.19 tff(2784,plain,
% 1.35/1.19 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2783, 863, 2777])).
% 1.35/1.19 tff(2785,plain,
% 1.35/1.19 (m_main_v_turn(s30, c_1)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2784, 2766, 2758, 2722])).
% 1.35/1.19 tff(2786,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2787,plain,
% 1.35/1.19 ((~![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)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2788,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 1.35/1.19 tff(2789,plain,
% 1.35/1.19 (~m_main_v_turn(s30, c_2)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2788, 322, 2785])).
% 1.35/1.19 tff(2790,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2791,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2792,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 1.35/1.19 tff(2793,plain,
% 1.35/1.19 (~node12(s30)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2792, 350, 2789])).
% 1.35/1.19 tff(2794,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2795,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2796,plain,
% 1.35/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 1.35/1.19 tff(2797,plain,
% 1.35/1.19 (node14(s29, s30)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2796, 130, 2773])).
% 1.35/1.19 tff(2798,plain,
% 1.35/1.19 (((~![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))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2799,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2800,plain,
% 1.35/1.19 ((~![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)),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 1.35/1.19 tff(2801,plain,
% 1.35/1.19 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2800, 893, 2797])).
% 1.35/1.19 tff(2802,plain,
% 1.35/1.19 (m_main_v_state2(s30, c_t2)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2801, 2722, 2758])).
% 1.35/1.19 tff(2803,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2804,plain,
% 1.35/1.19 ((~![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)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2805,plain,
% 1.35/1.19 ((~![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))),
% 1.35/1.19 inference(modus_ponens,[status(thm)],[2804, 2803])).
% 1.35/1.19 tff(2806,plain,
% 1.35/1.19 (~m_main_v_state2(s30, c_n2)),
% 1.35/1.19 inference(unit_resolution,[status(thm)],[2805, 10, 2802])).
% 1.35/1.19 tff(2807,plain,
% 1.35/1.19 (((~![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)))),
% 1.35/1.19 inference(rewrite,[status(thm)],[])).
% 1.35/1.19 tff(2808,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 1.35/1.19 inference(quant_inst,[status(thm)],[])).
% 1.35/1.19 tff(2809,plain,
% 1.35/1.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 1.35/1.20 tff(2810,plain,
% 1.35/1.20 (~node8(s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2809, 383, 2806])).
% 1.35/1.20 tff(2811,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2812,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2813,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 1.35/1.20 tff(2814,plain,
% 1.35/1.20 (~node9(s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2813, 311, 2806])).
% 1.35/1.20 tff(2815,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2816,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2817,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 1.35/1.20 tff(2818,plain,
% 1.35/1.20 (~node10(s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2817, 372, 2806])).
% 1.35/1.20 tff(2819,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2820,plain,
% 1.35/1.20 ((~![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)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2821,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 1.35/1.20 tff(2822,plain,
% 1.35/1.20 (~m_main_v_state2(s30, c_c2)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2821, 173, 2802])).
% 1.35/1.20 tff(2823,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2824,plain,
% 1.35/1.20 ((~![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)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2825,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 1.35/1.20 tff(2826,plain,
% 1.35/1.20 (~m_main_v_state2(s29, c_c2)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2825, 716, 2758])).
% 1.35/1.20 tff(2827,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2828,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2829,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 1.35/1.20 tff(2830,plain,
% 1.35/1.20 (~node3(s29)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2829, 184, 2826])).
% 1.35/1.20 tff(2831,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2832,plain,
% 1.35/1.20 (((~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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2833,plain,
% 1.35/1.20 (((~![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))))),
% 1.35/1.20 inference(monotonicity,[status(thm)],[2832])).
% 1.35/1.20 tff(2834,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(transitivity,[status(thm)],[2833, 2831])).
% 1.35/1.20 tff(2835,plain,
% 1.35/1.20 ((~![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)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2836,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 1.35/1.20 tff(2837,plain,
% 1.35/1.20 (~m_main_v_state1(s29, c_n1)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2836, 936, 2630, 2715])).
% 1.35/1.20 tff(2838,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2839,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2840,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 1.35/1.20 tff(2841,plain,
% 1.35/1.20 (~node2(s29)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2840, 652, 2837])).
% 1.35/1.20 tff(2842,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2843,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2844,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 1.35/1.20 tff(2845,plain,
% 1.35/1.20 (~node1(s29)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2844, 206, 2762])).
% 1.35/1.20 tff(2846,plain,
% 1.35/1.20 (((~![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))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2847,plain,
% 1.35/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2848,plain,
% 1.35/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 1.35/1.20 tff(2849,plain,
% 1.35/1.20 (node7(s29, s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2848, 217, 2773])).
% 1.35/1.20 tff(2850,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2851,plain,
% 1.35/1.20 (((~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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2852,plain,
% 1.35/1.20 (((~![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))))),
% 1.35/1.20 inference(monotonicity,[status(thm)],[2851])).
% 1.35/1.20 tff(2853,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(transitivity,[status(thm)],[2852, 2850])).
% 1.35/1.20 tff(2854,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2855,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 1.35/1.20 tff(2856,plain,
% 1.35/1.20 ((~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)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2855, 965, 2849])).
% 1.35/1.20 tff(2857,plain,
% 1.35/1.20 (m_main_v_state1(s30, c_c1)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2856, 2845, 2758, 2722, 2841, 2830])).
% 1.35/1.20 tff(2858,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2859,plain,
% 1.35/1.20 ((~![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)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2860,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2859, 2858])).
% 1.35/1.20 tff(2861,plain,
% 1.35/1.20 (~m_main_v_state1(s30, c_n1)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2860, 449, 2857])).
% 1.35/1.20 tff(2862,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2863,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2864,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 1.35/1.20 tff(2865,plain,
% 1.35/1.20 (~node11(s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2864, 361, 2861])).
% 1.35/1.20 tff(2866,plain,
% 1.35/1.20 (succ(s30, s31) <=> succ(s30, s31)),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2867,axiom,(succ(s30, s31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound31')).
% 1.35/1.20 tff(2868,plain,
% 1.35/1.20 (succ(s30, s31)),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2867, 2866])).
% 1.35/1.20 tff(2869,plain,
% 1.35/1.20 (((~![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))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2870,plain,
% 1.35/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2871,plain,
% 1.35/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 1.35/1.20 tff(2872,plain,
% 1.35/1.20 (trans(s30, s31)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2871, 2868, 57])).
% 1.35/1.20 tff(2873,plain,
% 1.35/1.20 (((~![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))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2874,plain,
% 1.35/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2875,plain,
% 1.35/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 1.35/1.20 tff(2876,plain,
% 1.35/1.20 (node14(s30, s31)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2875, 130, 2872])).
% 1.35/1.20 tff(2877,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2878,plain,
% 1.35/1.20 ((~![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)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2879,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 1.35/1.20 tff(2880,plain,
% 1.35/1.20 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2879, 401, 2876])).
% 1.35/1.20 tff(2881,plain,
% 1.35/1.20 (node13(s30, s31)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2880, 2865, 2822, 2818, 2814, 2810, 2793])).
% 1.35/1.20 tff(2882,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2883,plain,
% 1.35/1.20 (((~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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2884,plain,
% 1.35/1.20 (((~![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))))),
% 1.35/1.20 inference(monotonicity,[status(thm)],[2883])).
% 1.35/1.20 tff(2885,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(transitivity,[status(thm)],[2884, 2882])).
% 1.35/1.20 tff(2886,plain,
% 1.35/1.20 ((~![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)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2887,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 1.35/1.20 tff(2888,plain,
% 1.35/1.20 (~m_main_v_state2(s31, c_n2)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2887, 416, 2806, 2881])).
% 1.35/1.20 tff(2889,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2890,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2891,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 1.35/1.20 tff(2892,plain,
% 1.35/1.20 (~node9(s31)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2891, 311, 2888])).
% 1.35/1.20 tff(2893,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2894,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2895,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 1.35/1.20 tff(2896,plain,
% 1.35/1.20 (~node10(s31)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2895, 372, 2888])).
% 1.35/1.20 tff(2897,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2898,plain,
% 1.35/1.20 (((~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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2899,plain,
% 1.35/1.20 (((~![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))))),
% 1.35/1.20 inference(monotonicity,[status(thm)],[2898])).
% 1.35/1.20 tff(2900,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(transitivity,[status(thm)],[2899, 2897])).
% 1.35/1.20 tff(2901,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2902,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 1.35/1.20 tff(2903,plain,
% 1.35/1.20 (m_main_v_state2(s31, c_t2)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2902, 563, 2802, 2881])).
% 1.35/1.20 tff(2904,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2905,plain,
% 1.35/1.20 ((~![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)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2906,plain,
% 1.35/1.20 ((~![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))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 1.35/1.20 tff(2907,plain,
% 1.35/1.20 (~m_main_v_state1(s30, c_t1)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2906, 289, 2857])).
% 1.35/1.20 tff(2908,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2909,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2910,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 1.35/1.20 tff(2911,plain,
% 1.35/1.20 (~node5(s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2910, 300, 2907])).
% 1.35/1.20 tff(2912,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2913,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2914,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 1.35/1.20 tff(2915,plain,
% 1.35/1.20 (~node4(s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2914, 162, 2806])).
% 1.35/1.20 tff(2916,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2917,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2918,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 1.35/1.20 tff(2919,plain,
% 1.35/1.20 (~node3(s30)),
% 1.35/1.20 inference(unit_resolution,[status(thm)],[2918, 184, 2822])).
% 1.35/1.20 tff(2920,plain,
% 1.35/1.20 (((~![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)))),
% 1.35/1.20 inference(rewrite,[status(thm)],[])).
% 1.35/1.20 tff(2921,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 1.35/1.20 inference(quant_inst,[status(thm)],[])).
% 1.35/1.20 tff(2922,plain,
% 1.35/1.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 1.35/1.20 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 1.35/1.21 tff(2923,plain,
% 1.35/1.21 (~node2(s30)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2922, 195, 2806])).
% 1.35/1.21 tff(2924,plain,
% 1.35/1.21 (((~![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)))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2925,plain,
% 1.35/1.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2926,plain,
% 1.35/1.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 1.35/1.21 tff(2927,plain,
% 1.35/1.21 (~node1(s30)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2926, 249, 2861])).
% 1.35/1.21 tff(2928,plain,
% 1.35/1.21 (((~![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))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2929,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2930,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 1.35/1.21 tff(2931,plain,
% 1.35/1.21 (node7(s30, s31)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2930, 217, 2872])).
% 1.35/1.21 tff(2932,plain,
% 1.35/1.21 (((~![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)))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2933,plain,
% 1.35/1.21 (((~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)))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2934,plain,
% 1.35/1.21 (((~![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))))),
% 1.35/1.21 inference(monotonicity,[status(thm)],[2933])).
% 1.35/1.21 tff(2935,plain,
% 1.35/1.21 (((~![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)))),
% 1.35/1.21 inference(transitivity,[status(thm)],[2934, 2932])).
% 1.35/1.21 tff(2936,plain,
% 1.35/1.21 ((~![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))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2937,plain,
% 1.35/1.21 ((~![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))),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 1.35/1.21 tff(2938,plain,
% 1.35/1.21 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2937, 478, 2931])).
% 1.35/1.21 tff(2939,plain,
% 1.35/1.21 (m_main_v_state1(s31, c_n1)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2938, 2927, 2857, 2923, 2919, 2915, 2911])).
% 1.35/1.21 tff(2940,plain,
% 1.35/1.21 (((~![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)))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2941,plain,
% 1.35/1.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2942,plain,
% 1.35/1.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 1.35/1.21 tff(2943,plain,
% 1.35/1.21 (~node8(s31)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2942, 383, 2888])).
% 1.35/1.21 tff(2944,plain,
% 1.35/1.21 (succ(s31, s32) <=> succ(s31, s32)),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2945,axiom,(succ(s31, s32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound32')).
% 1.35/1.21 tff(2946,plain,
% 1.35/1.21 (succ(s31, s32)),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 1.35/1.21 tff(2947,plain,
% 1.35/1.21 (((~![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))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2948,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2949,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 1.35/1.21 tff(2950,plain,
% 1.35/1.21 (trans(s31, s32)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2949, 2946, 57])).
% 1.35/1.21 tff(2951,plain,
% 1.35/1.21 (((~![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))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2952,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2953,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 1.35/1.21 tff(2954,plain,
% 1.35/1.21 (node14(s31, s32)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2953, 130, 2950])).
% 1.35/1.21 tff(2955,plain,
% 1.35/1.21 (((~![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))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2956,plain,
% 1.35/1.21 ((~![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))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2957,plain,
% 1.35/1.21 ((~![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)),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 1.35/1.21 tff(2958,plain,
% 1.35/1.21 ((~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)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2957, 704, 2954])).
% 1.35/1.21 tff(2959,plain,
% 1.35/1.21 (m_main_v_state2(s32, c_c2)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2958, 2943, 2939, 2903, 2896, 2892])).
% 1.35/1.21 tff(2960,plain,
% 1.35/1.21 (((~![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)))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2961,plain,
% 1.35/1.21 ((~![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)))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2962,plain,
% 1.35/1.21 ((~![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))),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 1.35/1.21 tff(2963,plain,
% 1.35/1.21 (~m_main_v_state2(s32, c_t2)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2962, 173, 2959])).
% 1.35/1.21 tff(2964,plain,
% 1.35/1.21 (((~![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)))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2965,plain,
% 1.35/1.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2966,plain,
% 1.35/1.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 1.35/1.21 tff(2967,plain,
% 1.35/1.21 (~node12(s32)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2966, 778, 2963])).
% 1.35/1.21 tff(2968,plain,
% 1.35/1.21 (((~![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))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2969,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 1.35/1.21 inference(quant_inst,[status(thm)],[])).
% 1.35/1.21 tff(2970,plain,
% 1.35/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 1.35/1.21 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 1.35/1.21 tff(2971,plain,
% 1.35/1.21 (node7(s31, s32)),
% 1.35/1.21 inference(unit_resolution,[status(thm)],[2970, 217, 2950])).
% 1.35/1.21 tff(2972,plain,
% 1.35/1.21 (((~![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))),
% 1.35/1.21 inference(rewrite,[status(thm)],[])).
% 1.35/1.21 tff(2973,plain,
% 1.35/1.21 ((~![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))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(2974,plain,
% 1.38/1.21 ((~![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)),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 1.38/1.21 tff(2975,plain,
% 1.38/1.21 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2974, 598, 2971])).
% 1.38/1.21 tff(2976,plain,
% 1.38/1.21 (m_main_v_state1(s32, c_t1)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2975, 2903, 2939])).
% 1.38/1.21 tff(2977,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(2978,plain,
% 1.38/1.21 ((~![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)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(2979,plain,
% 1.38/1.21 ((~![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))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 1.38/1.21 tff(2980,plain,
% 1.38/1.21 (~m_main_v_state1(s32, c_n1)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2979, 35, 2976])).
% 1.38/1.21 tff(2981,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(2982,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(2983,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 1.38/1.21 tff(2984,plain,
% 1.38/1.21 (~node11(s32)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2983, 361, 2980])).
% 1.38/1.21 tff(2985,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(2986,plain,
% 1.38/1.21 ((~![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)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(2987,plain,
% 1.38/1.21 ((~![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))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 1.38/1.21 tff(2988,plain,
% 1.38/1.21 (~m_main_v_state1(s32, c_c1)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2987, 289, 2976])).
% 1.38/1.21 tff(2989,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(2990,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(2991,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 1.38/1.21 tff(2992,plain,
% 1.38/1.21 (~node10(s32)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2991, 793, 2988])).
% 1.38/1.21 tff(2993,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(2994,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(2995,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 1.38/1.21 tff(2996,plain,
% 1.38/1.21 (~node9(s32)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2995, 804, 2980])).
% 1.38/1.21 tff(2997,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(2998,plain,
% 1.38/1.21 ((~![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)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(2999,plain,
% 1.38/1.21 ((~![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))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 1.38/1.21 tff(3000,plain,
% 1.38/1.21 (~m_main_v_state2(s32, c_n2)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[2999, 716, 2959])).
% 1.38/1.21 tff(3001,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(3002,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(3003,plain,
% 1.38/1.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 1.38/1.21 tff(3004,plain,
% 1.38/1.21 (~node8(s32)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[3003, 383, 3000])).
% 1.38/1.21 tff(3005,plain,
% 1.38/1.21 (succ(s32, s33) <=> succ(s32, s33)),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(3006,axiom,(succ(s32, s33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound33')).
% 1.38/1.21 tff(3007,plain,
% 1.38/1.21 (succ(s32, s33)),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 1.38/1.21 tff(3008,plain,
% 1.38/1.21 (((~![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))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(3009,plain,
% 1.38/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(3010,plain,
% 1.38/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 1.38/1.21 tff(3011,plain,
% 1.38/1.21 (trans(s32, s33)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[3010, 3007, 57])).
% 1.38/1.21 tff(3012,plain,
% 1.38/1.21 (((~![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))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(3013,plain,
% 1.38/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(3014,plain,
% 1.38/1.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 1.38/1.21 tff(3015,plain,
% 1.38/1.21 (node14(s32, s33)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[3014, 130, 3011])).
% 1.38/1.21 tff(3016,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(3017,plain,
% 1.38/1.21 (((~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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(3018,plain,
% 1.38/1.21 (((~![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))))),
% 1.38/1.21 inference(monotonicity,[status(thm)],[3017])).
% 1.38/1.21 tff(3019,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(transitivity,[status(thm)],[3018, 3016])).
% 1.38/1.21 tff(3020,plain,
% 1.38/1.21 ((~![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))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(3021,plain,
% 1.38/1.21 ((~![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))),
% 1.38/1.21 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 1.38/1.21 tff(3022,plain,
% 1.38/1.21 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[3021, 826, 3015])).
% 1.38/1.21 tff(3023,plain,
% 1.38/1.21 (m_main_v_state2(s33, c_n2)),
% 1.38/1.21 inference(unit_resolution,[status(thm)],[3022, 3004, 2959, 2996, 2992, 2984, 2967])).
% 1.38/1.21 tff(3024,plain,
% 1.38/1.21 (((~![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)))),
% 1.38/1.21 inference(rewrite,[status(thm)],[])).
% 1.38/1.21 tff(3025,plain,
% 1.38/1.21 ((~![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)))),
% 1.38/1.21 inference(quant_inst,[status(thm)],[])).
% 1.38/1.21 tff(3026,plain,
% 1.38/1.21 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 1.38/1.22 tff(3027,plain,
% 1.38/1.22 (~m_main_v_state2(s33, c_c2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3026, 716, 3023])).
% 1.38/1.22 tff(3028,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3029,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3030,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 1.38/1.22 tff(3031,plain,
% 1.38/1.22 (~node3(s33)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3030, 184, 3027])).
% 1.38/1.22 tff(3032,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3033,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3034,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 1.38/1.22 tff(3035,plain,
% 1.38/1.22 (~node1(s32)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3034, 249, 2980])).
% 1.38/1.22 tff(3036,plain,
% 1.38/1.22 (((~![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))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3037,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3038,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 1.38/1.22 tff(3039,plain,
% 1.38/1.22 (node18(s31, s32)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3038, 71, 2950])).
% 1.38/1.22 tff(3040,plain,
% 1.38/1.22 (((~![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))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3041,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3042,plain,
% 1.38/1.22 ((~![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)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 1.38/1.22 tff(3043,plain,
% 1.38/1.22 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3042, 625, 3039])).
% 1.38/1.22 tff(3044,plain,
% 1.38/1.22 (m_main_v_turn(s32, c_2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3043, 2903, 2939])).
% 1.38/1.22 tff(3045,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3046,plain,
% 1.38/1.22 ((~![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)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3047,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 1.38/1.22 tff(3048,plain,
% 1.38/1.22 (~m_main_v_turn(s32, c_1)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3047, 322, 3044])).
% 1.38/1.22 tff(3049,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3050,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3051,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 1.38/1.22 tff(3052,plain,
% 1.38/1.22 (~node5(s32)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3051, 641, 3048])).
% 1.38/1.22 tff(3053,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3054,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3055,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 1.38/1.22 tff(3056,plain,
% 1.38/1.22 (~node2(s32)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3055, 652, 2980])).
% 1.38/1.22 tff(3057,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3058,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3059,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 1.38/1.22 tff(3060,plain,
% 1.38/1.22 (~node3(s32)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3059, 663, 2980])).
% 1.38/1.22 tff(3061,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3062,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3063,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 1.38/1.22 tff(3064,plain,
% 1.38/1.22 (~node4(s32)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3063, 162, 3000])).
% 1.38/1.22 tff(3065,plain,
% 1.38/1.22 (((~![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))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3066,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3067,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3066, 3065])).
% 1.38/1.22 tff(3068,plain,
% 1.38/1.22 (node7(s32, s33)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3067, 217, 3011])).
% 1.38/1.22 tff(3069,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3070,plain,
% 1.38/1.22 ((~![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)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3071,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 1.38/1.22 tff(3072,plain,
% 1.38/1.22 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3071, 745, 3068])).
% 1.38/1.22 tff(3073,plain,
% 1.38/1.22 (node6(s32, s33)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3072, 3064, 2988, 3060, 3056, 3052, 3035])).
% 1.38/1.22 tff(3074,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3075,plain,
% 1.38/1.22 (((~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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3076,plain,
% 1.38/1.22 (((~![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))))),
% 1.38/1.22 inference(monotonicity,[status(thm)],[3075])).
% 1.38/1.22 tff(3077,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(transitivity,[status(thm)],[3076, 3074])).
% 1.38/1.22 tff(3078,plain,
% 1.38/1.22 ((~![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)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3079,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 1.38/1.22 tff(3080,plain,
% 1.38/1.22 (~m_main_v_state1(s33, c_n1)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3079, 936, 2980, 3073])).
% 1.38/1.22 tff(3081,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3082,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3083,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 1.38/1.22 tff(3084,plain,
% 1.38/1.22 (~node2(s33)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3083, 652, 3080])).
% 1.38/1.22 tff(3085,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3086,plain,
% 1.38/1.22 (((~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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3087,plain,
% 1.38/1.22 (((~![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))))),
% 1.38/1.22 inference(monotonicity,[status(thm)],[3086])).
% 1.38/1.22 tff(3088,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(transitivity,[status(thm)],[3087, 3085])).
% 1.38/1.22 tff(3089,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3090,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 1.38/1.22 tff(3091,plain,
% 1.38/1.22 (m_main_v_state1(s33, c_t1)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3090, 760, 2976, 3073])).
% 1.38/1.22 tff(3092,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3093,plain,
% 1.38/1.22 ((~![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)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3094,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 1.38/1.22 tff(3095,plain,
% 1.38/1.22 (~m_main_v_state2(s33, c_t2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3094, 10, 3023])).
% 1.38/1.22 tff(3096,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3097,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3098,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 1.38/1.22 tff(3099,plain,
% 1.38/1.22 (~node1(s33)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3098, 206, 3095])).
% 1.38/1.22 tff(3100,plain,
% 1.38/1.22 (succ(s33, s34) <=> succ(s33, s34)),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3101,axiom,(succ(s33, s34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound34')).
% 1.38/1.22 tff(3102,plain,
% 1.38/1.22 (succ(s33, s34)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 1.38/1.22 tff(3103,plain,
% 1.38/1.22 (((~![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))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3104,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3105,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 1.38/1.22 tff(3106,plain,
% 1.38/1.22 (trans(s33, s34)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3105, 3102, 57])).
% 1.38/1.22 tff(3107,plain,
% 1.38/1.22 (((~![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))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3108,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3109,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 1.38/1.22 tff(3110,plain,
% 1.38/1.22 (node7(s33, s34)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3109, 217, 3106])).
% 1.38/1.22 tff(3111,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3112,plain,
% 1.38/1.22 (((~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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3113,plain,
% 1.38/1.22 (((~![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))))),
% 1.38/1.22 inference(monotonicity,[status(thm)],[3112])).
% 1.38/1.22 tff(3114,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(transitivity,[status(thm)],[3113, 3111])).
% 1.38/1.22 tff(3115,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3116,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 1.38/1.22 tff(3117,plain,
% 1.38/1.22 ((~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)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3116, 965, 3110])).
% 1.38/1.22 tff(3118,plain,
% 1.38/1.22 (m_main_v_state1(s34, c_c1)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3117, 3099, 3023, 3091, 3084, 3031])).
% 1.38/1.22 tff(3119,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3120,plain,
% 1.38/1.22 ((~![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)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3121,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 1.38/1.22 tff(3122,plain,
% 1.38/1.22 (~m_main_v_state1(s34, c_t1)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3121, 289, 3118])).
% 1.38/1.22 tff(3123,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3124,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3125,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 1.38/1.22 tff(3126,plain,
% 1.38/1.22 (~node5(s34)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3125, 300, 3122])).
% 1.38/1.22 tff(3127,plain,
% 1.38/1.22 (((~![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))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3128,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3129,plain,
% 1.38/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 1.38/1.22 tff(3130,plain,
% 1.38/1.22 (node14(s33, s34)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3129, 130, 3106])).
% 1.38/1.22 tff(3131,plain,
% 1.38/1.22 (((~![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))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3132,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3133,plain,
% 1.38/1.22 ((~![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)),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 1.38/1.22 tff(3134,plain,
% 1.38/1.22 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3133, 893, 3130])).
% 1.38/1.22 tff(3135,plain,
% 1.38/1.22 (m_main_v_state2(s34, c_t2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3134, 3091, 3023])).
% 1.38/1.22 tff(3136,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3137,plain,
% 1.38/1.22 ((~![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)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3138,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 1.38/1.22 tff(3139,plain,
% 1.38/1.22 (~m_main_v_state2(s34, c_n2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3138, 10, 3135])).
% 1.38/1.22 tff(3140,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3141,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3142,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 1.38/1.22 tff(3143,plain,
% 1.38/1.22 (~node4(s34)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3142, 162, 3139])).
% 1.38/1.22 tff(3144,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3145,plain,
% 1.38/1.22 ((~![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)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3146,plain,
% 1.38/1.22 ((~![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))),
% 1.38/1.22 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 1.38/1.22 tff(3147,plain,
% 1.38/1.22 (~m_main_v_state2(s34, c_c2)),
% 1.38/1.22 inference(unit_resolution,[status(thm)],[3146, 173, 3135])).
% 1.38/1.22 tff(3148,plain,
% 1.38/1.22 (((~![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)))),
% 1.38/1.22 inference(rewrite,[status(thm)],[])).
% 1.38/1.22 tff(3149,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 1.38/1.22 inference(quant_inst,[status(thm)],[])).
% 1.38/1.22 tff(3150,plain,
% 1.38/1.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 1.38/1.23 tff(3151,plain,
% 1.38/1.23 (~node3(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3150, 184, 3147])).
% 1.38/1.23 tff(3152,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3153,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3154,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 1.38/1.23 tff(3155,plain,
% 1.38/1.23 (~node2(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3154, 195, 3139])).
% 1.38/1.23 tff(3156,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3157,plain,
% 1.38/1.23 ((~![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)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3158,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 1.38/1.23 tff(3159,plain,
% 1.38/1.23 (~m_main_v_state1(s34, c_n1)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3158, 449, 3118])).
% 1.38/1.23 tff(3160,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3161,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3162,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 1.38/1.23 tff(3163,plain,
% 1.38/1.23 (~node1(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3162, 249, 3159])).
% 1.38/1.23 tff(3164,plain,
% 1.38/1.23 (succ(s34, s35) <=> succ(s34, s35)),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3165,axiom,(succ(s34, s35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound35')).
% 1.38/1.23 tff(3166,plain,
% 1.38/1.23 (succ(s34, s35)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 1.38/1.23 tff(3167,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3168,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3169,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 1.38/1.23 tff(3170,plain,
% 1.38/1.23 (trans(s34, s35)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3169, 3166, 57])).
% 1.38/1.23 tff(3171,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3172,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3173,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 1.38/1.23 tff(3174,plain,
% 1.38/1.23 (node7(s34, s35)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3173, 217, 3170])).
% 1.38/1.23 tff(3175,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3176,plain,
% 1.38/1.23 (((~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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3177,plain,
% 1.38/1.23 (((~![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))))),
% 1.38/1.23 inference(monotonicity,[status(thm)],[3176])).
% 1.38/1.23 tff(3178,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(transitivity,[status(thm)],[3177, 3175])).
% 1.38/1.23 tff(3179,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3180,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 1.38/1.23 tff(3181,plain,
% 1.38/1.23 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3180, 478, 3174])).
% 1.38/1.23 tff(3182,plain,
% 1.38/1.23 (m_main_v_state1(s35, c_n1)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3181, 3163, 3118, 3155, 3151, 3143, 3126])).
% 1.38/1.23 tff(3183,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3184,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3185,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 1.38/1.23 tff(3186,plain,
% 1.38/1.23 (~node15(s33)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3185, 21, 3095])).
% 1.38/1.23 tff(3187,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3188,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3189,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 1.38/1.23 tff(3190,plain,
% 1.38/1.23 (node18(s33, s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3189, 71, 3106])).
% 1.38/1.23 tff(3191,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3192,plain,
% 1.38/1.23 (((~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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3193,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(monotonicity,[status(thm)],[3192])).
% 1.38/1.23 tff(3194,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(transitivity,[status(thm)],[3193, 3191])).
% 1.38/1.23 tff(3195,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3196,plain,
% 1.38/1.23 ((~![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)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 1.38/1.23 tff(3197,plain,
% 1.38/1.23 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3196, 863, 3190])).
% 1.38/1.23 tff(3198,plain,
% 1.38/1.23 (m_main_v_turn(s34, c_1)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3197, 3186, 3023, 3091])).
% 1.38/1.23 tff(3199,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3200,plain,
% 1.38/1.23 ((~![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)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3201,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 1.38/1.23 tff(3202,plain,
% 1.38/1.23 (~m_main_v_turn(s34, c_2)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3201, 322, 3198])).
% 1.38/1.23 tff(3203,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3204,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3205,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 1.38/1.23 tff(3206,plain,
% 1.38/1.23 (~node12(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3205, 350, 3202])).
% 1.38/1.23 tff(3207,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3208,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3209,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 1.38/1.23 tff(3210,plain,
% 1.38/1.23 (~node8(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3209, 383, 3139])).
% 1.38/1.23 tff(3211,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3212,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3213,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 1.38/1.23 tff(3214,plain,
% 1.38/1.23 (~node9(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3213, 311, 3139])).
% 1.38/1.23 tff(3215,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3216,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3217,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 1.38/1.23 tff(3218,plain,
% 1.38/1.23 (~node10(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3217, 372, 3139])).
% 1.38/1.23 tff(3219,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3220,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3221,plain,
% 1.38/1.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3220, 3219])).
% 1.38/1.23 tff(3222,plain,
% 1.38/1.23 (~node11(s34)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3221, 361, 3159])).
% 1.38/1.23 tff(3223,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3224,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3225,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3224, 3223])).
% 1.38/1.23 tff(3226,plain,
% 1.38/1.23 (node14(s34, s35)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3225, 130, 3170])).
% 1.38/1.23 tff(3227,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3228,plain,
% 1.38/1.23 ((~![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)))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3229,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 1.38/1.23 tff(3230,plain,
% 1.38/1.23 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3229, 401, 3226])).
% 1.38/1.23 tff(3231,plain,
% 1.38/1.23 (node13(s34, s35)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3230, 3222, 3147, 3218, 3214, 3210, 3206])).
% 1.38/1.23 tff(3232,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3233,plain,
% 1.38/1.23 (((~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)))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3234,plain,
% 1.38/1.23 (((~![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))))),
% 1.38/1.23 inference(monotonicity,[status(thm)],[3233])).
% 1.38/1.23 tff(3235,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.23 inference(transitivity,[status(thm)],[3234, 3232])).
% 1.38/1.23 tff(3236,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3237,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 1.38/1.23 tff(3238,plain,
% 1.38/1.23 (m_main_v_state2(s35, c_t2)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3237, 563, 3135, 3231])).
% 1.38/1.23 tff(3239,plain,
% 1.38/1.23 (succ(s35, s36) <=> succ(s35, s36)),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3240,axiom,(succ(s35, s36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound36')).
% 1.38/1.23 tff(3241,plain,
% 1.38/1.23 (succ(s35, s36)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 1.38/1.23 tff(3242,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3243,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3244,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 1.38/1.23 tff(3245,plain,
% 1.38/1.23 (trans(s35, s36)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3244, 3241, 57])).
% 1.38/1.23 tff(3246,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3247,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3248,plain,
% 1.38/1.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 1.38/1.23 tff(3249,plain,
% 1.38/1.23 (node7(s35, s36)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3248, 217, 3245])).
% 1.38/1.23 tff(3250,plain,
% 1.38/1.23 (((~![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))),
% 1.38/1.23 inference(rewrite,[status(thm)],[])).
% 1.38/1.23 tff(3251,plain,
% 1.38/1.23 ((~![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))),
% 1.38/1.23 inference(quant_inst,[status(thm)],[])).
% 1.38/1.23 tff(3252,plain,
% 1.38/1.23 ((~![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)),
% 1.38/1.23 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 1.38/1.23 tff(3253,plain,
% 1.38/1.23 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3252, 598, 3249])).
% 1.38/1.23 tff(3254,plain,
% 1.38/1.23 (m_main_v_state1(s36, c_t1)),
% 1.38/1.23 inference(unit_resolution,[status(thm)],[3253, 3238, 3182])).
% 1.38/1.23 tff(3255,plain,
% 1.38/1.23 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3256,plain,
% 1.38/1.24 ((~![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)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3257,plain,
% 1.38/1.24 ((~![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))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 1.38/1.24 tff(3258,plain,
% 1.38/1.24 (~m_main_v_state1(s36, c_n1)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3257, 35, 3254])).
% 1.38/1.24 tff(3259,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3260,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3261,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 1.38/1.24 tff(3262,plain,
% 1.38/1.24 (~node1(s36)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3261, 249, 3258])).
% 1.38/1.24 tff(3263,plain,
% 1.38/1.24 (((~![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))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3264,plain,
% 1.38/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3265,plain,
% 1.38/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 1.38/1.24 tff(3266,plain,
% 1.38/1.24 (node18(s35, s36)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3265, 71, 3245])).
% 1.38/1.24 tff(3267,plain,
% 1.38/1.24 (((~![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))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3268,plain,
% 1.38/1.24 ((~![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))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3269,plain,
% 1.38/1.24 ((~![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)),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 1.38/1.24 tff(3270,plain,
% 1.38/1.24 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3269, 625, 3266])).
% 1.38/1.24 tff(3271,plain,
% 1.38/1.24 (m_main_v_turn(s36, c_2)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3270, 3238, 3182])).
% 1.38/1.24 tff(3272,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3273,plain,
% 1.38/1.24 ((~![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)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3274,plain,
% 1.38/1.24 ((~![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))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 1.38/1.24 tff(3275,plain,
% 1.38/1.24 (~m_main_v_turn(s36, c_1)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3274, 322, 3271])).
% 1.38/1.24 tff(3276,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3277,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3278,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 1.38/1.24 tff(3279,plain,
% 1.38/1.24 (~node5(s36)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3278, 641, 3275])).
% 1.38/1.24 tff(3280,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3281,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3282,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 1.38/1.24 tff(3283,plain,
% 1.38/1.24 (~node2(s36)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3282, 652, 3258])).
% 1.38/1.24 tff(3284,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3285,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3286,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 1.38/1.24 tff(3287,plain,
% 1.38/1.24 (~node3(s36)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3286, 663, 3258])).
% 1.38/1.24 tff(3288,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3289,plain,
% 1.38/1.24 ((~![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)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3290,plain,
% 1.38/1.24 ((~![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))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 1.38/1.24 tff(3291,plain,
% 1.38/1.24 (~m_main_v_state1(s36, c_c1)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3290, 289, 3254])).
% 1.38/1.24 tff(3292,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3293,plain,
% 1.38/1.24 (((~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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3294,plain,
% 1.38/1.24 (((~![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))))),
% 1.38/1.24 inference(monotonicity,[status(thm)],[3293])).
% 1.38/1.24 tff(3295,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(transitivity,[status(thm)],[3294, 3292])).
% 1.38/1.24 tff(3296,plain,
% 1.38/1.24 ((~![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)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3297,plain,
% 1.38/1.24 ((~![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))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 1.38/1.24 tff(3298,plain,
% 1.38/1.24 (~m_main_v_state2(s35, c_n2)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3297, 416, 3139, 3231])).
% 1.38/1.24 tff(3299,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3300,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3301,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 1.38/1.24 tff(3302,plain,
% 1.38/1.24 (~node9(s35)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3301, 311, 3298])).
% 1.38/1.24 tff(3303,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3304,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3305,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 1.38/1.24 tff(3306,plain,
% 1.38/1.24 (~node10(s35)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3305, 372, 3298])).
% 1.38/1.24 tff(3307,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3308,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3309,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 1.38/1.24 tff(3310,plain,
% 1.38/1.24 (~node8(s35)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3309, 383, 3298])).
% 1.38/1.24 tff(3311,plain,
% 1.38/1.24 (((~![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))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3312,plain,
% 1.38/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3313,plain,
% 1.38/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 1.38/1.24 tff(3314,plain,
% 1.38/1.24 (node14(s35, s36)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3313, 130, 3245])).
% 1.38/1.24 tff(3315,plain,
% 1.38/1.24 (((~![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))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3316,plain,
% 1.38/1.24 ((~![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))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3317,plain,
% 1.38/1.24 ((~![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)),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 1.38/1.24 tff(3318,plain,
% 1.38/1.24 ((~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)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3317, 704, 3314])).
% 1.38/1.24 tff(3319,plain,
% 1.38/1.24 (m_main_v_state2(s36, c_c2)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3318, 3310, 3182, 3238, 3306, 3302])).
% 1.38/1.24 tff(3320,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3321,plain,
% 1.38/1.24 ((~![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)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3322,plain,
% 1.38/1.24 ((~![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))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 1.38/1.24 tff(3323,plain,
% 1.38/1.24 (~m_main_v_state2(s36, c_n2)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3322, 716, 3319])).
% 1.38/1.24 tff(3324,plain,
% 1.38/1.24 (((~![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)))),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3325,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 1.38/1.24 inference(quant_inst,[status(thm)],[])).
% 1.38/1.24 tff(3326,plain,
% 1.38/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 1.38/1.24 tff(3327,plain,
% 1.38/1.24 (~node4(s36)),
% 1.38/1.24 inference(unit_resolution,[status(thm)],[3326, 162, 3323])).
% 1.38/1.24 tff(3328,plain,
% 1.38/1.24 (succ(s36, s37) <=> succ(s36, s37)),
% 1.38/1.24 inference(rewrite,[status(thm)],[])).
% 1.38/1.24 tff(3329,axiom,(succ(s36, s37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound37')).
% 1.38/1.24 tff(3330,plain,
% 1.38/1.24 (succ(s36, s37)),
% 1.38/1.24 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 1.41/1.24 tff(3331,plain,
% 1.41/1.24 (((~![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))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3332,plain,
% 1.41/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3333,plain,
% 1.41/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 1.41/1.24 tff(3334,plain,
% 1.41/1.24 (trans(s36, s37)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3333, 3330, 57])).
% 1.41/1.24 tff(3335,plain,
% 1.41/1.24 (((~![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))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3336,plain,
% 1.41/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3337,plain,
% 1.41/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 1.41/1.24 tff(3338,plain,
% 1.41/1.24 (node7(s36, s37)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3337, 217, 3334])).
% 1.41/1.24 tff(3339,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3340,plain,
% 1.41/1.24 ((~![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)))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3341,plain,
% 1.41/1.24 ((~![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))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 1.41/1.24 tff(3342,plain,
% 1.41/1.24 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3341, 745, 3338])).
% 1.41/1.24 tff(3343,plain,
% 1.41/1.24 (node6(s36, s37)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3342, 3327, 3291, 3287, 3283, 3279, 3262])).
% 1.41/1.24 tff(3344,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3345,plain,
% 1.41/1.24 (((~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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3346,plain,
% 1.41/1.24 (((~![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))))),
% 1.41/1.24 inference(monotonicity,[status(thm)],[3345])).
% 1.41/1.24 tff(3347,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(transitivity,[status(thm)],[3346, 3344])).
% 1.41/1.24 tff(3348,plain,
% 1.41/1.24 ((~![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))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3349,plain,
% 1.41/1.24 ((~![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))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3348, 3347])).
% 1.41/1.24 tff(3350,plain,
% 1.41/1.24 (m_main_v_state1(s37, c_t1)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3349, 760, 3254, 3343])).
% 1.41/1.24 tff(3351,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3352,plain,
% 1.41/1.24 ((~![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)))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3353,plain,
% 1.41/1.24 ((~![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))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 1.41/1.24 tff(3354,plain,
% 1.41/1.24 (~m_main_v_state2(s36, c_t2)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3353, 173, 3319])).
% 1.41/1.24 tff(3355,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3356,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3357,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 1.41/1.24 tff(3358,plain,
% 1.41/1.24 (~node12(s36)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3357, 778, 3354])).
% 1.41/1.24 tff(3359,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3360,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3361,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 1.41/1.24 tff(3362,plain,
% 1.41/1.24 (~node11(s36)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3361, 361, 3258])).
% 1.41/1.24 tff(3363,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3364,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3365,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 1.41/1.24 tff(3366,plain,
% 1.41/1.24 (~node10(s36)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3365, 793, 3291])).
% 1.41/1.24 tff(3367,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3368,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3369,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 1.41/1.24 tff(3370,plain,
% 1.41/1.24 (~node9(s36)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3369, 804, 3258])).
% 1.41/1.24 tff(3371,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3372,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3373,plain,
% 1.41/1.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 1.41/1.24 tff(3374,plain,
% 1.41/1.24 (~node8(s36)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3373, 383, 3323])).
% 1.41/1.24 tff(3375,plain,
% 1.41/1.24 (((~![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))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3376,plain,
% 1.41/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 1.41/1.24 inference(quant_inst,[status(thm)],[])).
% 1.41/1.24 tff(3377,plain,
% 1.41/1.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 1.41/1.24 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 1.41/1.24 tff(3378,plain,
% 1.41/1.24 (node14(s36, s37)),
% 1.41/1.24 inference(unit_resolution,[status(thm)],[3377, 130, 3334])).
% 1.41/1.24 tff(3379,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3380,plain,
% 1.41/1.24 (((~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)))),
% 1.41/1.24 inference(rewrite,[status(thm)],[])).
% 1.41/1.24 tff(3381,plain,
% 1.41/1.24 (((~![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))))),
% 1.41/1.24 inference(monotonicity,[status(thm)],[3380])).
% 1.41/1.24 tff(3382,plain,
% 1.41/1.24 (((~![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)))),
% 1.41/1.25 inference(transitivity,[status(thm)],[3381, 3379])).
% 1.41/1.25 tff(3383,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3384,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 1.41/1.25 tff(3385,plain,
% 1.41/1.25 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3384, 826, 3378])).
% 1.41/1.25 tff(3386,plain,
% 1.41/1.25 (m_main_v_state2(s37, c_n2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3385, 3374, 3319, 3370, 3366, 3362, 3358])).
% 1.41/1.25 tff(3387,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3388,plain,
% 1.41/1.25 ((~![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)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3389,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 1.41/1.25 tff(3390,plain,
% 1.41/1.25 (~m_main_v_state2(s37, c_t2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3389, 10, 3386])).
% 1.41/1.25 tff(3391,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3392,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3393,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 1.41/1.25 tff(3394,plain,
% 1.41/1.25 (~node15(s37)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3393, 21, 3390])).
% 1.41/1.25 tff(3395,plain,
% 1.41/1.25 (succ(s37, s38) <=> succ(s37, s38)),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3396,axiom,(succ(s37, s38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound38')).
% 1.41/1.25 tff(3397,plain,
% 1.41/1.25 (succ(s37, s38)),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 1.41/1.25 tff(3398,plain,
% 1.41/1.25 (((~![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))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3399,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3400,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 1.41/1.25 tff(3401,plain,
% 1.41/1.25 (trans(s37, s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3400, 3397, 57])).
% 1.41/1.25 tff(3402,plain,
% 1.41/1.25 (((~![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))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3403,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3404,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 1.41/1.25 tff(3405,plain,
% 1.41/1.25 (node18(s37, s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3404, 71, 3401])).
% 1.41/1.25 tff(3406,plain,
% 1.41/1.25 (((~![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))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3407,plain,
% 1.41/1.25 (((~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))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3408,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(monotonicity,[status(thm)],[3407])).
% 1.41/1.25 tff(3409,plain,
% 1.41/1.25 (((~![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))),
% 1.41/1.25 inference(transitivity,[status(thm)],[3408, 3406])).
% 1.41/1.25 tff(3410,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3411,plain,
% 1.41/1.25 ((~![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)),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 1.41/1.25 tff(3412,plain,
% 1.41/1.25 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3411, 863, 3405])).
% 1.41/1.25 tff(3413,plain,
% 1.41/1.25 (m_main_v_turn(s38, c_1)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3412, 3394, 3386, 3350])).
% 1.41/1.25 tff(3414,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3415,plain,
% 1.41/1.25 ((~![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)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3416,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 1.41/1.25 tff(3417,plain,
% 1.41/1.25 (~m_main_v_turn(s38, c_2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3416, 322, 3413])).
% 1.41/1.25 tff(3418,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3419,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3420,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 1.41/1.25 tff(3421,plain,
% 1.41/1.25 (~node12(s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3420, 350, 3417])).
% 1.41/1.25 tff(3422,plain,
% 1.41/1.25 (((~![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))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3423,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3424,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3423, 3422])).
% 1.41/1.25 tff(3425,plain,
% 1.41/1.25 (node14(s37, s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3424, 130, 3401])).
% 1.41/1.25 tff(3426,plain,
% 1.41/1.25 (((~![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))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3427,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3428,plain,
% 1.41/1.25 ((~![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)),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 1.41/1.25 tff(3429,plain,
% 1.41/1.25 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3428, 893, 3425])).
% 1.41/1.25 tff(3430,plain,
% 1.41/1.25 (m_main_v_state2(s38, c_t2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3429, 3350, 3386])).
% 1.41/1.25 tff(3431,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3432,plain,
% 1.41/1.25 ((~![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)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3433,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 1.41/1.25 tff(3434,plain,
% 1.41/1.25 (~m_main_v_state2(s38, c_n2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3433, 10, 3430])).
% 1.41/1.25 tff(3435,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3436,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3437,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3436, 3435])).
% 1.41/1.25 tff(3438,plain,
% 1.41/1.25 (~node8(s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3437, 383, 3434])).
% 1.41/1.25 tff(3439,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3440,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3441,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 1.41/1.25 tff(3442,plain,
% 1.41/1.25 (~node9(s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3441, 311, 3434])).
% 1.41/1.25 tff(3443,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3444,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3445,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 1.41/1.25 tff(3446,plain,
% 1.41/1.25 (~node10(s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3445, 372, 3434])).
% 1.41/1.25 tff(3447,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3448,plain,
% 1.41/1.25 ((~![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)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3449,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 1.41/1.25 tff(3450,plain,
% 1.41/1.25 (~m_main_v_state2(s38, c_c2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3449, 173, 3430])).
% 1.41/1.25 tff(3451,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3452,plain,
% 1.41/1.25 ((~![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)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3453,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 1.41/1.25 tff(3454,plain,
% 1.41/1.25 (~m_main_v_state2(s37, c_c2)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3453, 716, 3386])).
% 1.41/1.25 tff(3455,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3456,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3457,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3456, 3455])).
% 1.41/1.25 tff(3458,plain,
% 1.41/1.25 (~node3(s37)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3457, 184, 3454])).
% 1.41/1.25 tff(3459,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3460,plain,
% 1.41/1.25 (((~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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3461,plain,
% 1.41/1.25 (((~![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))))),
% 1.41/1.25 inference(monotonicity,[status(thm)],[3460])).
% 1.41/1.25 tff(3462,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(transitivity,[status(thm)],[3461, 3459])).
% 1.41/1.25 tff(3463,plain,
% 1.41/1.25 ((~![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)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3464,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 1.41/1.25 tff(3465,plain,
% 1.41/1.25 (~m_main_v_state1(s37, c_n1)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3464, 936, 3258, 3343])).
% 1.41/1.25 tff(3466,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3467,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3468,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 1.41/1.25 tff(3469,plain,
% 1.41/1.25 (~node2(s37)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3468, 652, 3465])).
% 1.41/1.25 tff(3470,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3471,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3472,plain,
% 1.41/1.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 1.41/1.25 tff(3473,plain,
% 1.41/1.25 (~node1(s37)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3472, 206, 3390])).
% 1.41/1.25 tff(3474,plain,
% 1.41/1.25 (((~![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))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3475,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 1.41/1.25 inference(quant_inst,[status(thm)],[])).
% 1.41/1.25 tff(3476,plain,
% 1.41/1.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 1.41/1.25 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 1.41/1.25 tff(3477,plain,
% 1.41/1.25 (node7(s37, s38)),
% 1.41/1.25 inference(unit_resolution,[status(thm)],[3476, 217, 3401])).
% 1.41/1.25 tff(3478,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3479,plain,
% 1.41/1.25 (((~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)))),
% 1.41/1.25 inference(rewrite,[status(thm)],[])).
% 1.41/1.25 tff(3480,plain,
% 1.41/1.25 (((~![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))))),
% 1.41/1.25 inference(monotonicity,[status(thm)],[3479])).
% 1.41/1.25 tff(3481,plain,
% 1.41/1.25 (((~![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)))),
% 1.41/1.25 inference(transitivity,[status(thm)],[3480, 3478])).
% 1.41/1.25 tff(3482,plain,
% 1.41/1.25 ((~![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))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3483,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 1.41/1.26 tff(3484,plain,
% 1.41/1.26 ((~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)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3483, 965, 3477])).
% 1.41/1.26 tff(3485,plain,
% 1.41/1.26 (m_main_v_state1(s38, c_c1)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3484, 3473, 3386, 3350, 3469, 3458])).
% 1.41/1.26 tff(3486,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3487,plain,
% 1.41/1.26 ((~![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)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3488,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 1.41/1.26 tff(3489,plain,
% 1.41/1.26 (~m_main_v_state1(s38, c_n1)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3488, 449, 3485])).
% 1.41/1.26 tff(3490,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3491,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3492,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 1.41/1.26 tff(3493,plain,
% 1.41/1.26 (~node11(s38)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3492, 361, 3489])).
% 1.41/1.26 tff(3494,plain,
% 1.41/1.26 (succ(s38, s39) <=> succ(s38, s39)),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3495,axiom,(succ(s38, s39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound39')).
% 1.41/1.26 tff(3496,plain,
% 1.41/1.26 (succ(s38, s39)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 1.41/1.26 tff(3497,plain,
% 1.41/1.26 (((~![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))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3498,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3499,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 1.41/1.26 tff(3500,plain,
% 1.41/1.26 (trans(s38, s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3499, 3496, 57])).
% 1.41/1.26 tff(3501,plain,
% 1.41/1.26 (((~![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))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3502,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3503,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 1.41/1.26 tff(3504,plain,
% 1.41/1.26 (node14(s38, s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3503, 130, 3500])).
% 1.41/1.26 tff(3505,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3506,plain,
% 1.41/1.26 ((~![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)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3507,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3506, 3505])).
% 1.41/1.26 tff(3508,plain,
% 1.41/1.26 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3507, 401, 3504])).
% 1.41/1.26 tff(3509,plain,
% 1.41/1.26 (node13(s38, s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3508, 3493, 3450, 3446, 3442, 3438, 3421])).
% 1.41/1.26 tff(3510,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3511,plain,
% 1.41/1.26 (((~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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3512,plain,
% 1.41/1.26 (((~![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))))),
% 1.41/1.26 inference(monotonicity,[status(thm)],[3511])).
% 1.41/1.26 tff(3513,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(transitivity,[status(thm)],[3512, 3510])).
% 1.41/1.26 tff(3514,plain,
% 1.41/1.26 ((~![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)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3515,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 1.41/1.26 tff(3516,plain,
% 1.41/1.26 (~m_main_v_state2(s39, c_n2)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3515, 416, 3434, 3509])).
% 1.41/1.26 tff(3517,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3518,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3519,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 1.41/1.26 tff(3520,plain,
% 1.41/1.26 (~node9(s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3519, 311, 3516])).
% 1.41/1.26 tff(3521,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3522,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3523,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 1.41/1.26 tff(3524,plain,
% 1.41/1.26 (~node10(s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3523, 372, 3516])).
% 1.41/1.26 tff(3525,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3526,plain,
% 1.41/1.26 (((~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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3527,plain,
% 1.41/1.26 (((~![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))))),
% 1.41/1.26 inference(monotonicity,[status(thm)],[3526])).
% 1.41/1.26 tff(3528,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(transitivity,[status(thm)],[3527, 3525])).
% 1.41/1.26 tff(3529,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3530,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 1.41/1.26 tff(3531,plain,
% 1.41/1.26 (m_main_v_state2(s39, c_t2)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3530, 563, 3430, 3509])).
% 1.41/1.26 tff(3532,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3533,plain,
% 1.41/1.26 ((~![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)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3534,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 1.41/1.26 tff(3535,plain,
% 1.41/1.26 (~m_main_v_state1(s38, c_t1)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3534, 289, 3485])).
% 1.41/1.26 tff(3536,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3537,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3538,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 1.41/1.26 tff(3539,plain,
% 1.41/1.26 (~node5(s38)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3538, 300, 3535])).
% 1.41/1.26 tff(3540,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3541,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3542,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 1.41/1.26 tff(3543,plain,
% 1.41/1.26 (~node4(s38)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3542, 162, 3434])).
% 1.41/1.26 tff(3544,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3545,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3546,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 1.41/1.26 tff(3547,plain,
% 1.41/1.26 (~node3(s38)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3546, 184, 3450])).
% 1.41/1.26 tff(3548,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3549,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3550,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 1.41/1.26 tff(3551,plain,
% 1.41/1.26 (~node2(s38)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3550, 195, 3434])).
% 1.41/1.26 tff(3552,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3553,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3554,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 1.41/1.26 tff(3555,plain,
% 1.41/1.26 (~node1(s38)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3554, 249, 3489])).
% 1.41/1.26 tff(3556,plain,
% 1.41/1.26 (((~![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))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3557,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3558,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 1.41/1.26 tff(3559,plain,
% 1.41/1.26 (node7(s38, s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3558, 217, 3500])).
% 1.41/1.26 tff(3560,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3561,plain,
% 1.41/1.26 (((~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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3562,plain,
% 1.41/1.26 (((~![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))))),
% 1.41/1.26 inference(monotonicity,[status(thm)],[3561])).
% 1.41/1.26 tff(3563,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(transitivity,[status(thm)],[3562, 3560])).
% 1.41/1.26 tff(3564,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3565,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 1.41/1.26 tff(3566,plain,
% 1.41/1.26 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3565, 478, 3559])).
% 1.41/1.26 tff(3567,plain,
% 1.41/1.26 (m_main_v_state1(s39, c_n1)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3566, 3555, 3485, 3551, 3547, 3543, 3539])).
% 1.41/1.26 tff(3568,plain,
% 1.41/1.26 (((~![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)))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3569,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3570,plain,
% 1.41/1.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 1.41/1.26 tff(3571,plain,
% 1.41/1.26 (~node8(s39)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3570, 383, 3516])).
% 1.41/1.26 tff(3572,plain,
% 1.41/1.26 (succ(s39, s40) <=> succ(s39, s40)),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3573,axiom,(succ(s39, s40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound40')).
% 1.41/1.26 tff(3574,plain,
% 1.41/1.26 (succ(s39, s40)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 1.41/1.26 tff(3575,plain,
% 1.41/1.26 (((~![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))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3576,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3577,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 1.41/1.26 tff(3578,plain,
% 1.41/1.26 (trans(s39, s40)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3577, 3574, 57])).
% 1.41/1.26 tff(3579,plain,
% 1.41/1.26 (((~![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))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3580,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3581,plain,
% 1.41/1.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 1.41/1.26 tff(3582,plain,
% 1.41/1.26 (node14(s39, s40)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3581, 130, 3578])).
% 1.41/1.26 tff(3583,plain,
% 1.41/1.26 (((~![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))),
% 1.41/1.26 inference(rewrite,[status(thm)],[])).
% 1.41/1.26 tff(3584,plain,
% 1.41/1.26 ((~![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))),
% 1.41/1.26 inference(quant_inst,[status(thm)],[])).
% 1.41/1.26 tff(3585,plain,
% 1.41/1.26 ((~![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)),
% 1.41/1.26 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 1.41/1.26 tff(3586,plain,
% 1.41/1.26 ((~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)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3585, 704, 3582])).
% 1.41/1.26 tff(3587,plain,
% 1.41/1.26 (m_main_v_state2(s40, c_c2)),
% 1.41/1.26 inference(unit_resolution,[status(thm)],[3586, 3571, 3567, 3531, 3524, 3520])).
% 1.41/1.27 tff(3588,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3589,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3590,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 1.41/1.27 tff(3591,plain,
% 1.41/1.27 (~m_main_v_state2(s40, c_t2)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3590, 173, 3587])).
% 1.41/1.27 tff(3592,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3593,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3594,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 1.41/1.27 tff(3595,plain,
% 1.41/1.27 (~node12(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3594, 778, 3591])).
% 1.41/1.27 tff(3596,plain,
% 1.41/1.27 (((~![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))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3597,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3598,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 1.41/1.27 tff(3599,plain,
% 1.41/1.27 (node7(s39, s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3598, 217, 3578])).
% 1.41/1.27 tff(3600,plain,
% 1.41/1.27 (((~![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))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3601,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3602,plain,
% 1.41/1.27 ((~![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)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 1.41/1.27 tff(3603,plain,
% 1.41/1.27 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3602, 598, 3599])).
% 1.41/1.27 tff(3604,plain,
% 1.41/1.27 (m_main_v_state1(s40, c_t1)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3603, 3531, 3567])).
% 1.41/1.27 tff(3605,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3606,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3607,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 1.41/1.27 tff(3608,plain,
% 1.41/1.27 (~m_main_v_state1(s40, c_n1)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3607, 35, 3604])).
% 1.41/1.27 tff(3609,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3610,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3611,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 1.41/1.27 tff(3612,plain,
% 1.41/1.27 (~node11(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3611, 361, 3608])).
% 1.41/1.27 tff(3613,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3614,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3615,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 1.41/1.27 tff(3616,plain,
% 1.41/1.27 (~m_main_v_state1(s40, c_c1)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3615, 289, 3604])).
% 1.41/1.27 tff(3617,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3618,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3619,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 1.41/1.27 tff(3620,plain,
% 1.41/1.27 (~node10(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3619, 793, 3616])).
% 1.41/1.27 tff(3621,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3622,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3623,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 1.41/1.27 tff(3624,plain,
% 1.41/1.27 (~node9(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3623, 804, 3608])).
% 1.41/1.27 tff(3625,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3626,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3627,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 1.41/1.27 tff(3628,plain,
% 1.41/1.27 (~m_main_v_state2(s40, c_n2)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3627, 716, 3587])).
% 1.41/1.27 tff(3629,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3630,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3631,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 1.41/1.27 tff(3632,plain,
% 1.41/1.27 (~node8(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3631, 383, 3628])).
% 1.41/1.27 tff(3633,plain,
% 1.41/1.27 (succ(s40, s41) <=> succ(s40, s41)),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3634,axiom,(succ(s40, s41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound41')).
% 1.41/1.27 tff(3635,plain,
% 1.41/1.27 (succ(s40, s41)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 1.41/1.27 tff(3636,plain,
% 1.41/1.27 (((~![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))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3637,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3638,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 1.41/1.27 tff(3639,plain,
% 1.41/1.27 (trans(s40, s41)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3638, 3635, 57])).
% 1.41/1.27 tff(3640,plain,
% 1.41/1.27 (((~![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))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3641,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3642,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 1.41/1.27 tff(3643,plain,
% 1.41/1.27 (node14(s40, s41)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3642, 130, 3639])).
% 1.41/1.27 tff(3644,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3645,plain,
% 1.41/1.27 (((~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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3646,plain,
% 1.41/1.27 (((~![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))))),
% 1.41/1.27 inference(monotonicity,[status(thm)],[3645])).
% 1.41/1.27 tff(3647,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(transitivity,[status(thm)],[3646, 3644])).
% 1.41/1.27 tff(3648,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3649,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 1.41/1.27 tff(3650,plain,
% 1.41/1.27 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3649, 826, 3643])).
% 1.41/1.27 tff(3651,plain,
% 1.41/1.27 (m_main_v_state2(s41, c_n2)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3650, 3632, 3587, 3624, 3620, 3612, 3595])).
% 1.41/1.27 tff(3652,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3653,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3654,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 1.41/1.27 tff(3655,plain,
% 1.41/1.27 (~m_main_v_state2(s41, c_c2)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3654, 716, 3651])).
% 1.41/1.27 tff(3656,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3657,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3658,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 1.41/1.27 tff(3659,plain,
% 1.41/1.27 (~node3(s41)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3658, 184, 3655])).
% 1.41/1.27 tff(3660,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3661,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3662,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 1.41/1.27 tff(3663,plain,
% 1.41/1.27 (~node1(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3662, 249, 3608])).
% 1.41/1.27 tff(3664,plain,
% 1.41/1.27 (((~![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))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3665,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3666,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 1.41/1.27 tff(3667,plain,
% 1.41/1.27 (node18(s39, s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3666, 71, 3578])).
% 1.41/1.27 tff(3668,plain,
% 1.41/1.27 (((~![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))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3669,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3670,plain,
% 1.41/1.27 ((~![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)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 1.41/1.27 tff(3671,plain,
% 1.41/1.27 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3670, 625, 3667])).
% 1.41/1.27 tff(3672,plain,
% 1.41/1.27 (m_main_v_turn(s40, c_2)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3671, 3531, 3567])).
% 1.41/1.27 tff(3673,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3674,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3675,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 1.41/1.27 tff(3676,plain,
% 1.41/1.27 (~m_main_v_turn(s40, c_1)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3675, 322, 3672])).
% 1.41/1.27 tff(3677,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3678,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3679,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 1.41/1.27 tff(3680,plain,
% 1.41/1.27 (~node5(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3679, 641, 3676])).
% 1.41/1.27 tff(3681,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3682,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3683,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 1.41/1.27 tff(3684,plain,
% 1.41/1.27 (~node2(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3683, 652, 3608])).
% 1.41/1.27 tff(3685,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3686,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3687,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 1.41/1.27 tff(3688,plain,
% 1.41/1.27 (~node3(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3687, 663, 3608])).
% 1.41/1.27 tff(3689,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3690,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3691,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 1.41/1.27 tff(3692,plain,
% 1.41/1.27 (~node4(s40)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3691, 162, 3628])).
% 1.41/1.27 tff(3693,plain,
% 1.41/1.27 (((~![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))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3694,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3695,plain,
% 1.41/1.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 1.41/1.27 tff(3696,plain,
% 1.41/1.27 (node7(s40, s41)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3695, 217, 3639])).
% 1.41/1.27 tff(3697,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3698,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3699,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 1.41/1.27 tff(3700,plain,
% 1.41/1.27 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3699, 745, 3696])).
% 1.41/1.27 tff(3701,plain,
% 1.41/1.27 (node6(s40, s41)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3700, 3692, 3616, 3688, 3684, 3680, 3663])).
% 1.41/1.27 tff(3702,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3703,plain,
% 1.41/1.27 (((~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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3704,plain,
% 1.41/1.27 (((~![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))))),
% 1.41/1.27 inference(monotonicity,[status(thm)],[3703])).
% 1.41/1.27 tff(3705,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(transitivity,[status(thm)],[3704, 3702])).
% 1.41/1.27 tff(3706,plain,
% 1.41/1.27 ((~![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)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3707,plain,
% 1.41/1.27 ((~![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))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 1.41/1.27 tff(3708,plain,
% 1.41/1.27 (~m_main_v_state1(s41, c_n1)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3707, 936, 3608, 3701])).
% 1.41/1.27 tff(3709,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3710,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 1.41/1.27 inference(quant_inst,[status(thm)],[])).
% 1.41/1.27 tff(3711,plain,
% 1.41/1.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 1.41/1.27 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 1.41/1.27 tff(3712,plain,
% 1.41/1.27 (~node2(s41)),
% 1.41/1.27 inference(unit_resolution,[status(thm)],[3711, 652, 3708])).
% 1.41/1.27 tff(3713,plain,
% 1.41/1.27 (((~![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)))),
% 1.41/1.27 inference(rewrite,[status(thm)],[])).
% 1.41/1.27 tff(3714,plain,
% 1.41/1.27 (((~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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3715,plain,
% 1.41/1.28 (((~![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))))),
% 1.41/1.28 inference(monotonicity,[status(thm)],[3714])).
% 1.41/1.28 tff(3716,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(transitivity,[status(thm)],[3715, 3713])).
% 1.41/1.28 tff(3717,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3718,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 1.41/1.28 tff(3719,plain,
% 1.41/1.28 (m_main_v_state1(s41, c_t1)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3718, 760, 3604, 3701])).
% 1.41/1.28 tff(3720,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3721,plain,
% 1.41/1.28 ((~![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)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3722,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 1.41/1.28 tff(3723,plain,
% 1.41/1.28 (~m_main_v_state2(s41, c_t2)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3722, 10, 3651])).
% 1.41/1.28 tff(3724,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3725,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3726,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 1.41/1.28 tff(3727,plain,
% 1.41/1.28 (~node1(s41)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3726, 206, 3723])).
% 1.41/1.28 tff(3728,plain,
% 1.41/1.28 (succ(s41, s42) <=> succ(s41, s42)),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3729,axiom,(succ(s41, s42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound42')).
% 1.41/1.28 tff(3730,plain,
% 1.41/1.28 (succ(s41, s42)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 1.41/1.28 tff(3731,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3732,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3733,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 1.41/1.28 tff(3734,plain,
% 1.41/1.28 (trans(s41, s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3733, 3730, 57])).
% 1.41/1.28 tff(3735,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3736,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3737,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 1.41/1.28 tff(3738,plain,
% 1.41/1.28 (node7(s41, s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3737, 217, 3734])).
% 1.41/1.28 tff(3739,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3740,plain,
% 1.41/1.28 (((~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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3741,plain,
% 1.41/1.28 (((~![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))))),
% 1.41/1.28 inference(monotonicity,[status(thm)],[3740])).
% 1.41/1.28 tff(3742,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(transitivity,[status(thm)],[3741, 3739])).
% 1.41/1.28 tff(3743,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3744,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 1.41/1.28 tff(3745,plain,
% 1.41/1.28 ((~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)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3744, 965, 3738])).
% 1.41/1.28 tff(3746,plain,
% 1.41/1.28 (m_main_v_state1(s42, c_c1)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3745, 3727, 3651, 3719, 3712, 3659])).
% 1.41/1.28 tff(3747,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3748,plain,
% 1.41/1.28 ((~![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)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3749,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 1.41/1.28 tff(3750,plain,
% 1.41/1.28 (~m_main_v_state1(s42, c_t1)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3749, 289, 3746])).
% 1.41/1.28 tff(3751,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3752,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3753,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 1.41/1.28 tff(3754,plain,
% 1.41/1.28 (~node5(s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3753, 300, 3750])).
% 1.41/1.28 tff(3755,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3756,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3757,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3756, 3755])).
% 1.41/1.28 tff(3758,plain,
% 1.41/1.28 (node14(s41, s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3757, 130, 3734])).
% 1.41/1.28 tff(3759,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3760,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3761,plain,
% 1.41/1.28 ((~![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)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 1.41/1.28 tff(3762,plain,
% 1.41/1.28 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3761, 893, 3758])).
% 1.41/1.28 tff(3763,plain,
% 1.41/1.28 (m_main_v_state2(s42, c_t2)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3762, 3719, 3651])).
% 1.41/1.28 tff(3764,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3765,plain,
% 1.41/1.28 ((~![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)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3766,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 1.41/1.28 tff(3767,plain,
% 1.41/1.28 (~m_main_v_state2(s42, c_n2)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3766, 10, 3763])).
% 1.41/1.28 tff(3768,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3769,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3770,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 1.41/1.28 tff(3771,plain,
% 1.41/1.28 (~node4(s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3770, 162, 3767])).
% 1.41/1.28 tff(3772,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3773,plain,
% 1.41/1.28 ((~![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)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3774,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 1.41/1.28 tff(3775,plain,
% 1.41/1.28 (~m_main_v_state2(s42, c_c2)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3774, 173, 3763])).
% 1.41/1.28 tff(3776,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3777,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3778,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 1.41/1.28 tff(3779,plain,
% 1.41/1.28 (~node3(s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3778, 184, 3775])).
% 1.41/1.28 tff(3780,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3781,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3782,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 1.41/1.28 tff(3783,plain,
% 1.41/1.28 (~node2(s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3782, 195, 3767])).
% 1.41/1.28 tff(3784,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3785,plain,
% 1.41/1.28 ((~![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)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3786,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 1.41/1.28 tff(3787,plain,
% 1.41/1.28 (~m_main_v_state1(s42, c_n1)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3786, 449, 3746])).
% 1.41/1.28 tff(3788,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3789,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3790,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 1.41/1.28 tff(3791,plain,
% 1.41/1.28 (~node1(s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3790, 249, 3787])).
% 1.41/1.28 tff(3792,plain,
% 1.41/1.28 (succ(s42, s43) <=> succ(s42, s43)),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3793,axiom,(succ(s42, s43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound43')).
% 1.41/1.28 tff(3794,plain,
% 1.41/1.28 (succ(s42, s43)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 1.41/1.28 tff(3795,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3796,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3797,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 1.41/1.28 tff(3798,plain,
% 1.41/1.28 (trans(s42, s43)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3797, 3794, 57])).
% 1.41/1.28 tff(3799,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3800,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3801,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 1.41/1.28 tff(3802,plain,
% 1.41/1.28 (node7(s42, s43)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3801, 217, 3798])).
% 1.41/1.28 tff(3803,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3804,plain,
% 1.41/1.28 (((~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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3805,plain,
% 1.41/1.28 (((~![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))))),
% 1.41/1.28 inference(monotonicity,[status(thm)],[3804])).
% 1.41/1.28 tff(3806,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(transitivity,[status(thm)],[3805, 3803])).
% 1.41/1.28 tff(3807,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3808,plain,
% 1.41/1.28 ((~![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))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 1.41/1.28 tff(3809,plain,
% 1.41/1.28 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3808, 478, 3802])).
% 1.41/1.28 tff(3810,plain,
% 1.41/1.28 (m_main_v_state1(s43, c_n1)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3809, 3791, 3746, 3783, 3779, 3771, 3754])).
% 1.41/1.28 tff(3811,plain,
% 1.41/1.28 (((~![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)))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3812,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3813,plain,
% 1.41/1.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 1.41/1.28 tff(3814,plain,
% 1.41/1.28 (~node15(s41)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3813, 21, 3723])).
% 1.41/1.28 tff(3815,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.28 inference(rewrite,[status(thm)],[])).
% 1.41/1.28 tff(3816,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 1.41/1.28 inference(quant_inst,[status(thm)],[])).
% 1.41/1.28 tff(3817,plain,
% 1.41/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 1.41/1.28 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 1.41/1.28 tff(3818,plain,
% 1.41/1.28 (node18(s41, s42)),
% 1.41/1.28 inference(unit_resolution,[status(thm)],[3817, 71, 3734])).
% 1.41/1.28 tff(3819,plain,
% 1.41/1.28 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3820,plain,
% 1.41/1.29 (((~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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3821,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(monotonicity,[status(thm)],[3820])).
% 1.41/1.29 tff(3822,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(transitivity,[status(thm)],[3821, 3819])).
% 1.41/1.29 tff(3823,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3824,plain,
% 1.41/1.29 ((~![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)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3823, 3822])).
% 1.41/1.29 tff(3825,plain,
% 1.41/1.29 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3824, 863, 3818])).
% 1.41/1.29 tff(3826,plain,
% 1.41/1.29 (m_main_v_turn(s42, c_1)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3825, 3814, 3651, 3719])).
% 1.41/1.29 tff(3827,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3828,plain,
% 1.41/1.29 ((~![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)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3829,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 1.41/1.29 tff(3830,plain,
% 1.41/1.29 (~m_main_v_turn(s42, c_2)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3829, 322, 3826])).
% 1.41/1.29 tff(3831,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3832,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3833,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 1.41/1.29 tff(3834,plain,
% 1.41/1.29 (~node12(s42)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3833, 350, 3830])).
% 1.41/1.29 tff(3835,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3836,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3837,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 1.41/1.29 tff(3838,plain,
% 1.41/1.29 (~node8(s42)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3837, 383, 3767])).
% 1.41/1.29 tff(3839,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3840,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3841,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3840, 3839])).
% 1.41/1.29 tff(3842,plain,
% 1.41/1.29 (~node9(s42)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3841, 311, 3767])).
% 1.41/1.29 tff(3843,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3844,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3845,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 1.41/1.29 tff(3846,plain,
% 1.41/1.29 (~node10(s42)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3845, 372, 3767])).
% 1.41/1.29 tff(3847,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3848,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3849,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 1.41/1.29 tff(3850,plain,
% 1.41/1.29 (~node11(s42)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3849, 361, 3787])).
% 1.41/1.29 tff(3851,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3852,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3853,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 1.41/1.29 tff(3854,plain,
% 1.41/1.29 (node14(s42, s43)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3853, 130, 3798])).
% 1.41/1.29 tff(3855,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3856,plain,
% 1.41/1.29 ((~![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)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3857,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 1.41/1.29 tff(3858,plain,
% 1.41/1.29 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3857, 401, 3854])).
% 1.41/1.29 tff(3859,plain,
% 1.41/1.29 (node13(s42, s43)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3858, 3850, 3775, 3846, 3842, 3838, 3834])).
% 1.41/1.29 tff(3860,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3861,plain,
% 1.41/1.29 (((~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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3862,plain,
% 1.41/1.29 (((~![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))))),
% 1.41/1.29 inference(monotonicity,[status(thm)],[3861])).
% 1.41/1.29 tff(3863,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(transitivity,[status(thm)],[3862, 3860])).
% 1.41/1.29 tff(3864,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3865,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 1.41/1.29 tff(3866,plain,
% 1.41/1.29 (m_main_v_state2(s43, c_t2)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3865, 563, 3763, 3859])).
% 1.41/1.29 tff(3867,plain,
% 1.41/1.29 (succ(s43, s44) <=> succ(s43, s44)),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3868,axiom,(succ(s43, s44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound44')).
% 1.41/1.29 tff(3869,plain,
% 1.41/1.29 (succ(s43, s44)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 1.41/1.29 tff(3870,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3871,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3872,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 1.41/1.29 tff(3873,plain,
% 1.41/1.29 (trans(s43, s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3872, 3869, 57])).
% 1.41/1.29 tff(3874,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3875,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3876,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3875, 3874])).
% 1.41/1.29 tff(3877,plain,
% 1.41/1.29 (node7(s43, s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3876, 217, 3873])).
% 1.41/1.29 tff(3878,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3879,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3880,plain,
% 1.41/1.29 ((~![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)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 1.41/1.29 tff(3881,plain,
% 1.41/1.29 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3880, 598, 3877])).
% 1.41/1.29 tff(3882,plain,
% 1.41/1.29 (m_main_v_state1(s44, c_t1)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3881, 3866, 3810])).
% 1.41/1.29 tff(3883,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3884,plain,
% 1.41/1.29 ((~![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)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3885,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 1.41/1.29 tff(3886,plain,
% 1.41/1.29 (~m_main_v_state1(s44, c_n1)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3885, 35, 3882])).
% 1.41/1.29 tff(3887,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3888,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3889,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 1.41/1.29 tff(3890,plain,
% 1.41/1.29 (~node1(s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3889, 249, 3886])).
% 1.41/1.29 tff(3891,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3892,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3893,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 1.41/1.29 tff(3894,plain,
% 1.41/1.29 (node18(s43, s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3893, 71, 3873])).
% 1.41/1.29 tff(3895,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3896,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3897,plain,
% 1.41/1.29 ((~![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)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 1.41/1.29 tff(3898,plain,
% 1.41/1.29 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3897, 625, 3894])).
% 1.41/1.29 tff(3899,plain,
% 1.41/1.29 (m_main_v_turn(s44, c_2)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3898, 3866, 3810])).
% 1.41/1.29 tff(3900,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3901,plain,
% 1.41/1.29 ((~![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)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3902,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 1.41/1.29 tff(3903,plain,
% 1.41/1.29 (~m_main_v_turn(s44, c_1)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3902, 322, 3899])).
% 1.41/1.29 tff(3904,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3905,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3906,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 1.41/1.29 tff(3907,plain,
% 1.41/1.29 (~node5(s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3906, 641, 3903])).
% 1.41/1.29 tff(3908,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3909,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3910,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3909, 3908])).
% 1.41/1.29 tff(3911,plain,
% 1.41/1.29 (~node2(s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3910, 652, 3886])).
% 1.41/1.29 tff(3912,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3913,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3914,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 1.41/1.29 tff(3915,plain,
% 1.41/1.29 (~node3(s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3914, 663, 3886])).
% 1.41/1.29 tff(3916,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3917,plain,
% 1.41/1.29 ((~![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)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3918,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 1.41/1.29 tff(3919,plain,
% 1.41/1.29 (~m_main_v_state1(s44, c_c1)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3918, 289, 3882])).
% 1.41/1.29 tff(3920,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3921,plain,
% 1.41/1.29 (((~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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3922,plain,
% 1.41/1.29 (((~![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))))),
% 1.41/1.29 inference(monotonicity,[status(thm)],[3921])).
% 1.41/1.29 tff(3923,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(transitivity,[status(thm)],[3922, 3920])).
% 1.41/1.29 tff(3924,plain,
% 1.41/1.29 ((~![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)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3925,plain,
% 1.41/1.29 ((~![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))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 1.41/1.29 tff(3926,plain,
% 1.41/1.29 (~m_main_v_state2(s43, c_n2)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3925, 416, 3767, 3859])).
% 1.41/1.29 tff(3927,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3928,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3929,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 1.41/1.29 tff(3930,plain,
% 1.41/1.29 (~node9(s43)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3929, 311, 3926])).
% 1.41/1.29 tff(3931,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3932,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3933,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 1.41/1.29 tff(3934,plain,
% 1.41/1.29 (~node10(s43)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3933, 372, 3926])).
% 1.41/1.29 tff(3935,plain,
% 1.41/1.29 (((~![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)))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3936,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3937,plain,
% 1.41/1.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 1.41/1.29 tff(3938,plain,
% 1.41/1.29 (~node8(s43)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3937, 383, 3926])).
% 1.41/1.29 tff(3939,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.29 tff(3940,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 1.41/1.29 inference(quant_inst,[status(thm)],[])).
% 1.41/1.29 tff(3941,plain,
% 1.41/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 1.41/1.29 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 1.41/1.29 tff(3942,plain,
% 1.41/1.29 (node14(s43, s44)),
% 1.41/1.29 inference(unit_resolution,[status(thm)],[3941, 130, 3873])).
% 1.41/1.29 tff(3943,plain,
% 1.41/1.29 (((~![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))),
% 1.41/1.29 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3944,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3945,plain,
% 1.41/1.30 ((~![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)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 1.41/1.30 tff(3946,plain,
% 1.41/1.30 ((~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)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3945, 704, 3942])).
% 1.41/1.30 tff(3947,plain,
% 1.41/1.30 (m_main_v_state2(s44, c_c2)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3946, 3938, 3810, 3866, 3934, 3930])).
% 1.41/1.30 tff(3948,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3949,plain,
% 1.41/1.30 ((~![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)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3950,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 1.41/1.30 tff(3951,plain,
% 1.41/1.30 (~m_main_v_state2(s44, c_n2)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3950, 716, 3947])).
% 1.41/1.30 tff(3952,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3953,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3954,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 1.41/1.30 tff(3955,plain,
% 1.41/1.30 (~node4(s44)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3954, 162, 3951])).
% 1.41/1.30 tff(3956,plain,
% 1.41/1.30 (succ(s44, s45) <=> succ(s44, s45)),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3957,axiom,(succ(s44, s45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound45')).
% 1.41/1.30 tff(3958,plain,
% 1.41/1.30 (succ(s44, s45)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 1.41/1.30 tff(3959,plain,
% 1.41/1.30 (((~![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))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3960,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3961,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3960, 3959])).
% 1.41/1.30 tff(3962,plain,
% 1.41/1.30 (trans(s44, s45)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3961, 3958, 57])).
% 1.41/1.30 tff(3963,plain,
% 1.41/1.30 (((~![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))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3964,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3965,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 1.41/1.30 tff(3966,plain,
% 1.41/1.30 (node7(s44, s45)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3965, 217, 3962])).
% 1.41/1.30 tff(3967,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3968,plain,
% 1.41/1.30 ((~![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)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3969,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 1.41/1.30 tff(3970,plain,
% 1.41/1.30 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3969, 745, 3966])).
% 1.41/1.30 tff(3971,plain,
% 1.41/1.30 (node6(s44, s45)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3970, 3955, 3919, 3915, 3911, 3907, 3890])).
% 1.41/1.30 tff(3972,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3973,plain,
% 1.41/1.30 (((~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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3974,plain,
% 1.41/1.30 (((~![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))))),
% 1.41/1.30 inference(monotonicity,[status(thm)],[3973])).
% 1.41/1.30 tff(3975,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(transitivity,[status(thm)],[3974, 3972])).
% 1.41/1.30 tff(3976,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3977,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 1.41/1.30 tff(3978,plain,
% 1.41/1.30 (m_main_v_state1(s45, c_t1)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3977, 760, 3882, 3971])).
% 1.41/1.30 tff(3979,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3980,plain,
% 1.41/1.30 ((~![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)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3981,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3980, 3979])).
% 1.41/1.30 tff(3982,plain,
% 1.41/1.30 (~m_main_v_state2(s44, c_t2)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3981, 173, 3947])).
% 1.41/1.30 tff(3983,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3984,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3985,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 1.41/1.30 tff(3986,plain,
% 1.41/1.30 (~node12(s44)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3985, 778, 3982])).
% 1.41/1.30 tff(3987,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3988,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3989,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 1.41/1.30 tff(3990,plain,
% 1.41/1.30 (~node11(s44)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3989, 361, 3886])).
% 1.41/1.30 tff(3991,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3992,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3993,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 1.41/1.30 tff(3994,plain,
% 1.41/1.30 (~node10(s44)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3993, 793, 3919])).
% 1.41/1.30 tff(3995,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(3996,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(3997,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 1.41/1.30 tff(3998,plain,
% 1.41/1.30 (~node9(s44)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[3997, 804, 3886])).
% 1.41/1.30 tff(3999,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4000,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4001,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 1.41/1.30 tff(4002,plain,
% 1.41/1.30 (~node8(s44)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4001, 383, 3951])).
% 1.41/1.30 tff(4003,plain,
% 1.41/1.30 (((~![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))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4004,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4005,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 1.41/1.30 tff(4006,plain,
% 1.41/1.30 (node14(s44, s45)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4005, 130, 3962])).
% 1.41/1.30 tff(4007,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4008,plain,
% 1.41/1.30 (((~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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4009,plain,
% 1.41/1.30 (((~![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))))),
% 1.41/1.30 inference(monotonicity,[status(thm)],[4008])).
% 1.41/1.30 tff(4010,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(transitivity,[status(thm)],[4009, 4007])).
% 1.41/1.30 tff(4011,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4012,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 1.41/1.30 tff(4013,plain,
% 1.41/1.30 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4012, 826, 4006])).
% 1.41/1.30 tff(4014,plain,
% 1.41/1.30 (m_main_v_state2(s45, c_n2)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4013, 4002, 3947, 3998, 3994, 3990, 3986])).
% 1.41/1.30 tff(4015,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4016,plain,
% 1.41/1.30 ((~![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)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4017,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 1.41/1.30 tff(4018,plain,
% 1.41/1.30 (~m_main_v_state2(s45, c_t2)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4017, 10, 4014])).
% 1.41/1.30 tff(4019,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4020,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4021,plain,
% 1.41/1.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 1.41/1.30 tff(4022,plain,
% 1.41/1.30 (~node15(s45)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4021, 21, 4018])).
% 1.41/1.30 tff(4023,plain,
% 1.41/1.30 (succ(s45, s46) <=> succ(s45, s46)),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4024,axiom,(succ(s45, s46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound46')).
% 1.41/1.30 tff(4025,plain,
% 1.41/1.30 (succ(s45, s46)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 1.41/1.30 tff(4026,plain,
% 1.41/1.30 (((~![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))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4027,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4028,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 1.41/1.30 tff(4029,plain,
% 1.41/1.30 (trans(s45, s46)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4028, 4025, 57])).
% 1.41/1.30 tff(4030,plain,
% 1.41/1.30 (((~![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))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4031,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4032,plain,
% 1.41/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 1.41/1.30 tff(4033,plain,
% 1.41/1.30 (node18(s45, s46)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4032, 71, 4029])).
% 1.41/1.30 tff(4034,plain,
% 1.41/1.30 (((~![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))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4035,plain,
% 1.41/1.30 (((~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))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4036,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(monotonicity,[status(thm)],[4035])).
% 1.41/1.30 tff(4037,plain,
% 1.41/1.30 (((~![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))),
% 1.41/1.30 inference(transitivity,[status(thm)],[4036, 4034])).
% 1.41/1.30 tff(4038,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4039,plain,
% 1.41/1.30 ((~![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)),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 1.41/1.30 tff(4040,plain,
% 1.41/1.30 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4039, 863, 4033])).
% 1.41/1.30 tff(4041,plain,
% 1.41/1.30 (m_main_v_turn(s46, c_1)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4040, 4022, 4014, 3978])).
% 1.41/1.30 tff(4042,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.30 tff(4043,plain,
% 1.41/1.30 ((~![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)))),
% 1.41/1.30 inference(quant_inst,[status(thm)],[])).
% 1.41/1.30 tff(4044,plain,
% 1.41/1.30 ((~![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))),
% 1.41/1.30 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 1.41/1.30 tff(4045,plain,
% 1.41/1.30 (~m_main_v_turn(s46, c_2)),
% 1.41/1.30 inference(unit_resolution,[status(thm)],[4044, 322, 4041])).
% 1.41/1.30 tff(4046,plain,
% 1.41/1.30 (((~![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)))),
% 1.41/1.30 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4047,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4048,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 1.41/1.31 tff(4049,plain,
% 1.41/1.31 (~node12(s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4048, 350, 4045])).
% 1.41/1.31 tff(4050,plain,
% 1.41/1.31 (((~![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))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4051,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4052,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 1.41/1.31 tff(4053,plain,
% 1.41/1.31 (node14(s45, s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4052, 130, 4029])).
% 1.41/1.31 tff(4054,plain,
% 1.41/1.31 (((~![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))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4055,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4056,plain,
% 1.41/1.31 ((~![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)),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4055, 4054])).
% 1.41/1.31 tff(4057,plain,
% 1.41/1.31 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4056, 893, 4053])).
% 1.41/1.31 tff(4058,plain,
% 1.41/1.31 (m_main_v_state2(s46, c_t2)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4057, 3978, 4014])).
% 1.41/1.31 tff(4059,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4060,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4061,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4060, 4059])).
% 1.41/1.31 tff(4062,plain,
% 1.41/1.31 (~m_main_v_state2(s46, c_n2)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4061, 10, 4058])).
% 1.41/1.31 tff(4063,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4064,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4065,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 1.41/1.31 tff(4066,plain,
% 1.41/1.31 (~node8(s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4065, 383, 4062])).
% 1.41/1.31 tff(4067,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4068,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4069,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 1.41/1.31 tff(4070,plain,
% 1.41/1.31 (~node9(s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4069, 311, 4062])).
% 1.41/1.31 tff(4071,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4072,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4073,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 1.41/1.31 tff(4074,plain,
% 1.41/1.31 (~node10(s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4073, 372, 4062])).
% 1.41/1.31 tff(4075,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4076,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4077,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4076, 4075])).
% 1.41/1.31 tff(4078,plain,
% 1.41/1.31 (~m_main_v_state2(s46, c_c2)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4077, 173, 4058])).
% 1.41/1.31 tff(4079,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4080,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4081,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 1.41/1.31 tff(4082,plain,
% 1.41/1.31 (~m_main_v_state2(s45, c_c2)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4081, 716, 4014])).
% 1.41/1.31 tff(4083,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4084,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4085,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 1.41/1.31 tff(4086,plain,
% 1.41/1.31 (~node3(s45)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4085, 184, 4082])).
% 1.41/1.31 tff(4087,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4088,plain,
% 1.41/1.31 (((~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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4089,plain,
% 1.41/1.31 (((~![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))))),
% 1.41/1.31 inference(monotonicity,[status(thm)],[4088])).
% 1.41/1.31 tff(4090,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(transitivity,[status(thm)],[4089, 4087])).
% 1.41/1.31 tff(4091,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4092,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 1.41/1.31 tff(4093,plain,
% 1.41/1.31 (~m_main_v_state1(s45, c_n1)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4092, 936, 3886, 3971])).
% 1.41/1.31 tff(4094,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4095,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4096,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 1.41/1.31 tff(4097,plain,
% 1.41/1.31 (~node2(s45)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4096, 652, 4093])).
% 1.41/1.31 tff(4098,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4099,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4100,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 1.41/1.31 tff(4101,plain,
% 1.41/1.31 (~node1(s45)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4100, 206, 4018])).
% 1.41/1.31 tff(4102,plain,
% 1.41/1.31 (((~![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))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4103,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4104,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 1.41/1.31 tff(4105,plain,
% 1.41/1.31 (node7(s45, s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4104, 217, 4029])).
% 1.41/1.31 tff(4106,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4107,plain,
% 1.41/1.31 (((~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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4108,plain,
% 1.41/1.31 (((~![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))))),
% 1.41/1.31 inference(monotonicity,[status(thm)],[4107])).
% 1.41/1.31 tff(4109,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(transitivity,[status(thm)],[4108, 4106])).
% 1.41/1.31 tff(4110,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4111,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 1.41/1.31 tff(4112,plain,
% 1.41/1.31 ((~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)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4111, 965, 4105])).
% 1.41/1.31 tff(4113,plain,
% 1.41/1.31 (m_main_v_state1(s46, c_c1)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4112, 4101, 4014, 3978, 4097, 4086])).
% 1.41/1.31 tff(4114,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4115,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4116,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 1.41/1.31 tff(4117,plain,
% 1.41/1.31 (~m_main_v_state1(s46, c_n1)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4116, 449, 4113])).
% 1.41/1.31 tff(4118,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4119,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4120,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 1.41/1.31 tff(4121,plain,
% 1.41/1.31 (~node11(s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4120, 361, 4117])).
% 1.41/1.31 tff(4122,plain,
% 1.41/1.31 (succ(s46, s47) <=> succ(s46, s47)),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4123,axiom,(succ(s46, s47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound47')).
% 1.41/1.31 tff(4124,plain,
% 1.41/1.31 (succ(s46, s47)),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 1.41/1.31 tff(4125,plain,
% 1.41/1.31 (((~![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))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4126,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4127,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 1.41/1.31 tff(4128,plain,
% 1.41/1.31 (trans(s46, s47)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4127, 4124, 57])).
% 1.41/1.31 tff(4129,plain,
% 1.41/1.31 (((~![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))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4130,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4131,plain,
% 1.41/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 1.41/1.31 tff(4132,plain,
% 1.41/1.31 (node14(s46, s47)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4131, 130, 4128])).
% 1.41/1.31 tff(4133,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4134,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4135,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 1.41/1.31 tff(4136,plain,
% 1.41/1.31 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4135, 401, 4132])).
% 1.41/1.31 tff(4137,plain,
% 1.41/1.31 (node13(s46, s47)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4136, 4121, 4078, 4074, 4070, 4066, 4049])).
% 1.41/1.31 tff(4138,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4139,plain,
% 1.41/1.31 (((~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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4140,plain,
% 1.41/1.31 (((~![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))))),
% 1.41/1.31 inference(monotonicity,[status(thm)],[4139])).
% 1.41/1.31 tff(4141,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(transitivity,[status(thm)],[4140, 4138])).
% 1.41/1.31 tff(4142,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4143,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 1.41/1.31 tff(4144,plain,
% 1.41/1.31 (~m_main_v_state2(s47, c_n2)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4143, 416, 4062, 4137])).
% 1.41/1.31 tff(4145,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4146,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4147,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 1.41/1.31 tff(4148,plain,
% 1.41/1.31 (~node9(s47)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4147, 311, 4144])).
% 1.41/1.31 tff(4149,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4150,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4151,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 1.41/1.31 tff(4152,plain,
% 1.41/1.31 (~node10(s47)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4151, 372, 4144])).
% 1.41/1.31 tff(4153,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4154,plain,
% 1.41/1.31 (((~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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4155,plain,
% 1.41/1.31 (((~![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))))),
% 1.41/1.31 inference(monotonicity,[status(thm)],[4154])).
% 1.41/1.31 tff(4156,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(transitivity,[status(thm)],[4155, 4153])).
% 1.41/1.31 tff(4157,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4158,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 1.41/1.31 tff(4159,plain,
% 1.41/1.31 (m_main_v_state2(s47, c_t2)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4158, 563, 4058, 4137])).
% 1.41/1.31 tff(4160,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4161,plain,
% 1.41/1.31 ((~![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)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4162,plain,
% 1.41/1.31 ((~![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))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 1.41/1.31 tff(4163,plain,
% 1.41/1.31 (~m_main_v_state1(s46, c_t1)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4162, 289, 4113])).
% 1.41/1.31 tff(4164,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.31 inference(rewrite,[status(thm)],[])).
% 1.41/1.31 tff(4165,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 1.41/1.31 inference(quant_inst,[status(thm)],[])).
% 1.41/1.31 tff(4166,plain,
% 1.41/1.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 1.41/1.31 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 1.41/1.31 tff(4167,plain,
% 1.41/1.31 (~node5(s46)),
% 1.41/1.31 inference(unit_resolution,[status(thm)],[4166, 300, 4163])).
% 1.41/1.31 tff(4168,plain,
% 1.41/1.31 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4169,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4170,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 1.41/1.32 tff(4171,plain,
% 1.41/1.32 (~node4(s46)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4170, 162, 4062])).
% 1.41/1.32 tff(4172,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4173,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4174,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 1.41/1.32 tff(4175,plain,
% 1.41/1.32 (~node3(s46)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4174, 184, 4078])).
% 1.41/1.32 tff(4176,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4177,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4178,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 1.41/1.32 tff(4179,plain,
% 1.41/1.32 (~node2(s46)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4178, 195, 4062])).
% 1.41/1.32 tff(4180,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4181,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4182,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 1.41/1.32 tff(4183,plain,
% 1.41/1.32 (~node1(s46)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4182, 249, 4117])).
% 1.41/1.32 tff(4184,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4185,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4186,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 1.41/1.32 tff(4187,plain,
% 1.41/1.32 (node7(s46, s47)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4186, 217, 4128])).
% 1.41/1.32 tff(4188,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4189,plain,
% 1.41/1.32 (((~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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4190,plain,
% 1.41/1.32 (((~![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))))),
% 1.41/1.32 inference(monotonicity,[status(thm)],[4189])).
% 1.41/1.32 tff(4191,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(transitivity,[status(thm)],[4190, 4188])).
% 1.41/1.32 tff(4192,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4193,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 1.41/1.32 tff(4194,plain,
% 1.41/1.32 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4193, 478, 4187])).
% 1.41/1.32 tff(4195,plain,
% 1.41/1.32 (m_main_v_state1(s47, c_n1)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4194, 4183, 4113, 4179, 4175, 4171, 4167])).
% 1.41/1.32 tff(4196,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4197,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4198,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 1.41/1.32 tff(4199,plain,
% 1.41/1.32 (~node8(s47)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4198, 383, 4144])).
% 1.41/1.32 tff(4200,plain,
% 1.41/1.32 (succ(s47, s48) <=> succ(s47, s48)),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4201,axiom,(succ(s47, s48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound48')).
% 1.41/1.32 tff(4202,plain,
% 1.41/1.32 (succ(s47, s48)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4201, 4200])).
% 1.41/1.32 tff(4203,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4204,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4205,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 1.41/1.32 tff(4206,plain,
% 1.41/1.32 (trans(s47, s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4205, 4202, 57])).
% 1.41/1.32 tff(4207,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4208,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4209,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 1.41/1.32 tff(4210,plain,
% 1.41/1.32 (node14(s47, s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4209, 130, 4206])).
% 1.41/1.32 tff(4211,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4212,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4213,plain,
% 1.41/1.32 ((~![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)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 1.41/1.32 tff(4214,plain,
% 1.41/1.32 ((~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)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4213, 704, 4210])).
% 1.41/1.32 tff(4215,plain,
% 1.41/1.32 (m_main_v_state2(s48, c_c2)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4214, 4199, 4195, 4159, 4152, 4148])).
% 1.41/1.32 tff(4216,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4217,plain,
% 1.41/1.32 ((~![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)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4218,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 1.41/1.32 tff(4219,plain,
% 1.41/1.32 (~m_main_v_state2(s48, c_t2)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4218, 173, 4215])).
% 1.41/1.32 tff(4220,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4221,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4222,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 1.41/1.32 tff(4223,plain,
% 1.41/1.32 (~node12(s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4222, 778, 4219])).
% 1.41/1.32 tff(4224,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4225,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4226,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 1.41/1.32 tff(4227,plain,
% 1.41/1.32 (node7(s47, s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4226, 217, 4206])).
% 1.41/1.32 tff(4228,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4229,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4230,plain,
% 1.41/1.32 ((~![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)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 1.41/1.32 tff(4231,plain,
% 1.41/1.32 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4230, 598, 4227])).
% 1.41/1.32 tff(4232,plain,
% 1.41/1.32 (m_main_v_state1(s48, c_t1)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4231, 4159, 4195])).
% 1.41/1.32 tff(4233,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4234,plain,
% 1.41/1.32 ((~![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)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4235,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 1.41/1.32 tff(4236,plain,
% 1.41/1.32 (~m_main_v_state1(s48, c_n1)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4235, 35, 4232])).
% 1.41/1.32 tff(4237,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4238,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4239,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 1.41/1.32 tff(4240,plain,
% 1.41/1.32 (~node11(s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4239, 361, 4236])).
% 1.41/1.32 tff(4241,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4242,plain,
% 1.41/1.32 ((~![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)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4243,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 1.41/1.32 tff(4244,plain,
% 1.41/1.32 (~m_main_v_state1(s48, c_c1)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4243, 289, 4232])).
% 1.41/1.32 tff(4245,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4246,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4247,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 1.41/1.32 tff(4248,plain,
% 1.41/1.32 (~node10(s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4247, 793, 4244])).
% 1.41/1.32 tff(4249,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4250,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4251,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 1.41/1.32 tff(4252,plain,
% 1.41/1.32 (~node9(s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4251, 804, 4236])).
% 1.41/1.32 tff(4253,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4254,plain,
% 1.41/1.32 ((~![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)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4255,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 1.41/1.32 tff(4256,plain,
% 1.41/1.32 (~m_main_v_state2(s48, c_n2)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4255, 716, 4215])).
% 1.41/1.32 tff(4257,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4258,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4259,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 1.41/1.32 tff(4260,plain,
% 1.41/1.32 (~node8(s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4259, 383, 4256])).
% 1.41/1.32 tff(4261,plain,
% 1.41/1.32 (succ(s48, s49) <=> succ(s48, s49)),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4262,axiom,(succ(s48, s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound49')).
% 1.41/1.32 tff(4263,plain,
% 1.41/1.32 (succ(s48, s49)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 1.41/1.32 tff(4264,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4265,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4266,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 1.41/1.32 tff(4267,plain,
% 1.41/1.32 (trans(s48, s49)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4266, 4263, 57])).
% 1.41/1.32 tff(4268,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4269,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4270,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 1.41/1.32 tff(4271,plain,
% 1.41/1.32 (node14(s48, s49)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4270, 130, 4267])).
% 1.41/1.32 tff(4272,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4273,plain,
% 1.41/1.32 (((~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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4274,plain,
% 1.41/1.32 (((~![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))))),
% 1.41/1.32 inference(monotonicity,[status(thm)],[4273])).
% 1.41/1.32 tff(4275,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(transitivity,[status(thm)],[4274, 4272])).
% 1.41/1.32 tff(4276,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4277,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 1.41/1.32 tff(4278,plain,
% 1.41/1.32 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4277, 826, 4271])).
% 1.41/1.32 tff(4279,plain,
% 1.41/1.32 (m_main_v_state2(s49, c_n2)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4278, 4260, 4215, 4252, 4248, 4240, 4223])).
% 1.41/1.32 tff(4280,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4281,plain,
% 1.41/1.32 ((~![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)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4282,plain,
% 1.41/1.32 ((~![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))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 1.41/1.32 tff(4283,plain,
% 1.41/1.32 (~m_main_v_state2(s49, c_c2)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4282, 716, 4279])).
% 1.41/1.32 tff(4284,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4285,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4286,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 1.41/1.32 tff(4287,plain,
% 1.41/1.32 (~node3(s49)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4286, 184, 4283])).
% 1.41/1.32 tff(4288,plain,
% 1.41/1.32 (((~![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)))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4289,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.41/1.32 tff(4290,plain,
% 1.41/1.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 1.41/1.32 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 1.41/1.32 tff(4291,plain,
% 1.41/1.32 (~node1(s48)),
% 1.41/1.32 inference(unit_resolution,[status(thm)],[4290, 249, 4236])).
% 1.41/1.32 tff(4292,plain,
% 1.41/1.32 (((~![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))),
% 1.41/1.32 inference(rewrite,[status(thm)],[])).
% 1.41/1.32 tff(4293,plain,
% 1.41/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 1.41/1.32 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4294,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 1.50/1.33 tff(4295,plain,
% 1.50/1.33 (node18(s47, s48)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4294, 71, 4206])).
% 1.50/1.33 tff(4296,plain,
% 1.50/1.33 (((~![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))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4297,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4298,plain,
% 1.50/1.33 ((~![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)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 1.50/1.33 tff(4299,plain,
% 1.50/1.33 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4298, 625, 4295])).
% 1.50/1.33 tff(4300,plain,
% 1.50/1.33 (m_main_v_turn(s48, c_2)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4299, 4159, 4195])).
% 1.50/1.33 tff(4301,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4302,plain,
% 1.50/1.33 ((~![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)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4303,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 1.50/1.33 tff(4304,plain,
% 1.50/1.33 (~m_main_v_turn(s48, c_1)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4303, 322, 4300])).
% 1.50/1.33 tff(4305,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4306,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4307,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 1.50/1.33 tff(4308,plain,
% 1.50/1.33 (~node5(s48)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4307, 641, 4304])).
% 1.50/1.33 tff(4309,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4310,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4311,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 1.50/1.33 tff(4312,plain,
% 1.50/1.33 (~node2(s48)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4311, 652, 4236])).
% 1.50/1.33 tff(4313,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4314,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4315,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 1.50/1.33 tff(4316,plain,
% 1.50/1.33 (~node3(s48)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4315, 663, 4236])).
% 1.50/1.33 tff(4317,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4318,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4319,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 1.50/1.33 tff(4320,plain,
% 1.50/1.33 (~node4(s48)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4319, 162, 4256])).
% 1.50/1.33 tff(4321,plain,
% 1.50/1.33 (((~![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))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4322,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4323,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 1.50/1.33 tff(4324,plain,
% 1.50/1.33 (node7(s48, s49)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4323, 217, 4267])).
% 1.50/1.33 tff(4325,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4326,plain,
% 1.50/1.33 ((~![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)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4327,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 1.50/1.33 tff(4328,plain,
% 1.50/1.33 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4327, 745, 4324])).
% 1.50/1.33 tff(4329,plain,
% 1.50/1.33 (node6(s48, s49)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4328, 4320, 4244, 4316, 4312, 4308, 4291])).
% 1.50/1.33 tff(4330,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4331,plain,
% 1.50/1.33 (((~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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4332,plain,
% 1.50/1.33 (((~![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))))),
% 1.50/1.33 inference(monotonicity,[status(thm)],[4331])).
% 1.50/1.33 tff(4333,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(transitivity,[status(thm)],[4332, 4330])).
% 1.50/1.33 tff(4334,plain,
% 1.50/1.33 ((~![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)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4335,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 1.50/1.33 tff(4336,plain,
% 1.50/1.33 (~m_main_v_state1(s49, c_n1)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4335, 936, 4236, 4329])).
% 1.50/1.33 tff(4337,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4338,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4339,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 1.50/1.33 tff(4340,plain,
% 1.50/1.33 (~node2(s49)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4339, 652, 4336])).
% 1.50/1.33 tff(4341,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4342,plain,
% 1.50/1.33 (((~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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4343,plain,
% 1.50/1.33 (((~![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))))),
% 1.50/1.33 inference(monotonicity,[status(thm)],[4342])).
% 1.50/1.33 tff(4344,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(transitivity,[status(thm)],[4343, 4341])).
% 1.50/1.33 tff(4345,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4346,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 1.50/1.33 tff(4347,plain,
% 1.50/1.33 (m_main_v_state1(s49, c_t1)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4346, 760, 4232, 4329])).
% 1.50/1.33 tff(4348,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4349,plain,
% 1.50/1.33 ((~![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)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4350,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 1.50/1.33 tff(4351,plain,
% 1.50/1.33 (~m_main_v_state2(s49, c_t2)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4350, 10, 4279])).
% 1.50/1.33 tff(4352,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4353,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4354,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 1.50/1.33 tff(4355,plain,
% 1.50/1.33 (~node1(s49)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4354, 206, 4351])).
% 1.50/1.33 tff(4356,plain,
% 1.50/1.33 (succ(s49, s50) <=> succ(s49, s50)),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4357,axiom,(succ(s49, s50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound50')).
% 1.50/1.33 tff(4358,plain,
% 1.50/1.33 (succ(s49, s50)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 1.50/1.33 tff(4359,plain,
% 1.50/1.33 (((~![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))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4360,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4361,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 1.50/1.33 tff(4362,plain,
% 1.50/1.33 (trans(s49, s50)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4361, 4358, 57])).
% 1.50/1.33 tff(4363,plain,
% 1.50/1.33 (((~![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))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4364,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4365,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 1.50/1.33 tff(4366,plain,
% 1.50/1.33 (node7(s49, s50)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4365, 217, 4362])).
% 1.50/1.33 tff(4367,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4368,plain,
% 1.50/1.33 (((~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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4369,plain,
% 1.50/1.33 (((~![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))))),
% 1.50/1.33 inference(monotonicity,[status(thm)],[4368])).
% 1.50/1.33 tff(4370,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(transitivity,[status(thm)],[4369, 4367])).
% 1.50/1.33 tff(4371,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4372,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 1.50/1.33 tff(4373,plain,
% 1.50/1.33 ((~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)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4372, 965, 4366])).
% 1.50/1.33 tff(4374,plain,
% 1.50/1.33 (m_main_v_state1(s50, c_c1)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4373, 4355, 4279, 4347, 4340, 4287])).
% 1.50/1.33 tff(4375,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4376,plain,
% 1.50/1.33 ((~![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)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4377,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 1.50/1.33 tff(4378,plain,
% 1.50/1.33 (~m_main_v_state1(s50, c_t1)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4377, 289, 4374])).
% 1.50/1.33 tff(4379,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4380,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4381,plain,
% 1.50/1.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 1.50/1.33 tff(4382,plain,
% 1.50/1.33 (~node5(s50)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4381, 300, 4378])).
% 1.50/1.33 tff(4383,plain,
% 1.50/1.33 (((~![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))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4384,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4385,plain,
% 1.50/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4384, 4383])).
% 1.50/1.33 tff(4386,plain,
% 1.50/1.33 (node14(s49, s50)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4385, 130, 4362])).
% 1.50/1.33 tff(4387,plain,
% 1.50/1.33 (((~![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))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4388,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4389,plain,
% 1.50/1.33 ((~![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)),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 1.50/1.33 tff(4390,plain,
% 1.50/1.33 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4389, 893, 4386])).
% 1.50/1.33 tff(4391,plain,
% 1.50/1.33 (m_main_v_state2(s50, c_t2)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4390, 4347, 4279])).
% 1.50/1.33 tff(4392,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.33 inference(rewrite,[status(thm)],[])).
% 1.50/1.33 tff(4393,plain,
% 1.50/1.33 ((~![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)))),
% 1.50/1.33 inference(quant_inst,[status(thm)],[])).
% 1.50/1.33 tff(4394,plain,
% 1.50/1.33 ((~![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))),
% 1.50/1.33 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 1.50/1.33 tff(4395,plain,
% 1.50/1.33 (~m_main_v_state2(s50, c_n2)),
% 1.50/1.33 inference(unit_resolution,[status(thm)],[4394, 10, 4391])).
% 1.50/1.33 tff(4396,plain,
% 1.50/1.33 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4397,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4398,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 1.50/1.34 tff(4399,plain,
% 1.50/1.34 (~node4(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4398, 162, 4395])).
% 1.50/1.34 tff(4400,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4401,plain,
% 1.50/1.34 ((~![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)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4402,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 1.50/1.34 tff(4403,plain,
% 1.50/1.34 (~m_main_v_state2(s50, c_c2)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4402, 173, 4391])).
% 1.50/1.34 tff(4404,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4405,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4406,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 1.50/1.34 tff(4407,plain,
% 1.50/1.34 (~node3(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4406, 184, 4403])).
% 1.50/1.34 tff(4408,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4409,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4410,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 1.50/1.34 tff(4411,plain,
% 1.50/1.34 (~node2(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4410, 195, 4395])).
% 1.50/1.34 tff(4412,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4413,plain,
% 1.50/1.34 ((~![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)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4414,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 1.50/1.34 tff(4415,plain,
% 1.50/1.34 (~m_main_v_state1(s50, c_n1)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4414, 449, 4374])).
% 1.50/1.34 tff(4416,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4417,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4418,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 1.50/1.34 tff(4419,plain,
% 1.50/1.34 (~node1(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4418, 249, 4415])).
% 1.50/1.34 tff(4420,plain,
% 1.50/1.34 (succ(s50, s51) <=> succ(s50, s51)),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4421,axiom,(succ(s50, s51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound51')).
% 1.50/1.34 tff(4422,plain,
% 1.50/1.34 (succ(s50, s51)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 1.50/1.34 tff(4423,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4424,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4425,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 1.50/1.34 tff(4426,plain,
% 1.50/1.34 (trans(s50, s51)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4425, 4422, 57])).
% 1.50/1.34 tff(4427,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4428,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4429,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4428, 4427])).
% 1.50/1.34 tff(4430,plain,
% 1.50/1.34 (node7(s50, s51)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4429, 217, 4426])).
% 1.50/1.34 tff(4431,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4432,plain,
% 1.50/1.34 (((~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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4433,plain,
% 1.50/1.34 (((~![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))))),
% 1.50/1.34 inference(monotonicity,[status(thm)],[4432])).
% 1.50/1.34 tff(4434,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(transitivity,[status(thm)],[4433, 4431])).
% 1.50/1.34 tff(4435,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4436,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 1.50/1.34 tff(4437,plain,
% 1.50/1.34 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4436, 478, 4430])).
% 1.50/1.34 tff(4438,plain,
% 1.50/1.34 (m_main_v_state1(s51, c_n1)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4437, 4419, 4374, 4411, 4407, 4399, 4382])).
% 1.50/1.34 tff(4439,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4440,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4441,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 1.50/1.34 tff(4442,plain,
% 1.50/1.34 (~node15(s49)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4441, 21, 4351])).
% 1.50/1.34 tff(4443,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4444,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4445,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 1.50/1.34 tff(4446,plain,
% 1.50/1.34 (node18(s49, s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4445, 71, 4362])).
% 1.50/1.34 tff(4447,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4448,plain,
% 1.50/1.34 (((~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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4449,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(monotonicity,[status(thm)],[4448])).
% 1.50/1.34 tff(4450,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(transitivity,[status(thm)],[4449, 4447])).
% 1.50/1.34 tff(4451,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4452,plain,
% 1.50/1.34 ((~![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)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4451, 4450])).
% 1.50/1.34 tff(4453,plain,
% 1.50/1.34 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4452, 863, 4446])).
% 1.50/1.34 tff(4454,plain,
% 1.50/1.34 (m_main_v_turn(s50, c_1)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4453, 4442, 4279, 4347])).
% 1.50/1.34 tff(4455,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4456,plain,
% 1.50/1.34 ((~![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)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4457,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 1.50/1.34 tff(4458,plain,
% 1.50/1.34 (~m_main_v_turn(s50, c_2)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4457, 322, 4454])).
% 1.50/1.34 tff(4459,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4460,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4461,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 1.50/1.34 tff(4462,plain,
% 1.50/1.34 (~node12(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4461, 350, 4458])).
% 1.50/1.34 tff(4463,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4464,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4465,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 1.50/1.34 tff(4466,plain,
% 1.50/1.34 (~node8(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4465, 383, 4395])).
% 1.50/1.34 tff(4467,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4468,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4469,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 1.50/1.34 tff(4470,plain,
% 1.50/1.34 (~node9(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4469, 311, 4395])).
% 1.50/1.34 tff(4471,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4472,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4473,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 1.50/1.34 tff(4474,plain,
% 1.50/1.34 (~node10(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4473, 372, 4395])).
% 1.50/1.34 tff(4475,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4476,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4477,plain,
% 1.50/1.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 1.50/1.34 tff(4478,plain,
% 1.50/1.34 (~node11(s50)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4477, 361, 4415])).
% 1.50/1.34 tff(4479,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4480,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4481,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 1.50/1.34 tff(4482,plain,
% 1.50/1.34 (node14(s50, s51)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4481, 130, 4426])).
% 1.50/1.34 tff(4483,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4484,plain,
% 1.50/1.34 ((~![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)))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4485,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 1.50/1.34 tff(4486,plain,
% 1.50/1.34 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4485, 401, 4482])).
% 1.50/1.34 tff(4487,plain,
% 1.50/1.34 (node13(s50, s51)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4486, 4478, 4403, 4474, 4470, 4466, 4462])).
% 1.50/1.34 tff(4488,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4489,plain,
% 1.50/1.34 (((~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)))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4490,plain,
% 1.50/1.34 (((~![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))))),
% 1.50/1.34 inference(monotonicity,[status(thm)],[4489])).
% 1.50/1.34 tff(4491,plain,
% 1.50/1.34 (((~![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)))),
% 1.50/1.34 inference(transitivity,[status(thm)],[4490, 4488])).
% 1.50/1.34 tff(4492,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4493,plain,
% 1.50/1.34 ((~![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))),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 1.50/1.34 tff(4494,plain,
% 1.50/1.34 (m_main_v_state2(s51, c_t2)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4493, 563, 4391, 4487])).
% 1.50/1.34 tff(4495,plain,
% 1.50/1.34 (succ(s51, s52) <=> succ(s51, s52)),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4496,axiom,(succ(s51, s52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound52')).
% 1.50/1.34 tff(4497,plain,
% 1.50/1.34 (succ(s51, s52)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 1.50/1.34 tff(4498,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4499,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 1.50/1.34 inference(quant_inst,[status(thm)],[])).
% 1.50/1.34 tff(4500,plain,
% 1.50/1.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 1.50/1.34 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 1.50/1.34 tff(4501,plain,
% 1.50/1.34 (trans(s51, s52)),
% 1.50/1.34 inference(unit_resolution,[status(thm)],[4500, 4497, 57])).
% 1.50/1.34 tff(4502,plain,
% 1.50/1.34 (((~![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))),
% 1.50/1.34 inference(rewrite,[status(thm)],[])).
% 1.50/1.34 tff(4503,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4504,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 1.50/1.35 tff(4505,plain,
% 1.50/1.35 (node7(s51, s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4504, 217, 4501])).
% 1.50/1.35 tff(4506,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4507,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4508,plain,
% 1.50/1.35 ((~![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)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 1.50/1.35 tff(4509,plain,
% 1.50/1.35 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4508, 598, 4505])).
% 1.50/1.35 tff(4510,plain,
% 1.50/1.35 (m_main_v_state1(s52, c_t1)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4509, 4494, 4438])).
% 1.50/1.35 tff(4511,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4512,plain,
% 1.50/1.35 ((~![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)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4513,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 1.50/1.35 tff(4514,plain,
% 1.50/1.35 (~m_main_v_state1(s52, c_n1)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4513, 35, 4510])).
% 1.50/1.35 tff(4515,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4516,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4517,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 1.50/1.35 tff(4518,plain,
% 1.50/1.35 (~node1(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4517, 249, 4514])).
% 1.50/1.35 tff(4519,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4520,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4521,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 1.50/1.35 tff(4522,plain,
% 1.50/1.35 (node18(s51, s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4521, 71, 4501])).
% 1.50/1.35 tff(4523,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4524,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4525,plain,
% 1.50/1.35 ((~![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)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 1.50/1.35 tff(4526,plain,
% 1.50/1.35 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4525, 625, 4522])).
% 1.50/1.35 tff(4527,plain,
% 1.50/1.35 (m_main_v_turn(s52, c_2)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4526, 4494, 4438])).
% 1.50/1.35 tff(4528,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4529,plain,
% 1.50/1.35 ((~![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)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4530,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4529, 4528])).
% 1.50/1.35 tff(4531,plain,
% 1.50/1.35 (~m_main_v_turn(s52, c_1)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4530, 322, 4527])).
% 1.50/1.35 tff(4532,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4533,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4534,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4533, 4532])).
% 1.50/1.35 tff(4535,plain,
% 1.50/1.35 (~node5(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4534, 641, 4531])).
% 1.50/1.35 tff(4536,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4537,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4538,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 1.50/1.35 tff(4539,plain,
% 1.50/1.35 (~node2(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4538, 652, 4514])).
% 1.50/1.35 tff(4540,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4541,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4542,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4541, 4540])).
% 1.50/1.35 tff(4543,plain,
% 1.50/1.35 (~node3(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4542, 663, 4514])).
% 1.50/1.35 tff(4544,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4545,plain,
% 1.50/1.35 ((~![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)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4546,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4545, 4544])).
% 1.50/1.35 tff(4547,plain,
% 1.50/1.35 (~m_main_v_state1(s52, c_c1)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4546, 289, 4510])).
% 1.50/1.35 tff(4548,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4549,plain,
% 1.50/1.35 (((~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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4550,plain,
% 1.50/1.35 (((~![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))))),
% 1.50/1.35 inference(monotonicity,[status(thm)],[4549])).
% 1.50/1.35 tff(4551,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(transitivity,[status(thm)],[4550, 4548])).
% 1.50/1.35 tff(4552,plain,
% 1.50/1.35 ((~![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)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4553,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 1.50/1.35 tff(4554,plain,
% 1.50/1.35 (~m_main_v_state2(s51, c_n2)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4553, 416, 4395, 4487])).
% 1.50/1.35 tff(4555,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4556,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4557,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 1.50/1.35 tff(4558,plain,
% 1.50/1.35 (~node9(s51)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4557, 311, 4554])).
% 1.50/1.35 tff(4559,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4560,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4561,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 1.50/1.35 tff(4562,plain,
% 1.50/1.35 (~node10(s51)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4561, 372, 4554])).
% 1.50/1.35 tff(4563,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4564,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4565,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 1.50/1.35 tff(4566,plain,
% 1.50/1.35 (~node8(s51)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4565, 383, 4554])).
% 1.50/1.35 tff(4567,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4568,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4569,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 1.50/1.35 tff(4570,plain,
% 1.50/1.35 (node14(s51, s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4569, 130, 4501])).
% 1.50/1.35 tff(4571,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4572,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4573,plain,
% 1.50/1.35 ((~![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)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 1.50/1.35 tff(4574,plain,
% 1.50/1.35 ((~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)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4573, 704, 4570])).
% 1.50/1.35 tff(4575,plain,
% 1.50/1.35 (m_main_v_state2(s52, c_c2)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4574, 4566, 4438, 4494, 4562, 4558])).
% 1.50/1.35 tff(4576,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4577,plain,
% 1.50/1.35 ((~![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)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4578,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 1.50/1.35 tff(4579,plain,
% 1.50/1.35 (~m_main_v_state2(s52, c_n2)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4578, 716, 4575])).
% 1.50/1.35 tff(4580,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4581,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4582,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 1.50/1.35 tff(4583,plain,
% 1.50/1.35 (~node4(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4582, 162, 4579])).
% 1.50/1.35 tff(4584,plain,
% 1.50/1.35 (succ(s52, s53) <=> succ(s52, s53)),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4585,axiom,(succ(s52, s53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound53')).
% 1.50/1.35 tff(4586,plain,
% 1.50/1.35 (succ(s52, s53)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 1.50/1.35 tff(4587,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4588,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4589,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 1.50/1.35 tff(4590,plain,
% 1.50/1.35 (trans(s52, s53)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4589, 4586, 57])).
% 1.50/1.35 tff(4591,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4592,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4593,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 1.50/1.35 tff(4594,plain,
% 1.50/1.35 (node7(s52, s53)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4593, 217, 4590])).
% 1.50/1.35 tff(4595,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4596,plain,
% 1.50/1.35 ((~![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)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4597,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 1.50/1.35 tff(4598,plain,
% 1.50/1.35 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4597, 745, 4594])).
% 1.50/1.35 tff(4599,plain,
% 1.50/1.35 (node6(s52, s53)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4598, 4583, 4547, 4543, 4539, 4535, 4518])).
% 1.50/1.35 tff(4600,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4601,plain,
% 1.50/1.35 (((~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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4602,plain,
% 1.50/1.35 (((~![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))))),
% 1.50/1.35 inference(monotonicity,[status(thm)],[4601])).
% 1.50/1.35 tff(4603,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(transitivity,[status(thm)],[4602, 4600])).
% 1.50/1.35 tff(4604,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4605,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 1.50/1.35 tff(4606,plain,
% 1.50/1.35 (m_main_v_state1(s53, c_t1)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4605, 760, 4510, 4599])).
% 1.50/1.35 tff(4607,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4608,plain,
% 1.50/1.35 ((~![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)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4609,plain,
% 1.50/1.35 ((~![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))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 1.50/1.35 tff(4610,plain,
% 1.50/1.35 (~m_main_v_state2(s52, c_t2)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4609, 173, 4575])).
% 1.50/1.35 tff(4611,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4612,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4613,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4612, 4611])).
% 1.50/1.35 tff(4614,plain,
% 1.50/1.35 (~node12(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4613, 778, 4610])).
% 1.50/1.35 tff(4615,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4616,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4617,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 1.50/1.35 tff(4618,plain,
% 1.50/1.35 (~node11(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4617, 361, 4514])).
% 1.50/1.35 tff(4619,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4620,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4621,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 1.50/1.35 tff(4622,plain,
% 1.50/1.35 (~node10(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4621, 793, 4547])).
% 1.50/1.35 tff(4623,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4624,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4625,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 1.50/1.35 tff(4626,plain,
% 1.50/1.35 (~node9(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4625, 804, 4514])).
% 1.50/1.35 tff(4627,plain,
% 1.50/1.35 (((~![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)))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4628,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4629,plain,
% 1.50/1.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 1.50/1.35 tff(4630,plain,
% 1.50/1.35 (~node8(s52)),
% 1.50/1.35 inference(unit_resolution,[status(thm)],[4629, 383, 4579])).
% 1.50/1.35 tff(4631,plain,
% 1.50/1.35 (((~![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))),
% 1.50/1.35 inference(rewrite,[status(thm)],[])).
% 1.50/1.35 tff(4632,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 1.50/1.35 inference(quant_inst,[status(thm)],[])).
% 1.50/1.35 tff(4633,plain,
% 1.50/1.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 1.50/1.35 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 1.50/1.36 tff(4634,plain,
% 1.50/1.36 (node14(s52, s53)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4633, 130, 4590])).
% 1.50/1.36 tff(4635,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4636,plain,
% 1.50/1.36 (((~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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4637,plain,
% 1.50/1.36 (((~![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))))),
% 1.50/1.36 inference(monotonicity,[status(thm)],[4636])).
% 1.50/1.36 tff(4638,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(transitivity,[status(thm)],[4637, 4635])).
% 1.50/1.36 tff(4639,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4640,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 1.50/1.36 tff(4641,plain,
% 1.50/1.36 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4640, 826, 4634])).
% 1.50/1.36 tff(4642,plain,
% 1.50/1.36 (m_main_v_state2(s53, c_n2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4641, 4630, 4575, 4626, 4622, 4618, 4614])).
% 1.50/1.36 tff(4643,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4644,plain,
% 1.50/1.36 ((~![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)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4645,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 1.50/1.36 tff(4646,plain,
% 1.50/1.36 (~m_main_v_state2(s53, c_t2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4645, 10, 4642])).
% 1.50/1.36 tff(4647,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4648,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4649,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 1.50/1.36 tff(4650,plain,
% 1.50/1.36 (~node15(s53)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4649, 21, 4646])).
% 1.50/1.36 tff(4651,plain,
% 1.50/1.36 (succ(s53, s54) <=> succ(s53, s54)),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4652,axiom,(succ(s53, s54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound54')).
% 1.50/1.36 tff(4653,plain,
% 1.50/1.36 (succ(s53, s54)),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 1.50/1.36 tff(4654,plain,
% 1.50/1.36 (((~![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))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4655,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4656,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 1.50/1.36 tff(4657,plain,
% 1.50/1.36 (trans(s53, s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4656, 4653, 57])).
% 1.50/1.36 tff(4658,plain,
% 1.50/1.36 (((~![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))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4659,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4660,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 1.50/1.36 tff(4661,plain,
% 1.50/1.36 (node18(s53, s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4660, 71, 4657])).
% 1.50/1.36 tff(4662,plain,
% 1.50/1.36 (((~![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))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4663,plain,
% 1.50/1.36 (((~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))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4664,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(monotonicity,[status(thm)],[4663])).
% 1.50/1.36 tff(4665,plain,
% 1.50/1.36 (((~![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))),
% 1.50/1.36 inference(transitivity,[status(thm)],[4664, 4662])).
% 1.50/1.36 tff(4666,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4667,plain,
% 1.50/1.36 ((~![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)),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 1.50/1.36 tff(4668,plain,
% 1.50/1.36 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4667, 863, 4661])).
% 1.50/1.36 tff(4669,plain,
% 1.50/1.36 (m_main_v_turn(s54, c_1)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4668, 4650, 4642, 4606])).
% 1.50/1.36 tff(4670,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4671,plain,
% 1.50/1.36 ((~![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)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4672,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 1.50/1.36 tff(4673,plain,
% 1.50/1.36 (~m_main_v_turn(s54, c_2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4672, 322, 4669])).
% 1.50/1.36 tff(4674,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4675,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4676,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 1.50/1.36 tff(4677,plain,
% 1.50/1.36 (~node12(s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4676, 350, 4673])).
% 1.50/1.36 tff(4678,plain,
% 1.50/1.36 (((~![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))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4679,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4680,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 1.50/1.36 tff(4681,plain,
% 1.50/1.36 (node14(s53, s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4680, 130, 4657])).
% 1.50/1.36 tff(4682,plain,
% 1.50/1.36 (((~![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))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4683,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4684,plain,
% 1.50/1.36 ((~![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)),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 1.50/1.36 tff(4685,plain,
% 1.50/1.36 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4684, 893, 4681])).
% 1.50/1.36 tff(4686,plain,
% 1.50/1.36 (m_main_v_state2(s54, c_t2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4685, 4606, 4642])).
% 1.50/1.36 tff(4687,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4688,plain,
% 1.50/1.36 ((~![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)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4689,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 1.50/1.36 tff(4690,plain,
% 1.50/1.36 (~m_main_v_state2(s54, c_n2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4689, 10, 4686])).
% 1.50/1.36 tff(4691,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4692,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4693,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 1.50/1.36 tff(4694,plain,
% 1.50/1.36 (~node8(s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4693, 383, 4690])).
% 1.50/1.36 tff(4695,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4696,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4697,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 1.50/1.36 tff(4698,plain,
% 1.50/1.36 (~node9(s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4697, 311, 4690])).
% 1.50/1.36 tff(4699,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4700,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4701,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 1.50/1.36 tff(4702,plain,
% 1.50/1.36 (~node10(s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4701, 372, 4690])).
% 1.50/1.36 tff(4703,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4704,plain,
% 1.50/1.36 ((~![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)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4705,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 1.50/1.36 tff(4706,plain,
% 1.50/1.36 (~m_main_v_state2(s54, c_c2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4705, 173, 4686])).
% 1.50/1.36 tff(4707,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4708,plain,
% 1.50/1.36 ((~![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)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4709,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4708, 4707])).
% 1.50/1.36 tff(4710,plain,
% 1.50/1.36 (~m_main_v_state2(s53, c_c2)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4709, 716, 4642])).
% 1.50/1.36 tff(4711,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4712,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4713,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 1.50/1.36 tff(4714,plain,
% 1.50/1.36 (~node3(s53)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4713, 184, 4710])).
% 1.50/1.36 tff(4715,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4716,plain,
% 1.50/1.36 (((~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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4717,plain,
% 1.50/1.36 (((~![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))))),
% 1.50/1.36 inference(monotonicity,[status(thm)],[4716])).
% 1.50/1.36 tff(4718,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(transitivity,[status(thm)],[4717, 4715])).
% 1.50/1.36 tff(4719,plain,
% 1.50/1.36 ((~![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)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4720,plain,
% 1.50/1.36 ((~![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))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 1.50/1.36 tff(4721,plain,
% 1.50/1.36 (~m_main_v_state1(s53, c_n1)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4720, 936, 4514, 4599])).
% 1.50/1.36 tff(4722,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4723,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4724,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 1.50/1.36 tff(4725,plain,
% 1.50/1.36 (~node2(s53)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4724, 652, 4721])).
% 1.50/1.36 tff(4726,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4727,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4728,plain,
% 1.50/1.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 1.50/1.36 tff(4729,plain,
% 1.50/1.36 (~node1(s53)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4728, 206, 4646])).
% 1.50/1.36 tff(4730,plain,
% 1.50/1.36 (((~![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))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4731,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 1.50/1.36 inference(quant_inst,[status(thm)],[])).
% 1.50/1.36 tff(4732,plain,
% 1.50/1.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 1.50/1.36 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 1.50/1.36 tff(4733,plain,
% 1.50/1.36 (node7(s53, s54)),
% 1.50/1.36 inference(unit_resolution,[status(thm)],[4732, 217, 4657])).
% 1.50/1.36 tff(4734,plain,
% 1.50/1.36 (((~![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)))),
% 1.50/1.36 inference(rewrite,[status(thm)],[])).
% 1.50/1.36 tff(4735,plain,
% 1.50/1.36 (((~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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4736,plain,
% 1.50/1.37 (((~![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))))),
% 1.50/1.37 inference(monotonicity,[status(thm)],[4735])).
% 1.50/1.37 tff(4737,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(transitivity,[status(thm)],[4736, 4734])).
% 1.50/1.37 tff(4738,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4739,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 1.50/1.37 tff(4740,plain,
% 1.50/1.37 ((~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)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4739, 965, 4733])).
% 1.50/1.37 tff(4741,plain,
% 1.50/1.37 (m_main_v_state1(s54, c_c1)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4740, 4729, 4642, 4606, 4725, 4714])).
% 1.50/1.37 tff(4742,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4743,plain,
% 1.50/1.37 ((~![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)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4744,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 1.50/1.37 tff(4745,plain,
% 1.50/1.37 (~m_main_v_state1(s54, c_n1)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4744, 449, 4741])).
% 1.50/1.37 tff(4746,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4747,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4748,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 1.50/1.37 tff(4749,plain,
% 1.50/1.37 (~node11(s54)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4748, 361, 4745])).
% 1.50/1.37 tff(4750,plain,
% 1.50/1.37 (succ(s54, s55) <=> succ(s54, s55)),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4751,axiom,(succ(s54, s55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound55')).
% 1.50/1.37 tff(4752,plain,
% 1.50/1.37 (succ(s54, s55)),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 1.50/1.37 tff(4753,plain,
% 1.50/1.37 (((~![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))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4754,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4755,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 1.50/1.37 tff(4756,plain,
% 1.50/1.37 (trans(s54, s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4755, 4752, 57])).
% 1.50/1.37 tff(4757,plain,
% 1.50/1.37 (((~![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))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4758,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4759,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 1.50/1.37 tff(4760,plain,
% 1.50/1.37 (node14(s54, s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4759, 130, 4756])).
% 1.50/1.37 tff(4761,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4762,plain,
% 1.50/1.37 ((~![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)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4763,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 1.50/1.37 tff(4764,plain,
% 1.50/1.37 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4763, 401, 4760])).
% 1.50/1.37 tff(4765,plain,
% 1.50/1.37 (node13(s54, s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4764, 4749, 4706, 4702, 4698, 4694, 4677])).
% 1.50/1.37 tff(4766,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4767,plain,
% 1.50/1.37 (((~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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4768,plain,
% 1.50/1.37 (((~![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))))),
% 1.50/1.37 inference(monotonicity,[status(thm)],[4767])).
% 1.50/1.37 tff(4769,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(transitivity,[status(thm)],[4768, 4766])).
% 1.50/1.37 tff(4770,plain,
% 1.50/1.37 ((~![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)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4771,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 1.50/1.37 tff(4772,plain,
% 1.50/1.37 (~m_main_v_state2(s55, c_n2)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4771, 416, 4690, 4765])).
% 1.50/1.37 tff(4773,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4774,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4775,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 1.50/1.37 tff(4776,plain,
% 1.50/1.37 (~node9(s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4775, 311, 4772])).
% 1.50/1.37 tff(4777,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4778,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4779,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 1.50/1.37 tff(4780,plain,
% 1.50/1.37 (~node10(s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4779, 372, 4772])).
% 1.50/1.37 tff(4781,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4782,plain,
% 1.50/1.37 (((~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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4783,plain,
% 1.50/1.37 (((~![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))))),
% 1.50/1.37 inference(monotonicity,[status(thm)],[4782])).
% 1.50/1.37 tff(4784,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(transitivity,[status(thm)],[4783, 4781])).
% 1.50/1.37 tff(4785,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4786,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 1.50/1.37 tff(4787,plain,
% 1.50/1.37 (m_main_v_state2(s55, c_t2)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4786, 563, 4686, 4765])).
% 1.50/1.37 tff(4788,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4789,plain,
% 1.50/1.37 ((~![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)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4790,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 1.50/1.37 tff(4791,plain,
% 1.50/1.37 (~m_main_v_state1(s54, c_t1)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4790, 289, 4741])).
% 1.50/1.37 tff(4792,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4793,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4794,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 1.50/1.37 tff(4795,plain,
% 1.50/1.37 (~node5(s54)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4794, 300, 4791])).
% 1.50/1.37 tff(4796,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4797,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4798,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 1.50/1.37 tff(4799,plain,
% 1.50/1.37 (~node4(s54)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4798, 162, 4690])).
% 1.50/1.37 tff(4800,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4801,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4802,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4801, 4800])).
% 1.50/1.37 tff(4803,plain,
% 1.50/1.37 (~node3(s54)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4802, 184, 4706])).
% 1.50/1.37 tff(4804,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4805,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4806,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 1.50/1.37 tff(4807,plain,
% 1.50/1.37 (~node2(s54)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4806, 195, 4690])).
% 1.50/1.37 tff(4808,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4809,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4810,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 1.50/1.37 tff(4811,plain,
% 1.50/1.37 (~node1(s54)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4810, 249, 4745])).
% 1.50/1.37 tff(4812,plain,
% 1.50/1.37 (((~![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))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4813,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4814,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 1.50/1.37 tff(4815,plain,
% 1.50/1.37 (node7(s54, s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4814, 217, 4756])).
% 1.50/1.37 tff(4816,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4817,plain,
% 1.50/1.37 (((~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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4818,plain,
% 1.50/1.37 (((~![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))))),
% 1.50/1.37 inference(monotonicity,[status(thm)],[4817])).
% 1.50/1.37 tff(4819,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(transitivity,[status(thm)],[4818, 4816])).
% 1.50/1.37 tff(4820,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4821,plain,
% 1.50/1.37 ((~![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))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 1.50/1.37 tff(4822,plain,
% 1.50/1.37 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4821, 478, 4815])).
% 1.50/1.37 tff(4823,plain,
% 1.50/1.37 (m_main_v_state1(s55, c_n1)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4822, 4811, 4741, 4807, 4803, 4799, 4795])).
% 1.50/1.37 tff(4824,plain,
% 1.50/1.37 (((~![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)))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4825,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4826,plain,
% 1.50/1.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 1.50/1.37 tff(4827,plain,
% 1.50/1.37 (~node8(s55)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4826, 383, 4772])).
% 1.50/1.37 tff(4828,plain,
% 1.50/1.37 (succ(s55, s56) <=> succ(s55, s56)),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4829,axiom,(succ(s55, s56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound56')).
% 1.50/1.37 tff(4830,plain,
% 1.50/1.37 (succ(s55, s56)),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 1.50/1.37 tff(4831,plain,
% 1.50/1.37 (((~![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))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4832,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4833,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 1.50/1.37 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 1.50/1.37 tff(4834,plain,
% 1.50/1.37 (trans(s55, s56)),
% 1.50/1.37 inference(unit_resolution,[status(thm)],[4833, 4830, 57])).
% 1.50/1.37 tff(4835,plain,
% 1.50/1.37 (((~![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))),
% 1.50/1.37 inference(rewrite,[status(thm)],[])).
% 1.50/1.37 tff(4836,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 1.50/1.37 inference(quant_inst,[status(thm)],[])).
% 1.50/1.37 tff(4837,plain,
% 1.50/1.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 1.50/1.38 tff(4838,plain,
% 1.50/1.38 (node14(s55, s56)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4837, 130, 4834])).
% 1.50/1.38 tff(4839,plain,
% 1.50/1.38 (((~![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))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4840,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4841,plain,
% 1.50/1.38 ((~![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)),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 1.50/1.38 tff(4842,plain,
% 1.50/1.38 ((~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)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4841, 704, 4838])).
% 1.50/1.38 tff(4843,plain,
% 1.50/1.38 (m_main_v_state2(s56, c_c2)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4842, 4827, 4823, 4787, 4780, 4776])).
% 1.50/1.38 tff(4844,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4845,plain,
% 1.50/1.38 ((~![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)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4846,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 1.50/1.38 tff(4847,plain,
% 1.50/1.38 (~m_main_v_state2(s56, c_t2)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4846, 173, 4843])).
% 1.50/1.38 tff(4848,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4849,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4850,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 1.50/1.38 tff(4851,plain,
% 1.50/1.38 (~node12(s56)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4850, 778, 4847])).
% 1.50/1.38 tff(4852,plain,
% 1.50/1.38 (((~![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))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4853,plain,
% 1.50/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4854,plain,
% 1.50/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 1.50/1.38 tff(4855,plain,
% 1.50/1.38 (node7(s55, s56)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4854, 217, 4834])).
% 1.50/1.38 tff(4856,plain,
% 1.50/1.38 (((~![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))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4857,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4858,plain,
% 1.50/1.38 ((~![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)),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4857, 4856])).
% 1.50/1.38 tff(4859,plain,
% 1.50/1.38 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4858, 598, 4855])).
% 1.50/1.38 tff(4860,plain,
% 1.50/1.38 (m_main_v_state1(s56, c_t1)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4859, 4787, 4823])).
% 1.50/1.38 tff(4861,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4862,plain,
% 1.50/1.38 ((~![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)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4863,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 1.50/1.38 tff(4864,plain,
% 1.50/1.38 (~m_main_v_state1(s56, c_n1)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4863, 35, 4860])).
% 1.50/1.38 tff(4865,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4866,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4867,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 1.50/1.38 tff(4868,plain,
% 1.50/1.38 (~node11(s56)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4867, 361, 4864])).
% 1.50/1.38 tff(4869,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4870,plain,
% 1.50/1.38 ((~![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)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4871,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 1.50/1.38 tff(4872,plain,
% 1.50/1.38 (~m_main_v_state1(s56, c_c1)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4871, 289, 4860])).
% 1.50/1.38 tff(4873,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4874,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4875,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 1.50/1.38 tff(4876,plain,
% 1.50/1.38 (~node10(s56)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4875, 793, 4872])).
% 1.50/1.38 tff(4877,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4878,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4879,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 1.50/1.38 tff(4880,plain,
% 1.50/1.38 (~node9(s56)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4879, 804, 4864])).
% 1.50/1.38 tff(4881,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4882,plain,
% 1.50/1.38 ((~![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)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4883,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 1.50/1.38 tff(4884,plain,
% 1.50/1.38 (~m_main_v_state2(s56, c_n2)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4883, 716, 4843])).
% 1.50/1.38 tff(4885,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4886,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4887,plain,
% 1.50/1.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 1.50/1.38 tff(4888,plain,
% 1.50/1.38 (~node8(s56)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4887, 383, 4884])).
% 1.50/1.38 tff(4889,plain,
% 1.50/1.38 (succ(s56, s57) <=> succ(s56, s57)),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4890,axiom,(succ(s56, s57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound57')).
% 1.50/1.38 tff(4891,plain,
% 1.50/1.38 (succ(s56, s57)),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 1.50/1.38 tff(4892,plain,
% 1.50/1.38 (((~![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))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4893,plain,
% 1.50/1.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4894,plain,
% 1.50/1.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 1.50/1.38 tff(4895,plain,
% 1.50/1.38 (trans(s56, s57)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4894, 4891, 57])).
% 1.50/1.38 tff(4896,plain,
% 1.50/1.38 (((~![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))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4897,plain,
% 1.50/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4898,plain,
% 1.50/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 1.50/1.38 tff(4899,plain,
% 1.50/1.38 (node14(s56, s57)),
% 1.50/1.38 inference(unit_resolution,[status(thm)],[4898, 130, 4895])).
% 1.50/1.38 tff(4900,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4901,plain,
% 1.50/1.38 (((~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)))),
% 1.50/1.38 inference(rewrite,[status(thm)],[])).
% 1.50/1.38 tff(4902,plain,
% 1.50/1.38 (((~![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))))),
% 1.50/1.38 inference(monotonicity,[status(thm)],[4901])).
% 1.50/1.38 tff(4903,plain,
% 1.50/1.38 (((~![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)))),
% 1.50/1.38 inference(transitivity,[status(thm)],[4902, 4900])).
% 1.50/1.38 tff(4904,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(quant_inst,[status(thm)],[])).
% 1.50/1.38 tff(4905,plain,
% 1.50/1.38 ((~![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))),
% 1.50/1.38 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 1.50/1.38 tff(4906,plain,
% 1.50/1.38 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4905, 826, 4899])).
% 1.55/1.38 tff(4907,plain,
% 1.55/1.38 (m_main_v_state2(s57, c_n2)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4906, 4888, 4843, 4880, 4876, 4868, 4851])).
% 1.55/1.38 tff(4908,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4909,plain,
% 1.55/1.38 ((~![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)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4910,plain,
% 1.55/1.38 ((~![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))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 1.55/1.38 tff(4911,plain,
% 1.55/1.38 (~m_main_v_state2(s57, c_c2)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4910, 716, 4907])).
% 1.55/1.38 tff(4912,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4913,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4914,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 1.55/1.38 tff(4915,plain,
% 1.55/1.38 (~node3(s57)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4914, 184, 4911])).
% 1.55/1.38 tff(4916,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4917,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4918,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 1.55/1.38 tff(4919,plain,
% 1.55/1.38 (~node1(s56)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4918, 249, 4864])).
% 1.55/1.38 tff(4920,plain,
% 1.55/1.38 (((~![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))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4921,plain,
% 1.55/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4922,plain,
% 1.55/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 1.55/1.38 tff(4923,plain,
% 1.55/1.38 (node18(s55, s56)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4922, 71, 4834])).
% 1.55/1.38 tff(4924,plain,
% 1.55/1.38 (((~![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))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4925,plain,
% 1.55/1.38 ((~![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))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4926,plain,
% 1.55/1.38 ((~![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)),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 1.55/1.38 tff(4927,plain,
% 1.55/1.38 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4926, 625, 4923])).
% 1.55/1.38 tff(4928,plain,
% 1.55/1.38 (m_main_v_turn(s56, c_2)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4927, 4787, 4823])).
% 1.55/1.38 tff(4929,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4930,plain,
% 1.55/1.38 ((~![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)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4931,plain,
% 1.55/1.38 ((~![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))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 1.55/1.38 tff(4932,plain,
% 1.55/1.38 (~m_main_v_turn(s56, c_1)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4931, 322, 4928])).
% 1.55/1.38 tff(4933,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4934,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4935,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 1.55/1.38 tff(4936,plain,
% 1.55/1.38 (~node5(s56)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4935, 641, 4932])).
% 1.55/1.38 tff(4937,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4938,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4939,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 1.55/1.38 tff(4940,plain,
% 1.55/1.38 (~node2(s56)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4939, 652, 4864])).
% 1.55/1.38 tff(4941,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4942,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4943,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 1.55/1.38 tff(4944,plain,
% 1.55/1.38 (~node3(s56)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4943, 663, 4864])).
% 1.55/1.38 tff(4945,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4946,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4947,plain,
% 1.55/1.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 1.55/1.38 tff(4948,plain,
% 1.55/1.38 (~node4(s56)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4947, 162, 4884])).
% 1.55/1.38 tff(4949,plain,
% 1.55/1.38 (((~![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))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4950,plain,
% 1.55/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4951,plain,
% 1.55/1.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4950, 4949])).
% 1.55/1.38 tff(4952,plain,
% 1.55/1.38 (node7(s56, s57)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4951, 217, 4895])).
% 1.55/1.38 tff(4953,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4954,plain,
% 1.55/1.38 ((~![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)))),
% 1.55/1.38 inference(quant_inst,[status(thm)],[])).
% 1.55/1.38 tff(4955,plain,
% 1.55/1.38 ((~![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))),
% 1.55/1.38 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 1.55/1.38 tff(4956,plain,
% 1.55/1.38 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4955, 745, 4952])).
% 1.55/1.38 tff(4957,plain,
% 1.55/1.38 (node6(s56, s57)),
% 1.55/1.38 inference(unit_resolution,[status(thm)],[4956, 4948, 4872, 4944, 4940, 4936, 4919])).
% 1.55/1.38 tff(4958,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4959,plain,
% 1.55/1.38 (((~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)))),
% 1.55/1.38 inference(rewrite,[status(thm)],[])).
% 1.55/1.38 tff(4960,plain,
% 1.55/1.38 (((~![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))))),
% 1.55/1.38 inference(monotonicity,[status(thm)],[4959])).
% 1.55/1.38 tff(4961,plain,
% 1.55/1.38 (((~![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)))),
% 1.55/1.39 inference(transitivity,[status(thm)],[4960, 4958])).
% 1.55/1.39 tff(4962,plain,
% 1.55/1.39 ((~![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)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(4963,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 1.55/1.39 tff(4964,plain,
% 1.55/1.39 (~m_main_v_state1(s57, c_n1)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[4963, 936, 4864, 4957])).
% 1.55/1.39 tff(4965,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4966,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(4967,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 1.55/1.39 tff(4968,plain,
% 1.55/1.39 (~node2(s57)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[4967, 652, 4964])).
% 1.55/1.39 tff(4969,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4970,plain,
% 1.55/1.39 (((~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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4971,plain,
% 1.55/1.39 (((~![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))))),
% 1.55/1.39 inference(monotonicity,[status(thm)],[4970])).
% 1.55/1.39 tff(4972,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(transitivity,[status(thm)],[4971, 4969])).
% 1.55/1.39 tff(4973,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(4974,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 1.55/1.39 tff(4975,plain,
% 1.55/1.39 (m_main_v_state1(s57, c_t1)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[4974, 760, 4860, 4957])).
% 1.55/1.39 tff(4976,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4977,plain,
% 1.55/1.39 ((~![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)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(4978,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 1.55/1.39 tff(4979,plain,
% 1.55/1.39 (~m_main_v_state2(s57, c_t2)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[4978, 10, 4907])).
% 1.55/1.39 tff(4980,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4981,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(4982,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 1.55/1.39 tff(4983,plain,
% 1.55/1.39 (~node1(s57)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[4982, 206, 4979])).
% 1.55/1.39 tff(4984,plain,
% 1.55/1.39 (succ(s57, s58) <=> succ(s57, s58)),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4985,axiom,(succ(s57, s58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound58')).
% 1.55/1.39 tff(4986,plain,
% 1.55/1.39 (succ(s57, s58)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 1.55/1.39 tff(4987,plain,
% 1.55/1.39 (((~![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))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4988,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(4989,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 1.55/1.39 tff(4990,plain,
% 1.55/1.39 (trans(s57, s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[4989, 4986, 57])).
% 1.55/1.39 tff(4991,plain,
% 1.55/1.39 (((~![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))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4992,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(4993,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 1.55/1.39 tff(4994,plain,
% 1.55/1.39 (node7(s57, s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[4993, 217, 4990])).
% 1.55/1.39 tff(4995,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4996,plain,
% 1.55/1.39 (((~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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(4997,plain,
% 1.55/1.39 (((~![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))))),
% 1.55/1.39 inference(monotonicity,[status(thm)],[4996])).
% 1.55/1.39 tff(4998,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(transitivity,[status(thm)],[4997, 4995])).
% 1.55/1.39 tff(4999,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5000,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 1.55/1.39 tff(5001,plain,
% 1.55/1.39 ((~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)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5000, 965, 4994])).
% 1.55/1.39 tff(5002,plain,
% 1.55/1.39 (m_main_v_state1(s58, c_c1)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5001, 4983, 4907, 4975, 4968, 4915])).
% 1.55/1.39 tff(5003,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5004,plain,
% 1.55/1.39 ((~![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)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5005,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 1.55/1.39 tff(5006,plain,
% 1.55/1.39 (~m_main_v_state1(s58, c_t1)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5005, 289, 5002])).
% 1.55/1.39 tff(5007,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5008,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5009,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 1.55/1.39 tff(5010,plain,
% 1.55/1.39 (~node5(s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5009, 300, 5006])).
% 1.55/1.39 tff(5011,plain,
% 1.55/1.39 (((~![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))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5012,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5013,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5012, 5011])).
% 1.55/1.39 tff(5014,plain,
% 1.55/1.39 (node14(s57, s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5013, 130, 4990])).
% 1.55/1.39 tff(5015,plain,
% 1.55/1.39 (((~![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))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5016,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5017,plain,
% 1.55/1.39 ((~![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)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 1.55/1.39 tff(5018,plain,
% 1.55/1.39 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5017, 893, 5014])).
% 1.55/1.39 tff(5019,plain,
% 1.55/1.39 (m_main_v_state2(s58, c_t2)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5018, 4975, 4907])).
% 1.55/1.39 tff(5020,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5021,plain,
% 1.55/1.39 ((~![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)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5022,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 1.55/1.39 tff(5023,plain,
% 1.55/1.39 (~m_main_v_state2(s58, c_n2)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5022, 10, 5019])).
% 1.55/1.39 tff(5024,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5025,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5026,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 1.55/1.39 tff(5027,plain,
% 1.55/1.39 (~node4(s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5026, 162, 5023])).
% 1.55/1.39 tff(5028,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5029,plain,
% 1.55/1.39 ((~![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)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5030,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 1.55/1.39 tff(5031,plain,
% 1.55/1.39 (~m_main_v_state2(s58, c_c2)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5030, 173, 5019])).
% 1.55/1.39 tff(5032,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5033,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5034,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 1.55/1.39 tff(5035,plain,
% 1.55/1.39 (~node3(s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5034, 184, 5031])).
% 1.55/1.39 tff(5036,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5037,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5038,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 1.55/1.39 tff(5039,plain,
% 1.55/1.39 (~node2(s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5038, 195, 5023])).
% 1.55/1.39 tff(5040,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5041,plain,
% 1.55/1.39 ((~![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)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5042,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 1.55/1.39 tff(5043,plain,
% 1.55/1.39 (~m_main_v_state1(s58, c_n1)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5042, 449, 5002])).
% 1.55/1.39 tff(5044,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5045,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5046,plain,
% 1.55/1.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 1.55/1.39 tff(5047,plain,
% 1.55/1.39 (~node1(s58)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5046, 249, 5043])).
% 1.55/1.39 tff(5048,plain,
% 1.55/1.39 (succ(s58, s59) <=> succ(s58, s59)),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5049,axiom,(succ(s58, s59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound59')).
% 1.55/1.39 tff(5050,plain,
% 1.55/1.39 (succ(s58, s59)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5049, 5048])).
% 1.55/1.39 tff(5051,plain,
% 1.55/1.39 (((~![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))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5052,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5053,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 1.55/1.39 tff(5054,plain,
% 1.55/1.39 (trans(s58, s59)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5053, 5050, 57])).
% 1.55/1.39 tff(5055,plain,
% 1.55/1.39 (((~![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))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5056,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5057,plain,
% 1.55/1.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 1.55/1.39 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 1.55/1.39 tff(5058,plain,
% 1.55/1.39 (node7(s58, s59)),
% 1.55/1.39 inference(unit_resolution,[status(thm)],[5057, 217, 5054])).
% 1.55/1.39 tff(5059,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5060,plain,
% 1.55/1.39 (((~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)))),
% 1.55/1.39 inference(rewrite,[status(thm)],[])).
% 1.55/1.39 tff(5061,plain,
% 1.55/1.39 (((~![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))))),
% 1.55/1.39 inference(monotonicity,[status(thm)],[5060])).
% 1.55/1.39 tff(5062,plain,
% 1.55/1.39 (((~![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)))),
% 1.55/1.39 inference(transitivity,[status(thm)],[5061, 5059])).
% 1.55/1.39 tff(5063,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.39 inference(quant_inst,[status(thm)],[])).
% 1.55/1.39 tff(5064,plain,
% 1.55/1.39 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 1.55/1.40 tff(5065,plain,
% 1.55/1.40 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5064, 478, 5058])).
% 1.55/1.40 tff(5066,plain,
% 1.55/1.40 (m_main_v_state1(s59, c_n1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5065, 5047, 5002, 5039, 5035, 5027, 5010])).
% 1.55/1.40 tff(5067,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5068,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5069,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 1.55/1.40 tff(5070,plain,
% 1.55/1.40 (~node15(s57)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5069, 21, 4979])).
% 1.55/1.40 tff(5071,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5072,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5073,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 1.55/1.40 tff(5074,plain,
% 1.55/1.40 (node18(s57, s58)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5073, 71, 4990])).
% 1.55/1.40 tff(5075,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5076,plain,
% 1.55/1.40 (((~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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5077,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(monotonicity,[status(thm)],[5076])).
% 1.55/1.40 tff(5078,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(transitivity,[status(thm)],[5077, 5075])).
% 1.55/1.40 tff(5079,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5080,plain,
% 1.55/1.40 ((~![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)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 1.55/1.40 tff(5081,plain,
% 1.55/1.40 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5080, 863, 5074])).
% 1.55/1.40 tff(5082,plain,
% 1.55/1.40 (m_main_v_turn(s58, c_1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5081, 5070, 4907, 4975])).
% 1.55/1.40 tff(5083,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5084,plain,
% 1.55/1.40 ((~![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)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5085,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 1.55/1.40 tff(5086,plain,
% 1.55/1.40 (~m_main_v_turn(s58, c_2)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5085, 322, 5082])).
% 1.55/1.40 tff(5087,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5088,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5089,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 1.55/1.40 tff(5090,plain,
% 1.55/1.40 (~node12(s58)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5089, 350, 5086])).
% 1.55/1.40 tff(5091,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5092,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5093,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 1.55/1.40 tff(5094,plain,
% 1.55/1.40 (~node8(s58)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5093, 383, 5023])).
% 1.55/1.40 tff(5095,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5096,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5097,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 1.55/1.40 tff(5098,plain,
% 1.55/1.40 (~node9(s58)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5097, 311, 5023])).
% 1.55/1.40 tff(5099,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5100,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5101,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 1.55/1.40 tff(5102,plain,
% 1.55/1.40 (~node10(s58)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5101, 372, 5023])).
% 1.55/1.40 tff(5103,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5104,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5105,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 1.55/1.40 tff(5106,plain,
% 1.55/1.40 (~node11(s58)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5105, 361, 5043])).
% 1.55/1.40 tff(5107,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5108,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5109,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 1.55/1.40 tff(5110,plain,
% 1.55/1.40 (node14(s58, s59)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5109, 130, 5054])).
% 1.55/1.40 tff(5111,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5112,plain,
% 1.55/1.40 ((~![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)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5113,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 1.55/1.40 tff(5114,plain,
% 1.55/1.40 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5113, 401, 5110])).
% 1.55/1.40 tff(5115,plain,
% 1.55/1.40 (node13(s58, s59)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5114, 5106, 5031, 5102, 5098, 5094, 5090])).
% 1.55/1.40 tff(5116,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5117,plain,
% 1.55/1.40 (((~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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5118,plain,
% 1.55/1.40 (((~![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))))),
% 1.55/1.40 inference(monotonicity,[status(thm)],[5117])).
% 1.55/1.40 tff(5119,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(transitivity,[status(thm)],[5118, 5116])).
% 1.55/1.40 tff(5120,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5121,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 1.55/1.40 tff(5122,plain,
% 1.55/1.40 (m_main_v_state2(s59, c_t2)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5121, 563, 5019, 5115])).
% 1.55/1.40 tff(5123,plain,
% 1.55/1.40 (succ(s59, s60) <=> succ(s59, s60)),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5124,axiom,(succ(s59, s60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound60')).
% 1.55/1.40 tff(5125,plain,
% 1.55/1.40 (succ(s59, s60)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 1.55/1.40 tff(5126,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5127,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5128,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 1.55/1.40 tff(5129,plain,
% 1.55/1.40 (trans(s59, s60)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5128, 5125, 57])).
% 1.55/1.40 tff(5130,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5131,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5132,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 1.55/1.40 tff(5133,plain,
% 1.55/1.40 (node7(s59, s60)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5132, 217, 5129])).
% 1.55/1.40 tff(5134,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5135,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5136,plain,
% 1.55/1.40 ((~![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)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 1.55/1.40 tff(5137,plain,
% 1.55/1.40 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5136, 598, 5133])).
% 1.55/1.40 tff(5138,plain,
% 1.55/1.40 (m_main_v_state1(s60, c_t1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5137, 5122, 5066])).
% 1.55/1.40 tff(5139,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5140,plain,
% 1.55/1.40 ((~![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)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5141,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 1.55/1.40 tff(5142,plain,
% 1.55/1.40 (~m_main_v_state1(s60, c_n1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5141, 35, 5138])).
% 1.55/1.40 tff(5143,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5144,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5145,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 1.55/1.40 tff(5146,plain,
% 1.55/1.40 (~node1(s60)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5145, 249, 5142])).
% 1.55/1.40 tff(5147,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5148,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5149,plain,
% 1.55/1.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 1.55/1.40 tff(5150,plain,
% 1.55/1.40 (node18(s59, s60)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5149, 71, 5129])).
% 1.55/1.40 tff(5151,plain,
% 1.55/1.40 (((~![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))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5152,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5153,plain,
% 1.55/1.40 ((~![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)),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 1.55/1.40 tff(5154,plain,
% 1.55/1.40 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5153, 625, 5150])).
% 1.55/1.40 tff(5155,plain,
% 1.55/1.40 (m_main_v_turn(s60, c_2)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5154, 5122, 5066])).
% 1.55/1.40 tff(5156,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5157,plain,
% 1.55/1.40 ((~![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)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5158,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 1.55/1.40 tff(5159,plain,
% 1.55/1.40 (~m_main_v_turn(s60, c_1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5158, 322, 5155])).
% 1.55/1.40 tff(5160,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5161,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5162,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 1.55/1.40 tff(5163,plain,
% 1.55/1.40 (~node5(s60)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5162, 641, 5159])).
% 1.55/1.40 tff(5164,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5165,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5166,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 1.55/1.40 tff(5167,plain,
% 1.55/1.40 (~node2(s60)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5166, 652, 5142])).
% 1.55/1.40 tff(5168,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5169,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5170,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 1.55/1.40 tff(5171,plain,
% 1.55/1.40 (~node3(s60)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5170, 663, 5142])).
% 1.55/1.40 tff(5172,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5173,plain,
% 1.55/1.40 ((~![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)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5174,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 1.55/1.40 tff(5175,plain,
% 1.55/1.40 (~m_main_v_state1(s60, c_c1)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5174, 289, 5138])).
% 1.55/1.40 tff(5176,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5177,plain,
% 1.55/1.40 (((~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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5178,plain,
% 1.55/1.40 (((~![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))))),
% 1.55/1.40 inference(monotonicity,[status(thm)],[5177])).
% 1.55/1.40 tff(5179,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(transitivity,[status(thm)],[5178, 5176])).
% 1.55/1.40 tff(5180,plain,
% 1.55/1.40 ((~![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)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5181,plain,
% 1.55/1.40 ((~![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))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 1.55/1.40 tff(5182,plain,
% 1.55/1.40 (~m_main_v_state2(s59, c_n2)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5181, 416, 5023, 5115])).
% 1.55/1.40 tff(5183,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5184,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5185,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 1.55/1.40 tff(5186,plain,
% 1.55/1.40 (~node9(s59)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5185, 311, 5182])).
% 1.55/1.40 tff(5187,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.40 inference(rewrite,[status(thm)],[])).
% 1.55/1.40 tff(5188,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 1.55/1.40 inference(quant_inst,[status(thm)],[])).
% 1.55/1.40 tff(5189,plain,
% 1.55/1.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 1.55/1.40 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 1.55/1.40 tff(5190,plain,
% 1.55/1.40 (~node10(s59)),
% 1.55/1.40 inference(unit_resolution,[status(thm)],[5189, 372, 5182])).
% 1.55/1.40 tff(5191,plain,
% 1.55/1.40 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5192,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5193,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 1.55/1.41 tff(5194,plain,
% 1.55/1.41 (~node8(s59)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5193, 383, 5182])).
% 1.55/1.41 tff(5195,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5196,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5197,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 1.55/1.41 tff(5198,plain,
% 1.55/1.41 (node14(s59, s60)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5197, 130, 5129])).
% 1.55/1.41 tff(5199,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5200,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5201,plain,
% 1.55/1.41 ((~![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)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 1.55/1.41 tff(5202,plain,
% 1.55/1.41 ((~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)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5201, 704, 5198])).
% 1.55/1.41 tff(5203,plain,
% 1.55/1.41 (m_main_v_state2(s60, c_c2)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5202, 5194, 5066, 5122, 5190, 5186])).
% 1.55/1.41 tff(5204,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5205,plain,
% 1.55/1.41 ((~![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)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5206,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 1.55/1.41 tff(5207,plain,
% 1.55/1.41 (~m_main_v_state2(s60, c_n2)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5206, 716, 5203])).
% 1.55/1.41 tff(5208,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5209,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5210,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 1.55/1.41 tff(5211,plain,
% 1.55/1.41 (~node4(s60)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5210, 162, 5207])).
% 1.55/1.41 tff(5212,plain,
% 1.55/1.41 (succ(s60, s61) <=> succ(s60, s61)),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5213,axiom,(succ(s60, s61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound61')).
% 1.55/1.41 tff(5214,plain,
% 1.55/1.41 (succ(s60, s61)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 1.55/1.41 tff(5215,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5216,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5217,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5216, 5215])).
% 1.55/1.41 tff(5218,plain,
% 1.55/1.41 (trans(s60, s61)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5217, 5214, 57])).
% 1.55/1.41 tff(5219,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5220,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5221,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 1.55/1.41 tff(5222,plain,
% 1.55/1.41 (node7(s60, s61)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5221, 217, 5218])).
% 1.55/1.41 tff(5223,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5224,plain,
% 1.55/1.41 ((~![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)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5225,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 1.55/1.41 tff(5226,plain,
% 1.55/1.41 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5225, 745, 5222])).
% 1.55/1.41 tff(5227,plain,
% 1.55/1.41 (node6(s60, s61)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5226, 5211, 5175, 5171, 5167, 5163, 5146])).
% 1.55/1.41 tff(5228,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5229,plain,
% 1.55/1.41 (((~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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5230,plain,
% 1.55/1.41 (((~![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))))),
% 1.55/1.41 inference(monotonicity,[status(thm)],[5229])).
% 1.55/1.41 tff(5231,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(transitivity,[status(thm)],[5230, 5228])).
% 1.55/1.41 tff(5232,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5233,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 1.55/1.41 tff(5234,plain,
% 1.55/1.41 (m_main_v_state1(s61, c_t1)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5233, 760, 5138, 5227])).
% 1.55/1.41 tff(5235,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5236,plain,
% 1.55/1.41 ((~![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)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5237,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 1.55/1.41 tff(5238,plain,
% 1.55/1.41 (~m_main_v_state2(s60, c_t2)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5237, 173, 5203])).
% 1.55/1.41 tff(5239,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5240,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5241,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 1.55/1.41 tff(5242,plain,
% 1.55/1.41 (~node12(s60)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5241, 778, 5238])).
% 1.55/1.41 tff(5243,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5244,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5245,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 1.55/1.41 tff(5246,plain,
% 1.55/1.41 (~node11(s60)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5245, 361, 5142])).
% 1.55/1.41 tff(5247,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5248,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5249,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 1.55/1.41 tff(5250,plain,
% 1.55/1.41 (~node10(s60)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5249, 793, 5175])).
% 1.55/1.41 tff(5251,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5252,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5253,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 1.55/1.41 tff(5254,plain,
% 1.55/1.41 (~node9(s60)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5253, 804, 5142])).
% 1.55/1.41 tff(5255,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5256,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5257,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 1.55/1.41 tff(5258,plain,
% 1.55/1.41 (~node8(s60)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5257, 383, 5207])).
% 1.55/1.41 tff(5259,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5260,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5261,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 1.55/1.41 tff(5262,plain,
% 1.55/1.41 (node14(s60, s61)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5261, 130, 5218])).
% 1.55/1.41 tff(5263,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5264,plain,
% 1.55/1.41 (((~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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5265,plain,
% 1.55/1.41 (((~![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))))),
% 1.55/1.41 inference(monotonicity,[status(thm)],[5264])).
% 1.55/1.41 tff(5266,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(transitivity,[status(thm)],[5265, 5263])).
% 1.55/1.41 tff(5267,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5268,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 1.55/1.41 tff(5269,plain,
% 1.55/1.41 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5268, 826, 5262])).
% 1.55/1.41 tff(5270,plain,
% 1.55/1.41 (m_main_v_state2(s61, c_n2)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5269, 5258, 5203, 5254, 5250, 5246, 5242])).
% 1.55/1.41 tff(5271,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5272,plain,
% 1.55/1.41 ((~![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)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5273,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 1.55/1.41 tff(5274,plain,
% 1.55/1.41 (~m_main_v_state2(s61, c_t2)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5273, 10, 5270])).
% 1.55/1.41 tff(5275,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5276,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5277,plain,
% 1.55/1.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 1.55/1.41 tff(5278,plain,
% 1.55/1.41 (~node15(s61)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5277, 21, 5274])).
% 1.55/1.41 tff(5279,plain,
% 1.55/1.41 (succ(s61, s62) <=> succ(s61, s62)),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5280,axiom,(succ(s61, s62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound62')).
% 1.55/1.41 tff(5281,plain,
% 1.55/1.41 (succ(s61, s62)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 1.55/1.41 tff(5282,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5283,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5284,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 1.55/1.41 tff(5285,plain,
% 1.55/1.41 (trans(s61, s62)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5284, 5281, 57])).
% 1.55/1.41 tff(5286,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5287,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 1.55/1.41 inference(quant_inst,[status(thm)],[])).
% 1.55/1.41 tff(5288,plain,
% 1.55/1.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 1.55/1.41 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 1.55/1.41 tff(5289,plain,
% 1.55/1.41 (node18(s61, s62)),
% 1.55/1.41 inference(unit_resolution,[status(thm)],[5288, 71, 5285])).
% 1.55/1.41 tff(5290,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5291,plain,
% 1.55/1.41 (((~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))),
% 1.55/1.41 inference(rewrite,[status(thm)],[])).
% 1.55/1.41 tff(5292,plain,
% 1.55/1.41 (((~![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)))),
% 1.55/1.41 inference(monotonicity,[status(thm)],[5291])).
% 1.55/1.41 tff(5293,plain,
% 1.55/1.41 (((~![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))),
% 1.55/1.41 inference(transitivity,[status(thm)],[5292, 5290])).
% 1.55/1.41 tff(5294,plain,
% 1.55/1.41 ((~![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))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5295,plain,
% 1.55/1.42 ((~![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)),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 1.55/1.42 tff(5296,plain,
% 1.55/1.42 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5295, 863, 5289])).
% 1.55/1.42 tff(5297,plain,
% 1.55/1.42 (m_main_v_turn(s62, c_1)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5296, 5278, 5270, 5234])).
% 1.55/1.42 tff(5298,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5299,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5300,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 1.55/1.42 tff(5301,plain,
% 1.55/1.42 (~m_main_v_turn(s62, c_2)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5300, 322, 5297])).
% 1.55/1.42 tff(5302,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5303,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5304,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 1.55/1.42 tff(5305,plain,
% 1.55/1.42 (~node12(s62)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5304, 350, 5301])).
% 1.55/1.42 tff(5306,plain,
% 1.55/1.42 (((~![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))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5307,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5308,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 1.55/1.42 tff(5309,plain,
% 1.55/1.42 (node14(s61, s62)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5308, 130, 5285])).
% 1.55/1.42 tff(5310,plain,
% 1.55/1.42 (((~![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))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5311,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5312,plain,
% 1.55/1.42 ((~![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)),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 1.55/1.42 tff(5313,plain,
% 1.55/1.42 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5312, 893, 5309])).
% 1.55/1.42 tff(5314,plain,
% 1.55/1.42 (m_main_v_state2(s62, c_t2)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5313, 5234, 5270])).
% 1.55/1.42 tff(5315,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5316,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5317,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 1.55/1.42 tff(5318,plain,
% 1.55/1.42 (~m_main_v_state2(s62, c_n2)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5317, 10, 5314])).
% 1.55/1.42 tff(5319,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5320,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5321,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 1.55/1.42 tff(5322,plain,
% 1.55/1.42 (~node8(s62)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5321, 383, 5318])).
% 1.55/1.42 tff(5323,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5324,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5325,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 1.55/1.42 tff(5326,plain,
% 1.55/1.42 (~node9(s62)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5325, 311, 5318])).
% 1.55/1.42 tff(5327,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5328,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5329,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 1.55/1.42 tff(5330,plain,
% 1.55/1.42 (~node10(s62)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5329, 372, 5318])).
% 1.55/1.42 tff(5331,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5332,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5333,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 1.55/1.42 tff(5334,plain,
% 1.55/1.42 (~m_main_v_state2(s62, c_c2)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5333, 173, 5314])).
% 1.55/1.42 tff(5335,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5336,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5337,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 1.55/1.42 tff(5338,plain,
% 1.55/1.42 (~m_main_v_state2(s61, c_c2)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5337, 716, 5270])).
% 1.55/1.42 tff(5339,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5340,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5341,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 1.55/1.42 tff(5342,plain,
% 1.55/1.42 (~node3(s61)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5341, 184, 5338])).
% 1.55/1.42 tff(5343,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5344,plain,
% 1.55/1.42 (((~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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5345,plain,
% 1.55/1.42 (((~![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))))),
% 1.55/1.42 inference(monotonicity,[status(thm)],[5344])).
% 1.55/1.42 tff(5346,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(transitivity,[status(thm)],[5345, 5343])).
% 1.55/1.42 tff(5347,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5348,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 1.55/1.42 tff(5349,plain,
% 1.55/1.42 (~m_main_v_state1(s61, c_n1)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5348, 936, 5142, 5227])).
% 1.55/1.42 tff(5350,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5351,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5352,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 1.55/1.42 tff(5353,plain,
% 1.55/1.42 (~node2(s61)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5352, 652, 5349])).
% 1.55/1.42 tff(5354,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5355,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5356,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 1.55/1.42 tff(5357,plain,
% 1.55/1.42 (~node1(s61)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5356, 206, 5274])).
% 1.55/1.42 tff(5358,plain,
% 1.55/1.42 (((~![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))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5359,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5360,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 1.55/1.42 tff(5361,plain,
% 1.55/1.42 (node7(s61, s62)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5360, 217, 5285])).
% 1.55/1.42 tff(5362,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5363,plain,
% 1.55/1.42 (((~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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5364,plain,
% 1.55/1.42 (((~![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))))),
% 1.55/1.42 inference(monotonicity,[status(thm)],[5363])).
% 1.55/1.42 tff(5365,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(transitivity,[status(thm)],[5364, 5362])).
% 1.55/1.42 tff(5366,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5367,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 1.55/1.42 tff(5368,plain,
% 1.55/1.42 ((~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)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5367, 965, 5361])).
% 1.55/1.42 tff(5369,plain,
% 1.55/1.42 (m_main_v_state1(s62, c_c1)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5368, 5357, 5270, 5234, 5353, 5342])).
% 1.55/1.42 tff(5370,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5371,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5372,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 1.55/1.42 tff(5373,plain,
% 1.55/1.42 (~m_main_v_state1(s62, c_n1)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5372, 449, 5369])).
% 1.55/1.42 tff(5374,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5375,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5376,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 1.55/1.42 tff(5377,plain,
% 1.55/1.42 (~node11(s62)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5376, 361, 5373])).
% 1.55/1.42 tff(5378,plain,
% 1.55/1.42 (succ(s62, s63) <=> succ(s62, s63)),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5379,axiom,(succ(s62, s63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound63')).
% 1.55/1.42 tff(5380,plain,
% 1.55/1.42 (succ(s62, s63)),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 1.55/1.42 tff(5381,plain,
% 1.55/1.42 (((~![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))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5382,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5383,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 1.55/1.42 tff(5384,plain,
% 1.55/1.42 (trans(s62, s63)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5383, 5380, 57])).
% 1.55/1.42 tff(5385,plain,
% 1.55/1.42 (((~![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))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5386,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5387,plain,
% 1.55/1.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 1.55/1.42 tff(5388,plain,
% 1.55/1.42 (node14(s62, s63)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5387, 130, 5384])).
% 1.55/1.42 tff(5389,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5390,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5391,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 1.55/1.42 tff(5392,plain,
% 1.55/1.42 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5391, 401, 5388])).
% 1.55/1.42 tff(5393,plain,
% 1.55/1.42 (node13(s62, s63)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5392, 5377, 5334, 5330, 5326, 5322, 5305])).
% 1.55/1.42 tff(5394,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5395,plain,
% 1.55/1.42 (((~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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5396,plain,
% 1.55/1.42 (((~![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))))),
% 1.55/1.42 inference(monotonicity,[status(thm)],[5395])).
% 1.55/1.42 tff(5397,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(transitivity,[status(thm)],[5396, 5394])).
% 1.55/1.42 tff(5398,plain,
% 1.55/1.42 ((~![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)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5399,plain,
% 1.55/1.42 ((~![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))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 1.55/1.42 tff(5400,plain,
% 1.55/1.42 (~m_main_v_state2(s63, c_n2)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5399, 416, 5318, 5393])).
% 1.55/1.42 tff(5401,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5402,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5403,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 1.55/1.42 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 1.55/1.42 tff(5404,plain,
% 1.55/1.42 (~node9(s63)),
% 1.55/1.42 inference(unit_resolution,[status(thm)],[5403, 311, 5400])).
% 1.55/1.42 tff(5405,plain,
% 1.55/1.42 (((~![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)))),
% 1.55/1.42 inference(rewrite,[status(thm)],[])).
% 1.55/1.42 tff(5406,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 1.55/1.42 inference(quant_inst,[status(thm)],[])).
% 1.55/1.42 tff(5407,plain,
% 1.55/1.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 1.55/1.43 tff(5408,plain,
% 1.55/1.43 (~node10(s63)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5407, 372, 5400])).
% 1.55/1.43 tff(5409,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5410,plain,
% 1.55/1.43 (((~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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5411,plain,
% 1.55/1.43 (((~![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))))),
% 1.55/1.43 inference(monotonicity,[status(thm)],[5410])).
% 1.55/1.43 tff(5412,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(transitivity,[status(thm)],[5411, 5409])).
% 1.55/1.43 tff(5413,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5414,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 1.55/1.43 tff(5415,plain,
% 1.55/1.43 (m_main_v_state2(s63, c_t2)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5414, 563, 5314, 5393])).
% 1.55/1.43 tff(5416,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5417,plain,
% 1.55/1.43 ((~![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)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5418,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 1.55/1.43 tff(5419,plain,
% 1.55/1.43 (~m_main_v_state1(s62, c_t1)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5418, 289, 5369])).
% 1.55/1.43 tff(5420,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5421,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5422,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 1.55/1.43 tff(5423,plain,
% 1.55/1.43 (~node5(s62)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5422, 300, 5419])).
% 1.55/1.43 tff(5424,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5425,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5426,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5425, 5424])).
% 1.55/1.43 tff(5427,plain,
% 1.55/1.43 (~node4(s62)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5426, 162, 5318])).
% 1.55/1.43 tff(5428,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5429,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5430,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5429, 5428])).
% 1.55/1.43 tff(5431,plain,
% 1.55/1.43 (~node3(s62)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5430, 184, 5334])).
% 1.55/1.43 tff(5432,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5433,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5434,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 1.55/1.43 tff(5435,plain,
% 1.55/1.43 (~node2(s62)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5434, 195, 5318])).
% 1.55/1.43 tff(5436,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5437,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5438,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 1.55/1.43 tff(5439,plain,
% 1.55/1.43 (~node1(s62)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5438, 249, 5373])).
% 1.55/1.43 tff(5440,plain,
% 1.55/1.43 (((~![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))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5441,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5442,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 1.55/1.43 tff(5443,plain,
% 1.55/1.43 (node7(s62, s63)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5442, 217, 5384])).
% 1.55/1.43 tff(5444,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5445,plain,
% 1.55/1.43 (((~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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5446,plain,
% 1.55/1.43 (((~![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))))),
% 1.55/1.43 inference(monotonicity,[status(thm)],[5445])).
% 1.55/1.43 tff(5447,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(transitivity,[status(thm)],[5446, 5444])).
% 1.55/1.43 tff(5448,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5449,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 1.55/1.43 tff(5450,plain,
% 1.55/1.43 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5449, 478, 5443])).
% 1.55/1.43 tff(5451,plain,
% 1.55/1.43 (m_main_v_state1(s63, c_n1)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5450, 5439, 5369, 5435, 5431, 5427, 5423])).
% 1.55/1.43 tff(5452,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5453,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5454,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 1.55/1.43 tff(5455,plain,
% 1.55/1.43 (~node8(s63)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5454, 383, 5400])).
% 1.55/1.43 tff(5456,plain,
% 1.55/1.43 (succ(s63, s64) <=> succ(s63, s64)),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5457,axiom,(succ(s63, s64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound64')).
% 1.55/1.43 tff(5458,plain,
% 1.55/1.43 (succ(s63, s64)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 1.55/1.43 tff(5459,plain,
% 1.55/1.43 (((~![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))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5460,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5461,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 1.55/1.43 tff(5462,plain,
% 1.55/1.43 (trans(s63, s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5461, 5458, 57])).
% 1.55/1.43 tff(5463,plain,
% 1.55/1.43 (((~![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))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5464,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5465,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 1.55/1.43 tff(5466,plain,
% 1.55/1.43 (node14(s63, s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5465, 130, 5462])).
% 1.55/1.43 tff(5467,plain,
% 1.55/1.43 (((~![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))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5468,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5469,plain,
% 1.55/1.43 ((~![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)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 1.55/1.43 tff(5470,plain,
% 1.55/1.43 ((~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)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5469, 704, 5466])).
% 1.55/1.43 tff(5471,plain,
% 1.55/1.43 (m_main_v_state2(s64, c_c2)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5470, 5455, 5451, 5415, 5408, 5404])).
% 1.55/1.43 tff(5472,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5473,plain,
% 1.55/1.43 ((~![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)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5474,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 1.55/1.43 tff(5475,plain,
% 1.55/1.43 (~m_main_v_state2(s64, c_t2)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5474, 173, 5471])).
% 1.55/1.43 tff(5476,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5477,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5478,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 1.55/1.43 tff(5479,plain,
% 1.55/1.43 (~node12(s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5478, 778, 5475])).
% 1.55/1.43 tff(5480,plain,
% 1.55/1.43 (((~![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))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5481,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5482,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5481, 5480])).
% 1.55/1.43 tff(5483,plain,
% 1.55/1.43 (node7(s63, s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5482, 217, 5462])).
% 1.55/1.43 tff(5484,plain,
% 1.55/1.43 (((~![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))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5485,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5486,plain,
% 1.55/1.43 ((~![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)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5485, 5484])).
% 1.55/1.43 tff(5487,plain,
% 1.55/1.43 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_state1(s64, c_t1)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5486, 598, 5483])).
% 1.55/1.43 tff(5488,plain,
% 1.55/1.43 (m_main_v_state1(s64, c_t1)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5487, 5415, 5451])).
% 1.55/1.43 tff(5489,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5490,plain,
% 1.55/1.43 ((~![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)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5491,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 1.55/1.43 tff(5492,plain,
% 1.55/1.43 (~m_main_v_state1(s64, c_n1)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5491, 35, 5488])).
% 1.55/1.43 tff(5493,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5494,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5495,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 1.55/1.43 tff(5496,plain,
% 1.55/1.43 (~node11(s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5495, 361, 5492])).
% 1.55/1.43 tff(5497,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5498,plain,
% 1.55/1.43 ((~![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)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5499,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 1.55/1.43 tff(5500,plain,
% 1.55/1.43 (~m_main_v_state1(s64, c_c1)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5499, 289, 5488])).
% 1.55/1.43 tff(5501,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5502,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5503,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 1.55/1.43 tff(5504,plain,
% 1.55/1.43 (~node10(s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5503, 793, 5500])).
% 1.55/1.43 tff(5505,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5506,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5507,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 1.55/1.43 tff(5508,plain,
% 1.55/1.43 (~node9(s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5507, 804, 5492])).
% 1.55/1.43 tff(5509,plain,
% 1.55/1.43 (((~![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_n2)) | (~m_main_v_state2(s64, c_c2)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5510,plain,
% 1.55/1.43 ((~![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)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5511,plain,
% 1.55/1.43 ((~![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))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 1.55/1.43 tff(5512,plain,
% 1.55/1.43 (~m_main_v_state2(s64, c_n2)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5511, 716, 5471])).
% 1.55/1.43 tff(5513,plain,
% 1.55/1.43 (((~![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)))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5514,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5515,plain,
% 1.55/1.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64))),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 1.55/1.43 tff(5516,plain,
% 1.55/1.43 (~node8(s64)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5515, 383, 5512])).
% 1.55/1.43 tff(5517,plain,
% 1.55/1.43 (succ(s64, s65) <=> succ(s64, s65)),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5518,axiom,(succ(s64, s65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound65')).
% 1.55/1.43 tff(5519,plain,
% 1.55/1.43 (succ(s64, s65)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5518, 5517])).
% 1.55/1.43 tff(5520,plain,
% 1.55/1.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5521,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5522,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 1.55/1.43 tff(5523,plain,
% 1.55/1.43 (trans(s64, s65)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5522, 5519, 57])).
% 1.55/1.43 tff(5524,plain,
% 1.55/1.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65))),
% 1.55/1.43 inference(rewrite,[status(thm)],[])).
% 1.55/1.43 tff(5525,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))),
% 1.55/1.43 inference(quant_inst,[status(thm)],[])).
% 1.55/1.43 tff(5526,plain,
% 1.55/1.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65)),
% 1.55/1.43 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 1.55/1.43 tff(5527,plain,
% 1.55/1.43 (node14(s64, s65)),
% 1.55/1.43 inference(unit_resolution,[status(thm)],[5526, 130, 5523])).
% 1.55/1.43 tff(5528,plain,
% 1.55/1.43 (((~![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(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, 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(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5529,plain,
% 1.55/1.44 (((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2)) <=> (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5530,plain,
% 1.55/1.44 (((~![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, s65)) | m_main_v_state2(s65, 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(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))))),
% 1.55/1.44 inference(monotonicity,[status(thm)],[5529])).
% 1.55/1.44 tff(5531,plain,
% 1.55/1.44 (((~![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, s65)) | m_main_v_state2(s65, 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(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 1.55/1.44 inference(transitivity,[status(thm)],[5530, 5528])).
% 1.55/1.44 tff(5532,plain,
% 1.55/1.44 ((~![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, s65)) | m_main_v_state2(s65, c_n2))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5533,plain,
% 1.55/1.44 ((~![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(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 1.55/1.44 tff(5534,plain,
% 1.55/1.44 (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~m_main_v_state2(s64, c_c2))),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5533, 826, 5527])).
% 1.55/1.44 tff(5535,plain,
% 1.55/1.44 (m_main_v_state2(s65, c_n2)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5534, 5516, 5471, 5508, 5504, 5496, 5479])).
% 1.55/1.44 tff(5536,plain,
% 1.55/1.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5537,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5538,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5537, 5536])).
% 1.55/1.44 tff(5539,plain,
% 1.55/1.44 (~m_main_v_state2(s65, c_c2)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5538, 716, 5535])).
% 1.55/1.44 tff(5540,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5541,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5542,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 1.55/1.44 tff(5543,plain,
% 1.55/1.44 (~node3(s65)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5542, 184, 5539])).
% 1.55/1.44 tff(5544,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5545,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5546,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5545, 5544])).
% 1.55/1.44 tff(5547,plain,
% 1.55/1.44 (~node1(s64)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5546, 249, 5492])).
% 1.55/1.44 tff(5548,plain,
% 1.55/1.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5549,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5550,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64)),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 1.55/1.44 tff(5551,plain,
% 1.55/1.44 (node18(s63, s64)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5550, 71, 5462])).
% 1.55/1.44 tff(5552,plain,
% 1.55/1.44 (((~![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(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, 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(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5553,plain,
% 1.55/1.44 ((~![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(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5554,plain,
% 1.55/1.44 ((~![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(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2)),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 1.55/1.44 tff(5555,plain,
% 1.55/1.44 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_turn(s64, c_2)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5554, 625, 5551])).
% 1.55/1.44 tff(5556,plain,
% 1.55/1.44 (m_main_v_turn(s64, c_2)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5555, 5415, 5451])).
% 1.55/1.44 tff(5557,plain,
% 1.55/1.44 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5558,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5559,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 1.55/1.44 tff(5560,plain,
% 1.55/1.44 (~m_main_v_turn(s64, c_1)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5559, 322, 5556])).
% 1.55/1.44 tff(5561,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5562,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5563,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 1.55/1.44 tff(5564,plain,
% 1.55/1.44 (~node5(s64)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5563, 641, 5560])).
% 1.55/1.44 tff(5565,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5566,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5567,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 1.55/1.44 tff(5568,plain,
% 1.55/1.44 (~node2(s64)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5567, 652, 5492])).
% 1.55/1.44 tff(5569,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5570,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5571,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 1.55/1.44 tff(5572,plain,
% 1.55/1.44 (~node3(s64)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5571, 663, 5492])).
% 1.55/1.44 tff(5573,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5574,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5575,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 1.55/1.44 tff(5576,plain,
% 1.55/1.44 (~node4(s64)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5575, 162, 5512])).
% 1.55/1.44 tff(5577,plain,
% 1.55/1.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5578,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5579,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65)),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5578, 5577])).
% 1.55/1.44 tff(5580,plain,
% 1.55/1.44 (node7(s64, s65)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5579, 217, 5523])).
% 1.55/1.44 tff(5581,plain,
% 1.55/1.44 (((~![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(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))) <=> ((~![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(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5582,plain,
% 1.55/1.44 ((~![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(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5583,plain,
% 1.55/1.44 ((~![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(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5582, 5581])).
% 1.55/1.44 tff(5584,plain,
% 1.55/1.44 (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5583, 745, 5580])).
% 1.55/1.44 tff(5585,plain,
% 1.55/1.44 (node6(s64, s65)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5584, 5576, 5500, 5572, 5568, 5564, 5547])).
% 1.55/1.44 tff(5586,plain,
% 1.55/1.44 (((~![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(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))) <=> ((~![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(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5587,plain,
% 1.55/1.44 (((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1))) <=> (m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5588,plain,
% 1.55/1.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, 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(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))))),
% 1.55/1.44 inference(monotonicity,[status(thm)],[5587])).
% 1.55/1.44 tff(5589,plain,
% 1.55/1.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, 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(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 1.55/1.44 inference(transitivity,[status(thm)],[5588, 5586])).
% 1.55/1.44 tff(5590,plain,
% 1.55/1.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5591,plain,
% 1.55/1.44 ((~![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(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 1.55/1.44 tff(5592,plain,
% 1.55/1.44 (~m_main_v_state1(s65, c_n1)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5591, 936, 5492, 5585])).
% 1.55/1.44 tff(5593,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5594,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5595,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 1.55/1.44 tff(5596,plain,
% 1.55/1.44 (~node2(s65)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5595, 652, 5592])).
% 1.55/1.44 tff(5597,plain,
% 1.55/1.44 (((~![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(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))) <=> ((~![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(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5598,plain,
% 1.55/1.44 (((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1)) <=> ((~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5599,plain,
% 1.55/1.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, 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(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))))),
% 1.55/1.44 inference(monotonicity,[status(thm)],[5598])).
% 1.55/1.44 tff(5600,plain,
% 1.55/1.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, 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(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 1.55/1.44 inference(transitivity,[status(thm)],[5599, 5597])).
% 1.55/1.44 tff(5601,plain,
% 1.55/1.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5602,plain,
% 1.55/1.44 ((~![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(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 1.55/1.44 tff(5603,plain,
% 1.55/1.44 (m_main_v_state1(s65, c_t1)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5602, 760, 5488, 5585])).
% 1.55/1.44 tff(5604,plain,
% 1.55/1.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5605,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5606,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 1.55/1.44 tff(5607,plain,
% 1.55/1.44 (~m_main_v_state2(s65, c_t2)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5606, 10, 5535])).
% 1.55/1.44 tff(5608,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5609,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5610,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5609, 5608])).
% 1.55/1.44 tff(5611,plain,
% 1.55/1.44 (~node1(s65)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5610, 206, 5607])).
% 1.55/1.44 tff(5612,plain,
% 1.55/1.44 (succ(s65, s66) <=> succ(s65, s66)),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5613,axiom,(succ(s65, s66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound66')).
% 1.55/1.44 tff(5614,plain,
% 1.55/1.44 (succ(s65, s66)),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 1.55/1.44 tff(5615,plain,
% 1.55/1.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5616,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5617,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 1.55/1.44 tff(5618,plain,
% 1.55/1.44 (trans(s65, s66)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5617, 5614, 57])).
% 1.55/1.44 tff(5619,plain,
% 1.55/1.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5620,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5621,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66)),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 1.55/1.44 tff(5622,plain,
% 1.55/1.44 (node7(s65, s66)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5621, 217, 5618])).
% 1.55/1.44 tff(5623,plain,
% 1.55/1.44 (((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))) <=> ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5624,plain,
% 1.55/1.44 (((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1)) <=> ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5625,plain,
% 1.55/1.44 (((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, 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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66))))),
% 1.55/1.44 inference(monotonicity,[status(thm)],[5624])).
% 1.55/1.44 tff(5626,plain,
% 1.55/1.44 (((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, 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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 1.55/1.44 inference(transitivity,[status(thm)],[5625, 5623])).
% 1.55/1.44 tff(5627,plain,
% 1.55/1.44 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5628,plain,
% 1.55/1.44 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 1.55/1.44 tff(5629,plain,
% 1.55/1.44 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5628, 965, 5622])).
% 1.55/1.44 tff(5630,plain,
% 1.55/1.44 (m_main_v_state1(s66, c_c1)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5629, 5611, 5535, 5603, 5596, 5543])).
% 1.55/1.44 tff(5631,plain,
% 1.55/1.44 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5632,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5633,plain,
% 1.55/1.44 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5632, 5631])).
% 1.55/1.44 tff(5634,plain,
% 1.55/1.44 (~m_main_v_state1(s66, c_t1)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5633, 289, 5630])).
% 1.55/1.44 tff(5635,plain,
% 1.55/1.44 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5636,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5637,plain,
% 1.55/1.44 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66))),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 1.55/1.44 tff(5638,plain,
% 1.55/1.44 (~node5(s66)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5637, 300, 5634])).
% 1.55/1.44 tff(5639,plain,
% 1.55/1.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66))),
% 1.55/1.44 inference(rewrite,[status(thm)],[])).
% 1.55/1.44 tff(5640,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))),
% 1.55/1.44 inference(quant_inst,[status(thm)],[])).
% 1.55/1.44 tff(5641,plain,
% 1.55/1.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66)),
% 1.55/1.44 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 1.55/1.44 tff(5642,plain,
% 1.55/1.44 (node14(s65, s66)),
% 1.55/1.44 inference(unit_resolution,[status(thm)],[5641, 130, 5618])).
% 1.55/1.44 tff(5643,plain,
% 1.55/1.44 (((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, 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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5644,plain,
% 1.55/1.45 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5645,plain,
% 1.55/1.45 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2)),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 1.55/1.45 tff(5646,plain,
% 1.55/1.45 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state2(s66, c_t2)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5645, 893, 5642])).
% 1.55/1.45 tff(5647,plain,
% 1.55/1.45 (m_main_v_state2(s66, c_t2)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5646, 5603, 5535])).
% 1.55/1.45 tff(5648,plain,
% 1.55/1.45 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5649,plain,
% 1.55/1.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5650,plain,
% 1.55/1.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 1.55/1.45 tff(5651,plain,
% 1.55/1.45 (~m_main_v_state2(s66, c_n2)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5650, 10, 5647])).
% 1.55/1.45 tff(5652,plain,
% 1.55/1.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5653,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5654,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5653, 5652])).
% 1.55/1.45 tff(5655,plain,
% 1.55/1.45 (~node4(s66)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5654, 162, 5651])).
% 1.55/1.45 tff(5656,plain,
% 1.55/1.45 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5657,plain,
% 1.55/1.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5658,plain,
% 1.55/1.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5657, 5656])).
% 1.55/1.45 tff(5659,plain,
% 1.55/1.45 (~m_main_v_state2(s66, c_c2)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5658, 173, 5647])).
% 1.55/1.45 tff(5660,plain,
% 1.55/1.45 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5661,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5662,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 1.55/1.45 tff(5663,plain,
% 1.55/1.45 (~node3(s66)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5662, 184, 5659])).
% 1.55/1.45 tff(5664,plain,
% 1.55/1.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5665,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5666,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 1.55/1.45 tff(5667,plain,
% 1.55/1.45 (~node2(s66)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5666, 195, 5651])).
% 1.55/1.45 tff(5668,plain,
% 1.55/1.45 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5669,plain,
% 1.55/1.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5670,plain,
% 1.55/1.45 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 1.55/1.45 tff(5671,plain,
% 1.55/1.45 (~m_main_v_state1(s66, c_n1)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5670, 449, 5630])).
% 1.55/1.45 tff(5672,plain,
% 1.55/1.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5673,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5674,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 1.55/1.45 tff(5675,plain,
% 1.55/1.45 (~node1(s66)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5674, 249, 5671])).
% 1.55/1.45 tff(5676,plain,
% 1.55/1.45 (succ(s66, s67) <=> succ(s66, s67)),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5677,axiom,(succ(s66, s67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound67')).
% 1.55/1.45 tff(5678,plain,
% 1.55/1.45 (succ(s66, s67)),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5677, 5676])).
% 1.55/1.45 tff(5679,plain,
% 1.55/1.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5680,plain,
% 1.55/1.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5681,plain,
% 1.55/1.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 1.55/1.45 tff(5682,plain,
% 1.55/1.45 (trans(s66, s67)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5681, 5678, 57])).
% 1.55/1.45 tff(5683,plain,
% 1.55/1.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5684,plain,
% 1.55/1.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5685,plain,
% 1.55/1.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67)),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5684, 5683])).
% 1.55/1.45 tff(5686,plain,
% 1.55/1.45 (node7(s66, s67)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5685, 217, 5682])).
% 1.55/1.45 tff(5687,plain,
% 1.55/1.45 (((~![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(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))) <=> ((~![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(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5688,plain,
% 1.55/1.45 (((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1)) <=> (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5689,plain,
% 1.55/1.45 (((~![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(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, 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(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))))),
% 1.55/1.45 inference(monotonicity,[status(thm)],[5688])).
% 1.55/1.45 tff(5690,plain,
% 1.55/1.45 (((~![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(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, 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(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 1.55/1.45 inference(transitivity,[status(thm)],[5689, 5687])).
% 1.55/1.45 tff(5691,plain,
% 1.55/1.45 ((~![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(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5692,plain,
% 1.55/1.45 ((~![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(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 1.55/1.45 tff(5693,plain,
% 1.55/1.45 (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5692, 478, 5686])).
% 1.55/1.45 tff(5694,plain,
% 1.55/1.45 (m_main_v_state1(s67, c_n1)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5693, 5675, 5630, 5667, 5663, 5655, 5638])).
% 1.55/1.45 tff(5695,plain,
% 1.55/1.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5696,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5697,plain,
% 1.55/1.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65))),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 1.55/1.45 tff(5698,plain,
% 1.55/1.45 (~node15(s65)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5697, 21, 5607])).
% 1.55/1.45 tff(5699,plain,
% 1.55/1.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66))),
% 1.55/1.45 inference(rewrite,[status(thm)],[])).
% 1.55/1.45 tff(5700,plain,
% 1.55/1.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))),
% 1.55/1.45 inference(quant_inst,[status(thm)],[])).
% 1.55/1.45 tff(5701,plain,
% 1.55/1.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66)),
% 1.55/1.45 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 1.55/1.45 tff(5702,plain,
% 1.55/1.45 (node18(s65, s66)),
% 1.55/1.45 inference(unit_resolution,[status(thm)],[5701, 71, 5618])).
% 1.55/1.45 tff(5703,plain,
% 1.55/1.45 (((~![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(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, 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(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5704,plain,
% 1.62/1.45 (((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1)) <=> (node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5705,plain,
% 1.62/1.45 (((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, 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(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)))),
% 1.62/1.45 inference(monotonicity,[status(thm)],[5704])).
% 1.62/1.45 tff(5706,plain,
% 1.62/1.45 (((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, 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(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 1.62/1.45 inference(transitivity,[status(thm)],[5705, 5703])).
% 1.62/1.45 tff(5707,plain,
% 1.62/1.45 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5708,plain,
% 1.62/1.45 ((~![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(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 1.62/1.45 tff(5709,plain,
% 1.62/1.45 (node15(s65) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5708, 863, 5702])).
% 1.62/1.45 tff(5710,plain,
% 1.62/1.45 (m_main_v_turn(s66, c_1)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5709, 5698, 5535, 5603])).
% 1.62/1.45 tff(5711,plain,
% 1.62/1.45 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5712,plain,
% 1.62/1.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5713,plain,
% 1.62/1.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2))),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 1.62/1.45 tff(5714,plain,
% 1.62/1.45 (~m_main_v_turn(s66, c_2)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5713, 322, 5710])).
% 1.62/1.45 tff(5715,plain,
% 1.62/1.45 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5716,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5717,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66))),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 1.62/1.45 tff(5718,plain,
% 1.62/1.45 (~node12(s66)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5717, 350, 5714])).
% 1.62/1.45 tff(5719,plain,
% 1.62/1.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5720,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5721,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66))),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 1.62/1.45 tff(5722,plain,
% 1.62/1.45 (~node8(s66)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5721, 383, 5651])).
% 1.62/1.45 tff(5723,plain,
% 1.62/1.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5724,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5725,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66))),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 1.62/1.45 tff(5726,plain,
% 1.62/1.45 (~node9(s66)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5725, 311, 5651])).
% 1.62/1.45 tff(5727,plain,
% 1.62/1.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5728,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5729,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66))),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 1.62/1.45 tff(5730,plain,
% 1.62/1.45 (~node10(s66)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5729, 372, 5651])).
% 1.62/1.45 tff(5731,plain,
% 1.62/1.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5732,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5733,plain,
% 1.62/1.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66))),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5732, 5731])).
% 1.62/1.45 tff(5734,plain,
% 1.62/1.45 (~node11(s66)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5733, 361, 5671])).
% 1.62/1.45 tff(5735,plain,
% 1.62/1.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5736,plain,
% 1.62/1.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5737,plain,
% 1.62/1.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67)),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 1.62/1.45 tff(5738,plain,
% 1.62/1.45 (node14(s66, s67)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5737, 130, 5682])).
% 1.62/1.45 tff(5739,plain,
% 1.62/1.45 (((~![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(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))) <=> ((~![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(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5740,plain,
% 1.62/1.45 ((~![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(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 1.62/1.45 inference(quant_inst,[status(thm)],[])).
% 1.62/1.45 tff(5741,plain,
% 1.62/1.45 ((~![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(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67))),
% 1.62/1.45 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 1.62/1.45 tff(5742,plain,
% 1.62/1.45 (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5741, 401, 5738])).
% 1.62/1.45 tff(5743,plain,
% 1.62/1.45 (node13(s66, s67)),
% 1.62/1.45 inference(unit_resolution,[status(thm)],[5742, 5734, 5659, 5730, 5726, 5722, 5718])).
% 1.62/1.45 tff(5744,plain,
% 1.62/1.45 (((~![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(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))) <=> ((~![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(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5745,plain,
% 1.62/1.45 (((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2)) <=> ((~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 1.62/1.45 inference(rewrite,[status(thm)],[])).
% 1.62/1.45 tff(5746,plain,
% 1.62/1.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, 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(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))))),
% 1.62/1.45 inference(monotonicity,[status(thm)],[5745])).
% 1.62/1.45 tff(5747,plain,
% 1.62/1.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, 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(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 1.62/1.46 inference(transitivity,[status(thm)],[5746, 5744])).
% 1.62/1.46 tff(5748,plain,
% 1.62/1.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5749,plain,
% 1.62/1.46 ((~![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(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 1.62/1.46 tff(5750,plain,
% 1.62/1.46 (m_main_v_state2(s67, c_t2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5749, 563, 5647, 5743])).
% 1.62/1.46 tff(5751,plain,
% 1.62/1.46 (succ(s67, s68) <=> succ(s67, s68)),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5752,axiom,(succ(s67, s68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound68')).
% 1.62/1.46 tff(5753,plain,
% 1.62/1.46 (succ(s67, s68)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5752, 5751])).
% 1.62/1.46 tff(5754,plain,
% 1.62/1.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5755,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5756,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 1.62/1.46 tff(5757,plain,
% 1.62/1.46 (trans(s67, s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5756, 5753, 57])).
% 1.62/1.46 tff(5758,plain,
% 1.62/1.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5759,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5760,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 1.62/1.46 tff(5761,plain,
% 1.62/1.46 (node7(s67, s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5760, 217, 5757])).
% 1.62/1.46 tff(5762,plain,
% 1.62/1.46 (((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, 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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5763,plain,
% 1.62/1.46 ((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5764,plain,
% 1.62/1.46 ((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 1.62/1.46 tff(5765,plain,
% 1.62/1.46 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_state1(s68, c_t1)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5764, 598, 5761])).
% 1.62/1.46 tff(5766,plain,
% 1.62/1.46 (m_main_v_state1(s68, c_t1)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5765, 5750, 5694])).
% 1.62/1.46 tff(5767,plain,
% 1.62/1.46 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5768,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5769,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 1.62/1.46 tff(5770,plain,
% 1.62/1.46 (~m_main_v_state1(s68, c_n1)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5769, 35, 5766])).
% 1.62/1.46 tff(5771,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5772,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5773,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 1.62/1.46 tff(5774,plain,
% 1.62/1.46 (~node1(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5773, 249, 5770])).
% 1.62/1.46 tff(5775,plain,
% 1.62/1.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5776,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5777,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5776, 5775])).
% 1.62/1.46 tff(5778,plain,
% 1.62/1.46 (node18(s67, s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5777, 71, 5757])).
% 1.62/1.46 tff(5779,plain,
% 1.62/1.46 (((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, 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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5780,plain,
% 1.62/1.46 ((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5781,plain,
% 1.62/1.46 ((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5780, 5779])).
% 1.62/1.46 tff(5782,plain,
% 1.62/1.46 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_turn(s68, c_2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5781, 625, 5778])).
% 1.62/1.46 tff(5783,plain,
% 1.62/1.46 (m_main_v_turn(s68, c_2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5782, 5750, 5694])).
% 1.62/1.46 tff(5784,plain,
% 1.62/1.46 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5785,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5786,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5785, 5784])).
% 1.62/1.46 tff(5787,plain,
% 1.62/1.46 (~m_main_v_turn(s68, c_1)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5786, 322, 5783])).
% 1.62/1.46 tff(5788,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5789,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5790,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 1.62/1.46 tff(5791,plain,
% 1.62/1.46 (~node5(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5790, 641, 5787])).
% 1.62/1.46 tff(5792,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5793,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5794,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 1.62/1.46 tff(5795,plain,
% 1.62/1.46 (~node2(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5794, 652, 5770])).
% 1.62/1.46 tff(5796,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5797,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5798,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 1.62/1.46 tff(5799,plain,
% 1.62/1.46 (~node3(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5798, 663, 5770])).
% 1.62/1.46 tff(5800,plain,
% 1.62/1.46 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5801,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5802,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 1.62/1.46 tff(5803,plain,
% 1.62/1.46 (~m_main_v_state1(s68, c_c1)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5802, 289, 5766])).
% 1.62/1.46 tff(5804,plain,
% 1.62/1.46 (((~![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(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))) <=> ((~![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(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5805,plain,
% 1.62/1.46 (((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2))) <=> (m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5806,plain,
% 1.62/1.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, 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(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))))),
% 1.62/1.46 inference(monotonicity,[status(thm)],[5805])).
% 1.62/1.46 tff(5807,plain,
% 1.62/1.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, 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(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 1.62/1.46 inference(transitivity,[status(thm)],[5806, 5804])).
% 1.62/1.46 tff(5808,plain,
% 1.62/1.46 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5809,plain,
% 1.62/1.46 ((~![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(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 1.62/1.46 tff(5810,plain,
% 1.62/1.46 (~m_main_v_state2(s67, c_n2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5809, 416, 5651, 5743])).
% 1.62/1.46 tff(5811,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5812,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5813,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 1.62/1.46 tff(5814,plain,
% 1.62/1.46 (~node9(s67)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5813, 311, 5810])).
% 1.62/1.46 tff(5815,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5816,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5817,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 1.62/1.46 tff(5818,plain,
% 1.62/1.46 (~node10(s67)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5817, 372, 5810])).
% 1.62/1.46 tff(5819,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5820,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5821,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 1.62/1.46 tff(5822,plain,
% 1.62/1.46 (~node8(s67)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5821, 383, 5810])).
% 1.62/1.46 tff(5823,plain,
% 1.62/1.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5824,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5825,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 1.62/1.46 tff(5826,plain,
% 1.62/1.46 (node14(s67, s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5825, 130, 5757])).
% 1.62/1.46 tff(5827,plain,
% 1.62/1.46 (((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, 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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5828,plain,
% 1.62/1.46 ((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5829,plain,
% 1.62/1.46 ((~![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(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 1.62/1.46 tff(5830,plain,
% 1.62/1.46 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | m_main_v_state2(s68, c_c2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5829, 704, 5826])).
% 1.62/1.46 tff(5831,plain,
% 1.62/1.46 (m_main_v_state2(s68, c_c2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5830, 5822, 5694, 5750, 5818, 5814])).
% 1.62/1.46 tff(5832,plain,
% 1.62/1.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5833,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5834,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5833, 5832])).
% 1.62/1.46 tff(5835,plain,
% 1.62/1.46 (~m_main_v_state2(s68, c_n2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5834, 716, 5831])).
% 1.62/1.46 tff(5836,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5837,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5838,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 1.62/1.46 tff(5839,plain,
% 1.62/1.46 (~node4(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5838, 162, 5835])).
% 1.62/1.46 tff(5840,plain,
% 1.62/1.46 (succ(s68, s69) <=> succ(s68, s69)),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5841,axiom,(succ(s68, s69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound69')).
% 1.62/1.46 tff(5842,plain,
% 1.62/1.46 (succ(s68, s69)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 1.62/1.46 tff(5843,plain,
% 1.62/1.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5844,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5845,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 1.62/1.46 tff(5846,plain,
% 1.62/1.46 (trans(s68, s69)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5845, 5842, 57])).
% 1.62/1.46 tff(5847,plain,
% 1.62/1.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5848,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5849,plain,
% 1.62/1.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69)),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 1.62/1.46 tff(5850,plain,
% 1.62/1.46 (node7(s68, s69)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5849, 217, 5846])).
% 1.62/1.46 tff(5851,plain,
% 1.62/1.46 (((~![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(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))) <=> ((~![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(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5852,plain,
% 1.62/1.46 ((~![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(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5853,plain,
% 1.62/1.46 ((~![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(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 1.62/1.46 tff(5854,plain,
% 1.62/1.46 (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5853, 745, 5850])).
% 1.62/1.46 tff(5855,plain,
% 1.62/1.46 (node6(s68, s69)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5854, 5839, 5803, 5799, 5795, 5791, 5774])).
% 1.62/1.46 tff(5856,plain,
% 1.62/1.46 (((~![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(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))) <=> ((~![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(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5857,plain,
% 1.62/1.46 (((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1)) <=> ((~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5858,plain,
% 1.62/1.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, 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(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))))),
% 1.62/1.46 inference(monotonicity,[status(thm)],[5857])).
% 1.62/1.46 tff(5859,plain,
% 1.62/1.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, 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(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 1.62/1.46 inference(transitivity,[status(thm)],[5858, 5856])).
% 1.62/1.46 tff(5860,plain,
% 1.62/1.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5861,plain,
% 1.62/1.46 ((~![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(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 1.62/1.46 tff(5862,plain,
% 1.62/1.46 (m_main_v_state1(s69, c_t1)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5861, 760, 5766, 5855])).
% 1.62/1.46 tff(5863,plain,
% 1.62/1.46 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5864,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5865,plain,
% 1.62/1.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5864, 5863])).
% 1.62/1.46 tff(5866,plain,
% 1.62/1.46 (~m_main_v_state2(s68, c_t2)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5865, 173, 5831])).
% 1.62/1.46 tff(5867,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5868,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5869,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 1.62/1.46 tff(5870,plain,
% 1.62/1.46 (~node12(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5869, 778, 5866])).
% 1.62/1.46 tff(5871,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5872,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5873,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 1.62/1.46 tff(5874,plain,
% 1.62/1.46 (~node11(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5873, 361, 5770])).
% 1.62/1.46 tff(5875,plain,
% 1.62/1.46 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 1.62/1.46 inference(rewrite,[status(thm)],[])).
% 1.62/1.46 tff(5876,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 1.62/1.46 inference(quant_inst,[status(thm)],[])).
% 1.62/1.46 tff(5877,plain,
% 1.62/1.46 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68))),
% 1.62/1.46 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 1.62/1.46 tff(5878,plain,
% 1.62/1.46 (~node10(s68)),
% 1.62/1.46 inference(unit_resolution,[status(thm)],[5877, 793, 5803])).
% 1.64/1.47 tff(5879,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5880,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5881,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 1.64/1.47 tff(5882,plain,
% 1.64/1.47 (~node9(s68)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5881, 804, 5770])).
% 1.64/1.47 tff(5883,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5884,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5885,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 1.64/1.47 tff(5886,plain,
% 1.64/1.47 (~node8(s68)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5885, 383, 5835])).
% 1.64/1.47 tff(5887,plain,
% 1.64/1.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5888,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5889,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69)),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 1.64/1.47 tff(5890,plain,
% 1.64/1.47 (node14(s68, s69)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5889, 130, 5846])).
% 1.64/1.47 tff(5891,plain,
% 1.64/1.47 (((~![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(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, 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(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5892,plain,
% 1.64/1.47 (((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2)) <=> (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5893,plain,
% 1.64/1.47 (((~![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(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, 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(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))))),
% 1.64/1.47 inference(monotonicity,[status(thm)],[5892])).
% 1.64/1.47 tff(5894,plain,
% 1.64/1.47 (((~![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(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, 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(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 1.64/1.47 inference(transitivity,[status(thm)],[5893, 5891])).
% 1.64/1.47 tff(5895,plain,
% 1.64/1.47 ((~![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(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5896,plain,
% 1.64/1.47 ((~![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(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 1.64/1.47 tff(5897,plain,
% 1.64/1.47 (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~m_main_v_state2(s68, c_c2))),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5896, 826, 5890])).
% 1.64/1.47 tff(5898,plain,
% 1.64/1.47 (m_main_v_state2(s69, c_n2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5897, 5886, 5831, 5882, 5878, 5874, 5870])).
% 1.64/1.47 tff(5899,plain,
% 1.64/1.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5900,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5901,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 1.64/1.47 tff(5902,plain,
% 1.64/1.47 (~m_main_v_state2(s69, c_t2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5901, 10, 5898])).
% 1.64/1.47 tff(5903,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5904,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5905,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 1.64/1.47 tff(5906,plain,
% 1.64/1.47 (~node15(s69)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5905, 21, 5902])).
% 1.64/1.47 tff(5907,plain,
% 1.64/1.47 (succ(s69, s70) <=> succ(s69, s70)),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5908,axiom,(succ(s69, s70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound70')).
% 1.64/1.47 tff(5909,plain,
% 1.64/1.47 (succ(s69, s70)),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 1.64/1.47 tff(5910,plain,
% 1.64/1.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5911,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5912,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 1.64/1.47 tff(5913,plain,
% 1.64/1.47 (trans(s69, s70)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5912, 5909, 57])).
% 1.64/1.47 tff(5914,plain,
% 1.64/1.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5915,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5916,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70)),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 1.64/1.47 tff(5917,plain,
% 1.64/1.47 (node18(s69, s70)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5916, 71, 5913])).
% 1.64/1.47 tff(5918,plain,
% 1.64/1.47 (((~![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(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, 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(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5919,plain,
% 1.64/1.47 (((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1)) <=> (node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5920,plain,
% 1.64/1.47 (((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, 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(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)))),
% 1.64/1.47 inference(monotonicity,[status(thm)],[5919])).
% 1.64/1.47 tff(5921,plain,
% 1.64/1.47 (((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, 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(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 1.64/1.47 inference(transitivity,[status(thm)],[5920, 5918])).
% 1.64/1.47 tff(5922,plain,
% 1.64/1.47 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5923,plain,
% 1.64/1.47 ((~![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(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 1.64/1.47 tff(5924,plain,
% 1.64/1.47 (node15(s69) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5923, 863, 5917])).
% 1.64/1.47 tff(5925,plain,
% 1.64/1.47 (m_main_v_turn(s70, c_1)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5924, 5906, 5898, 5862])).
% 1.64/1.47 tff(5926,plain,
% 1.64/1.47 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5927,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5928,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 1.64/1.47 tff(5929,plain,
% 1.64/1.47 (~m_main_v_turn(s70, c_2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5928, 322, 5925])).
% 1.64/1.47 tff(5930,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5931,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5932,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 1.64/1.47 tff(5933,plain,
% 1.64/1.47 (~node12(s70)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5932, 350, 5929])).
% 1.64/1.47 tff(5934,plain,
% 1.64/1.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5935,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5936,plain,
% 1.64/1.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70)),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 1.64/1.47 tff(5937,plain,
% 1.64/1.47 (node14(s69, s70)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5936, 130, 5913])).
% 1.64/1.47 tff(5938,plain,
% 1.64/1.47 (((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, 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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5939,plain,
% 1.64/1.47 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5940,plain,
% 1.64/1.47 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2)),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 1.64/1.47 tff(5941,plain,
% 1.64/1.47 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state2(s70, c_t2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5940, 893, 5937])).
% 1.64/1.47 tff(5942,plain,
% 1.64/1.47 (m_main_v_state2(s70, c_t2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5941, 5862, 5898])).
% 1.64/1.47 tff(5943,plain,
% 1.64/1.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5944,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5945,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 1.64/1.47 tff(5946,plain,
% 1.64/1.47 (~m_main_v_state2(s70, c_n2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5945, 10, 5942])).
% 1.64/1.47 tff(5947,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5948,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5949,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 1.64/1.47 tff(5950,plain,
% 1.64/1.47 (~node8(s70)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5949, 383, 5946])).
% 1.64/1.47 tff(5951,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5952,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5953,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 1.64/1.47 tff(5954,plain,
% 1.64/1.47 (~node9(s70)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5953, 311, 5946])).
% 1.64/1.47 tff(5955,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5956,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5957,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 1.64/1.47 tff(5958,plain,
% 1.64/1.47 (~node10(s70)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5957, 372, 5946])).
% 1.64/1.47 tff(5959,plain,
% 1.64/1.47 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5960,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5961,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 1.64/1.47 tff(5962,plain,
% 1.64/1.47 (~m_main_v_state2(s70, c_c2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5961, 173, 5942])).
% 1.64/1.47 tff(5963,plain,
% 1.64/1.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5964,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5965,plain,
% 1.64/1.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 1.64/1.47 tff(5966,plain,
% 1.64/1.47 (~m_main_v_state2(s69, c_c2)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5965, 716, 5898])).
% 1.64/1.47 tff(5967,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5968,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5969,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 1.64/1.47 tff(5970,plain,
% 1.64/1.47 (~node3(s69)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5969, 184, 5966])).
% 1.64/1.47 tff(5971,plain,
% 1.64/1.47 (((~![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(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))) <=> ((~![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(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5972,plain,
% 1.64/1.47 (((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1))) <=> (m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5973,plain,
% 1.64/1.47 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, 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(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))))),
% 1.64/1.47 inference(monotonicity,[status(thm)],[5972])).
% 1.64/1.47 tff(5974,plain,
% 1.64/1.47 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, 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(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 1.64/1.47 inference(transitivity,[status(thm)],[5973, 5971])).
% 1.64/1.47 tff(5975,plain,
% 1.64/1.47 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5976,plain,
% 1.64/1.47 ((~![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(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 1.64/1.47 tff(5977,plain,
% 1.64/1.47 (~m_main_v_state1(s69, c_n1)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5976, 936, 5770, 5855])).
% 1.64/1.47 tff(5978,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 1.64/1.47 inference(rewrite,[status(thm)],[])).
% 1.64/1.47 tff(5979,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 1.64/1.47 inference(quant_inst,[status(thm)],[])).
% 1.64/1.47 tff(5980,plain,
% 1.64/1.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69))),
% 1.64/1.47 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 1.64/1.47 tff(5981,plain,
% 1.64/1.47 (~node2(s69)),
% 1.64/1.47 inference(unit_resolution,[status(thm)],[5980, 652, 5977])).
% 1.64/1.47 tff(5982,plain,
% 1.64/1.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(5983,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(5984,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 1.64/1.48 tff(5985,plain,
% 1.64/1.48 (~node1(s69)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[5984, 206, 5902])).
% 1.64/1.48 tff(5986,plain,
% 1.64/1.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(5987,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(5988,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70)),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 1.64/1.48 tff(5989,plain,
% 1.64/1.48 (node7(s69, s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[5988, 217, 5913])).
% 1.64/1.48 tff(5990,plain,
% 1.64/1.48 (((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))) <=> ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(5991,plain,
% 1.64/1.48 (((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1)) <=> ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(5992,plain,
% 1.64/1.48 (((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, 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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70))))),
% 1.64/1.48 inference(monotonicity,[status(thm)],[5991])).
% 1.64/1.48 tff(5993,plain,
% 1.64/1.48 (((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, 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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 1.64/1.48 inference(transitivity,[status(thm)],[5992, 5990])).
% 1.64/1.48 tff(5994,plain,
% 1.64/1.48 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(5995,plain,
% 1.64/1.48 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 1.64/1.48 tff(5996,plain,
% 1.64/1.48 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[5995, 965, 5989])).
% 1.64/1.48 tff(5997,plain,
% 1.64/1.48 (m_main_v_state1(s70, c_c1)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[5996, 5985, 5898, 5862, 5981, 5970])).
% 1.64/1.48 tff(5998,plain,
% 1.64/1.48 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(5999,plain,
% 1.64/1.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6000,plain,
% 1.64/1.48 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 1.64/1.48 tff(6001,plain,
% 1.64/1.48 (~m_main_v_state1(s70, c_n1)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6000, 449, 5997])).
% 1.64/1.48 tff(6002,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6003,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6004,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 1.64/1.48 tff(6005,plain,
% 1.64/1.48 (~node11(s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6004, 361, 6001])).
% 1.64/1.48 tff(6006,plain,
% 1.64/1.48 (succ(s70, s71) <=> succ(s70, s71)),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6007,axiom,(succ(s70, s71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound71')).
% 1.64/1.48 tff(6008,plain,
% 1.64/1.48 (succ(s70, s71)),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 1.64/1.48 tff(6009,plain,
% 1.64/1.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6010,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6011,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 1.64/1.48 tff(6012,plain,
% 1.64/1.48 (trans(s70, s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6011, 6008, 57])).
% 1.64/1.48 tff(6013,plain,
% 1.64/1.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6014,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6015,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71)),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 1.64/1.48 tff(6016,plain,
% 1.64/1.48 (node14(s70, s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6015, 130, 6012])).
% 1.64/1.48 tff(6017,plain,
% 1.64/1.48 (((~![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(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))) <=> ((~![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(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6018,plain,
% 1.64/1.48 ((~![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(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6019,plain,
% 1.64/1.48 ((~![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(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 1.64/1.48 tff(6020,plain,
% 1.64/1.48 (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6019, 401, 6016])).
% 1.64/1.48 tff(6021,plain,
% 1.64/1.48 (node13(s70, s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6020, 6005, 5962, 5958, 5954, 5950, 5933])).
% 1.64/1.48 tff(6022,plain,
% 1.64/1.48 (((~![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(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))) <=> ((~![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(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6023,plain,
% 1.64/1.48 (((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2))) <=> (m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6024,plain,
% 1.64/1.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, 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(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))))),
% 1.64/1.48 inference(monotonicity,[status(thm)],[6023])).
% 1.64/1.48 tff(6025,plain,
% 1.64/1.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, 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(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 1.64/1.48 inference(transitivity,[status(thm)],[6024, 6022])).
% 1.64/1.48 tff(6026,plain,
% 1.64/1.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6027,plain,
% 1.64/1.48 ((~![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(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 1.64/1.48 tff(6028,plain,
% 1.64/1.48 (~m_main_v_state2(s71, c_n2)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6027, 416, 5946, 6021])).
% 1.64/1.48 tff(6029,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6030,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6031,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 1.64/1.48 tff(6032,plain,
% 1.64/1.48 (~node9(s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6031, 311, 6028])).
% 1.64/1.48 tff(6033,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6034,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6035,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 1.64/1.48 tff(6036,plain,
% 1.64/1.48 (~node10(s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6035, 372, 6028])).
% 1.64/1.48 tff(6037,plain,
% 1.64/1.48 (((~![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(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))) <=> ((~![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(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6038,plain,
% 1.64/1.48 (((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2)) <=> ((~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6039,plain,
% 1.64/1.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, 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(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))))),
% 1.64/1.48 inference(monotonicity,[status(thm)],[6038])).
% 1.64/1.48 tff(6040,plain,
% 1.64/1.48 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, 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(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 1.64/1.48 inference(transitivity,[status(thm)],[6039, 6037])).
% 1.64/1.48 tff(6041,plain,
% 1.64/1.48 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6042,plain,
% 1.64/1.48 ((~![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(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6041, 6040])).
% 1.64/1.48 tff(6043,plain,
% 1.64/1.48 (m_main_v_state2(s71, c_t2)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6042, 563, 5942, 6021])).
% 1.64/1.48 tff(6044,plain,
% 1.64/1.48 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6045,plain,
% 1.64/1.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6046,plain,
% 1.64/1.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6045, 6044])).
% 1.64/1.48 tff(6047,plain,
% 1.64/1.48 (~m_main_v_state1(s70, c_t1)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6046, 289, 5997])).
% 1.64/1.48 tff(6048,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6049,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6050,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6049, 6048])).
% 1.64/1.48 tff(6051,plain,
% 1.64/1.48 (~node5(s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6050, 300, 6047])).
% 1.64/1.48 tff(6052,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6053,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6054,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 1.64/1.48 tff(6055,plain,
% 1.64/1.48 (~node4(s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6054, 162, 5946])).
% 1.64/1.48 tff(6056,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6057,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6058,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 1.64/1.48 tff(6059,plain,
% 1.64/1.48 (~node3(s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6058, 184, 5962])).
% 1.64/1.48 tff(6060,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6061,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6062,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 1.64/1.48 tff(6063,plain,
% 1.64/1.48 (~node2(s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6062, 195, 5946])).
% 1.64/1.48 tff(6064,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6065,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6066,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6065, 6064])).
% 1.64/1.48 tff(6067,plain,
% 1.64/1.48 (~node1(s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6066, 249, 6001])).
% 1.64/1.48 tff(6068,plain,
% 1.64/1.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6069,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6070,plain,
% 1.64/1.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71)),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 1.64/1.48 tff(6071,plain,
% 1.64/1.48 (node7(s70, s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6070, 217, 6012])).
% 1.64/1.48 tff(6072,plain,
% 1.64/1.48 (((~![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(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))) <=> ((~![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(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6073,plain,
% 1.64/1.48 (((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1)) <=> (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6074,plain,
% 1.64/1.48 (((~![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(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, 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(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))))),
% 1.64/1.48 inference(monotonicity,[status(thm)],[6073])).
% 1.64/1.48 tff(6075,plain,
% 1.64/1.48 (((~![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(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, 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(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 1.64/1.48 inference(transitivity,[status(thm)],[6074, 6072])).
% 1.64/1.48 tff(6076,plain,
% 1.64/1.48 ((~![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(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6077,plain,
% 1.64/1.48 ((~![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(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 1.64/1.48 tff(6078,plain,
% 1.64/1.48 (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6077, 478, 6071])).
% 1.64/1.48 tff(6079,plain,
% 1.64/1.48 (m_main_v_state1(s71, c_n1)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6078, 6067, 5997, 6063, 6059, 6055, 6051])).
% 1.64/1.48 tff(6080,plain,
% 1.64/1.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6081,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 1.64/1.48 inference(quant_inst,[status(thm)],[])).
% 1.64/1.48 tff(6082,plain,
% 1.64/1.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71))),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6081, 6080])).
% 1.64/1.48 tff(6083,plain,
% 1.64/1.48 (~node8(s71)),
% 1.64/1.48 inference(unit_resolution,[status(thm)],[6082, 383, 6028])).
% 1.64/1.48 tff(6084,plain,
% 1.64/1.48 (succ(s71, s72) <=> succ(s71, s72)),
% 1.64/1.48 inference(rewrite,[status(thm)],[])).
% 1.64/1.48 tff(6085,axiom,(succ(s71, s72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound72')).
% 1.64/1.48 tff(6086,plain,
% 1.64/1.48 (succ(s71, s72)),
% 1.64/1.48 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 1.64/1.48 tff(6087,plain,
% 1.64/1.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6088,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6089,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 1.64/1.49 tff(6090,plain,
% 1.64/1.49 (trans(s71, s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6089, 6086, 57])).
% 1.64/1.49 tff(6091,plain,
% 1.64/1.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6092,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6093,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 1.64/1.49 tff(6094,plain,
% 1.64/1.49 (node14(s71, s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6093, 130, 6090])).
% 1.64/1.49 tff(6095,plain,
% 1.64/1.49 (((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, 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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6096,plain,
% 1.64/1.49 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6097,plain,
% 1.64/1.49 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 1.64/1.49 tff(6098,plain,
% 1.64/1.49 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | m_main_v_state2(s72, c_c2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6097, 704, 6094])).
% 1.64/1.49 tff(6099,plain,
% 1.64/1.49 (m_main_v_state2(s72, c_c2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6098, 6083, 6079, 6043, 6036, 6032])).
% 1.64/1.49 tff(6100,plain,
% 1.64/1.49 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6101,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6102,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 1.64/1.49 tff(6103,plain,
% 1.64/1.49 (~m_main_v_state2(s72, c_t2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6102, 173, 6099])).
% 1.64/1.49 tff(6104,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6105,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6106,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 1.64/1.49 tff(6107,plain,
% 1.64/1.49 (~node12(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6106, 778, 6103])).
% 1.64/1.49 tff(6108,plain,
% 1.64/1.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6109,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6110,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 1.64/1.49 tff(6111,plain,
% 1.64/1.49 (node7(s71, s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6110, 217, 6090])).
% 1.64/1.49 tff(6112,plain,
% 1.64/1.49 (((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, 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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6113,plain,
% 1.64/1.49 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6114,plain,
% 1.64/1.49 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 1.64/1.49 tff(6115,plain,
% 1.64/1.49 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_state1(s72, c_t1)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6114, 598, 6111])).
% 1.64/1.49 tff(6116,plain,
% 1.64/1.49 (m_main_v_state1(s72, c_t1)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6115, 6043, 6079])).
% 1.64/1.49 tff(6117,plain,
% 1.64/1.49 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6118,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6119,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6118, 6117])).
% 1.64/1.49 tff(6120,plain,
% 1.64/1.49 (~m_main_v_state1(s72, c_n1)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6119, 35, 6116])).
% 1.64/1.49 tff(6121,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6122,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6123,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 1.64/1.49 tff(6124,plain,
% 1.64/1.49 (~node11(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6123, 361, 6120])).
% 1.64/1.49 tff(6125,plain,
% 1.64/1.49 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6126,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6127,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 1.64/1.49 tff(6128,plain,
% 1.64/1.49 (~m_main_v_state1(s72, c_c1)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6127, 289, 6116])).
% 1.64/1.49 tff(6129,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6130,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6131,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 1.64/1.49 tff(6132,plain,
% 1.64/1.49 (~node10(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6131, 793, 6128])).
% 1.64/1.49 tff(6133,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6134,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6135,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 1.64/1.49 tff(6136,plain,
% 1.64/1.49 (~node9(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6135, 804, 6120])).
% 1.64/1.49 tff(6137,plain,
% 1.64/1.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6138,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6139,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 1.64/1.49 tff(6140,plain,
% 1.64/1.49 (~m_main_v_state2(s72, c_n2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6139, 716, 6099])).
% 1.64/1.49 tff(6141,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6142,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6143,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 1.64/1.49 tff(6144,plain,
% 1.64/1.49 (~node8(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6143, 383, 6140])).
% 1.64/1.49 tff(6145,plain,
% 1.64/1.49 (succ(s72, s73) <=> succ(s72, s73)),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6146,axiom,(succ(s72, s73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound73')).
% 1.64/1.49 tff(6147,plain,
% 1.64/1.49 (succ(s72, s73)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6146, 6145])).
% 1.64/1.49 tff(6148,plain,
% 1.64/1.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6149,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6150,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 1.64/1.49 tff(6151,plain,
% 1.64/1.49 (trans(s72, s73)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6150, 6147, 57])).
% 1.64/1.49 tff(6152,plain,
% 1.64/1.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6153,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6154,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6153, 6152])).
% 1.64/1.49 tff(6155,plain,
% 1.64/1.49 (node14(s72, s73)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6154, 130, 6151])).
% 1.64/1.49 tff(6156,plain,
% 1.64/1.49 (((~![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(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, 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(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6157,plain,
% 1.64/1.49 (((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2)) <=> (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6158,plain,
% 1.64/1.49 (((~![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(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, 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(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))))),
% 1.64/1.49 inference(monotonicity,[status(thm)],[6157])).
% 1.64/1.49 tff(6159,plain,
% 1.64/1.49 (((~![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(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, 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(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 1.64/1.49 inference(transitivity,[status(thm)],[6158, 6156])).
% 1.64/1.49 tff(6160,plain,
% 1.64/1.49 ((~![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(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6161,plain,
% 1.64/1.49 ((~![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(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 1.64/1.49 tff(6162,plain,
% 1.64/1.49 (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~m_main_v_state2(s72, c_c2))),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6161, 826, 6155])).
% 1.64/1.49 tff(6163,plain,
% 1.64/1.49 (m_main_v_state2(s73, c_n2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6162, 6144, 6099, 6136, 6132, 6124, 6107])).
% 1.64/1.49 tff(6164,plain,
% 1.64/1.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6165,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6166,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 1.64/1.49 tff(6167,plain,
% 1.64/1.49 (~m_main_v_state2(s73, c_c2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6166, 716, 6163])).
% 1.64/1.49 tff(6168,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6169,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6170,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 1.64/1.49 tff(6171,plain,
% 1.64/1.49 (~node3(s73)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6170, 184, 6167])).
% 1.64/1.49 tff(6172,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6173,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6174,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 1.64/1.49 tff(6175,plain,
% 1.64/1.49 (~node1(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6174, 249, 6120])).
% 1.64/1.49 tff(6176,plain,
% 1.64/1.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6177,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6178,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 1.64/1.49 tff(6179,plain,
% 1.64/1.49 (node18(s71, s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6178, 71, 6090])).
% 1.64/1.49 tff(6180,plain,
% 1.64/1.49 (((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, 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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6181,plain,
% 1.64/1.49 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6182,plain,
% 1.64/1.49 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 1.64/1.49 tff(6183,plain,
% 1.64/1.49 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_turn(s72, c_2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6182, 625, 6179])).
% 1.64/1.49 tff(6184,plain,
% 1.64/1.49 (m_main_v_turn(s72, c_2)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6183, 6043, 6079])).
% 1.64/1.49 tff(6185,plain,
% 1.64/1.49 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6186,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6187,plain,
% 1.64/1.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 1.64/1.49 tff(6188,plain,
% 1.64/1.49 (~m_main_v_turn(s72, c_1)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6187, 322, 6184])).
% 1.64/1.49 tff(6189,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6190,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6191,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 1.64/1.49 tff(6192,plain,
% 1.64/1.49 (~node5(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6191, 641, 6188])).
% 1.64/1.49 tff(6193,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6194,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6195,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 1.64/1.49 tff(6196,plain,
% 1.64/1.49 (~node2(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6195, 652, 6120])).
% 1.64/1.49 tff(6197,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6198,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6199,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 1.64/1.49 tff(6200,plain,
% 1.64/1.49 (~node3(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6199, 663, 6120])).
% 1.64/1.49 tff(6201,plain,
% 1.64/1.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6202,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6203,plain,
% 1.64/1.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72))),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 1.64/1.49 tff(6204,plain,
% 1.64/1.49 (~node4(s72)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6203, 162, 6140])).
% 1.64/1.49 tff(6205,plain,
% 1.64/1.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6206,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6207,plain,
% 1.64/1.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73)),
% 1.64/1.49 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 1.64/1.49 tff(6208,plain,
% 1.64/1.49 (node7(s72, s73)),
% 1.64/1.49 inference(unit_resolution,[status(thm)],[6207, 217, 6151])).
% 1.64/1.49 tff(6209,plain,
% 1.64/1.49 (((~![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(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))) <=> ((~![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(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 1.64/1.49 inference(rewrite,[status(thm)],[])).
% 1.64/1.49 tff(6210,plain,
% 1.64/1.49 ((~![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(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 1.64/1.49 inference(quant_inst,[status(thm)],[])).
% 1.64/1.49 tff(6211,plain,
% 1.64/1.49 ((~![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(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 1.64/1.50 tff(6212,plain,
% 1.64/1.50 (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6211, 745, 6208])).
% 1.64/1.50 tff(6213,plain,
% 1.64/1.50 (node6(s72, s73)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6212, 6204, 6128, 6200, 6196, 6192, 6175])).
% 1.64/1.50 tff(6214,plain,
% 1.64/1.50 (((~![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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))) <=> ((~![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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6215,plain,
% 1.64/1.50 (((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1))) <=> (m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6216,plain,
% 1.64/1.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, 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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))))),
% 1.64/1.50 inference(monotonicity,[status(thm)],[6215])).
% 1.64/1.50 tff(6217,plain,
% 1.64/1.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, 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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 1.64/1.50 inference(transitivity,[status(thm)],[6216, 6214])).
% 1.64/1.50 tff(6218,plain,
% 1.64/1.50 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6219,plain,
% 1.64/1.50 ((~![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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 1.64/1.50 tff(6220,plain,
% 1.64/1.50 (~m_main_v_state1(s73, c_n1)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6219, 936, 6120, 6213])).
% 1.64/1.50 tff(6221,plain,
% 1.64/1.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6222,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6223,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 1.64/1.50 tff(6224,plain,
% 1.64/1.50 (~node2(s73)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6223, 652, 6220])).
% 1.64/1.50 tff(6225,plain,
% 1.64/1.50 (((~![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(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))) <=> ((~![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(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6226,plain,
% 1.64/1.50 (((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1)) <=> ((~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6227,plain,
% 1.64/1.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, 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(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))))),
% 1.64/1.50 inference(monotonicity,[status(thm)],[6226])).
% 1.64/1.50 tff(6228,plain,
% 1.64/1.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, 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(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 1.64/1.50 inference(transitivity,[status(thm)],[6227, 6225])).
% 1.64/1.50 tff(6229,plain,
% 1.64/1.50 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6230,plain,
% 1.64/1.50 ((~![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(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 1.64/1.50 tff(6231,plain,
% 1.64/1.50 (m_main_v_state1(s73, c_t1)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6230, 760, 6116, 6213])).
% 1.64/1.50 tff(6232,plain,
% 1.64/1.50 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6233,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6234,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 1.64/1.50 tff(6235,plain,
% 1.64/1.50 (~m_main_v_state2(s73, c_t2)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6234, 10, 6163])).
% 1.64/1.50 tff(6236,plain,
% 1.64/1.50 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6237,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6238,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 1.64/1.50 tff(6239,plain,
% 1.64/1.50 (~node1(s73)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6238, 206, 6235])).
% 1.64/1.50 tff(6240,plain,
% 1.64/1.50 (succ(s73, s74) <=> succ(s73, s74)),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6241,axiom,(succ(s73, s74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound74')).
% 1.64/1.50 tff(6242,plain,
% 1.64/1.50 (succ(s73, s74)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 1.64/1.50 tff(6243,plain,
% 1.64/1.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6244,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6245,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 1.64/1.50 tff(6246,plain,
% 1.64/1.50 (trans(s73, s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6245, 6242, 57])).
% 1.64/1.50 tff(6247,plain,
% 1.64/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6248,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6249,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 1.64/1.50 tff(6250,plain,
% 1.64/1.50 (node7(s73, s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6249, 217, 6246])).
% 1.64/1.50 tff(6251,plain,
% 1.64/1.50 (((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))) <=> ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6252,plain,
% 1.64/1.50 (((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1)) <=> ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6253,plain,
% 1.64/1.50 (((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, 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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74))))),
% 1.64/1.50 inference(monotonicity,[status(thm)],[6252])).
% 1.64/1.50 tff(6254,plain,
% 1.64/1.50 (((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, 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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 1.64/1.50 inference(transitivity,[status(thm)],[6253, 6251])).
% 1.64/1.50 tff(6255,plain,
% 1.64/1.50 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6256,plain,
% 1.64/1.50 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 1.64/1.50 tff(6257,plain,
% 1.64/1.50 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6256, 965, 6250])).
% 1.64/1.50 tff(6258,plain,
% 1.64/1.50 (m_main_v_state1(s74, c_c1)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6257, 6239, 6163, 6231, 6224, 6171])).
% 1.64/1.50 tff(6259,plain,
% 1.64/1.50 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6260,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6261,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6260, 6259])).
% 1.64/1.50 tff(6262,plain,
% 1.64/1.50 (~m_main_v_state1(s74, c_t1)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6261, 289, 6258])).
% 1.64/1.50 tff(6263,plain,
% 1.64/1.50 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6264,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6265,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 1.64/1.50 tff(6266,plain,
% 1.64/1.50 (~node5(s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6265, 300, 6262])).
% 1.64/1.50 tff(6267,plain,
% 1.64/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6268,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6269,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6268, 6267])).
% 1.64/1.50 tff(6270,plain,
% 1.64/1.50 (node14(s73, s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6269, 130, 6246])).
% 1.64/1.50 tff(6271,plain,
% 1.64/1.50 (((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, 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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6272,plain,
% 1.64/1.50 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6273,plain,
% 1.64/1.50 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6272, 6271])).
% 1.64/1.50 tff(6274,plain,
% 1.64/1.50 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state2(s74, c_t2)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6273, 893, 6270])).
% 1.64/1.50 tff(6275,plain,
% 1.64/1.50 (m_main_v_state2(s74, c_t2)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6274, 6231, 6163])).
% 1.64/1.50 tff(6276,plain,
% 1.64/1.50 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6277,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6278,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 1.64/1.50 tff(6279,plain,
% 1.64/1.50 (~m_main_v_state2(s74, c_n2)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6278, 10, 6275])).
% 1.64/1.50 tff(6280,plain,
% 1.64/1.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6281,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6282,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 1.64/1.50 tff(6283,plain,
% 1.64/1.50 (~node4(s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6282, 162, 6279])).
% 1.64/1.50 tff(6284,plain,
% 1.64/1.50 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6285,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6286,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 1.64/1.50 tff(6287,plain,
% 1.64/1.50 (~m_main_v_state2(s74, c_c2)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6286, 173, 6275])).
% 1.64/1.50 tff(6288,plain,
% 1.64/1.50 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6289,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6290,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 1.64/1.50 tff(6291,plain,
% 1.64/1.50 (~node3(s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6290, 184, 6287])).
% 1.64/1.50 tff(6292,plain,
% 1.64/1.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6293,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6294,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 1.64/1.50 tff(6295,plain,
% 1.64/1.50 (~node2(s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6294, 195, 6279])).
% 1.64/1.50 tff(6296,plain,
% 1.64/1.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6297,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6298,plain,
% 1.64/1.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 1.64/1.50 tff(6299,plain,
% 1.64/1.50 (~m_main_v_state1(s74, c_n1)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6298, 449, 6258])).
% 1.64/1.50 tff(6300,plain,
% 1.64/1.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6301,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6302,plain,
% 1.64/1.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74))),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 1.64/1.50 tff(6303,plain,
% 1.64/1.50 (~node1(s74)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6302, 249, 6299])).
% 1.64/1.50 tff(6304,plain,
% 1.64/1.50 (succ(s74, s75) <=> succ(s74, s75)),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6305,axiom,(succ(s74, s75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound75')).
% 1.64/1.50 tff(6306,plain,
% 1.64/1.50 (succ(s74, s75)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 1.64/1.50 tff(6307,plain,
% 1.64/1.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6308,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6309,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6308, 6307])).
% 1.64/1.50 tff(6310,plain,
% 1.64/1.50 (trans(s74, s75)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6309, 6306, 57])).
% 1.64/1.50 tff(6311,plain,
% 1.64/1.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6312,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))),
% 1.64/1.50 inference(quant_inst,[status(thm)],[])).
% 1.64/1.50 tff(6313,plain,
% 1.64/1.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75)),
% 1.64/1.50 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 1.64/1.50 tff(6314,plain,
% 1.64/1.50 (node7(s74, s75)),
% 1.64/1.50 inference(unit_resolution,[status(thm)],[6313, 217, 6310])).
% 1.64/1.50 tff(6315,plain,
% 1.64/1.50 (((~![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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))) <=> ((~![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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 1.64/1.50 inference(rewrite,[status(thm)],[])).
% 1.64/1.50 tff(6316,plain,
% 1.64/1.50 (((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1)) <=> (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6317,plain,
% 1.64/1.51 (((~![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(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, 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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))))),
% 1.64/1.51 inference(monotonicity,[status(thm)],[6316])).
% 1.64/1.51 tff(6318,plain,
% 1.64/1.51 (((~![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(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, 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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 1.64/1.51 inference(transitivity,[status(thm)],[6317, 6315])).
% 1.64/1.51 tff(6319,plain,
% 1.64/1.51 ((~![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(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6320,plain,
% 1.64/1.51 ((~![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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 1.64/1.51 tff(6321,plain,
% 1.64/1.51 (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6320, 478, 6314])).
% 1.64/1.51 tff(6322,plain,
% 1.64/1.51 (m_main_v_state1(s75, c_n1)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6321, 6303, 6258, 6295, 6291, 6283, 6266])).
% 1.64/1.51 tff(6323,plain,
% 1.64/1.51 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6324,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6325,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 1.64/1.51 tff(6326,plain,
% 1.64/1.51 (~node15(s73)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6325, 21, 6235])).
% 1.64/1.51 tff(6327,plain,
% 1.64/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6328,plain,
% 1.64/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6329,plain,
% 1.64/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74)),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 1.64/1.51 tff(6330,plain,
% 1.64/1.51 (node18(s73, s74)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6329, 71, 6246])).
% 1.64/1.51 tff(6331,plain,
% 1.64/1.51 (((~![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(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, 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(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6332,plain,
% 1.64/1.51 (((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1)) <=> (node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6333,plain,
% 1.64/1.51 (((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, 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(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)))),
% 1.64/1.51 inference(monotonicity,[status(thm)],[6332])).
% 1.64/1.51 tff(6334,plain,
% 1.64/1.51 (((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, 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(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 1.64/1.51 inference(transitivity,[status(thm)],[6333, 6331])).
% 1.64/1.51 tff(6335,plain,
% 1.64/1.51 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6336,plain,
% 1.64/1.51 ((~![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(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6335, 6334])).
% 1.64/1.51 tff(6337,plain,
% 1.64/1.51 (node15(s73) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6336, 863, 6330])).
% 1.64/1.51 tff(6338,plain,
% 1.64/1.51 (m_main_v_turn(s74, c_1)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6337, 6326, 6163, 6231])).
% 1.64/1.51 tff(6339,plain,
% 1.64/1.51 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6340,plain,
% 1.64/1.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6341,plain,
% 1.64/1.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 1.64/1.51 tff(6342,plain,
% 1.64/1.51 (~m_main_v_turn(s74, c_2)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6341, 322, 6338])).
% 1.64/1.51 tff(6343,plain,
% 1.64/1.51 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6344,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6345,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 1.64/1.51 tff(6346,plain,
% 1.64/1.51 (~node12(s74)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6345, 350, 6342])).
% 1.64/1.51 tff(6347,plain,
% 1.64/1.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6348,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6349,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 1.64/1.51 tff(6350,plain,
% 1.64/1.51 (~node8(s74)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6349, 383, 6279])).
% 1.64/1.51 tff(6351,plain,
% 1.64/1.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6352,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6353,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 1.64/1.51 tff(6354,plain,
% 1.64/1.51 (~node9(s74)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6353, 311, 6279])).
% 1.64/1.51 tff(6355,plain,
% 1.64/1.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6356,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6357,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 1.64/1.51 tff(6358,plain,
% 1.64/1.51 (~node10(s74)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6357, 372, 6279])).
% 1.64/1.51 tff(6359,plain,
% 1.64/1.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6360,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6361,plain,
% 1.64/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 1.64/1.51 tff(6362,plain,
% 1.64/1.51 (~node11(s74)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6361, 361, 6299])).
% 1.64/1.51 tff(6363,plain,
% 1.64/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6364,plain,
% 1.64/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6365,plain,
% 1.64/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75)),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 1.64/1.51 tff(6366,plain,
% 1.64/1.51 (node14(s74, s75)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6365, 130, 6310])).
% 1.64/1.51 tff(6367,plain,
% 1.64/1.51 (((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))) <=> ((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6368,plain,
% 1.64/1.51 ((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6369,plain,
% 1.64/1.51 ((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6368, 6367])).
% 1.64/1.51 tff(6370,plain,
% 1.64/1.51 (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6369, 401, 6366])).
% 1.64/1.51 tff(6371,plain,
% 1.64/1.51 (node13(s74, s75)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6370, 6362, 6287, 6358, 6354, 6350, 6346])).
% 1.64/1.51 tff(6372,plain,
% 1.64/1.51 (((~![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(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))) <=> ((~![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(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6373,plain,
% 1.64/1.51 (((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2)) <=> ((~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6374,plain,
% 1.64/1.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, 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(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))))),
% 1.64/1.51 inference(monotonicity,[status(thm)],[6373])).
% 1.64/1.51 tff(6375,plain,
% 1.64/1.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, 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(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 1.64/1.51 inference(transitivity,[status(thm)],[6374, 6372])).
% 1.64/1.51 tff(6376,plain,
% 1.64/1.51 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2))),
% 1.64/1.51 inference(quant_inst,[status(thm)],[])).
% 1.64/1.51 tff(6377,plain,
% 1.64/1.51 ((~![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(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 1.64/1.51 tff(6378,plain,
% 1.64/1.51 (m_main_v_state2(s75, c_t2)),
% 1.64/1.51 inference(unit_resolution,[status(thm)],[6377, 563, 6275, 6371])).
% 1.64/1.51 tff(6379,plain,
% 1.64/1.51 (succ(s75, s76) <=> succ(s75, s76)),
% 1.64/1.51 inference(rewrite,[status(thm)],[])).
% 1.64/1.51 tff(6380,axiom,(succ(s75, s76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound76')).
% 1.64/1.51 tff(6381,plain,
% 1.64/1.51 (succ(s75, s76)),
% 1.64/1.51 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 1.68/1.51 tff(6382,plain,
% 1.68/1.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6383,plain,
% 1.68/1.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6384,plain,
% 1.68/1.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 1.68/1.51 tff(6385,plain,
% 1.68/1.51 (trans(s75, s76)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6384, 6381, 57])).
% 1.68/1.51 tff(6386,plain,
% 1.68/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6387,plain,
% 1.68/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6388,plain,
% 1.68/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76)),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 1.68/1.51 tff(6389,plain,
% 1.68/1.51 (node7(s75, s76)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6388, 217, 6385])).
% 1.68/1.51 tff(6390,plain,
% 1.68/1.51 (((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, 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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6391,plain,
% 1.68/1.51 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6392,plain,
% 1.68/1.51 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1)),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 1.68/1.51 tff(6393,plain,
% 1.68/1.51 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_state1(s76, c_t1)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6392, 598, 6389])).
% 1.68/1.51 tff(6394,plain,
% 1.68/1.51 (m_main_v_state1(s76, c_t1)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6393, 6378, 6322])).
% 1.68/1.51 tff(6395,plain,
% 1.68/1.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6396,plain,
% 1.68/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6397,plain,
% 1.68/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1))),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6396, 6395])).
% 1.68/1.51 tff(6398,plain,
% 1.68/1.51 (~m_main_v_state1(s76, c_n1)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6397, 35, 6394])).
% 1.68/1.51 tff(6399,plain,
% 1.68/1.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6400,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6401,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76))),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 1.68/1.51 tff(6402,plain,
% 1.68/1.51 (~node1(s76)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6401, 249, 6398])).
% 1.68/1.51 tff(6403,plain,
% 1.68/1.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6404,plain,
% 1.68/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6405,plain,
% 1.68/1.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76)),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6404, 6403])).
% 1.68/1.51 tff(6406,plain,
% 1.68/1.51 (node18(s75, s76)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6405, 71, 6385])).
% 1.68/1.51 tff(6407,plain,
% 1.68/1.51 (((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, 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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6408,plain,
% 1.68/1.51 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6409,plain,
% 1.68/1.51 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2)),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 1.68/1.51 tff(6410,plain,
% 1.68/1.51 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_turn(s76, c_2)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6409, 625, 6406])).
% 1.68/1.51 tff(6411,plain,
% 1.68/1.51 (m_main_v_turn(s76, c_2)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6410, 6378, 6322])).
% 1.68/1.51 tff(6412,plain,
% 1.68/1.51 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6413,plain,
% 1.68/1.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6414,plain,
% 1.68/1.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2))),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 1.68/1.51 tff(6415,plain,
% 1.68/1.51 (~m_main_v_turn(s76, c_1)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6414, 322, 6411])).
% 1.68/1.51 tff(6416,plain,
% 1.68/1.51 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6417,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6418,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76))),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 1.68/1.51 tff(6419,plain,
% 1.68/1.51 (~node5(s76)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6418, 641, 6415])).
% 1.68/1.51 tff(6420,plain,
% 1.68/1.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6421,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6422,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76))),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 1.68/1.51 tff(6423,plain,
% 1.68/1.51 (~node2(s76)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6422, 652, 6398])).
% 1.68/1.51 tff(6424,plain,
% 1.68/1.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6425,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6426,plain,
% 1.68/1.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76))),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 1.68/1.51 tff(6427,plain,
% 1.68/1.51 (~node3(s76)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6426, 663, 6398])).
% 1.68/1.51 tff(6428,plain,
% 1.68/1.51 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6429,plain,
% 1.68/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))),
% 1.68/1.51 inference(quant_inst,[status(thm)],[])).
% 1.68/1.51 tff(6430,plain,
% 1.68/1.51 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1))),
% 1.68/1.51 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 1.68/1.51 tff(6431,plain,
% 1.68/1.51 (~m_main_v_state1(s76, c_c1)),
% 1.68/1.51 inference(unit_resolution,[status(thm)],[6430, 289, 6394])).
% 1.68/1.51 tff(6432,plain,
% 1.68/1.51 (((~![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(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))) <=> ((~![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(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6433,plain,
% 1.68/1.51 (((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2))) <=> (m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 1.68/1.51 inference(rewrite,[status(thm)],[])).
% 1.68/1.51 tff(6434,plain,
% 1.68/1.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, 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(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))))),
% 1.68/1.51 inference(monotonicity,[status(thm)],[6433])).
% 1.68/1.51 tff(6435,plain,
% 1.68/1.51 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, 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(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 1.68/1.51 inference(transitivity,[status(thm)],[6434, 6432])).
% 1.68/1.51 tff(6436,plain,
% 1.68/1.51 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6437,plain,
% 1.68/1.52 ((~![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(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 1.68/1.52 tff(6438,plain,
% 1.68/1.52 (~m_main_v_state2(s75, c_n2)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6437, 416, 6279, 6371])).
% 1.68/1.52 tff(6439,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6440,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6441,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 1.68/1.52 tff(6442,plain,
% 1.68/1.52 (~node9(s75)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6441, 311, 6438])).
% 1.68/1.52 tff(6443,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6444,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6445,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 1.68/1.52 tff(6446,plain,
% 1.68/1.52 (~node10(s75)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6445, 372, 6438])).
% 1.68/1.52 tff(6447,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6448,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6449,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 1.68/1.52 tff(6450,plain,
% 1.68/1.52 (~node8(s75)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6449, 383, 6438])).
% 1.68/1.52 tff(6451,plain,
% 1.68/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6452,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6453,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 1.68/1.52 tff(6454,plain,
% 1.68/1.52 (node14(s75, s76)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6453, 130, 6385])).
% 1.68/1.52 tff(6455,plain,
% 1.68/1.52 (((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, 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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6456,plain,
% 1.68/1.52 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6457,plain,
% 1.68/1.52 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 1.68/1.52 tff(6458,plain,
% 1.68/1.52 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | m_main_v_state2(s76, c_c2)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6457, 704, 6454])).
% 1.68/1.52 tff(6459,plain,
% 1.68/1.52 (m_main_v_state2(s76, c_c2)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6458, 6450, 6322, 6378, 6446, 6442])).
% 1.68/1.52 tff(6460,plain,
% 1.68/1.52 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6461,plain,
% 1.68/1.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6462,plain,
% 1.68/1.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 1.68/1.52 tff(6463,plain,
% 1.68/1.52 (~m_main_v_state2(s76, c_n2)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6462, 716, 6459])).
% 1.68/1.52 tff(6464,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6465,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6466,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6465, 6464])).
% 1.68/1.52 tff(6467,plain,
% 1.68/1.52 (~node4(s76)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6466, 162, 6463])).
% 1.68/1.52 tff(6468,plain,
% 1.68/1.52 (succ(s76, s77) <=> succ(s76, s77)),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6469,axiom,(succ(s76, s77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound77')).
% 1.68/1.52 tff(6470,plain,
% 1.68/1.52 (succ(s76, s77)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 1.68/1.52 tff(6471,plain,
% 1.68/1.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6472,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6473,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6472, 6471])).
% 1.68/1.52 tff(6474,plain,
% 1.68/1.52 (trans(s76, s77)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6473, 6470, 57])).
% 1.68/1.52 tff(6475,plain,
% 1.68/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6476,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6477,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 1.68/1.52 tff(6478,plain,
% 1.68/1.52 (node7(s76, s77)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6477, 217, 6474])).
% 1.68/1.52 tff(6479,plain,
% 1.68/1.52 (((~![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(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))) <=> ((~![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(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6480,plain,
% 1.68/1.52 ((~![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(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6481,plain,
% 1.68/1.52 ((~![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(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 1.68/1.52 tff(6482,plain,
% 1.68/1.52 (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6481, 745, 6478])).
% 1.68/1.52 tff(6483,plain,
% 1.68/1.52 (node6(s76, s77)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6482, 6467, 6431, 6427, 6423, 6419, 6402])).
% 1.68/1.52 tff(6484,plain,
% 1.68/1.52 (((~![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(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))) <=> ((~![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(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6485,plain,
% 1.68/1.52 (((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1)) <=> ((~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6486,plain,
% 1.68/1.52 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, 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(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))))),
% 1.68/1.52 inference(monotonicity,[status(thm)],[6485])).
% 1.68/1.52 tff(6487,plain,
% 1.68/1.52 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, 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(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 1.68/1.52 inference(transitivity,[status(thm)],[6486, 6484])).
% 1.68/1.52 tff(6488,plain,
% 1.68/1.52 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6489,plain,
% 1.68/1.52 ((~![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(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 1.68/1.52 tff(6490,plain,
% 1.68/1.52 (m_main_v_state1(s77, c_t1)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6489, 760, 6394, 6483])).
% 1.68/1.52 tff(6491,plain,
% 1.68/1.52 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6492,plain,
% 1.68/1.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6493,plain,
% 1.68/1.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 1.68/1.52 tff(6494,plain,
% 1.68/1.52 (~m_main_v_state2(s76, c_t2)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6493, 173, 6459])).
% 1.68/1.52 tff(6495,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6496,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6497,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 1.68/1.52 tff(6498,plain,
% 1.68/1.52 (~node12(s76)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6497, 778, 6494])).
% 1.68/1.52 tff(6499,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6500,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6501,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 1.68/1.52 tff(6502,plain,
% 1.68/1.52 (~node11(s76)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6501, 361, 6398])).
% 1.68/1.52 tff(6503,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6504,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6505,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 1.68/1.52 tff(6506,plain,
% 1.68/1.52 (~node10(s76)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6505, 793, 6431])).
% 1.68/1.52 tff(6507,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6508,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6509,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 1.68/1.52 tff(6510,plain,
% 1.68/1.52 (~node9(s76)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6509, 804, 6398])).
% 1.68/1.52 tff(6511,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6512,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6513,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 1.68/1.52 tff(6514,plain,
% 1.68/1.52 (~node8(s76)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6513, 383, 6463])).
% 1.68/1.52 tff(6515,plain,
% 1.68/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6516,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6517,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 1.68/1.52 tff(6518,plain,
% 1.68/1.52 (node14(s76, s77)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6517, 130, 6474])).
% 1.68/1.52 tff(6519,plain,
% 1.68/1.52 (((~![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(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, 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(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6520,plain,
% 1.68/1.52 (((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2)) <=> (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6521,plain,
% 1.68/1.52 (((~![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(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, 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(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2))))),
% 1.68/1.52 inference(monotonicity,[status(thm)],[6520])).
% 1.68/1.52 tff(6522,plain,
% 1.68/1.52 (((~![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(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, 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(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 1.68/1.52 inference(transitivity,[status(thm)],[6521, 6519])).
% 1.68/1.52 tff(6523,plain,
% 1.68/1.52 ((~![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(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6524,plain,
% 1.68/1.52 ((~![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(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 1.68/1.52 tff(6525,plain,
% 1.68/1.52 (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~m_main_v_state2(s76, c_c2))),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6524, 826, 6518])).
% 1.68/1.52 tff(6526,plain,
% 1.68/1.52 (m_main_v_state2(s77, c_n2)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6525, 6514, 6459, 6510, 6506, 6502, 6498])).
% 1.68/1.52 tff(6527,plain,
% 1.68/1.52 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6528,plain,
% 1.68/1.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6529,plain,
% 1.68/1.52 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 1.68/1.52 tff(6530,plain,
% 1.68/1.52 (~m_main_v_state2(s77, c_t2)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6529, 10, 6526])).
% 1.68/1.52 tff(6531,plain,
% 1.68/1.52 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6532,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6533,plain,
% 1.68/1.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77))),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 1.68/1.52 tff(6534,plain,
% 1.68/1.52 (~node15(s77)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6533, 21, 6530])).
% 1.68/1.52 tff(6535,plain,
% 1.68/1.52 (succ(s77, s78) <=> succ(s77, s78)),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6536,axiom,(succ(s77, s78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound78')).
% 1.68/1.52 tff(6537,plain,
% 1.68/1.52 (succ(s77, s78)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 1.68/1.52 tff(6538,plain,
% 1.68/1.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6539,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6540,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6539, 6538])).
% 1.68/1.52 tff(6541,plain,
% 1.68/1.52 (trans(s77, s78)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6540, 6537, 57])).
% 1.68/1.52 tff(6542,plain,
% 1.68/1.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78))),
% 1.68/1.52 inference(rewrite,[status(thm)],[])).
% 1.68/1.52 tff(6543,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))),
% 1.68/1.52 inference(quant_inst,[status(thm)],[])).
% 1.68/1.52 tff(6544,plain,
% 1.68/1.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78)),
% 1.68/1.52 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 1.68/1.52 tff(6545,plain,
% 1.68/1.52 (node18(s77, s78)),
% 1.68/1.52 inference(unit_resolution,[status(thm)],[6544, 71, 6541])).
% 1.68/1.52 tff(6546,plain,
% 1.68/1.52 (((~![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(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, 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(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6547,plain,
% 1.68/1.53 (((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1)) <=> (node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6548,plain,
% 1.68/1.53 (((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, 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(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)))),
% 1.68/1.53 inference(monotonicity,[status(thm)],[6547])).
% 1.68/1.53 tff(6549,plain,
% 1.68/1.53 (((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, 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(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 1.68/1.53 inference(transitivity,[status(thm)],[6548, 6546])).
% 1.68/1.53 tff(6550,plain,
% 1.68/1.53 ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6551,plain,
% 1.68/1.53 ((~![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(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 1.68/1.53 tff(6552,plain,
% 1.68/1.53 (node15(s77) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6551, 863, 6545])).
% 1.68/1.53 tff(6553,plain,
% 1.68/1.53 (m_main_v_turn(s78, c_1)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6552, 6534, 6526, 6490])).
% 1.68/1.53 tff(6554,plain,
% 1.68/1.53 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6555,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6556,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 1.68/1.53 tff(6557,plain,
% 1.68/1.53 (~m_main_v_turn(s78, c_2)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6556, 322, 6553])).
% 1.68/1.53 tff(6558,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6559,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6560,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6559, 6558])).
% 1.68/1.53 tff(6561,plain,
% 1.68/1.53 (~node12(s78)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6560, 350, 6557])).
% 1.68/1.53 tff(6562,plain,
% 1.68/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6563,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6564,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78)),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6563, 6562])).
% 1.68/1.53 tff(6565,plain,
% 1.68/1.53 (node14(s77, s78)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6564, 130, 6541])).
% 1.68/1.53 tff(6566,plain,
% 1.68/1.53 (((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, 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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6567,plain,
% 1.68/1.53 ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6568,plain,
% 1.68/1.53 ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2)),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 1.68/1.53 tff(6569,plain,
% 1.68/1.53 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state2(s78, c_t2)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6568, 893, 6565])).
% 1.68/1.53 tff(6570,plain,
% 1.68/1.53 (m_main_v_state2(s78, c_t2)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6569, 6490, 6526])).
% 1.68/1.53 tff(6571,plain,
% 1.68/1.53 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6572,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6573,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6572, 6571])).
% 1.68/1.53 tff(6574,plain,
% 1.68/1.53 (~m_main_v_state2(s78, c_n2)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6573, 10, 6570])).
% 1.68/1.53 tff(6575,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6576,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6577,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6576, 6575])).
% 1.68/1.53 tff(6578,plain,
% 1.68/1.53 (~node8(s78)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6577, 383, 6574])).
% 1.68/1.53 tff(6579,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6580,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6581,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6580, 6579])).
% 1.68/1.53 tff(6582,plain,
% 1.68/1.53 (~node9(s78)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6581, 311, 6574])).
% 1.68/1.53 tff(6583,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6584,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6585,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6584, 6583])).
% 1.68/1.53 tff(6586,plain,
% 1.68/1.53 (~node10(s78)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6585, 372, 6574])).
% 1.68/1.53 tff(6587,plain,
% 1.68/1.53 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6588,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6589,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 1.68/1.53 tff(6590,plain,
% 1.68/1.53 (~m_main_v_state2(s78, c_c2)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6589, 173, 6570])).
% 1.68/1.53 tff(6591,plain,
% 1.68/1.53 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6592,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6593,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6592, 6591])).
% 1.68/1.53 tff(6594,plain,
% 1.68/1.53 (~m_main_v_state2(s77, c_c2)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6593, 716, 6526])).
% 1.68/1.53 tff(6595,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6596,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6597,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 1.68/1.53 tff(6598,plain,
% 1.68/1.53 (~node3(s77)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6597, 184, 6594])).
% 1.68/1.53 tff(6599,plain,
% 1.68/1.53 (((~![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(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))) <=> ((~![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(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6600,plain,
% 1.68/1.53 (((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1))) <=> (m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6601,plain,
% 1.68/1.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, 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(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))))),
% 1.68/1.53 inference(monotonicity,[status(thm)],[6600])).
% 1.68/1.53 tff(6602,plain,
% 1.68/1.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, 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(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 1.68/1.53 inference(transitivity,[status(thm)],[6601, 6599])).
% 1.68/1.53 tff(6603,plain,
% 1.68/1.53 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6604,plain,
% 1.68/1.53 ((~![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(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 1.68/1.53 tff(6605,plain,
% 1.68/1.53 (~m_main_v_state1(s77, c_n1)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6604, 936, 6398, 6483])).
% 1.68/1.53 tff(6606,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6607,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6608,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 1.68/1.53 tff(6609,plain,
% 1.68/1.53 (~node2(s77)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6608, 652, 6605])).
% 1.68/1.53 tff(6610,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6611,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6612,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 1.68/1.53 tff(6613,plain,
% 1.68/1.53 (~node1(s77)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6612, 206, 6530])).
% 1.68/1.53 tff(6614,plain,
% 1.68/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6615,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6616,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78)),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 1.68/1.53 tff(6617,plain,
% 1.68/1.53 (node7(s77, s78)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6616, 217, 6541])).
% 1.68/1.53 tff(6618,plain,
% 1.68/1.53 (((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))) <=> ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6619,plain,
% 1.68/1.53 (((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1)) <=> ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6620,plain,
% 1.68/1.53 (((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, 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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78))))),
% 1.68/1.53 inference(monotonicity,[status(thm)],[6619])).
% 1.68/1.53 tff(6621,plain,
% 1.68/1.53 (((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, 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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 1.68/1.53 inference(transitivity,[status(thm)],[6620, 6618])).
% 1.68/1.53 tff(6622,plain,
% 1.68/1.53 ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6623,plain,
% 1.68/1.53 ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 1.68/1.53 tff(6624,plain,
% 1.68/1.53 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6623, 965, 6617])).
% 1.68/1.53 tff(6625,plain,
% 1.68/1.53 (m_main_v_state1(s78, c_c1)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6624, 6613, 6526, 6490, 6609, 6598])).
% 1.68/1.53 tff(6626,plain,
% 1.68/1.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6627,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6628,plain,
% 1.68/1.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6627, 6626])).
% 1.68/1.53 tff(6629,plain,
% 1.68/1.53 (~m_main_v_state1(s78, c_n1)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6628, 449, 6625])).
% 1.68/1.53 tff(6630,plain,
% 1.68/1.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6631,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6632,plain,
% 1.68/1.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78))),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 1.68/1.53 tff(6633,plain,
% 1.68/1.53 (~node11(s78)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6632, 361, 6629])).
% 1.68/1.53 tff(6634,plain,
% 1.68/1.53 (succ(s78, s79) <=> succ(s78, s79)),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6635,axiom,(succ(s78, s79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound79')).
% 1.68/1.53 tff(6636,plain,
% 1.68/1.53 (succ(s78, s79)),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6635, 6634])).
% 1.68/1.53 tff(6637,plain,
% 1.68/1.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6638,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6639,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 1.68/1.53 tff(6640,plain,
% 1.68/1.53 (trans(s78, s79)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6639, 6636, 57])).
% 1.68/1.53 tff(6641,plain,
% 1.68/1.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6642,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6643,plain,
% 1.68/1.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79)),
% 1.68/1.53 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 1.68/1.53 tff(6644,plain,
% 1.68/1.53 (node14(s78, s79)),
% 1.68/1.53 inference(unit_resolution,[status(thm)],[6643, 130, 6640])).
% 1.68/1.53 tff(6645,plain,
% 1.68/1.53 (((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))) <=> ((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 1.68/1.53 inference(rewrite,[status(thm)],[])).
% 1.68/1.53 tff(6646,plain,
% 1.68/1.53 ((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 1.68/1.53 inference(quant_inst,[status(thm)],[])).
% 1.68/1.53 tff(6647,plain,
% 1.68/1.53 ((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6646, 6645])).
% 1.68/1.54 tff(6648,plain,
% 1.68/1.54 (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6647, 401, 6644])).
% 1.68/1.54 tff(6649,plain,
% 1.68/1.54 (node13(s78, s79)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6648, 6633, 6590, 6586, 6582, 6578, 6561])).
% 1.68/1.54 tff(6650,plain,
% 1.68/1.54 (((~![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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))) <=> ((~![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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6651,plain,
% 1.68/1.54 (((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2))) <=> (m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6652,plain,
% 1.68/1.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, 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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))))),
% 1.68/1.54 inference(monotonicity,[status(thm)],[6651])).
% 1.68/1.54 tff(6653,plain,
% 1.68/1.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, 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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 1.68/1.54 inference(transitivity,[status(thm)],[6652, 6650])).
% 1.68/1.54 tff(6654,plain,
% 1.68/1.54 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6655,plain,
% 1.68/1.54 ((~![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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 1.68/1.54 tff(6656,plain,
% 1.68/1.54 (~m_main_v_state2(s79, c_n2)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6655, 416, 6574, 6649])).
% 1.68/1.54 tff(6657,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6658,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6659,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 1.68/1.54 tff(6660,plain,
% 1.68/1.54 (~node9(s79)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6659, 311, 6656])).
% 1.68/1.54 tff(6661,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6662,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6663,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 1.68/1.54 tff(6664,plain,
% 1.68/1.54 (~node10(s79)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6663, 372, 6656])).
% 1.68/1.54 tff(6665,plain,
% 1.68/1.54 (((~![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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))) <=> ((~![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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6666,plain,
% 1.68/1.54 (((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2)) <=> ((~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6667,plain,
% 1.68/1.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, 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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))))),
% 1.68/1.54 inference(monotonicity,[status(thm)],[6666])).
% 1.68/1.54 tff(6668,plain,
% 1.68/1.54 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, 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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 1.68/1.54 inference(transitivity,[status(thm)],[6667, 6665])).
% 1.68/1.54 tff(6669,plain,
% 1.68/1.54 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6670,plain,
% 1.68/1.54 ((~![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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 1.68/1.54 tff(6671,plain,
% 1.68/1.54 (m_main_v_state2(s79, c_t2)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6670, 563, 6570, 6649])).
% 1.68/1.54 tff(6672,plain,
% 1.68/1.54 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6673,plain,
% 1.68/1.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6674,plain,
% 1.68/1.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6673, 6672])).
% 1.68/1.54 tff(6675,plain,
% 1.68/1.54 (~m_main_v_state1(s78, c_t1)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6674, 289, 6625])).
% 1.68/1.54 tff(6676,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6677,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6678,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6677, 6676])).
% 1.68/1.54 tff(6679,plain,
% 1.68/1.54 (~node5(s78)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6678, 300, 6675])).
% 1.68/1.54 tff(6680,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6681,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6682,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 1.68/1.54 tff(6683,plain,
% 1.68/1.54 (~node4(s78)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6682, 162, 6574])).
% 1.68/1.54 tff(6684,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6685,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6686,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 1.68/1.54 tff(6687,plain,
% 1.68/1.54 (~node3(s78)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6686, 184, 6590])).
% 1.68/1.54 tff(6688,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6689,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6690,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6689, 6688])).
% 1.68/1.54 tff(6691,plain,
% 1.68/1.54 (~node2(s78)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6690, 195, 6574])).
% 1.68/1.54 tff(6692,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6693,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6694,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 1.68/1.54 tff(6695,plain,
% 1.68/1.54 (~node1(s78)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6694, 249, 6629])).
% 1.68/1.54 tff(6696,plain,
% 1.68/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6697,plain,
% 1.68/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6698,plain,
% 1.68/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79)),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 1.68/1.54 tff(6699,plain,
% 1.68/1.54 (node7(s78, s79)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6698, 217, 6640])).
% 1.68/1.54 tff(6700,plain,
% 1.68/1.54 (((~![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(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))) <=> ((~![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(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6701,plain,
% 1.68/1.54 (((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1)) <=> (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6702,plain,
% 1.68/1.54 (((~![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(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, 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(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))))),
% 1.68/1.54 inference(monotonicity,[status(thm)],[6701])).
% 1.68/1.54 tff(6703,plain,
% 1.68/1.54 (((~![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(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, 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(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 1.68/1.54 inference(transitivity,[status(thm)],[6702, 6700])).
% 1.68/1.54 tff(6704,plain,
% 1.68/1.54 ((~![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(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6705,plain,
% 1.68/1.54 ((~![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(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 1.68/1.54 tff(6706,plain,
% 1.68/1.54 (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6705, 478, 6699])).
% 1.68/1.54 tff(6707,plain,
% 1.68/1.54 (m_main_v_state1(s79, c_n1)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6706, 6695, 6625, 6691, 6687, 6683, 6679])).
% 1.68/1.54 tff(6708,plain,
% 1.68/1.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6709,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 1.68/1.54 inference(quant_inst,[status(thm)],[])).
% 1.68/1.54 tff(6710,plain,
% 1.68/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79))),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 1.68/1.54 tff(6711,plain,
% 1.68/1.54 (~node8(s79)),
% 1.68/1.54 inference(unit_resolution,[status(thm)],[6710, 383, 6656])).
% 1.68/1.54 tff(6712,plain,
% 1.68/1.54 (succ(s79, s80) <=> succ(s79, s80)),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.68/1.54 tff(6713,axiom,(succ(s79, s80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound80')).
% 1.68/1.54 tff(6714,plain,
% 1.68/1.54 (succ(s79, s80)),
% 1.68/1.54 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 1.68/1.54 tff(6715,plain,
% 1.68/1.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80))),
% 1.68/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6716,plain,
% 1.71/1.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6717,plain,
% 1.71/1.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6716, 6715])).
% 1.71/1.54 tff(6718,plain,
% 1.71/1.54 (trans(s79, s80)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6717, 6714, 57])).
% 1.71/1.54 tff(6719,plain,
% 1.71/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6720,plain,
% 1.71/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6721,plain,
% 1.71/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80)),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6720, 6719])).
% 1.71/1.54 tff(6722,plain,
% 1.71/1.54 (node14(s79, s80)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6721, 130, 6718])).
% 1.71/1.54 tff(6723,plain,
% 1.71/1.54 (((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, 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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6724,plain,
% 1.71/1.54 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6725,plain,
% 1.71/1.54 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2)),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6724, 6723])).
% 1.71/1.54 tff(6726,plain,
% 1.71/1.54 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | m_main_v_state2(s80, c_c2)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6725, 704, 6722])).
% 1.71/1.54 tff(6727,plain,
% 1.71/1.54 (m_main_v_state2(s80, c_c2)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6726, 6711, 6707, 6671, 6664, 6660])).
% 1.71/1.54 tff(6728,plain,
% 1.71/1.54 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6729,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6730,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 1.71/1.54 tff(6731,plain,
% 1.71/1.54 (~m_main_v_state2(s80, c_t2)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6730, 173, 6727])).
% 1.71/1.54 tff(6732,plain,
% 1.71/1.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6733,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6734,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 1.71/1.54 tff(6735,plain,
% 1.71/1.54 (~node12(s80)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6734, 778, 6731])).
% 1.71/1.54 tff(6736,plain,
% 1.71/1.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6737,plain,
% 1.71/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6738,plain,
% 1.71/1.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80)),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6737, 6736])).
% 1.71/1.54 tff(6739,plain,
% 1.71/1.54 (node7(s79, s80)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6738, 217, 6718])).
% 1.71/1.54 tff(6740,plain,
% 1.71/1.54 (((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, 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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6741,plain,
% 1.71/1.54 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6742,plain,
% 1.71/1.54 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1)),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 1.71/1.54 tff(6743,plain,
% 1.71/1.54 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_state1(s80, c_t1)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6742, 598, 6739])).
% 1.71/1.54 tff(6744,plain,
% 1.71/1.54 (m_main_v_state1(s80, c_t1)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6743, 6671, 6707])).
% 1.71/1.54 tff(6745,plain,
% 1.71/1.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6746,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6747,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 1.71/1.54 tff(6748,plain,
% 1.71/1.54 (~m_main_v_state1(s80, c_n1)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6747, 35, 6744])).
% 1.71/1.54 tff(6749,plain,
% 1.71/1.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6750,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6751,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 1.71/1.54 tff(6752,plain,
% 1.71/1.54 (~node11(s80)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6751, 361, 6748])).
% 1.71/1.54 tff(6753,plain,
% 1.71/1.54 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6754,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6755,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 1.71/1.54 tff(6756,plain,
% 1.71/1.54 (~m_main_v_state1(s80, c_c1)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6755, 289, 6744])).
% 1.71/1.54 tff(6757,plain,
% 1.71/1.54 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6758,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6759,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 1.71/1.54 tff(6760,plain,
% 1.71/1.54 (~node10(s80)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6759, 793, 6756])).
% 1.71/1.54 tff(6761,plain,
% 1.71/1.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6762,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6763,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 1.71/1.54 tff(6764,plain,
% 1.71/1.54 (~node9(s80)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6763, 804, 6748])).
% 1.71/1.54 tff(6765,plain,
% 1.71/1.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6766,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6767,plain,
% 1.71/1.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 1.71/1.54 tff(6768,plain,
% 1.71/1.54 (~m_main_v_state2(s80, c_n2)),
% 1.71/1.54 inference(unit_resolution,[status(thm)],[6767, 716, 6727])).
% 1.71/1.54 tff(6769,plain,
% 1.71/1.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 1.71/1.54 inference(rewrite,[status(thm)],[])).
% 1.71/1.54 tff(6770,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 1.71/1.54 inference(quant_inst,[status(thm)],[])).
% 1.71/1.54 tff(6771,plain,
% 1.71/1.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80))),
% 1.71/1.54 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 1.71/1.54 tff(6772,plain,
% 1.71/1.55 (~node8(s80)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6771, 383, 6768])).
% 1.71/1.55 tff(6773,plain,
% 1.71/1.55 (succ(s80, s81) <=> succ(s80, s81)),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6774,axiom,(succ(s80, s81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound81')).
% 1.71/1.55 tff(6775,plain,
% 1.71/1.55 (succ(s80, s81)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6774, 6773])).
% 1.71/1.55 tff(6776,plain,
% 1.71/1.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6777,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6778,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 1.71/1.55 tff(6779,plain,
% 1.71/1.55 (trans(s80, s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6778, 6775, 57])).
% 1.71/1.55 tff(6780,plain,
% 1.71/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6781,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6782,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 1.71/1.55 tff(6783,plain,
% 1.71/1.55 (node14(s80, s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6782, 130, 6779])).
% 1.71/1.55 tff(6784,plain,
% 1.71/1.55 (((~![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(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, 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(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6785,plain,
% 1.71/1.55 (((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2)) <=> (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6786,plain,
% 1.71/1.55 (((~![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(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, 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(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2))))),
% 1.71/1.55 inference(monotonicity,[status(thm)],[6785])).
% 1.71/1.55 tff(6787,plain,
% 1.71/1.55 (((~![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(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, 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(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 1.71/1.55 inference(transitivity,[status(thm)],[6786, 6784])).
% 1.71/1.55 tff(6788,plain,
% 1.71/1.55 ((~![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(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6789,plain,
% 1.71/1.55 ((~![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(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6788, 6787])).
% 1.71/1.55 tff(6790,plain,
% 1.71/1.55 (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~m_main_v_state2(s80, c_c2))),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6789, 826, 6783])).
% 1.71/1.55 tff(6791,plain,
% 1.71/1.55 (m_main_v_state2(s81, c_n2)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6790, 6772, 6727, 6764, 6760, 6752, 6735])).
% 1.71/1.55 tff(6792,plain,
% 1.71/1.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6793,plain,
% 1.71/1.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6794,plain,
% 1.71/1.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 1.71/1.55 tff(6795,plain,
% 1.71/1.55 (~m_main_v_state2(s81, c_c2)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6794, 716, 6791])).
% 1.71/1.55 tff(6796,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6797,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6798,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 1.71/1.55 tff(6799,plain,
% 1.71/1.55 (~node3(s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6798, 184, 6795])).
% 1.71/1.55 tff(6800,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6801,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6802,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 1.71/1.55 tff(6803,plain,
% 1.71/1.55 (~node1(s80)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6802, 249, 6748])).
% 1.71/1.55 tff(6804,plain,
% 1.71/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6805,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6806,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 1.71/1.55 tff(6807,plain,
% 1.71/1.55 (node18(s79, s80)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6806, 71, 6718])).
% 1.71/1.55 tff(6808,plain,
% 1.71/1.55 (((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, 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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6809,plain,
% 1.71/1.55 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6810,plain,
% 1.71/1.55 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 1.71/1.55 tff(6811,plain,
% 1.71/1.55 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_turn(s80, c_2)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6810, 625, 6807])).
% 1.71/1.55 tff(6812,plain,
% 1.71/1.55 (m_main_v_turn(s80, c_2)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6811, 6671, 6707])).
% 1.71/1.55 tff(6813,plain,
% 1.71/1.55 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6814,plain,
% 1.71/1.55 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6815,plain,
% 1.71/1.55 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 1.71/1.55 tff(6816,plain,
% 1.71/1.55 (~m_main_v_turn(s80, c_1)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6815, 322, 6812])).
% 1.71/1.55 tff(6817,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6818,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6819,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 1.71/1.55 tff(6820,plain,
% 1.71/1.55 (~node5(s80)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6819, 641, 6816])).
% 1.71/1.55 tff(6821,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6822,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6823,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 1.71/1.55 tff(6824,plain,
% 1.71/1.55 (~node2(s80)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6823, 652, 6748])).
% 1.71/1.55 tff(6825,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6826,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6827,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 1.71/1.55 tff(6828,plain,
% 1.71/1.55 (~node3(s80)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6827, 663, 6748])).
% 1.71/1.55 tff(6829,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6830,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6831,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 1.71/1.55 tff(6832,plain,
% 1.71/1.55 (~node4(s80)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6831, 162, 6768])).
% 1.71/1.55 tff(6833,plain,
% 1.71/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6834,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6835,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 1.71/1.55 tff(6836,plain,
% 1.71/1.55 (node7(s80, s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6835, 217, 6779])).
% 1.71/1.55 tff(6837,plain,
% 1.71/1.55 (((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))) <=> ((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6838,plain,
% 1.71/1.55 ((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6839,plain,
% 1.71/1.55 ((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6838, 6837])).
% 1.71/1.55 tff(6840,plain,
% 1.71/1.55 (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6839, 745, 6836])).
% 1.71/1.55 tff(6841,plain,
% 1.71/1.55 (node6(s80, s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6840, 6832, 6756, 6828, 6824, 6820, 6803])).
% 1.71/1.55 tff(6842,plain,
% 1.71/1.55 (((~![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(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))) <=> ((~![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(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6843,plain,
% 1.71/1.55 (((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1))) <=> (m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6844,plain,
% 1.71/1.55 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, 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(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))))),
% 1.71/1.55 inference(monotonicity,[status(thm)],[6843])).
% 1.71/1.55 tff(6845,plain,
% 1.71/1.55 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, 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(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 1.71/1.55 inference(transitivity,[status(thm)],[6844, 6842])).
% 1.71/1.55 tff(6846,plain,
% 1.71/1.55 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6847,plain,
% 1.71/1.55 ((~![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(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 1.71/1.55 tff(6848,plain,
% 1.71/1.55 (~m_main_v_state1(s81, c_n1)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6847, 936, 6748, 6841])).
% 1.71/1.55 tff(6849,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6850,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6851,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 1.71/1.55 tff(6852,plain,
% 1.71/1.55 (~node2(s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6851, 652, 6848])).
% 1.71/1.55 tff(6853,plain,
% 1.71/1.55 (((~![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(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))) <=> ((~![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(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6854,plain,
% 1.71/1.55 (((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1)) <=> ((~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6855,plain,
% 1.71/1.55 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, 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(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))))),
% 1.71/1.55 inference(monotonicity,[status(thm)],[6854])).
% 1.71/1.55 tff(6856,plain,
% 1.71/1.55 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, 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(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 1.71/1.55 inference(transitivity,[status(thm)],[6855, 6853])).
% 1.71/1.55 tff(6857,plain,
% 1.71/1.55 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6858,plain,
% 1.71/1.55 ((~![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(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 1.71/1.55 tff(6859,plain,
% 1.71/1.55 (m_main_v_state1(s81, c_t1)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6858, 760, 6744, 6841])).
% 1.71/1.55 tff(6860,plain,
% 1.71/1.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6861,plain,
% 1.71/1.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6862,plain,
% 1.71/1.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 1.71/1.55 tff(6863,plain,
% 1.71/1.55 (~m_main_v_state2(s81, c_t2)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6862, 10, 6791])).
% 1.71/1.55 tff(6864,plain,
% 1.71/1.55 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6865,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6866,plain,
% 1.71/1.55 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81))),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 1.71/1.55 tff(6867,plain,
% 1.71/1.55 (~node1(s81)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6866, 206, 6863])).
% 1.71/1.55 tff(6868,plain,
% 1.71/1.55 (succ(s81, s82) <=> succ(s81, s82)),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6869,axiom,(succ(s81, s82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound82')).
% 1.71/1.55 tff(6870,plain,
% 1.71/1.55 (succ(s81, s82)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 1.71/1.55 tff(6871,plain,
% 1.71/1.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6872,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6873,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 1.71/1.55 tff(6874,plain,
% 1.71/1.55 (trans(s81, s82)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6873, 6870, 57])).
% 1.71/1.55 tff(6875,plain,
% 1.71/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82))),
% 1.71/1.55 inference(rewrite,[status(thm)],[])).
% 1.71/1.55 tff(6876,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))),
% 1.71/1.55 inference(quant_inst,[status(thm)],[])).
% 1.71/1.55 tff(6877,plain,
% 1.71/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82)),
% 1.71/1.55 inference(modus_ponens,[status(thm)],[6876, 6875])).
% 1.71/1.55 tff(6878,plain,
% 1.71/1.55 (node7(s81, s82)),
% 1.71/1.55 inference(unit_resolution,[status(thm)],[6877, 217, 6874])).
% 1.71/1.55 tff(6879,plain,
% 1.71/1.55 (((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))) <=> ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6880,plain,
% 1.71/1.56 (((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1)) <=> ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6881,plain,
% 1.71/1.56 (((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, 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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82))))),
% 1.71/1.56 inference(monotonicity,[status(thm)],[6880])).
% 1.71/1.56 tff(6882,plain,
% 1.71/1.56 (((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, 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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 1.71/1.56 inference(transitivity,[status(thm)],[6881, 6879])).
% 1.71/1.56 tff(6883,plain,
% 1.71/1.56 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6884,plain,
% 1.71/1.56 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 1.71/1.56 tff(6885,plain,
% 1.71/1.56 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6884, 965, 6878])).
% 1.71/1.56 tff(6886,plain,
% 1.71/1.56 (m_main_v_state1(s82, c_c1)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6885, 6867, 6791, 6859, 6852, 6799])).
% 1.71/1.56 tff(6887,plain,
% 1.71/1.56 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6888,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6889,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 1.71/1.56 tff(6890,plain,
% 1.71/1.56 (~m_main_v_state1(s82, c_t1)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6889, 289, 6886])).
% 1.71/1.56 tff(6891,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6892,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6893,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 1.71/1.56 tff(6894,plain,
% 1.71/1.56 (~node5(s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6893, 300, 6890])).
% 1.71/1.56 tff(6895,plain,
% 1.71/1.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6896,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6897,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82)),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 1.71/1.56 tff(6898,plain,
% 1.71/1.56 (node14(s81, s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6897, 130, 6874])).
% 1.71/1.56 tff(6899,plain,
% 1.71/1.56 (((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, 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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6900,plain,
% 1.71/1.56 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6901,plain,
% 1.71/1.56 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2)),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 1.71/1.56 tff(6902,plain,
% 1.71/1.56 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state2(s82, c_t2)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6901, 893, 6898])).
% 1.71/1.56 tff(6903,plain,
% 1.71/1.56 (m_main_v_state2(s82, c_t2)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6902, 6859, 6791])).
% 1.71/1.56 tff(6904,plain,
% 1.71/1.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6905,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6906,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 1.71/1.56 tff(6907,plain,
% 1.71/1.56 (~m_main_v_state2(s82, c_n2)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6906, 10, 6903])).
% 1.71/1.56 tff(6908,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6909,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6910,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 1.71/1.56 tff(6911,plain,
% 1.71/1.56 (~node4(s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6910, 162, 6907])).
% 1.71/1.56 tff(6912,plain,
% 1.71/1.56 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6913,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6914,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 1.71/1.56 tff(6915,plain,
% 1.71/1.56 (~m_main_v_state2(s82, c_c2)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6914, 173, 6903])).
% 1.71/1.56 tff(6916,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6917,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6918,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 1.71/1.56 tff(6919,plain,
% 1.71/1.56 (~node3(s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6918, 184, 6915])).
% 1.71/1.56 tff(6920,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6921,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6922,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 1.71/1.56 tff(6923,plain,
% 1.71/1.56 (~node2(s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6922, 195, 6907])).
% 1.71/1.56 tff(6924,plain,
% 1.71/1.56 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6925,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6926,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 1.71/1.56 tff(6927,plain,
% 1.71/1.56 (~m_main_v_state1(s82, c_n1)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6926, 449, 6886])).
% 1.71/1.56 tff(6928,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6929,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6930,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 1.71/1.56 tff(6931,plain,
% 1.71/1.56 (~node1(s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6930, 249, 6927])).
% 1.71/1.56 tff(6932,plain,
% 1.71/1.56 (succ(s82, s83) <=> succ(s82, s83)),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6933,axiom,(succ(s82, s83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound83')).
% 1.71/1.56 tff(6934,plain,
% 1.71/1.56 (succ(s82, s83)),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6933, 6932])).
% 1.71/1.56 tff(6935,plain,
% 1.71/1.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6936,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6937,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 1.71/1.56 tff(6938,plain,
% 1.71/1.56 (trans(s82, s83)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6937, 6934, 57])).
% 1.71/1.56 tff(6939,plain,
% 1.71/1.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6940,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6941,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83)),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6940, 6939])).
% 1.71/1.56 tff(6942,plain,
% 1.71/1.56 (node7(s82, s83)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6941, 217, 6938])).
% 1.71/1.56 tff(6943,plain,
% 1.71/1.56 (((~![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(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))) <=> ((~![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(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6944,plain,
% 1.71/1.56 (((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1)) <=> (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6945,plain,
% 1.71/1.56 (((~![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(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, 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(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))))),
% 1.71/1.56 inference(monotonicity,[status(thm)],[6944])).
% 1.71/1.56 tff(6946,plain,
% 1.71/1.56 (((~![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(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, 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(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 1.71/1.56 inference(transitivity,[status(thm)],[6945, 6943])).
% 1.71/1.56 tff(6947,plain,
% 1.71/1.56 ((~![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(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6948,plain,
% 1.71/1.56 ((~![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(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6947, 6946])).
% 1.71/1.56 tff(6949,plain,
% 1.71/1.56 (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6948, 478, 6942])).
% 1.71/1.56 tff(6950,plain,
% 1.71/1.56 (m_main_v_state1(s83, c_n1)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6949, 6931, 6886, 6923, 6919, 6911, 6894])).
% 1.71/1.56 tff(6951,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6952,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6953,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 1.71/1.56 tff(6954,plain,
% 1.71/1.56 (~node15(s81)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6953, 21, 6863])).
% 1.71/1.56 tff(6955,plain,
% 1.71/1.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6956,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6957,plain,
% 1.71/1.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82)),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 1.71/1.56 tff(6958,plain,
% 1.71/1.56 (node18(s81, s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6957, 71, 6874])).
% 1.71/1.56 tff(6959,plain,
% 1.71/1.56 (((~![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(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, 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(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6960,plain,
% 1.71/1.56 (((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1)) <=> (node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6961,plain,
% 1.71/1.56 (((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, 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(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)))),
% 1.71/1.56 inference(monotonicity,[status(thm)],[6960])).
% 1.71/1.56 tff(6962,plain,
% 1.71/1.56 (((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, 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(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 1.71/1.56 inference(transitivity,[status(thm)],[6961, 6959])).
% 1.71/1.56 tff(6963,plain,
% 1.71/1.56 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6964,plain,
% 1.71/1.56 ((~![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(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 1.71/1.56 tff(6965,plain,
% 1.71/1.56 (node15(s81) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6964, 863, 6958])).
% 1.71/1.56 tff(6966,plain,
% 1.71/1.56 (m_main_v_turn(s82, c_1)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6965, 6954, 6791, 6859])).
% 1.71/1.56 tff(6967,plain,
% 1.71/1.56 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6968,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6969,plain,
% 1.71/1.56 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 1.71/1.56 tff(6970,plain,
% 1.71/1.56 (~m_main_v_turn(s82, c_2)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6969, 322, 6966])).
% 1.71/1.56 tff(6971,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6972,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6973,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 1.71/1.56 tff(6974,plain,
% 1.71/1.56 (~node12(s82)),
% 1.71/1.56 inference(unit_resolution,[status(thm)],[6973, 350, 6970])).
% 1.71/1.56 tff(6975,plain,
% 1.71/1.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 1.71/1.56 inference(rewrite,[status(thm)],[])).
% 1.71/1.56 tff(6976,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 1.71/1.56 inference(quant_inst,[status(thm)],[])).
% 1.71/1.56 tff(6977,plain,
% 1.71/1.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82))),
% 1.71/1.56 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 1.71/1.56 tff(6978,plain,
% 1.71/1.57 (~node8(s82)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[6977, 383, 6907])).
% 1.71/1.57 tff(6979,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(6980,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(6981,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[6980, 6979])).
% 1.71/1.57 tff(6982,plain,
% 1.71/1.57 (~node9(s82)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[6981, 311, 6907])).
% 1.71/1.57 tff(6983,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(6984,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(6985,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 1.71/1.57 tff(6986,plain,
% 1.71/1.57 (~node10(s82)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[6985, 372, 6907])).
% 1.71/1.57 tff(6987,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(6988,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(6989,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 1.71/1.57 tff(6990,plain,
% 1.71/1.57 (~node11(s82)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[6989, 361, 6927])).
% 1.71/1.57 tff(6991,plain,
% 1.71/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(6992,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(6993,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[6992, 6991])).
% 1.71/1.57 tff(6994,plain,
% 1.71/1.57 (node14(s82, s83)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[6993, 130, 6938])).
% 1.71/1.57 tff(6995,plain,
% 1.71/1.57 (((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))) <=> ((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(6996,plain,
% 1.71/1.57 ((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(6997,plain,
% 1.71/1.57 ((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[6996, 6995])).
% 1.71/1.57 tff(6998,plain,
% 1.71/1.57 (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[6997, 401, 6994])).
% 1.71/1.57 tff(6999,plain,
% 1.71/1.57 (node13(s82, s83)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[6998, 6990, 6915, 6986, 6982, 6978, 6974])).
% 1.71/1.57 tff(7000,plain,
% 1.71/1.57 (((~![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(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))) <=> ((~![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(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7001,plain,
% 1.71/1.57 (((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2)) <=> ((~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7002,plain,
% 1.71/1.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, 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(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))))),
% 1.71/1.57 inference(monotonicity,[status(thm)],[7001])).
% 1.71/1.57 tff(7003,plain,
% 1.71/1.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, 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(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 1.71/1.57 inference(transitivity,[status(thm)],[7002, 7000])).
% 1.71/1.57 tff(7004,plain,
% 1.71/1.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7005,plain,
% 1.71/1.57 ((~![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(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 1.71/1.57 tff(7006,plain,
% 1.71/1.57 (m_main_v_state2(s83, c_t2)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7005, 563, 6903, 6999])).
% 1.71/1.57 tff(7007,plain,
% 1.71/1.57 (succ(s83, s84) <=> succ(s83, s84)),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7008,axiom,(succ(s83, s84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound84')).
% 1.71/1.57 tff(7009,plain,
% 1.71/1.57 (succ(s83, s84)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 1.71/1.57 tff(7010,plain,
% 1.71/1.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7011,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7012,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 1.71/1.57 tff(7013,plain,
% 1.71/1.57 (trans(s83, s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7012, 7009, 57])).
% 1.71/1.57 tff(7014,plain,
% 1.71/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7015,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7016,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7015, 7014])).
% 1.71/1.57 tff(7017,plain,
% 1.71/1.57 (node7(s83, s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7016, 217, 7013])).
% 1.71/1.57 tff(7018,plain,
% 1.71/1.57 (((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, 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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7019,plain,
% 1.71/1.57 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7020,plain,
% 1.71/1.57 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 1.71/1.57 tff(7021,plain,
% 1.71/1.57 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_state1(s84, c_t1)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7020, 598, 7017])).
% 1.71/1.57 tff(7022,plain,
% 1.71/1.57 (m_main_v_state1(s84, c_t1)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7021, 7006, 6950])).
% 1.71/1.57 tff(7023,plain,
% 1.71/1.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7024,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7025,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 1.71/1.57 tff(7026,plain,
% 1.71/1.57 (~m_main_v_state1(s84, c_n1)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7025, 35, 7022])).
% 1.71/1.57 tff(7027,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7028,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7029,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 1.71/1.57 tff(7030,plain,
% 1.71/1.57 (~node1(s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7029, 249, 7026])).
% 1.71/1.57 tff(7031,plain,
% 1.71/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7032,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7033,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7032, 7031])).
% 1.71/1.57 tff(7034,plain,
% 1.71/1.57 (node18(s83, s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7033, 71, 7013])).
% 1.71/1.57 tff(7035,plain,
% 1.71/1.57 (((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, 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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7036,plain,
% 1.71/1.57 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7037,plain,
% 1.71/1.57 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 1.71/1.57 tff(7038,plain,
% 1.71/1.57 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_turn(s84, c_2)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7037, 625, 7034])).
% 1.71/1.57 tff(7039,plain,
% 1.71/1.57 (m_main_v_turn(s84, c_2)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7038, 7006, 6950])).
% 1.71/1.57 tff(7040,plain,
% 1.71/1.57 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7041,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7042,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 1.71/1.57 tff(7043,plain,
% 1.71/1.57 (~m_main_v_turn(s84, c_1)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7042, 322, 7039])).
% 1.71/1.57 tff(7044,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7045,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7046,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 1.71/1.57 tff(7047,plain,
% 1.71/1.57 (~node5(s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7046, 641, 7043])).
% 1.71/1.57 tff(7048,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7049,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7050,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 1.71/1.57 tff(7051,plain,
% 1.71/1.57 (~node2(s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7050, 652, 7026])).
% 1.71/1.57 tff(7052,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7053,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7054,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7053, 7052])).
% 1.71/1.57 tff(7055,plain,
% 1.71/1.57 (~node3(s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7054, 663, 7026])).
% 1.71/1.57 tff(7056,plain,
% 1.71/1.57 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7057,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7058,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 1.71/1.57 tff(7059,plain,
% 1.71/1.57 (~m_main_v_state1(s84, c_c1)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7058, 289, 7022])).
% 1.71/1.57 tff(7060,plain,
% 1.71/1.57 (((~![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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))) <=> ((~![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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7061,plain,
% 1.71/1.57 (((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2))) <=> (m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7062,plain,
% 1.71/1.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, 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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))))),
% 1.71/1.57 inference(monotonicity,[status(thm)],[7061])).
% 1.71/1.57 tff(7063,plain,
% 1.71/1.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, 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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 1.71/1.57 inference(transitivity,[status(thm)],[7062, 7060])).
% 1.71/1.57 tff(7064,plain,
% 1.71/1.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7065,plain,
% 1.71/1.57 ((~![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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 1.71/1.57 tff(7066,plain,
% 1.71/1.57 (~m_main_v_state2(s83, c_n2)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7065, 416, 6907, 6999])).
% 1.71/1.57 tff(7067,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7068,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7069,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 1.71/1.57 tff(7070,plain,
% 1.71/1.57 (~node9(s83)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7069, 311, 7066])).
% 1.71/1.57 tff(7071,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7072,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7073,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 1.71/1.57 tff(7074,plain,
% 1.71/1.57 (~node10(s83)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7073, 372, 7066])).
% 1.71/1.57 tff(7075,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7076,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7077,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 1.71/1.57 tff(7078,plain,
% 1.71/1.57 (~node8(s83)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7077, 383, 7066])).
% 1.71/1.57 tff(7079,plain,
% 1.71/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7080,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7081,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 1.71/1.57 tff(7082,plain,
% 1.71/1.57 (node14(s83, s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7081, 130, 7013])).
% 1.71/1.57 tff(7083,plain,
% 1.71/1.57 (((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, 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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7084,plain,
% 1.71/1.57 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7085,plain,
% 1.71/1.57 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 1.71/1.57 tff(7086,plain,
% 1.71/1.57 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | m_main_v_state2(s84, c_c2)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7085, 704, 7082])).
% 1.71/1.57 tff(7087,plain,
% 1.71/1.57 (m_main_v_state2(s84, c_c2)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7086, 7078, 6950, 7006, 7074, 7070])).
% 1.71/1.57 tff(7088,plain,
% 1.71/1.57 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7089,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7090,plain,
% 1.71/1.57 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 1.71/1.57 tff(7091,plain,
% 1.71/1.57 (~m_main_v_state2(s84, c_n2)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7090, 716, 7087])).
% 1.71/1.57 tff(7092,plain,
% 1.71/1.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7093,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7094,plain,
% 1.71/1.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84))),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 1.71/1.57 tff(7095,plain,
% 1.71/1.57 (~node4(s84)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7094, 162, 7091])).
% 1.71/1.57 tff(7096,plain,
% 1.71/1.57 (succ(s84, s85) <=> succ(s84, s85)),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7097,axiom,(succ(s84, s85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound85')).
% 1.71/1.57 tff(7098,plain,
% 1.71/1.57 (succ(s84, s85)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7097, 7096])).
% 1.71/1.57 tff(7099,plain,
% 1.71/1.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7100,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7101,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7100, 7099])).
% 1.71/1.57 tff(7102,plain,
% 1.71/1.57 (trans(s84, s85)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7101, 7098, 57])).
% 1.71/1.57 tff(7103,plain,
% 1.71/1.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7104,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))),
% 1.71/1.57 inference(quant_inst,[status(thm)],[])).
% 1.71/1.57 tff(7105,plain,
% 1.71/1.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85)),
% 1.71/1.57 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 1.71/1.57 tff(7106,plain,
% 1.71/1.57 (node7(s84, s85)),
% 1.71/1.57 inference(unit_resolution,[status(thm)],[7105, 217, 7102])).
% 1.71/1.57 tff(7107,plain,
% 1.71/1.57 (((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))) <=> ((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 1.71/1.57 inference(rewrite,[status(thm)],[])).
% 1.71/1.57 tff(7108,plain,
% 1.71/1.57 ((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7109,plain,
% 1.71/1.58 ((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 1.71/1.58 tff(7110,plain,
% 1.71/1.58 (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7109, 745, 7106])).
% 1.71/1.58 tff(7111,plain,
% 1.71/1.58 (node6(s84, s85)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7110, 7095, 7059, 7055, 7051, 7047, 7030])).
% 1.71/1.58 tff(7112,plain,
% 1.71/1.58 (((~![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(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))) <=> ((~![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(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7113,plain,
% 1.71/1.58 (((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1)) <=> ((~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7114,plain,
% 1.71/1.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, 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(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85))))),
% 1.71/1.58 inference(monotonicity,[status(thm)],[7113])).
% 1.71/1.58 tff(7115,plain,
% 1.71/1.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, 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(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 1.71/1.58 inference(transitivity,[status(thm)],[7114, 7112])).
% 1.71/1.58 tff(7116,plain,
% 1.71/1.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7117,plain,
% 1.71/1.58 ((~![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(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 1.71/1.58 tff(7118,plain,
% 1.71/1.58 (m_main_v_state1(s85, c_t1)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7117, 760, 7022, 7111])).
% 1.71/1.58 tff(7119,plain,
% 1.71/1.58 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7120,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7121,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7120, 7119])).
% 1.71/1.58 tff(7122,plain,
% 1.71/1.58 (~m_main_v_state2(s84, c_t2)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7121, 173, 7087])).
% 1.71/1.58 tff(7123,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7124,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7125,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 1.71/1.58 tff(7126,plain,
% 1.71/1.58 (~node12(s84)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7125, 778, 7122])).
% 1.71/1.58 tff(7127,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7128,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7129,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 1.71/1.58 tff(7130,plain,
% 1.71/1.58 (~node11(s84)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7129, 361, 7026])).
% 1.71/1.58 tff(7131,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7132,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7133,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 1.71/1.58 tff(7134,plain,
% 1.71/1.58 (~node10(s84)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7133, 793, 7059])).
% 1.71/1.58 tff(7135,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7136,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7137,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 1.71/1.58 tff(7138,plain,
% 1.71/1.58 (~node9(s84)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7137, 804, 7026])).
% 1.71/1.58 tff(7139,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7140,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7141,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 1.71/1.58 tff(7142,plain,
% 1.71/1.58 (~node8(s84)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7141, 383, 7091])).
% 1.71/1.58 tff(7143,plain,
% 1.71/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7144,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7145,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85)),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 1.71/1.58 tff(7146,plain,
% 1.71/1.58 (node14(s84, s85)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7145, 130, 7102])).
% 1.71/1.58 tff(7147,plain,
% 1.71/1.58 (((~![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(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, 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(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7148,plain,
% 1.71/1.58 (((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2)) <=> (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7149,plain,
% 1.71/1.58 (((~![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(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, 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(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))))),
% 1.71/1.58 inference(monotonicity,[status(thm)],[7148])).
% 1.71/1.58 tff(7150,plain,
% 1.71/1.58 (((~![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(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, 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(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 1.71/1.58 inference(transitivity,[status(thm)],[7149, 7147])).
% 1.71/1.58 tff(7151,plain,
% 1.71/1.58 ((~![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(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7152,plain,
% 1.71/1.58 ((~![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(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 1.71/1.58 tff(7153,plain,
% 1.71/1.58 (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~m_main_v_state2(s84, c_c2))),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7152, 826, 7146])).
% 1.71/1.58 tff(7154,plain,
% 1.71/1.58 (m_main_v_state2(s85, c_n2)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7153, 7142, 7087, 7138, 7134, 7130, 7126])).
% 1.71/1.58 tff(7155,plain,
% 1.71/1.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7156,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7157,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 1.71/1.58 tff(7158,plain,
% 1.71/1.58 (~m_main_v_state2(s85, c_t2)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7157, 10, 7154])).
% 1.71/1.58 tff(7159,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7160,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7161,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 1.71/1.58 tff(7162,plain,
% 1.71/1.58 (~node15(s85)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7161, 21, 7158])).
% 1.71/1.58 tff(7163,plain,
% 1.71/1.58 (succ(s85, s86) <=> succ(s85, s86)),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7164,axiom,(succ(s85, s86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound86')).
% 1.71/1.58 tff(7165,plain,
% 1.71/1.58 (succ(s85, s86)),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 1.71/1.58 tff(7166,plain,
% 1.71/1.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7167,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7168,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 1.71/1.58 tff(7169,plain,
% 1.71/1.58 (trans(s85, s86)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7168, 7165, 57])).
% 1.71/1.58 tff(7170,plain,
% 1.71/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7171,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7172,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86)),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 1.71/1.58 tff(7173,plain,
% 1.71/1.58 (node18(s85, s86)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7172, 71, 7169])).
% 1.71/1.58 tff(7174,plain,
% 1.71/1.58 (((~![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(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, 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(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7175,plain,
% 1.71/1.58 (((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1)) <=> (node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7176,plain,
% 1.71/1.58 (((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, 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(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)))),
% 1.71/1.58 inference(monotonicity,[status(thm)],[7175])).
% 1.71/1.58 tff(7177,plain,
% 1.71/1.58 (((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, 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(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 1.71/1.58 inference(transitivity,[status(thm)],[7176, 7174])).
% 1.71/1.58 tff(7178,plain,
% 1.71/1.58 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7179,plain,
% 1.71/1.58 ((~![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(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 1.71/1.58 tff(7180,plain,
% 1.71/1.58 (node15(s85) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7179, 863, 7173])).
% 1.71/1.58 tff(7181,plain,
% 1.71/1.58 (m_main_v_turn(s86, c_1)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7180, 7162, 7154, 7118])).
% 1.71/1.58 tff(7182,plain,
% 1.71/1.58 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7183,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7184,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 1.71/1.58 tff(7185,plain,
% 1.71/1.58 (~m_main_v_turn(s86, c_2)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7184, 322, 7181])).
% 1.71/1.58 tff(7186,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7187,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7188,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 1.71/1.58 tff(7189,plain,
% 1.71/1.58 (~node12(s86)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7188, 350, 7185])).
% 1.71/1.58 tff(7190,plain,
% 1.71/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7191,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7192,plain,
% 1.71/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86)),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 1.71/1.58 tff(7193,plain,
% 1.71/1.58 (node14(s85, s86)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7192, 130, 7169])).
% 1.71/1.58 tff(7194,plain,
% 1.71/1.58 (((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, 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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7195,plain,
% 1.71/1.58 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7196,plain,
% 1.71/1.58 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2)),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 1.71/1.58 tff(7197,plain,
% 1.71/1.58 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state2(s86, c_t2)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7196, 893, 7193])).
% 1.71/1.58 tff(7198,plain,
% 1.71/1.58 (m_main_v_state2(s86, c_t2)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7197, 7118, 7154])).
% 1.71/1.58 tff(7199,plain,
% 1.71/1.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7200,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7201,plain,
% 1.71/1.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7200, 7199])).
% 1.71/1.58 tff(7202,plain,
% 1.71/1.58 (~m_main_v_state2(s86, c_n2)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7201, 10, 7198])).
% 1.71/1.58 tff(7203,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7204,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7205,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 1.71/1.58 tff(7206,plain,
% 1.71/1.58 (~node8(s86)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7205, 383, 7202])).
% 1.71/1.58 tff(7207,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.58 tff(7208,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 1.71/1.58 inference(quant_inst,[status(thm)],[])).
% 1.71/1.58 tff(7209,plain,
% 1.71/1.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86))),
% 1.71/1.58 inference(modus_ponens,[status(thm)],[7208, 7207])).
% 1.71/1.58 tff(7210,plain,
% 1.71/1.58 (~node9(s86)),
% 1.71/1.58 inference(unit_resolution,[status(thm)],[7209, 311, 7202])).
% 1.71/1.58 tff(7211,plain,
% 1.71/1.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 1.71/1.58 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7212,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7213,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 1.71/1.59 tff(7214,plain,
% 1.71/1.59 (~node10(s86)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7213, 372, 7202])).
% 1.71/1.59 tff(7215,plain,
% 1.71/1.59 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7216,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7217,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7216, 7215])).
% 1.71/1.59 tff(7218,plain,
% 1.71/1.59 (~m_main_v_state2(s86, c_c2)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7217, 173, 7198])).
% 1.71/1.59 tff(7219,plain,
% 1.71/1.59 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7220,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7221,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 1.71/1.59 tff(7222,plain,
% 1.71/1.59 (~m_main_v_state2(s85, c_c2)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7221, 716, 7154])).
% 1.71/1.59 tff(7223,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7224,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7225,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 1.71/1.59 tff(7226,plain,
% 1.71/1.59 (~node3(s85)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7225, 184, 7222])).
% 1.71/1.59 tff(7227,plain,
% 1.71/1.59 (((~![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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))) <=> ((~![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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7228,plain,
% 1.71/1.59 (((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1))) <=> (m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7229,plain,
% 1.71/1.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, 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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))))),
% 1.71/1.59 inference(monotonicity,[status(thm)],[7228])).
% 1.71/1.59 tff(7230,plain,
% 1.71/1.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, 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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 1.71/1.59 inference(transitivity,[status(thm)],[7229, 7227])).
% 1.71/1.59 tff(7231,plain,
% 1.71/1.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7232,plain,
% 1.71/1.59 ((~![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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 1.71/1.59 tff(7233,plain,
% 1.71/1.59 (~m_main_v_state1(s85, c_n1)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7232, 936, 7026, 7111])).
% 1.71/1.59 tff(7234,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7235,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7236,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 1.71/1.59 tff(7237,plain,
% 1.71/1.59 (~node2(s85)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7236, 652, 7233])).
% 1.71/1.59 tff(7238,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7239,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7240,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 1.71/1.59 tff(7241,plain,
% 1.71/1.59 (~node1(s85)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7240, 206, 7158])).
% 1.71/1.59 tff(7242,plain,
% 1.71/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7243,plain,
% 1.71/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7244,plain,
% 1.71/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86)),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 1.71/1.59 tff(7245,plain,
% 1.71/1.59 (node7(s85, s86)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7244, 217, 7169])).
% 1.71/1.59 tff(7246,plain,
% 1.71/1.59 (((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))) <=> ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7247,plain,
% 1.71/1.59 (((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1)) <=> ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7248,plain,
% 1.71/1.59 (((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, 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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86))))),
% 1.71/1.59 inference(monotonicity,[status(thm)],[7247])).
% 1.71/1.59 tff(7249,plain,
% 1.71/1.59 (((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, 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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 1.71/1.59 inference(transitivity,[status(thm)],[7248, 7246])).
% 1.71/1.59 tff(7250,plain,
% 1.71/1.59 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7251,plain,
% 1.71/1.59 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 1.71/1.59 tff(7252,plain,
% 1.71/1.59 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7251, 965, 7245])).
% 1.71/1.59 tff(7253,plain,
% 1.71/1.59 (m_main_v_state1(s86, c_c1)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7252, 7241, 7154, 7118, 7237, 7226])).
% 1.71/1.59 tff(7254,plain,
% 1.71/1.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7255,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7256,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 1.71/1.59 tff(7257,plain,
% 1.71/1.59 (~m_main_v_state1(s86, c_n1)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7256, 449, 7253])).
% 1.71/1.59 tff(7258,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7259,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7260,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 1.71/1.59 tff(7261,plain,
% 1.71/1.59 (~node11(s86)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7260, 361, 7257])).
% 1.71/1.59 tff(7262,plain,
% 1.71/1.59 (succ(s86, s87) <=> succ(s86, s87)),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7263,axiom,(succ(s86, s87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound87')).
% 1.71/1.59 tff(7264,plain,
% 1.71/1.59 (succ(s86, s87)),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 1.71/1.59 tff(7265,plain,
% 1.71/1.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7266,plain,
% 1.71/1.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7267,plain,
% 1.71/1.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 1.71/1.59 tff(7268,plain,
% 1.71/1.59 (trans(s86, s87)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7267, 7264, 57])).
% 1.71/1.59 tff(7269,plain,
% 1.71/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7270,plain,
% 1.71/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7271,plain,
% 1.71/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87)),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 1.71/1.59 tff(7272,plain,
% 1.71/1.59 (node14(s86, s87)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7271, 130, 7268])).
% 1.71/1.59 tff(7273,plain,
% 1.71/1.59 (((~![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(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))) <=> ((~![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(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7274,plain,
% 1.71/1.59 ((~![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(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7275,plain,
% 1.71/1.59 ((~![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(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7274, 7273])).
% 1.71/1.59 tff(7276,plain,
% 1.71/1.59 (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7275, 401, 7272])).
% 1.71/1.59 tff(7277,plain,
% 1.71/1.59 (node13(s86, s87)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7276, 7261, 7218, 7214, 7210, 7206, 7189])).
% 1.71/1.59 tff(7278,plain,
% 1.71/1.59 (((~![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(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))) <=> ((~![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(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7279,plain,
% 1.71/1.59 (((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2))) <=> (m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7280,plain,
% 1.71/1.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, 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(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))))),
% 1.71/1.59 inference(monotonicity,[status(thm)],[7279])).
% 1.71/1.59 tff(7281,plain,
% 1.71/1.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, 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(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 1.71/1.59 inference(transitivity,[status(thm)],[7280, 7278])).
% 1.71/1.59 tff(7282,plain,
% 1.71/1.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7283,plain,
% 1.71/1.59 ((~![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(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 1.71/1.59 tff(7284,plain,
% 1.71/1.59 (~m_main_v_state2(s87, c_n2)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7283, 416, 7202, 7277])).
% 1.71/1.59 tff(7285,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7286,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7287,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 1.71/1.59 tff(7288,plain,
% 1.71/1.59 (~node9(s87)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7287, 311, 7284])).
% 1.71/1.59 tff(7289,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7290,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7291,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 1.71/1.59 tff(7292,plain,
% 1.71/1.59 (~node10(s87)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7291, 372, 7284])).
% 1.71/1.59 tff(7293,plain,
% 1.71/1.59 (((~![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(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))) <=> ((~![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(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7294,plain,
% 1.71/1.59 (((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2)) <=> ((~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7295,plain,
% 1.71/1.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, 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(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87))))),
% 1.71/1.59 inference(monotonicity,[status(thm)],[7294])).
% 1.71/1.59 tff(7296,plain,
% 1.71/1.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, 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(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 1.71/1.59 inference(transitivity,[status(thm)],[7295, 7293])).
% 1.71/1.59 tff(7297,plain,
% 1.71/1.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7298,plain,
% 1.71/1.59 ((~![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(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7297, 7296])).
% 1.71/1.59 tff(7299,plain,
% 1.71/1.59 (m_main_v_state2(s87, c_t2)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7298, 563, 7198, 7277])).
% 1.71/1.59 tff(7300,plain,
% 1.71/1.59 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7301,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7302,plain,
% 1.71/1.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 1.71/1.59 tff(7303,plain,
% 1.71/1.59 (~m_main_v_state1(s86, c_t1)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7302, 289, 7253])).
% 1.71/1.59 tff(7304,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7305,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7306,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7305, 7304])).
% 1.71/1.59 tff(7307,plain,
% 1.71/1.59 (~node5(s86)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7306, 300, 7303])).
% 1.71/1.59 tff(7308,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7309,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7310,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 1.71/1.59 tff(7311,plain,
% 1.71/1.59 (~node4(s86)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7310, 162, 7202])).
% 1.71/1.59 tff(7312,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7313,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7314,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 1.71/1.59 tff(7315,plain,
% 1.71/1.59 (~node3(s86)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7314, 184, 7218])).
% 1.71/1.59 tff(7316,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 1.71/1.59 inference(rewrite,[status(thm)],[])).
% 1.71/1.59 tff(7317,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 1.71/1.59 inference(quant_inst,[status(thm)],[])).
% 1.71/1.59 tff(7318,plain,
% 1.71/1.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86))),
% 1.71/1.59 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 1.71/1.59 tff(7319,plain,
% 1.71/1.59 (~node2(s86)),
% 1.71/1.59 inference(unit_resolution,[status(thm)],[7318, 195, 7202])).
% 1.71/1.59 tff(7320,plain,
% 1.71/1.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7321,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7322,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 1.71/1.60 tff(7323,plain,
% 1.71/1.60 (~node1(s86)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7322, 249, 7257])).
% 1.71/1.60 tff(7324,plain,
% 1.71/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7325,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7326,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 1.71/1.60 tff(7327,plain,
% 1.71/1.60 (node7(s86, s87)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7326, 217, 7268])).
% 1.71/1.60 tff(7328,plain,
% 1.71/1.60 (((~![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(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))) <=> ((~![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(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7329,plain,
% 1.71/1.60 (((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1)) <=> (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7330,plain,
% 1.71/1.60 (((~![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(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, 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(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))))),
% 1.71/1.60 inference(monotonicity,[status(thm)],[7329])).
% 1.71/1.60 tff(7331,plain,
% 1.71/1.60 (((~![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(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, 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(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 1.71/1.60 inference(transitivity,[status(thm)],[7330, 7328])).
% 1.71/1.60 tff(7332,plain,
% 1.71/1.60 ((~![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(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7333,plain,
% 1.71/1.60 ((~![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(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7332, 7331])).
% 1.71/1.60 tff(7334,plain,
% 1.71/1.60 (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7333, 478, 7327])).
% 1.71/1.60 tff(7335,plain,
% 1.71/1.60 (m_main_v_state1(s87, c_n1)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7334, 7323, 7253, 7319, 7315, 7311, 7307])).
% 1.71/1.60 tff(7336,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7337,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7338,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 1.71/1.60 tff(7339,plain,
% 1.71/1.60 (~node8(s87)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7338, 383, 7284])).
% 1.71/1.60 tff(7340,plain,
% 1.71/1.60 (succ(s87, s88) <=> succ(s87, s88)),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7341,axiom,(succ(s87, s88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound88')).
% 1.71/1.60 tff(7342,plain,
% 1.71/1.60 (succ(s87, s88)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 1.71/1.60 tff(7343,plain,
% 1.71/1.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7344,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7345,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7344, 7343])).
% 1.71/1.60 tff(7346,plain,
% 1.71/1.60 (trans(s87, s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7345, 7342, 57])).
% 1.71/1.60 tff(7347,plain,
% 1.71/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7348,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7349,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 1.71/1.60 tff(7350,plain,
% 1.71/1.60 (node14(s87, s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7349, 130, 7346])).
% 1.71/1.60 tff(7351,plain,
% 1.71/1.60 (((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, 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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7352,plain,
% 1.71/1.60 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7353,plain,
% 1.71/1.60 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 1.71/1.60 tff(7354,plain,
% 1.71/1.60 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | m_main_v_state2(s88, c_c2)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7353, 704, 7350])).
% 1.71/1.60 tff(7355,plain,
% 1.71/1.60 (m_main_v_state2(s88, c_c2)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7354, 7339, 7335, 7299, 7292, 7288])).
% 1.71/1.60 tff(7356,plain,
% 1.71/1.60 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7357,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7358,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 1.71/1.60 tff(7359,plain,
% 1.71/1.60 (~m_main_v_state2(s88, c_t2)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7358, 173, 7355])).
% 1.71/1.60 tff(7360,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7361,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7362,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 1.71/1.60 tff(7363,plain,
% 1.71/1.60 (~node12(s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7362, 778, 7359])).
% 1.71/1.60 tff(7364,plain,
% 1.71/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7365,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7366,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 1.71/1.60 tff(7367,plain,
% 1.71/1.60 (node7(s87, s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7366, 217, 7346])).
% 1.71/1.60 tff(7368,plain,
% 1.71/1.60 (((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, 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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7369,plain,
% 1.71/1.60 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7370,plain,
% 1.71/1.60 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 1.71/1.60 tff(7371,plain,
% 1.71/1.60 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_state1(s88, c_t1)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7370, 598, 7367])).
% 1.71/1.60 tff(7372,plain,
% 1.71/1.60 (m_main_v_state1(s88, c_t1)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7371, 7299, 7335])).
% 1.71/1.60 tff(7373,plain,
% 1.71/1.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7374,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7375,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 1.71/1.60 tff(7376,plain,
% 1.71/1.60 (~m_main_v_state1(s88, c_n1)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7375, 35, 7372])).
% 1.71/1.60 tff(7377,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7378,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7379,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 1.71/1.60 tff(7380,plain,
% 1.71/1.60 (~node11(s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7379, 361, 7376])).
% 1.71/1.60 tff(7381,plain,
% 1.71/1.60 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7382,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7383,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7382, 7381])).
% 1.71/1.60 tff(7384,plain,
% 1.71/1.60 (~m_main_v_state1(s88, c_c1)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7383, 289, 7372])).
% 1.71/1.60 tff(7385,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7386,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7387,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 1.71/1.60 tff(7388,plain,
% 1.71/1.60 (~node10(s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7387, 793, 7384])).
% 1.71/1.60 tff(7389,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7390,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7391,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 1.71/1.60 tff(7392,plain,
% 1.71/1.60 (~node9(s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7391, 804, 7376])).
% 1.71/1.60 tff(7393,plain,
% 1.71/1.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7394,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7395,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 1.71/1.60 tff(7396,plain,
% 1.71/1.60 (~m_main_v_state2(s88, c_n2)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7395, 716, 7355])).
% 1.71/1.60 tff(7397,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7398,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7399,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 1.71/1.60 tff(7400,plain,
% 1.71/1.60 (~node8(s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7399, 383, 7396])).
% 1.71/1.60 tff(7401,plain,
% 1.71/1.60 (succ(s88, s89) <=> succ(s88, s89)),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7402,axiom,(succ(s88, s89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound89')).
% 1.71/1.60 tff(7403,plain,
% 1.71/1.60 (succ(s88, s89)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7402, 7401])).
% 1.71/1.60 tff(7404,plain,
% 1.71/1.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7405,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7406,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 1.71/1.60 tff(7407,plain,
% 1.71/1.60 (trans(s88, s89)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7406, 7403, 57])).
% 1.71/1.60 tff(7408,plain,
% 1.71/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7409,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7410,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 1.71/1.60 tff(7411,plain,
% 1.71/1.60 (node14(s88, s89)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7410, 130, 7407])).
% 1.71/1.60 tff(7412,plain,
% 1.71/1.60 (((~![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(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, 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(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7413,plain,
% 1.71/1.60 (((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2)) <=> (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7414,plain,
% 1.71/1.60 (((~![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(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, 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(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))))),
% 1.71/1.60 inference(monotonicity,[status(thm)],[7413])).
% 1.71/1.60 tff(7415,plain,
% 1.71/1.60 (((~![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(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, 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(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 1.71/1.60 inference(transitivity,[status(thm)],[7414, 7412])).
% 1.71/1.60 tff(7416,plain,
% 1.71/1.60 ((~![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(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7417,plain,
% 1.71/1.60 ((~![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(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7416, 7415])).
% 1.71/1.60 tff(7418,plain,
% 1.71/1.60 (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~m_main_v_state2(s88, c_c2))),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7417, 826, 7411])).
% 1.71/1.60 tff(7419,plain,
% 1.71/1.60 (m_main_v_state2(s89, c_n2)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7418, 7400, 7355, 7392, 7388, 7380, 7363])).
% 1.71/1.60 tff(7420,plain,
% 1.71/1.60 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7421,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7422,plain,
% 1.71/1.60 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 1.71/1.60 tff(7423,plain,
% 1.71/1.60 (~m_main_v_state2(s89, c_c2)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7422, 716, 7419])).
% 1.71/1.60 tff(7424,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7425,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7426,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 1.71/1.60 tff(7427,plain,
% 1.71/1.60 (~node3(s89)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7426, 184, 7423])).
% 1.71/1.60 tff(7428,plain,
% 1.71/1.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7429,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7430,plain,
% 1.71/1.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88))),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7429, 7428])).
% 1.71/1.60 tff(7431,plain,
% 1.71/1.60 (~node1(s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7430, 249, 7376])).
% 1.71/1.60 tff(7432,plain,
% 1.71/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7433,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.60 tff(7434,plain,
% 1.71/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88)),
% 1.71/1.60 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 1.71/1.60 tff(7435,plain,
% 1.71/1.60 (node18(s87, s88)),
% 1.71/1.60 inference(unit_resolution,[status(thm)],[7434, 71, 7346])).
% 1.71/1.60 tff(7436,plain,
% 1.71/1.60 (((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, 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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 1.71/1.60 inference(rewrite,[status(thm)],[])).
% 1.71/1.60 tff(7437,plain,
% 1.71/1.60 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 1.71/1.60 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7438,plain,
% 1.71/1.61 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 1.71/1.61 tff(7439,plain,
% 1.71/1.61 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_turn(s88, c_2)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7438, 625, 7435])).
% 1.71/1.61 tff(7440,plain,
% 1.71/1.61 (m_main_v_turn(s88, c_2)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7439, 7299, 7335])).
% 1.71/1.61 tff(7441,plain,
% 1.71/1.61 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7442,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7443,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 1.71/1.61 tff(7444,plain,
% 1.71/1.61 (~m_main_v_turn(s88, c_1)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7443, 322, 7440])).
% 1.71/1.61 tff(7445,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7446,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7447,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 1.71/1.61 tff(7448,plain,
% 1.71/1.61 (~node5(s88)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7447, 641, 7444])).
% 1.71/1.61 tff(7449,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7450,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7451,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 1.71/1.61 tff(7452,plain,
% 1.71/1.61 (~node2(s88)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7451, 652, 7376])).
% 1.71/1.61 tff(7453,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7454,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7455,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 1.71/1.61 tff(7456,plain,
% 1.71/1.61 (~node3(s88)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7455, 663, 7376])).
% 1.71/1.61 tff(7457,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7458,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7459,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 1.71/1.61 tff(7460,plain,
% 1.71/1.61 (~node4(s88)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7459, 162, 7396])).
% 1.71/1.61 tff(7461,plain,
% 1.71/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7462,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7463,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 1.71/1.61 tff(7464,plain,
% 1.71/1.61 (node7(s88, s89)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7463, 217, 7407])).
% 1.71/1.61 tff(7465,plain,
% 1.71/1.61 (((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))) <=> ((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7466,plain,
% 1.71/1.61 ((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7467,plain,
% 1.71/1.61 ((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 1.71/1.61 tff(7468,plain,
% 1.71/1.61 (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7467, 745, 7464])).
% 1.71/1.61 tff(7469,plain,
% 1.71/1.61 (node6(s88, s89)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7468, 7460, 7384, 7456, 7452, 7448, 7431])).
% 1.71/1.61 tff(7470,plain,
% 1.71/1.61 (((~![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(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))) <=> ((~![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(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7471,plain,
% 1.71/1.61 (((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1))) <=> (m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7472,plain,
% 1.71/1.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, 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(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))))),
% 1.71/1.61 inference(monotonicity,[status(thm)],[7471])).
% 1.71/1.61 tff(7473,plain,
% 1.71/1.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, 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(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 1.71/1.61 inference(transitivity,[status(thm)],[7472, 7470])).
% 1.71/1.61 tff(7474,plain,
% 1.71/1.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7475,plain,
% 1.71/1.61 ((~![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(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 1.71/1.61 tff(7476,plain,
% 1.71/1.61 (~m_main_v_state1(s89, c_n1)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7475, 936, 7376, 7469])).
% 1.71/1.61 tff(7477,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7478,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7479,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 1.71/1.61 tff(7480,plain,
% 1.71/1.61 (~node2(s89)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7479, 652, 7476])).
% 1.71/1.61 tff(7481,plain,
% 1.71/1.61 (((~![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(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))) <=> ((~![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(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7482,plain,
% 1.71/1.61 (((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1)) <=> ((~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7483,plain,
% 1.71/1.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, 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(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))))),
% 1.71/1.61 inference(monotonicity,[status(thm)],[7482])).
% 1.71/1.61 tff(7484,plain,
% 1.71/1.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, 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(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 1.71/1.61 inference(transitivity,[status(thm)],[7483, 7481])).
% 1.71/1.61 tff(7485,plain,
% 1.71/1.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7486,plain,
% 1.71/1.61 ((~![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(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 1.71/1.61 tff(7487,plain,
% 1.71/1.61 (m_main_v_state1(s89, c_t1)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7486, 760, 7372, 7469])).
% 1.71/1.61 tff(7488,plain,
% 1.71/1.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7489,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7490,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 1.71/1.61 tff(7491,plain,
% 1.71/1.61 (~m_main_v_state2(s89, c_t2)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7490, 10, 7419])).
% 1.71/1.61 tff(7492,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7493,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7494,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7493, 7492])).
% 1.71/1.61 tff(7495,plain,
% 1.71/1.61 (~node1(s89)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7494, 206, 7491])).
% 1.71/1.61 tff(7496,plain,
% 1.71/1.61 (succ(s89, s90) <=> succ(s89, s90)),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7497,axiom,(succ(s89, s90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound90')).
% 1.71/1.61 tff(7498,plain,
% 1.71/1.61 (succ(s89, s90)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 1.71/1.61 tff(7499,plain,
% 1.71/1.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7500,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7501,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 1.71/1.61 tff(7502,plain,
% 1.71/1.61 (trans(s89, s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7501, 7498, 57])).
% 1.71/1.61 tff(7503,plain,
% 1.71/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7504,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7505,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 1.71/1.61 tff(7506,plain,
% 1.71/1.61 (node7(s89, s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7505, 217, 7502])).
% 1.71/1.61 tff(7507,plain,
% 1.71/1.61 (((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))) <=> ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7508,plain,
% 1.71/1.61 (((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1)) <=> ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7509,plain,
% 1.71/1.61 (((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, 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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90))))),
% 1.71/1.61 inference(monotonicity,[status(thm)],[7508])).
% 1.71/1.61 tff(7510,plain,
% 1.71/1.61 (((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, 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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 1.71/1.61 inference(transitivity,[status(thm)],[7509, 7507])).
% 1.71/1.61 tff(7511,plain,
% 1.71/1.61 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7512,plain,
% 1.71/1.61 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 1.71/1.61 tff(7513,plain,
% 1.71/1.61 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7512, 965, 7506])).
% 1.71/1.61 tff(7514,plain,
% 1.71/1.61 (m_main_v_state1(s90, c_c1)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7513, 7495, 7419, 7487, 7480, 7427])).
% 1.71/1.61 tff(7515,plain,
% 1.71/1.61 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7516,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7517,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7516, 7515])).
% 1.71/1.61 tff(7518,plain,
% 1.71/1.61 (~m_main_v_state1(s90, c_t1)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7517, 289, 7514])).
% 1.71/1.61 tff(7519,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7520,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7521,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 1.71/1.61 tff(7522,plain,
% 1.71/1.61 (~node5(s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7521, 300, 7518])).
% 1.71/1.61 tff(7523,plain,
% 1.71/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7524,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7525,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 1.71/1.61 tff(7526,plain,
% 1.71/1.61 (node14(s89, s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7525, 130, 7502])).
% 1.71/1.61 tff(7527,plain,
% 1.71/1.61 (((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, 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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7528,plain,
% 1.71/1.61 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7529,plain,
% 1.71/1.61 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7528, 7527])).
% 1.71/1.61 tff(7530,plain,
% 1.71/1.61 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state2(s90, c_t2)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7529, 893, 7526])).
% 1.71/1.61 tff(7531,plain,
% 1.71/1.61 (m_main_v_state2(s90, c_t2)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7530, 7487, 7419])).
% 1.71/1.61 tff(7532,plain,
% 1.71/1.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7533,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7534,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 1.71/1.61 tff(7535,plain,
% 1.71/1.61 (~m_main_v_state2(s90, c_n2)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7534, 10, 7531])).
% 1.71/1.61 tff(7536,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7537,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7538,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 1.71/1.61 tff(7539,plain,
% 1.71/1.61 (~node4(s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7538, 162, 7535])).
% 1.71/1.61 tff(7540,plain,
% 1.71/1.61 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7541,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7542,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7541, 7540])).
% 1.71/1.61 tff(7543,plain,
% 1.71/1.61 (~m_main_v_state2(s90, c_c2)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7542, 173, 7531])).
% 1.71/1.61 tff(7544,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7545,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7546,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 1.71/1.61 tff(7547,plain,
% 1.71/1.61 (~node3(s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7546, 184, 7543])).
% 1.71/1.61 tff(7548,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7549,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7550,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 1.71/1.61 tff(7551,plain,
% 1.71/1.61 (~node2(s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7550, 195, 7535])).
% 1.71/1.61 tff(7552,plain,
% 1.71/1.61 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7553,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7554,plain,
% 1.71/1.61 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 1.71/1.61 tff(7555,plain,
% 1.71/1.61 (~m_main_v_state1(s90, c_n1)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7554, 449, 7514])).
% 1.71/1.61 tff(7556,plain,
% 1.71/1.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7557,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 1.71/1.61 inference(quant_inst,[status(thm)],[])).
% 1.71/1.61 tff(7558,plain,
% 1.71/1.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90))),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 1.71/1.61 tff(7559,plain,
% 1.71/1.61 (~node1(s90)),
% 1.71/1.61 inference(unit_resolution,[status(thm)],[7558, 249, 7555])).
% 1.71/1.61 tff(7560,plain,
% 1.71/1.61 (succ(s90, s91) <=> succ(s90, s91)),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7561,axiom,(succ(s90, s91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound91')).
% 1.71/1.61 tff(7562,plain,
% 1.71/1.61 (succ(s90, s91)),
% 1.71/1.61 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 1.71/1.61 tff(7563,plain,
% 1.71/1.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91))),
% 1.71/1.61 inference(rewrite,[status(thm)],[])).
% 1.71/1.61 tff(7564,plain,
% 1.71/1.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7565,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 1.71/1.62 tff(7566,plain,
% 1.71/1.62 (trans(s90, s91)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7565, 7562, 57])).
% 1.71/1.62 tff(7567,plain,
% 1.71/1.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7568,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7569,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 1.71/1.62 tff(7570,plain,
% 1.71/1.62 (node7(s90, s91)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7569, 217, 7566])).
% 1.71/1.62 tff(7571,plain,
% 1.71/1.62 (((~![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(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))) <=> ((~![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(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7572,plain,
% 1.71/1.62 (((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1)) <=> (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7573,plain,
% 1.71/1.62 (((~![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(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, 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(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))))),
% 1.71/1.62 inference(monotonicity,[status(thm)],[7572])).
% 1.71/1.62 tff(7574,plain,
% 1.71/1.62 (((~![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(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, 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(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 1.71/1.62 inference(transitivity,[status(thm)],[7573, 7571])).
% 1.71/1.62 tff(7575,plain,
% 1.71/1.62 ((~![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(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7576,plain,
% 1.71/1.62 ((~![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(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7575, 7574])).
% 1.71/1.62 tff(7577,plain,
% 1.71/1.62 (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7576, 478, 7570])).
% 1.71/1.62 tff(7578,plain,
% 1.71/1.62 (m_main_v_state1(s91, c_n1)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7577, 7559, 7514, 7551, 7547, 7539, 7522])).
% 1.71/1.62 tff(7579,plain,
% 1.71/1.62 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7580,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7581,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 1.71/1.62 tff(7582,plain,
% 1.71/1.62 (~node15(s89)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7581, 21, 7491])).
% 1.71/1.62 tff(7583,plain,
% 1.71/1.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7584,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7585,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 1.71/1.62 tff(7586,plain,
% 1.71/1.62 (node18(s89, s90)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7585, 71, 7502])).
% 1.71/1.62 tff(7587,plain,
% 1.71/1.62 (((~![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(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, 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(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7588,plain,
% 1.71/1.62 (((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1)) <=> (node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7589,plain,
% 1.71/1.62 (((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, 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(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)))),
% 1.71/1.62 inference(monotonicity,[status(thm)],[7588])).
% 1.71/1.62 tff(7590,plain,
% 1.71/1.62 (((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, 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(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 1.71/1.62 inference(transitivity,[status(thm)],[7589, 7587])).
% 1.71/1.62 tff(7591,plain,
% 1.71/1.62 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7592,plain,
% 1.71/1.62 ((~![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(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 1.71/1.62 tff(7593,plain,
% 1.71/1.62 (node15(s89) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7592, 863, 7586])).
% 1.71/1.62 tff(7594,plain,
% 1.71/1.62 (m_main_v_turn(s90, c_1)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7593, 7582, 7419, 7487])).
% 1.71/1.62 tff(7595,plain,
% 1.71/1.62 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7596,plain,
% 1.71/1.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7597,plain,
% 1.71/1.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7596, 7595])).
% 1.71/1.62 tff(7598,plain,
% 1.71/1.62 (~m_main_v_turn(s90, c_2)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7597, 322, 7594])).
% 1.71/1.62 tff(7599,plain,
% 1.71/1.62 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7600,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7601,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 1.71/1.62 tff(7602,plain,
% 1.71/1.62 (~node12(s90)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7601, 350, 7598])).
% 1.71/1.62 tff(7603,plain,
% 1.71/1.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7604,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7605,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 1.71/1.62 tff(7606,plain,
% 1.71/1.62 (~node8(s90)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7605, 383, 7535])).
% 1.71/1.62 tff(7607,plain,
% 1.71/1.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7608,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7609,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 1.71/1.62 tff(7610,plain,
% 1.71/1.62 (~node9(s90)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7609, 311, 7535])).
% 1.71/1.62 tff(7611,plain,
% 1.71/1.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7612,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7613,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 1.71/1.62 tff(7614,plain,
% 1.71/1.62 (~node10(s90)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7613, 372, 7535])).
% 1.71/1.62 tff(7615,plain,
% 1.71/1.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7616,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7617,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 1.71/1.62 tff(7618,plain,
% 1.71/1.62 (~node11(s90)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7617, 361, 7555])).
% 1.71/1.62 tff(7619,plain,
% 1.71/1.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7620,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7621,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 1.71/1.62 tff(7622,plain,
% 1.71/1.62 (node14(s90, s91)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7621, 130, 7566])).
% 1.71/1.62 tff(7623,plain,
% 1.71/1.62 (((~![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(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))) <=> ((~![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(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7624,plain,
% 1.71/1.62 ((~![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(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7625,plain,
% 1.71/1.62 ((~![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(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 1.71/1.62 tff(7626,plain,
% 1.71/1.62 (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7625, 401, 7622])).
% 1.71/1.62 tff(7627,plain,
% 1.71/1.62 (node13(s90, s91)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7626, 7618, 7543, 7614, 7610, 7606, 7602])).
% 1.71/1.62 tff(7628,plain,
% 1.71/1.62 (((~![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(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))) <=> ((~![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(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7629,plain,
% 1.71/1.62 (((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2)) <=> ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7630,plain,
% 1.71/1.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, 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(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))))),
% 1.71/1.62 inference(monotonicity,[status(thm)],[7629])).
% 1.71/1.62 tff(7631,plain,
% 1.71/1.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, 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(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 1.71/1.62 inference(transitivity,[status(thm)],[7630, 7628])).
% 1.71/1.62 tff(7632,plain,
% 1.71/1.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7633,plain,
% 1.71/1.62 ((~![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(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 1.71/1.62 tff(7634,plain,
% 1.71/1.62 (m_main_v_state2(s91, c_t2)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7633, 563, 7531, 7627])).
% 1.71/1.62 tff(7635,plain,
% 1.71/1.62 (succ(s91, s92) <=> succ(s91, s92)),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7636,axiom,(succ(s91, s92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound92')).
% 1.71/1.62 tff(7637,plain,
% 1.71/1.62 (succ(s91, s92)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 1.71/1.62 tff(7638,plain,
% 1.71/1.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7639,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7640,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 1.71/1.62 tff(7641,plain,
% 1.71/1.62 (trans(s91, s92)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7640, 7637, 57])).
% 1.71/1.62 tff(7642,plain,
% 1.71/1.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7643,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7644,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 1.71/1.62 tff(7645,plain,
% 1.71/1.62 (node7(s91, s92)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7644, 217, 7641])).
% 1.71/1.62 tff(7646,plain,
% 1.71/1.62 (((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, 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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7647,plain,
% 1.71/1.62 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7648,plain,
% 1.71/1.62 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7647, 7646])).
% 1.71/1.62 tff(7649,plain,
% 1.71/1.62 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_state1(s92, c_t1)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7648, 598, 7645])).
% 1.71/1.62 tff(7650,plain,
% 1.71/1.62 (m_main_v_state1(s92, c_t1)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7649, 7634, 7578])).
% 1.71/1.62 tff(7651,plain,
% 1.71/1.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7652,plain,
% 1.71/1.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7653,plain,
% 1.71/1.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 1.71/1.62 tff(7654,plain,
% 1.71/1.62 (~m_main_v_state1(s92, c_n1)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7653, 35, 7650])).
% 1.71/1.62 tff(7655,plain,
% 1.71/1.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7656,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7657,plain,
% 1.71/1.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92))),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 1.71/1.62 tff(7658,plain,
% 1.71/1.62 (~node1(s92)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7657, 249, 7654])).
% 1.71/1.62 tff(7659,plain,
% 1.71/1.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7660,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7661,plain,
% 1.71/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92)),
% 1.71/1.62 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 1.71/1.62 tff(7662,plain,
% 1.71/1.62 (node18(s91, s92)),
% 1.71/1.62 inference(unit_resolution,[status(thm)],[7661, 71, 7641])).
% 1.71/1.62 tff(7663,plain,
% 1.71/1.62 (((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, 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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 1.71/1.62 inference(rewrite,[status(thm)],[])).
% 1.71/1.62 tff(7664,plain,
% 1.71/1.62 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 1.71/1.62 inference(quant_inst,[status(thm)],[])).
% 1.71/1.62 tff(7665,plain,
% 1.71/1.62 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2)),
% 1.71/1.63 inference(modus_ponens,[status(thm)],[7664, 7663])).
% 1.71/1.63 tff(7666,plain,
% 1.71/1.63 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_turn(s92, c_2)),
% 1.71/1.63 inference(unit_resolution,[status(thm)],[7665, 625, 7662])).
% 1.71/1.63 tff(7667,plain,
% 1.71/1.63 (m_main_v_turn(s92, c_2)),
% 1.71/1.63 inference(unit_resolution,[status(thm)],[7666, 7634, 7578])).
% 1.71/1.63 tff(7668,plain,
% 1.71/1.63 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))),
% 1.71/1.63 inference(rewrite,[status(thm)],[])).
% 1.71/1.63 tff(7669,plain,
% 1.71/1.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))),
% 1.71/1.63 inference(quant_inst,[status(thm)],[])).
% 1.71/1.63 tff(7670,plain,
% 1.71/1.63 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 1.80/1.63 tff(7671,plain,
% 1.80/1.63 (~m_main_v_turn(s92, c_1)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7670, 322, 7667])).
% 1.80/1.63 tff(7672,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7673,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7674,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 1.80/1.63 tff(7675,plain,
% 1.80/1.63 (~node5(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7674, 641, 7671])).
% 1.80/1.63 tff(7676,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7677,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7678,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 1.80/1.63 tff(7679,plain,
% 1.80/1.63 (~node2(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7678, 652, 7654])).
% 1.80/1.63 tff(7680,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7681,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7682,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 1.80/1.63 tff(7683,plain,
% 1.80/1.63 (~node3(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7682, 663, 7654])).
% 1.80/1.63 tff(7684,plain,
% 1.80/1.63 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7685,plain,
% 1.80/1.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7686,plain,
% 1.80/1.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 1.80/1.63 tff(7687,plain,
% 1.80/1.63 (~m_main_v_state1(s92, c_c1)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7686, 289, 7650])).
% 1.80/1.63 tff(7688,plain,
% 1.80/1.63 (((~![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(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))) <=> ((~![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(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7689,plain,
% 1.80/1.63 (((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2))) <=> (m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7690,plain,
% 1.80/1.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, 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(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91))))),
% 1.80/1.63 inference(monotonicity,[status(thm)],[7689])).
% 1.80/1.63 tff(7691,plain,
% 1.80/1.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, 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(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 1.80/1.63 inference(transitivity,[status(thm)],[7690, 7688])).
% 1.80/1.63 tff(7692,plain,
% 1.80/1.63 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7693,plain,
% 1.80/1.63 ((~![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(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 1.80/1.63 tff(7694,plain,
% 1.80/1.63 (~m_main_v_state2(s91, c_n2)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7693, 416, 7535, 7627])).
% 1.80/1.63 tff(7695,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7696,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7697,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 1.80/1.63 tff(7698,plain,
% 1.80/1.63 (~node9(s91)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7697, 311, 7694])).
% 1.80/1.63 tff(7699,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7700,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7701,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 1.80/1.63 tff(7702,plain,
% 1.80/1.63 (~node10(s91)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7701, 372, 7694])).
% 1.80/1.63 tff(7703,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7704,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7705,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 1.80/1.63 tff(7706,plain,
% 1.80/1.63 (~node8(s91)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7705, 383, 7694])).
% 1.80/1.63 tff(7707,plain,
% 1.80/1.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7708,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7709,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92)),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 1.80/1.63 tff(7710,plain,
% 1.80/1.63 (node14(s91, s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7709, 130, 7641])).
% 1.80/1.63 tff(7711,plain,
% 1.80/1.63 (((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, 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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7712,plain,
% 1.80/1.63 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7713,plain,
% 1.80/1.63 ((~![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(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2)),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 1.80/1.63 tff(7714,plain,
% 1.80/1.63 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | m_main_v_state2(s92, c_c2)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7713, 704, 7710])).
% 1.80/1.63 tff(7715,plain,
% 1.80/1.63 (m_main_v_state2(s92, c_c2)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7714, 7706, 7578, 7634, 7702, 7698])).
% 1.80/1.63 tff(7716,plain,
% 1.80/1.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7717,plain,
% 1.80/1.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7718,plain,
% 1.80/1.63 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 1.80/1.63 tff(7719,plain,
% 1.80/1.63 (~m_main_v_state2(s92, c_n2)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7718, 716, 7715])).
% 1.80/1.63 tff(7720,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7721,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7722,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 1.80/1.63 tff(7723,plain,
% 1.80/1.63 (~node4(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7722, 162, 7719])).
% 1.80/1.63 tff(7724,plain,
% 1.80/1.63 (succ(s92, s93) <=> succ(s92, s93)),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7725,axiom,(succ(s92, s93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound93')).
% 1.80/1.63 tff(7726,plain,
% 1.80/1.63 (succ(s92, s93)),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 1.80/1.63 tff(7727,plain,
% 1.80/1.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7728,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7729,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 1.80/1.63 tff(7730,plain,
% 1.80/1.63 (trans(s92, s93)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7729, 7726, 57])).
% 1.80/1.63 tff(7731,plain,
% 1.80/1.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7732,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7733,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93)),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7732, 7731])).
% 1.80/1.63 tff(7734,plain,
% 1.80/1.63 (node7(s92, s93)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7733, 217, 7730])).
% 1.80/1.63 tff(7735,plain,
% 1.80/1.63 (((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))) <=> ((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7736,plain,
% 1.80/1.63 ((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7737,plain,
% 1.80/1.63 ((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7736, 7735])).
% 1.80/1.63 tff(7738,plain,
% 1.80/1.63 (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7737, 745, 7734])).
% 1.80/1.63 tff(7739,plain,
% 1.80/1.63 (node6(s92, s93)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7738, 7723, 7687, 7683, 7679, 7675, 7658])).
% 1.80/1.63 tff(7740,plain,
% 1.80/1.63 (((~![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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))) <=> ((~![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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7741,plain,
% 1.80/1.63 (((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1)) <=> ((~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7742,plain,
% 1.80/1.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, 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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))))),
% 1.80/1.63 inference(monotonicity,[status(thm)],[7741])).
% 1.80/1.63 tff(7743,plain,
% 1.80/1.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, 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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 1.80/1.63 inference(transitivity,[status(thm)],[7742, 7740])).
% 1.80/1.63 tff(7744,plain,
% 1.80/1.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7745,plain,
% 1.80/1.63 ((~![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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7744, 7743])).
% 1.80/1.63 tff(7746,plain,
% 1.80/1.63 (m_main_v_state1(s93, c_t1)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7745, 760, 7650, 7739])).
% 1.80/1.63 tff(7747,plain,
% 1.80/1.63 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7748,plain,
% 1.80/1.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7749,plain,
% 1.80/1.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7748, 7747])).
% 1.80/1.63 tff(7750,plain,
% 1.80/1.63 (~m_main_v_state2(s92, c_t2)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7749, 173, 7715])).
% 1.80/1.63 tff(7751,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7752,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7753,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7752, 7751])).
% 1.80/1.63 tff(7754,plain,
% 1.80/1.63 (~node12(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7753, 778, 7750])).
% 1.80/1.63 tff(7755,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7756,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7757,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 1.80/1.63 tff(7758,plain,
% 1.80/1.63 (~node11(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7757, 361, 7654])).
% 1.80/1.63 tff(7759,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7760,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7761,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 1.80/1.63 tff(7762,plain,
% 1.80/1.63 (~node10(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7761, 793, 7687])).
% 1.80/1.63 tff(7763,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7764,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7765,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 1.80/1.63 tff(7766,plain,
% 1.80/1.63 (~node9(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7765, 804, 7654])).
% 1.80/1.63 tff(7767,plain,
% 1.80/1.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7768,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7769,plain,
% 1.80/1.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92))),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 1.80/1.63 tff(7770,plain,
% 1.80/1.63 (~node8(s92)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7769, 383, 7719])).
% 1.80/1.63 tff(7771,plain,
% 1.80/1.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7772,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))),
% 1.80/1.63 inference(quant_inst,[status(thm)],[])).
% 1.80/1.63 tff(7773,plain,
% 1.80/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93)),
% 1.80/1.63 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 1.80/1.63 tff(7774,plain,
% 1.80/1.63 (node14(s92, s93)),
% 1.80/1.63 inference(unit_resolution,[status(thm)],[7773, 130, 7730])).
% 1.80/1.63 tff(7775,plain,
% 1.80/1.63 (((~![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(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, 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(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 1.80/1.63 inference(rewrite,[status(thm)],[])).
% 1.80/1.63 tff(7776,plain,
% 1.80/1.63 (((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2)) <=> (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7777,plain,
% 1.80/1.64 (((~![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(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, 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(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))))),
% 1.80/1.64 inference(monotonicity,[status(thm)],[7776])).
% 1.80/1.64 tff(7778,plain,
% 1.80/1.64 (((~![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(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, 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(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 1.80/1.64 inference(transitivity,[status(thm)],[7777, 7775])).
% 1.80/1.64 tff(7779,plain,
% 1.80/1.64 ((~![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(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7780,plain,
% 1.80/1.64 ((~![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(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 1.80/1.64 tff(7781,plain,
% 1.80/1.64 (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~m_main_v_state2(s92, c_c2))),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7780, 826, 7774])).
% 1.80/1.64 tff(7782,plain,
% 1.80/1.64 (m_main_v_state2(s93, c_n2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7781, 7770, 7715, 7766, 7762, 7758, 7754])).
% 1.80/1.64 tff(7783,plain,
% 1.80/1.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7784,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7785,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7784, 7783])).
% 1.80/1.64 tff(7786,plain,
% 1.80/1.64 (~m_main_v_state2(s93, c_t2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7785, 10, 7782])).
% 1.80/1.64 tff(7787,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7788,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7789,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 1.80/1.64 tff(7790,plain,
% 1.80/1.64 (~node15(s93)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7789, 21, 7786])).
% 1.80/1.64 tff(7791,plain,
% 1.80/1.64 (succ(s93, s94) <=> succ(s93, s94)),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7792,axiom,(succ(s93, s94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound94')).
% 1.80/1.64 tff(7793,plain,
% 1.80/1.64 (succ(s93, s94)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 1.80/1.64 tff(7794,plain,
% 1.80/1.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7795,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7796,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 1.80/1.64 tff(7797,plain,
% 1.80/1.64 (trans(s93, s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7796, 7793, 57])).
% 1.80/1.64 tff(7798,plain,
% 1.80/1.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7799,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7800,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 1.80/1.64 tff(7801,plain,
% 1.80/1.64 (node18(s93, s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7800, 71, 7797])).
% 1.80/1.64 tff(7802,plain,
% 1.80/1.64 (((~![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(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, 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(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7803,plain,
% 1.80/1.64 (((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1)) <=> (node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7804,plain,
% 1.80/1.64 (((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, 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(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)))),
% 1.80/1.64 inference(monotonicity,[status(thm)],[7803])).
% 1.80/1.64 tff(7805,plain,
% 1.80/1.64 (((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, 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(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 1.80/1.64 inference(transitivity,[status(thm)],[7804, 7802])).
% 1.80/1.64 tff(7806,plain,
% 1.80/1.64 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7807,plain,
% 1.80/1.64 ((~![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(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 1.80/1.64 tff(7808,plain,
% 1.80/1.64 (node15(s93) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7807, 863, 7801])).
% 1.80/1.64 tff(7809,plain,
% 1.80/1.64 (m_main_v_turn(s94, c_1)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7808, 7790, 7782, 7746])).
% 1.80/1.64 tff(7810,plain,
% 1.80/1.64 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7811,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7812,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 1.80/1.64 tff(7813,plain,
% 1.80/1.64 (~m_main_v_turn(s94, c_2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7812, 322, 7809])).
% 1.80/1.64 tff(7814,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7815,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7816,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 1.80/1.64 tff(7817,plain,
% 1.80/1.64 (~node12(s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7816, 350, 7813])).
% 1.80/1.64 tff(7818,plain,
% 1.80/1.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7819,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7820,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 1.80/1.64 tff(7821,plain,
% 1.80/1.64 (node14(s93, s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7820, 130, 7797])).
% 1.80/1.64 tff(7822,plain,
% 1.80/1.64 (((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, 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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7823,plain,
% 1.80/1.64 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7824,plain,
% 1.80/1.64 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 1.80/1.64 tff(7825,plain,
% 1.80/1.64 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state2(s94, c_t2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7824, 893, 7821])).
% 1.80/1.64 tff(7826,plain,
% 1.80/1.64 (m_main_v_state2(s94, c_t2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7825, 7746, 7782])).
% 1.80/1.64 tff(7827,plain,
% 1.80/1.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7828,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7829,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7828, 7827])).
% 1.80/1.64 tff(7830,plain,
% 1.80/1.64 (~m_main_v_state2(s94, c_n2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7829, 10, 7826])).
% 1.80/1.64 tff(7831,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7832,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7833,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7832, 7831])).
% 1.80/1.64 tff(7834,plain,
% 1.80/1.64 (~node8(s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7833, 383, 7830])).
% 1.80/1.64 tff(7835,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7836,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7837,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7836, 7835])).
% 1.80/1.64 tff(7838,plain,
% 1.80/1.64 (~node9(s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7837, 311, 7830])).
% 1.80/1.64 tff(7839,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7840,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7841,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 1.80/1.64 tff(7842,plain,
% 1.80/1.64 (~node10(s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7841, 372, 7830])).
% 1.80/1.64 tff(7843,plain,
% 1.80/1.64 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7844,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7845,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7844, 7843])).
% 1.80/1.64 tff(7846,plain,
% 1.80/1.64 (~m_main_v_state2(s94, c_c2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7845, 173, 7826])).
% 1.80/1.64 tff(7847,plain,
% 1.80/1.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7848,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7849,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 1.80/1.64 tff(7850,plain,
% 1.80/1.64 (~m_main_v_state2(s93, c_c2)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7849, 716, 7782])).
% 1.80/1.64 tff(7851,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7852,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7853,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7852, 7851])).
% 1.80/1.64 tff(7854,plain,
% 1.80/1.64 (~node3(s93)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7853, 184, 7850])).
% 1.80/1.64 tff(7855,plain,
% 1.80/1.64 (((~![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(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))) <=> ((~![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(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7856,plain,
% 1.80/1.64 (((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1))) <=> (m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7857,plain,
% 1.80/1.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, 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(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))))),
% 1.80/1.64 inference(monotonicity,[status(thm)],[7856])).
% 1.80/1.64 tff(7858,plain,
% 1.80/1.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, 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(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 1.80/1.64 inference(transitivity,[status(thm)],[7857, 7855])).
% 1.80/1.64 tff(7859,plain,
% 1.80/1.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7860,plain,
% 1.80/1.64 ((~![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(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 1.80/1.64 tff(7861,plain,
% 1.80/1.64 (~m_main_v_state1(s93, c_n1)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7860, 936, 7654, 7739])).
% 1.80/1.64 tff(7862,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7863,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7864,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 1.80/1.64 tff(7865,plain,
% 1.80/1.64 (~node2(s93)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7864, 652, 7861])).
% 1.80/1.64 tff(7866,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7867,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7868,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 1.80/1.64 tff(7869,plain,
% 1.80/1.64 (~node1(s93)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7868, 206, 7786])).
% 1.80/1.64 tff(7870,plain,
% 1.80/1.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7871,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7872,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 1.80/1.64 tff(7873,plain,
% 1.80/1.64 (node7(s93, s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7872, 217, 7797])).
% 1.80/1.64 tff(7874,plain,
% 1.80/1.64 (((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))) <=> ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7875,plain,
% 1.80/1.64 (((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1)) <=> ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7876,plain,
% 1.80/1.64 (((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, 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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94))))),
% 1.80/1.64 inference(monotonicity,[status(thm)],[7875])).
% 1.80/1.64 tff(7877,plain,
% 1.80/1.64 (((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, 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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 1.80/1.64 inference(transitivity,[status(thm)],[7876, 7874])).
% 1.80/1.64 tff(7878,plain,
% 1.80/1.64 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7879,plain,
% 1.80/1.64 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 1.80/1.64 tff(7880,plain,
% 1.80/1.64 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7879, 965, 7873])).
% 1.80/1.64 tff(7881,plain,
% 1.80/1.64 (m_main_v_state1(s94, c_c1)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7880, 7869, 7782, 7746, 7865, 7854])).
% 1.80/1.64 tff(7882,plain,
% 1.80/1.64 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7883,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7884,plain,
% 1.80/1.64 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 1.80/1.64 tff(7885,plain,
% 1.80/1.64 (~m_main_v_state1(s94, c_n1)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7884, 449, 7881])).
% 1.80/1.64 tff(7886,plain,
% 1.80/1.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7887,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7888,plain,
% 1.80/1.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94))),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 1.80/1.64 tff(7889,plain,
% 1.80/1.64 (~node11(s94)),
% 1.80/1.64 inference(unit_resolution,[status(thm)],[7888, 361, 7885])).
% 1.80/1.64 tff(7890,plain,
% 1.80/1.64 (succ(s94, s95) <=> succ(s94, s95)),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7891,axiom,(succ(s94, s95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound95')).
% 1.80/1.64 tff(7892,plain,
% 1.80/1.64 (succ(s94, s95)),
% 1.80/1.64 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 1.80/1.64 tff(7893,plain,
% 1.80/1.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95))),
% 1.80/1.64 inference(rewrite,[status(thm)],[])).
% 1.80/1.64 tff(7894,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 1.80/1.64 inference(quant_inst,[status(thm)],[])).
% 1.80/1.64 tff(7895,plain,
% 1.80/1.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 1.80/1.65 tff(7896,plain,
% 1.80/1.65 (trans(s94, s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7895, 7892, 57])).
% 1.80/1.65 tff(7897,plain,
% 1.80/1.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7898,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7899,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 1.80/1.65 tff(7900,plain,
% 1.80/1.65 (node14(s94, s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7899, 130, 7896])).
% 1.80/1.65 tff(7901,plain,
% 1.80/1.65 (((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))) <=> ((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7902,plain,
% 1.80/1.65 ((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7903,plain,
% 1.80/1.65 ((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 1.80/1.65 tff(7904,plain,
% 1.80/1.65 (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7903, 401, 7900])).
% 1.80/1.65 tff(7905,plain,
% 1.80/1.65 (node13(s94, s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7904, 7889, 7846, 7842, 7838, 7834, 7817])).
% 1.80/1.65 tff(7906,plain,
% 1.80/1.65 (((~![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(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))) <=> ((~![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(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7907,plain,
% 1.80/1.65 (((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2))) <=> (m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7908,plain,
% 1.80/1.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, 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(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))))),
% 1.80/1.65 inference(monotonicity,[status(thm)],[7907])).
% 1.80/1.65 tff(7909,plain,
% 1.80/1.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, 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(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 1.80/1.65 inference(transitivity,[status(thm)],[7908, 7906])).
% 1.80/1.65 tff(7910,plain,
% 1.80/1.65 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7911,plain,
% 1.80/1.65 ((~![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(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 1.80/1.65 tff(7912,plain,
% 1.80/1.65 (~m_main_v_state2(s95, c_n2)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7911, 416, 7830, 7905])).
% 1.80/1.65 tff(7913,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7914,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7915,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 1.80/1.65 tff(7916,plain,
% 1.80/1.65 (~node9(s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7915, 311, 7912])).
% 1.80/1.65 tff(7917,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7918,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7919,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 1.80/1.65 tff(7920,plain,
% 1.80/1.65 (~node10(s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7919, 372, 7912])).
% 1.80/1.65 tff(7921,plain,
% 1.80/1.65 (((~![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(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))) <=> ((~![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(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7922,plain,
% 1.80/1.65 (((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2)) <=> ((~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7923,plain,
% 1.80/1.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, 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(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))))),
% 1.80/1.65 inference(monotonicity,[status(thm)],[7922])).
% 1.80/1.65 tff(7924,plain,
% 1.80/1.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, 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(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 1.80/1.65 inference(transitivity,[status(thm)],[7923, 7921])).
% 1.80/1.65 tff(7925,plain,
% 1.80/1.65 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7926,plain,
% 1.80/1.65 ((~![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(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7925, 7924])).
% 1.80/1.65 tff(7927,plain,
% 1.80/1.65 (m_main_v_state2(s95, c_t2)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7926, 563, 7826, 7905])).
% 1.80/1.65 tff(7928,plain,
% 1.80/1.65 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7929,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7930,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7929, 7928])).
% 1.80/1.65 tff(7931,plain,
% 1.80/1.65 (~m_main_v_state1(s94, c_t1)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7930, 289, 7881])).
% 1.80/1.65 tff(7932,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7933,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7934,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7933, 7932])).
% 1.80/1.65 tff(7935,plain,
% 1.80/1.65 (~node5(s94)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7934, 300, 7931])).
% 1.80/1.65 tff(7936,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7937,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7938,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 1.80/1.65 tff(7939,plain,
% 1.80/1.65 (~node4(s94)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7938, 162, 7830])).
% 1.80/1.65 tff(7940,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7941,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7942,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7941, 7940])).
% 1.80/1.65 tff(7943,plain,
% 1.80/1.65 (~node3(s94)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7942, 184, 7846])).
% 1.80/1.65 tff(7944,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7945,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7946,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 1.80/1.65 tff(7947,plain,
% 1.80/1.65 (~node2(s94)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7946, 195, 7830])).
% 1.80/1.65 tff(7948,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7949,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7950,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7949, 7948])).
% 1.80/1.65 tff(7951,plain,
% 1.80/1.65 (~node1(s94)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7950, 249, 7885])).
% 1.80/1.65 tff(7952,plain,
% 1.80/1.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7953,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7954,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 1.80/1.65 tff(7955,plain,
% 1.80/1.65 (node7(s94, s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7954, 217, 7896])).
% 1.80/1.65 tff(7956,plain,
% 1.80/1.65 (((~![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(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))) <=> ((~![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(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7957,plain,
% 1.80/1.65 (((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1)) <=> (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7958,plain,
% 1.80/1.65 (((~![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(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, 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(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))))),
% 1.80/1.65 inference(monotonicity,[status(thm)],[7957])).
% 1.80/1.65 tff(7959,plain,
% 1.80/1.65 (((~![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(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, 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(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 1.80/1.65 inference(transitivity,[status(thm)],[7958, 7956])).
% 1.80/1.65 tff(7960,plain,
% 1.80/1.65 ((~![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(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7961,plain,
% 1.80/1.65 ((~![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(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 1.80/1.65 tff(7962,plain,
% 1.80/1.65 (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7961, 478, 7955])).
% 1.80/1.65 tff(7963,plain,
% 1.80/1.65 (m_main_v_state1(s95, c_n1)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7962, 7951, 7881, 7947, 7943, 7939, 7935])).
% 1.80/1.65 tff(7964,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7965,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7966,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 1.80/1.65 tff(7967,plain,
% 1.80/1.65 (~node8(s95)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7966, 383, 7912])).
% 1.80/1.65 tff(7968,plain,
% 1.80/1.65 (succ(s95, s96) <=> succ(s95, s96)),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7969,axiom,(succ(s95, s96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound96')).
% 1.80/1.65 tff(7970,plain,
% 1.80/1.65 (succ(s95, s96)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7969, 7968])).
% 1.80/1.65 tff(7971,plain,
% 1.80/1.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7972,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7973,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 1.80/1.65 tff(7974,plain,
% 1.80/1.65 (trans(s95, s96)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7973, 7970, 57])).
% 1.80/1.65 tff(7975,plain,
% 1.80/1.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7976,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7977,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 1.80/1.65 tff(7978,plain,
% 1.80/1.65 (node14(s95, s96)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7977, 130, 7974])).
% 1.80/1.65 tff(7979,plain,
% 1.80/1.65 (((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, 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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7980,plain,
% 1.80/1.65 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7981,plain,
% 1.80/1.65 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7980, 7979])).
% 1.80/1.65 tff(7982,plain,
% 1.80/1.65 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | m_main_v_state2(s96, c_c2)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7981, 704, 7978])).
% 1.80/1.65 tff(7983,plain,
% 1.80/1.65 (m_main_v_state2(s96, c_c2)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7982, 7967, 7963, 7927, 7920, 7916])).
% 1.80/1.65 tff(7984,plain,
% 1.80/1.65 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7985,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7986,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7985, 7984])).
% 1.80/1.65 tff(7987,plain,
% 1.80/1.65 (~m_main_v_state2(s96, c_t2)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7986, 173, 7983])).
% 1.80/1.65 tff(7988,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7989,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7990,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 1.80/1.65 tff(7991,plain,
% 1.80/1.65 (~node12(s96)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7990, 778, 7987])).
% 1.80/1.65 tff(7992,plain,
% 1.80/1.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7993,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7994,plain,
% 1.80/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 1.80/1.65 tff(7995,plain,
% 1.80/1.65 (node7(s95, s96)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7994, 217, 7974])).
% 1.80/1.65 tff(7996,plain,
% 1.80/1.65 (((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, 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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(7997,plain,
% 1.80/1.65 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(7998,plain,
% 1.80/1.65 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1)),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 1.80/1.65 tff(7999,plain,
% 1.80/1.65 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_state1(s96, c_t1)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7998, 598, 7995])).
% 1.80/1.65 tff(8000,plain,
% 1.80/1.65 (m_main_v_state1(s96, c_t1)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[7999, 7927, 7963])).
% 1.80/1.65 tff(8001,plain,
% 1.80/1.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(8002,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(8003,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 1.80/1.65 tff(8004,plain,
% 1.80/1.65 (~m_main_v_state1(s96, c_n1)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[8003, 35, 8000])).
% 1.80/1.65 tff(8005,plain,
% 1.80/1.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(8006,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(8007,plain,
% 1.80/1.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 1.80/1.65 tff(8008,plain,
% 1.80/1.65 (~node11(s96)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[8007, 361, 8004])).
% 1.80/1.65 tff(8009,plain,
% 1.80/1.65 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))),
% 1.80/1.65 inference(rewrite,[status(thm)],[])).
% 1.80/1.65 tff(8010,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))),
% 1.80/1.65 inference(quant_inst,[status(thm)],[])).
% 1.80/1.65 tff(8011,plain,
% 1.80/1.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1))),
% 1.80/1.65 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 1.80/1.65 tff(8012,plain,
% 1.80/1.65 (~m_main_v_state1(s96, c_c1)),
% 1.80/1.65 inference(unit_resolution,[status(thm)],[8011, 289, 8000])).
% 1.80/1.66 tff(8013,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8014,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8015,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 1.80/1.66 tff(8016,plain,
% 1.80/1.66 (~node10(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8015, 793, 8012])).
% 1.80/1.66 tff(8017,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8018,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8019,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 1.80/1.66 tff(8020,plain,
% 1.80/1.66 (~node9(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8019, 804, 8004])).
% 1.80/1.66 tff(8021,plain,
% 1.80/1.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8022,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8023,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 1.80/1.66 tff(8024,plain,
% 1.80/1.66 (~m_main_v_state2(s96, c_n2)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8023, 716, 7983])).
% 1.80/1.66 tff(8025,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8026,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8027,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 1.80/1.66 tff(8028,plain,
% 1.80/1.66 (~node8(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8027, 383, 8024])).
% 1.80/1.66 tff(8029,plain,
% 1.80/1.66 (succ(s96, s97) <=> succ(s96, s97)),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8030,axiom,(succ(s96, s97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound97')).
% 1.80/1.66 tff(8031,plain,
% 1.80/1.66 (succ(s96, s97)),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8030, 8029])).
% 1.80/1.66 tff(8032,plain,
% 1.80/1.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8033,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8034,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 1.80/1.66 tff(8035,plain,
% 1.80/1.66 (trans(s96, s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8034, 8031, 57])).
% 1.80/1.66 tff(8036,plain,
% 1.80/1.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8037,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8038,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97)),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 1.80/1.66 tff(8039,plain,
% 1.80/1.66 (node14(s96, s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8038, 130, 8035])).
% 1.80/1.66 tff(8040,plain,
% 1.80/1.66 (((~![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(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, 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(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8041,plain,
% 1.80/1.66 (((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2)) <=> (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8042,plain,
% 1.80/1.66 (((~![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(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, 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(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))))),
% 1.80/1.66 inference(monotonicity,[status(thm)],[8041])).
% 1.80/1.66 tff(8043,plain,
% 1.80/1.66 (((~![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(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, 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(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 1.80/1.66 inference(transitivity,[status(thm)],[8042, 8040])).
% 1.80/1.66 tff(8044,plain,
% 1.80/1.66 ((~![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(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8045,plain,
% 1.80/1.66 ((~![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(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 1.80/1.66 tff(8046,plain,
% 1.80/1.66 (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~m_main_v_state2(s96, c_c2))),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8045, 826, 8039])).
% 1.80/1.66 tff(8047,plain,
% 1.80/1.66 (m_main_v_state2(s97, c_n2)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8046, 8028, 7983, 8020, 8016, 8008, 7991])).
% 1.80/1.66 tff(8048,plain,
% 1.80/1.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8049,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8050,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8049, 8048])).
% 1.80/1.66 tff(8051,plain,
% 1.80/1.66 (~m_main_v_state2(s97, c_c2)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8050, 716, 8047])).
% 1.80/1.66 tff(8052,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8053,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8054,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 1.80/1.66 tff(8055,plain,
% 1.80/1.66 (~node3(s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8054, 184, 8051])).
% 1.80/1.66 tff(8056,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8057,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8058,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8057, 8056])).
% 1.80/1.66 tff(8059,plain,
% 1.80/1.66 (~node1(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8058, 249, 8004])).
% 1.80/1.66 tff(8060,plain,
% 1.80/1.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8061,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8062,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96)),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 1.80/1.66 tff(8063,plain,
% 1.80/1.66 (node18(s95, s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8062, 71, 7974])).
% 1.80/1.66 tff(8064,plain,
% 1.80/1.66 (((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, 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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8065,plain,
% 1.80/1.66 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8066,plain,
% 1.80/1.66 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2)),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 1.80/1.66 tff(8067,plain,
% 1.80/1.66 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_turn(s96, c_2)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8066, 625, 8063])).
% 1.80/1.66 tff(8068,plain,
% 1.80/1.66 (m_main_v_turn(s96, c_2)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8067, 7927, 7963])).
% 1.80/1.66 tff(8069,plain,
% 1.80/1.66 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8070,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8071,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 1.80/1.66 tff(8072,plain,
% 1.80/1.66 (~m_main_v_turn(s96, c_1)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8071, 322, 8068])).
% 1.80/1.66 tff(8073,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8074,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8075,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 1.80/1.66 tff(8076,plain,
% 1.80/1.66 (~node5(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8075, 641, 8072])).
% 1.80/1.66 tff(8077,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8078,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8079,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 1.80/1.66 tff(8080,plain,
% 1.80/1.66 (~node2(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8079, 652, 8004])).
% 1.80/1.66 tff(8081,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8082,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8083,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 1.80/1.66 tff(8084,plain,
% 1.80/1.66 (~node3(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8083, 663, 8004])).
% 1.80/1.66 tff(8085,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8086,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8087,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 1.80/1.66 tff(8088,plain,
% 1.80/1.66 (~node4(s96)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8087, 162, 8024])).
% 1.80/1.66 tff(8089,plain,
% 1.80/1.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8090,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8091,plain,
% 1.80/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97)),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 1.80/1.66 tff(8092,plain,
% 1.80/1.66 (node7(s96, s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8091, 217, 8035])).
% 1.80/1.66 tff(8093,plain,
% 1.80/1.66 (((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))) <=> ((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8094,plain,
% 1.80/1.66 ((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8095,plain,
% 1.80/1.66 ((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 1.80/1.66 tff(8096,plain,
% 1.80/1.66 (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8095, 745, 8092])).
% 1.80/1.66 tff(8097,plain,
% 1.80/1.66 (node6(s96, s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8096, 8088, 8012, 8084, 8080, 8076, 8059])).
% 1.80/1.66 tff(8098,plain,
% 1.80/1.66 (((~![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(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))) <=> ((~![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(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8099,plain,
% 1.80/1.66 (((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1))) <=> (m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8100,plain,
% 1.80/1.66 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, 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(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))))),
% 1.80/1.66 inference(monotonicity,[status(thm)],[8099])).
% 1.80/1.66 tff(8101,plain,
% 1.80/1.66 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, 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(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 1.80/1.66 inference(transitivity,[status(thm)],[8100, 8098])).
% 1.80/1.66 tff(8102,plain,
% 1.80/1.66 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8103,plain,
% 1.80/1.66 ((~![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(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 1.80/1.66 tff(8104,plain,
% 1.80/1.66 (~m_main_v_state1(s97, c_n1)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8103, 936, 8004, 8097])).
% 1.80/1.66 tff(8105,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8106,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8107,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8106, 8105])).
% 1.80/1.66 tff(8108,plain,
% 1.80/1.66 (~node2(s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8107, 652, 8104])).
% 1.80/1.66 tff(8109,plain,
% 1.80/1.66 (((~![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(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))) <=> ((~![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(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8110,plain,
% 1.80/1.66 (((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1)) <=> ((~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8111,plain,
% 1.80/1.66 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, 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(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))))),
% 1.80/1.66 inference(monotonicity,[status(thm)],[8110])).
% 1.80/1.66 tff(8112,plain,
% 1.80/1.66 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, 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(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 1.80/1.66 inference(transitivity,[status(thm)],[8111, 8109])).
% 1.80/1.66 tff(8113,plain,
% 1.80/1.66 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8114,plain,
% 1.80/1.66 ((~![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(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 1.80/1.66 tff(8115,plain,
% 1.80/1.66 (m_main_v_state1(s97, c_t1)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8114, 760, 8000, 8097])).
% 1.80/1.66 tff(8116,plain,
% 1.80/1.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8117,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8118,plain,
% 1.80/1.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 1.80/1.66 tff(8119,plain,
% 1.80/1.66 (~m_main_v_state2(s97, c_t2)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8118, 10, 8047])).
% 1.80/1.66 tff(8120,plain,
% 1.80/1.66 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 1.80/1.66 inference(rewrite,[status(thm)],[])).
% 1.80/1.66 tff(8121,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 1.80/1.66 inference(quant_inst,[status(thm)],[])).
% 1.80/1.66 tff(8122,plain,
% 1.80/1.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97))),
% 1.80/1.66 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 1.80/1.66 tff(8123,plain,
% 1.80/1.66 (~node1(s97)),
% 1.80/1.66 inference(unit_resolution,[status(thm)],[8122, 206, 8119])).
% 1.80/1.67 tff(8124,plain,
% 1.80/1.67 (succ(s97, s98) <=> succ(s97, s98)),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8125,axiom,(succ(s97, s98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound98')).
% 1.80/1.67 tff(8126,plain,
% 1.80/1.67 (succ(s97, s98)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 1.80/1.67 tff(8127,plain,
% 1.80/1.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8128,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8129,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8128, 8127])).
% 1.80/1.67 tff(8130,plain,
% 1.80/1.67 (trans(s97, s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8129, 8126, 57])).
% 1.80/1.67 tff(8131,plain,
% 1.80/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8132,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8133,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8132, 8131])).
% 1.80/1.67 tff(8134,plain,
% 1.80/1.67 (node7(s97, s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8133, 217, 8130])).
% 1.80/1.67 tff(8135,plain,
% 1.80/1.67 (((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))) <=> ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8136,plain,
% 1.80/1.67 (((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1)) <=> ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8137,plain,
% 1.80/1.67 (((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, 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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98))))),
% 1.80/1.67 inference(monotonicity,[status(thm)],[8136])).
% 1.80/1.67 tff(8138,plain,
% 1.80/1.67 (((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, 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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 1.80/1.67 inference(transitivity,[status(thm)],[8137, 8135])).
% 1.80/1.67 tff(8139,plain,
% 1.80/1.67 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8140,plain,
% 1.80/1.67 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 1.80/1.67 tff(8141,plain,
% 1.80/1.67 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8140, 965, 8134])).
% 1.80/1.67 tff(8142,plain,
% 1.80/1.67 (m_main_v_state1(s98, c_c1)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8141, 8123, 8047, 8115, 8108, 8055])).
% 1.80/1.67 tff(8143,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8144,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8145,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8144, 8143])).
% 1.80/1.67 tff(8146,plain,
% 1.80/1.67 (~m_main_v_state1(s98, c_t1)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8145, 289, 8142])).
% 1.80/1.67 tff(8147,plain,
% 1.80/1.67 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8148,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8149,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 1.80/1.67 tff(8150,plain,
% 1.80/1.67 (~node5(s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8149, 300, 8146])).
% 1.80/1.67 tff(8151,plain,
% 1.80/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8152,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8153,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8152, 8151])).
% 1.80/1.67 tff(8154,plain,
% 1.80/1.67 (node14(s97, s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8153, 130, 8130])).
% 1.80/1.67 tff(8155,plain,
% 1.80/1.67 (((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, 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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8156,plain,
% 1.80/1.67 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8157,plain,
% 1.80/1.67 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 1.80/1.67 tff(8158,plain,
% 1.80/1.67 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state2(s98, c_t2)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8157, 893, 8154])).
% 1.80/1.67 tff(8159,plain,
% 1.80/1.67 (m_main_v_state2(s98, c_t2)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8158, 8115, 8047])).
% 1.80/1.67 tff(8160,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8161,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8162,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 1.80/1.67 tff(8163,plain,
% 1.80/1.67 (~m_main_v_state2(s98, c_n2)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8162, 10, 8159])).
% 1.80/1.67 tff(8164,plain,
% 1.80/1.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8165,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8166,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 1.80/1.67 tff(8167,plain,
% 1.80/1.67 (~node2(s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8166, 195, 8163])).
% 1.80/1.67 tff(8168,plain,
% 1.80/1.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8169,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8170,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8169, 8168])).
% 1.80/1.67 tff(8171,plain,
% 1.80/1.67 (~node4(s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8170, 162, 8163])).
% 1.80/1.67 tff(8172,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8173,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8174,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 1.80/1.67 tff(8175,plain,
% 1.80/1.67 (~m_main_v_state2(s98, c_c2)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8174, 173, 8159])).
% 1.80/1.67 tff(8176,plain,
% 1.80/1.67 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8177,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8178,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 1.80/1.67 tff(8179,plain,
% 1.80/1.67 (~node3(s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8178, 184, 8175])).
% 1.80/1.67 tff(8180,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8181,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8182,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 1.80/1.67 tff(8183,plain,
% 1.80/1.67 (~m_main_v_state1(s98, c_n1)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8182, 449, 8142])).
% 1.80/1.67 tff(8184,plain,
% 1.80/1.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8185,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8186,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8185, 8184])).
% 1.80/1.67 tff(8187,plain,
% 1.80/1.67 (~node1(s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8186, 249, 8183])).
% 1.80/1.67 tff(8188,plain,
% 1.80/1.67 (succ(s98, s99) <=> succ(s98, s99)),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8189,axiom,(succ(s98, s99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound99')).
% 1.80/1.67 tff(8190,plain,
% 1.80/1.67 (succ(s98, s99)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 1.80/1.67 tff(8191,plain,
% 1.80/1.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8192,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8193,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 1.80/1.67 tff(8194,plain,
% 1.80/1.67 (trans(s98, s99)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8193, 8190, 57])).
% 1.80/1.67 tff(8195,plain,
% 1.80/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8196,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8197,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 1.80/1.67 tff(8198,plain,
% 1.80/1.67 (node7(s98, s99)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8197, 217, 8194])).
% 1.80/1.67 tff(8199,plain,
% 1.80/1.67 (((~![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(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, 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(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8200,plain,
% 1.80/1.67 ((~![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(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8201,plain,
% 1.80/1.67 ((~![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(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8200, 8199])).
% 1.80/1.67 tff(8202,plain,
% 1.80/1.67 ((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | m_main_v_state1(s99, c_n1)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8201, 478, 8198])).
% 1.80/1.67 tff(8203,plain,
% 1.80/1.67 (m_main_v_state1(s99, c_n1)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8202, 8187, 8142, 8179, 8171, 8167, 8150])).
% 1.80/1.67 tff(8204,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state1(s99, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state1(s99, c_t1)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8205,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state1(s99, c_t1)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8206,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state1(s99, c_t1))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 1.80/1.67 tff(8207,plain,
% 1.80/1.67 (~m_main_v_state1(s99, c_t1)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8206, 35, 8203])).
% 1.80/1.67 tff(8208,plain,
% 1.80/1.67 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node20(X))) <=> (m_main_v_state1(X, c_t1) | (~node20(X))))),
% 1.80/1.67 inference(bind,[status(th)],[])).
% 1.80/1.67 tff(8209,plain,
% 1.80/1.67 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.80/1.67 inference(quant_intro,[status(thm)],[8208])).
% 1.80/1.67 tff(8210,plain,
% 1.80/1.67 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8211,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty4')).
% 1.80/1.67 tff(8212,plain,
% 1.80/1.67 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8211, 8210])).
% 1.80/1.67 tff(8213,plain,(
% 1.80/1.67 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.80/1.67 inference(skolemize,[status(sab)],[8212])).
% 1.80/1.67 tff(8214,plain,
% 1.80/1.67 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8213, 8209])).
% 1.80/1.67 tff(8215,plain,
% 1.80/1.67 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s99, c_t1) | (~node20(s99)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s99, c_t1) | (~node20(s99)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8216,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s99, c_t1) | (~node20(s99)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8217,plain,
% 1.80/1.67 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s99, c_t1) | (~node20(s99))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8216, 8215])).
% 1.80/1.67 tff(8218,plain,
% 1.80/1.67 (~node20(s99)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8217, 8214, 8207])).
% 1.80/1.67 tff(8219,plain,
% 1.80/1.67 (^[X: $i] : refl(((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ((~m_main_v_state1(X, c_c1)) | (~always19(X))))),
% 1.80/1.67 inference(bind,[status(th)],[])).
% 1.80/1.67 tff(8220,plain,
% 1.80/1.67 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 1.80/1.67 inference(quant_intro,[status(thm)],[8219])).
% 1.80/1.67 tff(8221,plain,
% 1.80/1.67 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X))) <=> ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8222,axiom,(![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty1')).
% 1.80/1.67 tff(8223,plain,
% 1.80/1.67 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8222, 8221])).
% 1.80/1.67 tff(8224,plain,(
% 1.80/1.67 ![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 1.80/1.67 inference(skolemize,[status(sab)],[8223])).
% 1.80/1.67 tff(8225,plain,
% 1.80/1.67 (![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8224, 8220])).
% 1.80/1.67 tff(8226,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s98)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8227,plain,
% 1.80/1.67 (((~m_main_v_state1(s98, c_c1)) | (~always19(s98))) <=> ((~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8228,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s98)) | (~m_main_v_state1(s98, c_c1))))),
% 1.80/1.67 inference(monotonicity,[status(thm)],[8227])).
% 1.80/1.67 tff(8229,plain,
% 1.80/1.67 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1)))),
% 1.80/1.67 inference(transitivity,[status(thm)],[8228, 8226])).
% 1.80/1.67 tff(8230,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s98, c_c1)) | (~always19(s98)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8231,plain,
% 1.80/1.67 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s98)) | (~m_main_v_state1(s98, c_c1))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 1.80/1.67 tff(8232,plain,
% 1.80/1.67 (~always19(s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8231, 8225, 8142])).
% 1.80/1.67 tff(8233,plain,
% 1.80/1.67 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 1.80/1.67 inference(bind,[status(th)],[])).
% 1.80/1.67 tff(8234,plain,
% 1.80/1.67 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 1.80/1.67 inference(quant_intro,[status(thm)],[8233])).
% 1.80/1.67 tff(8235,plain,
% 1.80/1.67 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8236,plain,
% 1.80/1.67 (^[Y: $i, X: $i] : rewrite(((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ((~trans(X, Y)) | (~always19(X)) | always19(Y)))),
% 1.80/1.67 inference(bind,[status(th)],[])).
% 1.80/1.67 tff(8237,plain,
% 1.80/1.67 (![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 1.80/1.67 inference(quant_intro,[status(thm)],[8236])).
% 1.80/1.67 tff(8238,axiom,(![Y: $i, X: $i] : ((always19(Y) | (~trans(X, Y))) | (~always19(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 1.80/1.67 tff(8239,plain,
% 1.80/1.67 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8238, 8237])).
% 1.80/1.67 tff(8240,plain,
% 1.80/1.67 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8239, 8235])).
% 1.80/1.67 tff(8241,plain,(
% 1.80/1.67 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 1.80/1.67 inference(skolemize,[status(sab)],[8240])).
% 1.80/1.67 tff(8242,plain,
% 1.80/1.67 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8241, 8234])).
% 1.80/1.67 tff(8243,plain,
% 1.80/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s97, s98)) | (~always19(s97)) | always19(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s97, s98)) | (~always19(s97)) | always19(s98))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8244,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s97, s98)) | (~always19(s97)) | always19(s98))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8245,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s97, s98)) | (~always19(s97)) | always19(s98)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8244, 8243])).
% 1.80/1.67 tff(8246,plain,
% 1.80/1.67 ((~always19(s97)) | always19(s98)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8245, 8242, 8130])).
% 1.80/1.67 tff(8247,plain,
% 1.80/1.67 (~always19(s97)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8246, 8232])).
% 1.80/1.67 tff(8248,plain,
% 1.80/1.67 (^[X: $i] : refl((always19(X) | (~node20(X))) <=> (always19(X) | (~node20(X))))),
% 1.80/1.67 inference(bind,[status(th)],[])).
% 1.80/1.67 tff(8249,plain,
% 1.80/1.67 (![X: $i] : (always19(X) | (~node20(X))) <=> ![X: $i] : (always19(X) | (~node20(X)))),
% 1.80/1.67 inference(quant_intro,[status(thm)],[8248])).
% 1.80/1.67 tff(8250,plain,
% 1.80/1.67 (![X: $i] : (always19(X) | (~node20(X))) <=> ![X: $i] : (always19(X) | (~node20(X)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8251,axiom,(![X: $i] : (always19(X) | (~node20(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty5')).
% 1.80/1.67 tff(8252,plain,
% 1.80/1.67 (![X: $i] : (always19(X) | (~node20(X)))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 1.80/1.67 tff(8253,plain,(
% 1.80/1.67 ![X: $i] : (always19(X) | (~node20(X)))),
% 1.80/1.67 inference(skolemize,[status(sab)],[8252])).
% 1.80/1.67 tff(8254,plain,
% 1.80/1.67 (![X: $i] : (always19(X) | (~node20(X)))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8253, 8249])).
% 1.80/1.67 tff(8255,plain,
% 1.80/1.67 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s97) | (~node20(s97)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s97) | (~node20(s97)))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8256,plain,
% 1.80/1.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s97) | (~node20(s97)))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8257,plain,
% 1.80/1.67 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s97) | (~node20(s97))),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 1.80/1.67 tff(8258,plain,
% 1.80/1.67 (~node20(s97)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8257, 8254, 8247])).
% 1.80/1.67 tff(8259,plain,
% 1.80/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s96, s97)) | (~always19(s96)) | always19(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s96, s97)) | (~always19(s96)) | always19(s97))),
% 1.80/1.67 inference(rewrite,[status(thm)],[])).
% 1.80/1.67 tff(8260,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s96, s97)) | (~always19(s96)) | always19(s97))),
% 1.80/1.67 inference(quant_inst,[status(thm)],[])).
% 1.80/1.67 tff(8261,plain,
% 1.80/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s96, s97)) | (~always19(s96)) | always19(s97)),
% 1.80/1.67 inference(modus_ponens,[status(thm)],[8260, 8259])).
% 1.80/1.67 tff(8262,plain,
% 1.80/1.67 ((~always19(s96)) | always19(s97)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8261, 8242, 8035])).
% 1.80/1.67 tff(8263,plain,
% 1.80/1.67 (~always19(s96)),
% 1.80/1.67 inference(unit_resolution,[status(thm)],[8262, 8247])).
% 1.80/1.67 tff(8264,plain,
% 1.80/1.67 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s96) | (~node20(s96)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s96) | (~node20(s96)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8265,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s96) | (~node20(s96)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8266,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s96) | (~node20(s96))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8265, 8264])).
% 1.80/1.68 tff(8267,plain,
% 1.80/1.68 (~node20(s96)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8266, 8254, 8263])).
% 1.80/1.68 tff(8268,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state1(s95, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state1(s95, c_t1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8269,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state1(s95, c_t1)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8270,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state1(s95, c_t1))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8269, 8268])).
% 1.80/1.68 tff(8271,plain,
% 1.80/1.68 (~m_main_v_state1(s95, c_t1)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8270, 35, 7963])).
% 1.80/1.68 tff(8272,plain,
% 1.80/1.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s95, c_t1) | (~node20(s95)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s95, c_t1) | (~node20(s95)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8273,plain,
% 1.80/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s95, c_t1) | (~node20(s95)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8274,plain,
% 1.80/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s95, c_t1) | (~node20(s95))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 1.80/1.68 tff(8275,plain,
% 1.80/1.68 (~node20(s95)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8274, 8214, 8271])).
% 1.80/1.68 tff(8276,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s94)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s94)) | (~m_main_v_state1(s94, c_c1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8277,plain,
% 1.80/1.68 (((~m_main_v_state1(s94, c_c1)) | (~always19(s94))) <=> ((~always19(s94)) | (~m_main_v_state1(s94, c_c1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8278,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s94, c_c1)) | (~always19(s94)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s94)) | (~m_main_v_state1(s94, c_c1))))),
% 1.80/1.68 inference(monotonicity,[status(thm)],[8277])).
% 1.80/1.68 tff(8279,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s94, c_c1)) | (~always19(s94)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s94)) | (~m_main_v_state1(s94, c_c1)))),
% 1.80/1.68 inference(transitivity,[status(thm)],[8278, 8276])).
% 1.80/1.68 tff(8280,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s94, c_c1)) | (~always19(s94)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8281,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s94)) | (~m_main_v_state1(s94, c_c1))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 1.80/1.68 tff(8282,plain,
% 1.80/1.68 (~always19(s94)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8281, 8225, 7881])).
% 1.80/1.68 tff(8283,plain,
% 1.80/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s93, s94)) | (~always19(s93)) | always19(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s93, s94)) | (~always19(s93)) | always19(s94))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8284,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s93, s94)) | (~always19(s93)) | always19(s94))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8285,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s93, s94)) | (~always19(s93)) | always19(s94)),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8284, 8283])).
% 1.80/1.68 tff(8286,plain,
% 1.80/1.68 ((~always19(s93)) | always19(s94)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8285, 8242, 7797])).
% 1.80/1.68 tff(8287,plain,
% 1.80/1.68 (~always19(s93)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8286, 8282])).
% 1.80/1.68 tff(8288,plain,
% 1.80/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s93) | (~node20(s93)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s93) | (~node20(s93)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8289,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s93) | (~node20(s93)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8290,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s93) | (~node20(s93))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8289, 8288])).
% 1.80/1.68 tff(8291,plain,
% 1.80/1.68 (~node20(s93)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8290, 8254, 8287])).
% 1.80/1.68 tff(8292,plain,
% 1.80/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s92, s93)) | (~always19(s92)) | always19(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s92, s93)) | (~always19(s92)) | always19(s93))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8293,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s92, s93)) | (~always19(s92)) | always19(s93))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8294,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s92, s93)) | (~always19(s92)) | always19(s93)),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 1.80/1.68 tff(8295,plain,
% 1.80/1.68 ((~always19(s92)) | always19(s93)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8294, 8242, 7730])).
% 1.80/1.68 tff(8296,plain,
% 1.80/1.68 (~always19(s92)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8295, 8287])).
% 1.80/1.68 tff(8297,plain,
% 1.80/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s92) | (~node20(s92)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s92) | (~node20(s92)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8298,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s92) | (~node20(s92)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8299,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s92) | (~node20(s92))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 1.80/1.68 tff(8300,plain,
% 1.80/1.68 (~node20(s92)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8299, 8254, 8296])).
% 1.80/1.68 tff(8301,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8302,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8303,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state1(s91, c_t1))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 1.80/1.68 tff(8304,plain,
% 1.80/1.68 (~m_main_v_state1(s91, c_t1)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8303, 35, 7578])).
% 1.80/1.68 tff(8305,plain,
% 1.80/1.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s91, c_t1) | (~node20(s91)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s91, c_t1) | (~node20(s91)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8306,plain,
% 1.80/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s91, c_t1) | (~node20(s91)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8307,plain,
% 1.80/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s91, c_t1) | (~node20(s91))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 1.80/1.68 tff(8308,plain,
% 1.80/1.68 (~node20(s91)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8307, 8214, 8304])).
% 1.80/1.68 tff(8309,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s90)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s90)) | (~m_main_v_state1(s90, c_c1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8310,plain,
% 1.80/1.68 (((~m_main_v_state1(s90, c_c1)) | (~always19(s90))) <=> ((~always19(s90)) | (~m_main_v_state1(s90, c_c1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8311,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s90, c_c1)) | (~always19(s90)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s90)) | (~m_main_v_state1(s90, c_c1))))),
% 1.80/1.68 inference(monotonicity,[status(thm)],[8310])).
% 1.80/1.68 tff(8312,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s90, c_c1)) | (~always19(s90)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s90)) | (~m_main_v_state1(s90, c_c1)))),
% 1.80/1.68 inference(transitivity,[status(thm)],[8311, 8309])).
% 1.80/1.68 tff(8313,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s90, c_c1)) | (~always19(s90)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8314,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s90)) | (~m_main_v_state1(s90, c_c1))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8313, 8312])).
% 1.80/1.68 tff(8315,plain,
% 1.80/1.68 (~always19(s90)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8314, 8225, 7514])).
% 1.80/1.68 tff(8316,plain,
% 1.80/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s89, s90)) | (~always19(s89)) | always19(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s89, s90)) | (~always19(s89)) | always19(s90))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8317,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s89, s90)) | (~always19(s89)) | always19(s90))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8318,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s89, s90)) | (~always19(s89)) | always19(s90)),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 1.80/1.68 tff(8319,plain,
% 1.80/1.68 ((~always19(s89)) | always19(s90)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8318, 8242, 7502])).
% 1.80/1.68 tff(8320,plain,
% 1.80/1.68 (~always19(s89)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8319, 8315])).
% 1.80/1.68 tff(8321,plain,
% 1.80/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s89) | (~node20(s89)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s89) | (~node20(s89)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8322,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s89) | (~node20(s89)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8323,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s89) | (~node20(s89))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 1.80/1.68 tff(8324,plain,
% 1.80/1.68 (~node20(s89)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8323, 8254, 8320])).
% 1.80/1.68 tff(8325,plain,
% 1.80/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s88, s89)) | (~always19(s88)) | always19(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s88, s89)) | (~always19(s88)) | always19(s89))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8326,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s88, s89)) | (~always19(s88)) | always19(s89))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8327,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s88, s89)) | (~always19(s88)) | always19(s89)),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8326, 8325])).
% 1.80/1.68 tff(8328,plain,
% 1.80/1.68 ((~always19(s88)) | always19(s89)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8327, 8242, 7407])).
% 1.80/1.68 tff(8329,plain,
% 1.80/1.68 (~always19(s88)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8328, 8320])).
% 1.80/1.68 tff(8330,plain,
% 1.80/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s88) | (~node20(s88)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s88) | (~node20(s88)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8331,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s88) | (~node20(s88)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8332,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s88) | (~node20(s88))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8331, 8330])).
% 1.80/1.68 tff(8333,plain,
% 1.80/1.68 (~node20(s88)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8332, 8254, 8329])).
% 1.80/1.68 tff(8334,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8335,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8336,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state1(s87, c_t1))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 1.80/1.68 tff(8337,plain,
% 1.80/1.68 (~m_main_v_state1(s87, c_t1)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8336, 35, 7335])).
% 1.80/1.68 tff(8338,plain,
% 1.80/1.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s87, c_t1) | (~node20(s87)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s87, c_t1) | (~node20(s87)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8339,plain,
% 1.80/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s87, c_t1) | (~node20(s87)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8340,plain,
% 1.80/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s87, c_t1) | (~node20(s87))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8339, 8338])).
% 1.80/1.68 tff(8341,plain,
% 1.80/1.68 (~node20(s87)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8340, 8214, 8337])).
% 1.80/1.68 tff(8342,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s86)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s86)) | (~m_main_v_state1(s86, c_c1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8343,plain,
% 1.80/1.68 (((~m_main_v_state1(s86, c_c1)) | (~always19(s86))) <=> ((~always19(s86)) | (~m_main_v_state1(s86, c_c1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8344,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s86, c_c1)) | (~always19(s86)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s86)) | (~m_main_v_state1(s86, c_c1))))),
% 1.80/1.68 inference(monotonicity,[status(thm)],[8343])).
% 1.80/1.68 tff(8345,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s86, c_c1)) | (~always19(s86)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s86)) | (~m_main_v_state1(s86, c_c1)))),
% 1.80/1.68 inference(transitivity,[status(thm)],[8344, 8342])).
% 1.80/1.68 tff(8346,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s86, c_c1)) | (~always19(s86)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8347,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s86)) | (~m_main_v_state1(s86, c_c1))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8346, 8345])).
% 1.80/1.68 tff(8348,plain,
% 1.80/1.68 (~always19(s86)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8347, 8225, 7253])).
% 1.80/1.68 tff(8349,plain,
% 1.80/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s85, s86)) | (~always19(s85)) | always19(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s85, s86)) | (~always19(s85)) | always19(s86))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8350,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s85, s86)) | (~always19(s85)) | always19(s86))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8351,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s85, s86)) | (~always19(s85)) | always19(s86)),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8350, 8349])).
% 1.80/1.68 tff(8352,plain,
% 1.80/1.68 ((~always19(s85)) | always19(s86)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8351, 8242, 7169])).
% 1.80/1.68 tff(8353,plain,
% 1.80/1.68 (~always19(s85)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8352, 8348])).
% 1.80/1.68 tff(8354,plain,
% 1.80/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s85) | (~node20(s85)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s85) | (~node20(s85)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8355,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s85) | (~node20(s85)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8356,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s85) | (~node20(s85))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 1.80/1.68 tff(8357,plain,
% 1.80/1.68 (~node20(s85)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8356, 8254, 8353])).
% 1.80/1.68 tff(8358,plain,
% 1.80/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s84, s85)) | (~always19(s84)) | always19(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s84, s85)) | (~always19(s84)) | always19(s85))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8359,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s84, s85)) | (~always19(s84)) | always19(s85))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8360,plain,
% 1.80/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s84, s85)) | (~always19(s84)) | always19(s85)),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8359, 8358])).
% 1.80/1.68 tff(8361,plain,
% 1.80/1.68 ((~always19(s84)) | always19(s85)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8360, 8242, 7102])).
% 1.80/1.68 tff(8362,plain,
% 1.80/1.68 (~always19(s84)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8361, 8353])).
% 1.80/1.68 tff(8363,plain,
% 1.80/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s84) | (~node20(s84)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s84) | (~node20(s84)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8364,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s84) | (~node20(s84)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8365,plain,
% 1.80/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s84) | (~node20(s84))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 1.80/1.68 tff(8366,plain,
% 1.80/1.68 (~node20(s84)),
% 1.80/1.68 inference(unit_resolution,[status(thm)],[8365, 8254, 8362])).
% 1.80/1.68 tff(8367,plain,
% 1.80/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1)))),
% 1.80/1.68 inference(rewrite,[status(thm)],[])).
% 1.80/1.68 tff(8368,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1)))),
% 1.80/1.68 inference(quant_inst,[status(thm)],[])).
% 1.80/1.68 tff(8369,plain,
% 1.80/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state1(s83, c_t1))),
% 1.80/1.68 inference(modus_ponens,[status(thm)],[8368, 8367])).
% 1.80/1.68 tff(8370,plain,
% 1.80/1.68 (~m_main_v_state1(s83, c_t1)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8369, 35, 6950])).
% 1.85/1.68 tff(8371,plain,
% 1.85/1.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s83, c_t1) | (~node20(s83)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s83, c_t1) | (~node20(s83)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8372,plain,
% 1.85/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s83, c_t1) | (~node20(s83)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8373,plain,
% 1.85/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s83, c_t1) | (~node20(s83))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 1.85/1.68 tff(8374,plain,
% 1.85/1.68 (~node20(s83)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8373, 8214, 8370])).
% 1.85/1.68 tff(8375,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s82)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s82)) | (~m_main_v_state1(s82, c_c1)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8376,plain,
% 1.85/1.68 (((~m_main_v_state1(s82, c_c1)) | (~always19(s82))) <=> ((~always19(s82)) | (~m_main_v_state1(s82, c_c1)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8377,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s82, c_c1)) | (~always19(s82)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s82)) | (~m_main_v_state1(s82, c_c1))))),
% 1.85/1.68 inference(monotonicity,[status(thm)],[8376])).
% 1.85/1.68 tff(8378,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s82, c_c1)) | (~always19(s82)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s82)) | (~m_main_v_state1(s82, c_c1)))),
% 1.85/1.68 inference(transitivity,[status(thm)],[8377, 8375])).
% 1.85/1.68 tff(8379,plain,
% 1.85/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s82, c_c1)) | (~always19(s82)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8380,plain,
% 1.85/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s82)) | (~m_main_v_state1(s82, c_c1))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8379, 8378])).
% 1.85/1.68 tff(8381,plain,
% 1.85/1.68 (~always19(s82)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8380, 8225, 6886])).
% 1.85/1.68 tff(8382,plain,
% 1.85/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s81, s82)) | (~always19(s81)) | always19(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s81, s82)) | (~always19(s81)) | always19(s82))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8383,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s81, s82)) | (~always19(s81)) | always19(s82))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8384,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s81, s82)) | (~always19(s81)) | always19(s82)),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 1.85/1.68 tff(8385,plain,
% 1.85/1.68 ((~always19(s81)) | always19(s82)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8384, 8242, 6874])).
% 1.85/1.68 tff(8386,plain,
% 1.85/1.68 (~always19(s81)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8385, 8381])).
% 1.85/1.68 tff(8387,plain,
% 1.85/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s81) | (~node20(s81)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s81) | (~node20(s81)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8388,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s81) | (~node20(s81)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8389,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s81) | (~node20(s81))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 1.85/1.68 tff(8390,plain,
% 1.85/1.68 (~node20(s81)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8389, 8254, 8386])).
% 1.85/1.68 tff(8391,plain,
% 1.85/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s80, s81)) | (~always19(s80)) | always19(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s80, s81)) | (~always19(s80)) | always19(s81))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8392,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s80, s81)) | (~always19(s80)) | always19(s81))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8393,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s80, s81)) | (~always19(s80)) | always19(s81)),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 1.85/1.68 tff(8394,plain,
% 1.85/1.68 ((~always19(s80)) | always19(s81)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8393, 8242, 6779])).
% 1.85/1.68 tff(8395,plain,
% 1.85/1.68 (~always19(s80)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8394, 8386])).
% 1.85/1.68 tff(8396,plain,
% 1.85/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s80) | (~node20(s80)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s80) | (~node20(s80)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8397,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s80) | (~node20(s80)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8398,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s80) | (~node20(s80))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8397, 8396])).
% 1.85/1.68 tff(8399,plain,
% 1.85/1.68 (~node20(s80)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8398, 8254, 8395])).
% 1.85/1.68 tff(8400,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8401,plain,
% 1.85/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8402,plain,
% 1.85/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state1(s79, c_t1))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 1.85/1.68 tff(8403,plain,
% 1.85/1.68 (~m_main_v_state1(s79, c_t1)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8402, 35, 6707])).
% 1.85/1.68 tff(8404,plain,
% 1.85/1.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s79, c_t1) | (~node20(s79)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s79, c_t1) | (~node20(s79)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8405,plain,
% 1.85/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s79, c_t1) | (~node20(s79)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8406,plain,
% 1.85/1.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s79, c_t1) | (~node20(s79))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8405, 8404])).
% 1.85/1.68 tff(8407,plain,
% 1.85/1.68 (~node20(s79)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8406, 8214, 8403])).
% 1.85/1.68 tff(8408,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s78)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s78)) | (~m_main_v_state1(s78, c_c1)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8409,plain,
% 1.85/1.68 (((~m_main_v_state1(s78, c_c1)) | (~always19(s78))) <=> ((~always19(s78)) | (~m_main_v_state1(s78, c_c1)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8410,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s78, c_c1)) | (~always19(s78)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s78)) | (~m_main_v_state1(s78, c_c1))))),
% 1.85/1.68 inference(monotonicity,[status(thm)],[8409])).
% 1.85/1.68 tff(8411,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s78, c_c1)) | (~always19(s78)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s78)) | (~m_main_v_state1(s78, c_c1)))),
% 1.85/1.68 inference(transitivity,[status(thm)],[8410, 8408])).
% 1.85/1.68 tff(8412,plain,
% 1.85/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s78, c_c1)) | (~always19(s78)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8413,plain,
% 1.85/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s78)) | (~m_main_v_state1(s78, c_c1))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8412, 8411])).
% 1.85/1.68 tff(8414,plain,
% 1.85/1.68 (~always19(s78)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8413, 8225, 6625])).
% 1.85/1.68 tff(8415,plain,
% 1.85/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s77, s78)) | (~always19(s77)) | always19(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s77, s78)) | (~always19(s77)) | always19(s78))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8416,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s77, s78)) | (~always19(s77)) | always19(s78))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8417,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s77, s78)) | (~always19(s77)) | always19(s78)),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8416, 8415])).
% 1.85/1.68 tff(8418,plain,
% 1.85/1.68 ((~always19(s77)) | always19(s78)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8417, 8242, 6541])).
% 1.85/1.68 tff(8419,plain,
% 1.85/1.68 (~always19(s77)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8418, 8414])).
% 1.85/1.68 tff(8420,plain,
% 1.85/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s77) | (~node20(s77)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s77) | (~node20(s77)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8421,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s77) | (~node20(s77)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8422,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s77) | (~node20(s77))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8421, 8420])).
% 1.85/1.68 tff(8423,plain,
% 1.85/1.68 (~node20(s77)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8422, 8254, 8419])).
% 1.85/1.68 tff(8424,plain,
% 1.85/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s76, s77)) | (~always19(s76)) | always19(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s76, s77)) | (~always19(s76)) | always19(s77))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8425,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s76, s77)) | (~always19(s76)) | always19(s77))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8426,plain,
% 1.85/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s76, s77)) | (~always19(s76)) | always19(s77)),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 1.85/1.68 tff(8427,plain,
% 1.85/1.68 ((~always19(s76)) | always19(s77)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8426, 8242, 6474])).
% 1.85/1.68 tff(8428,plain,
% 1.85/1.68 (~always19(s76)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8427, 8419])).
% 1.85/1.68 tff(8429,plain,
% 1.85/1.68 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s76) | (~node20(s76)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s76) | (~node20(s76)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8430,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s76) | (~node20(s76)))),
% 1.85/1.68 inference(quant_inst,[status(thm)],[])).
% 1.85/1.68 tff(8431,plain,
% 1.85/1.68 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s76) | (~node20(s76))),
% 1.85/1.68 inference(modus_ponens,[status(thm)],[8430, 8429])).
% 1.85/1.68 tff(8432,plain,
% 1.85/1.68 (~node20(s76)),
% 1.85/1.68 inference(unit_resolution,[status(thm)],[8431, 8254, 8428])).
% 1.85/1.68 tff(8433,plain,
% 1.85/1.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1)))),
% 1.85/1.68 inference(rewrite,[status(thm)],[])).
% 1.85/1.68 tff(8434,plain,
% 1.85/1.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8435,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state1(s75, c_t1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 1.85/1.69 tff(8436,plain,
% 1.85/1.69 (~m_main_v_state1(s75, c_t1)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8435, 35, 6322])).
% 1.85/1.69 tff(8437,plain,
% 1.85/1.69 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s75, c_t1) | (~node20(s75)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s75, c_t1) | (~node20(s75)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8438,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s75, c_t1) | (~node20(s75)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8439,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s75, c_t1) | (~node20(s75))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 1.85/1.69 tff(8440,plain,
% 1.85/1.69 (~node20(s75)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8439, 8214, 8436])).
% 1.85/1.69 tff(8441,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s74)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s74)) | (~m_main_v_state1(s74, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8442,plain,
% 1.85/1.69 (((~m_main_v_state1(s74, c_c1)) | (~always19(s74))) <=> ((~always19(s74)) | (~m_main_v_state1(s74, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8443,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s74, c_c1)) | (~always19(s74)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s74)) | (~m_main_v_state1(s74, c_c1))))),
% 1.85/1.69 inference(monotonicity,[status(thm)],[8442])).
% 1.85/1.69 tff(8444,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s74, c_c1)) | (~always19(s74)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s74)) | (~m_main_v_state1(s74, c_c1)))),
% 1.85/1.69 inference(transitivity,[status(thm)],[8443, 8441])).
% 1.85/1.69 tff(8445,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s74, c_c1)) | (~always19(s74)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8446,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s74)) | (~m_main_v_state1(s74, c_c1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8445, 8444])).
% 1.85/1.69 tff(8447,plain,
% 1.85/1.69 (~always19(s74)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8446, 8225, 6258])).
% 1.85/1.69 tff(8448,plain,
% 1.85/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s73, s74)) | (~always19(s73)) | always19(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s73, s74)) | (~always19(s73)) | always19(s74))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8449,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s73, s74)) | (~always19(s73)) | always19(s74))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8450,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s73, s74)) | (~always19(s73)) | always19(s74)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 1.85/1.69 tff(8451,plain,
% 1.85/1.69 ((~always19(s73)) | always19(s74)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8450, 8242, 6246])).
% 1.85/1.69 tff(8452,plain,
% 1.85/1.69 (~always19(s73)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8451, 8447])).
% 1.85/1.69 tff(8453,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s73) | (~node20(s73)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s73) | (~node20(s73)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8454,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s73) | (~node20(s73)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8455,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s73) | (~node20(s73))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8454, 8453])).
% 1.85/1.69 tff(8456,plain,
% 1.85/1.69 (~node20(s73)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8455, 8254, 8452])).
% 1.85/1.69 tff(8457,plain,
% 1.85/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s72, s73)) | (~always19(s72)) | always19(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s72, s73)) | (~always19(s72)) | always19(s73))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8458,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s72, s73)) | (~always19(s72)) | always19(s73))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8459,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s72, s73)) | (~always19(s72)) | always19(s73)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 1.85/1.69 tff(8460,plain,
% 1.85/1.69 ((~always19(s72)) | always19(s73)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8459, 8242, 6151])).
% 1.85/1.69 tff(8461,plain,
% 1.85/1.69 (~always19(s72)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8460, 8452])).
% 1.85/1.69 tff(8462,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s72) | (~node20(s72)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s72) | (~node20(s72)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8463,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s72) | (~node20(s72)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8464,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s72) | (~node20(s72))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8463, 8462])).
% 1.85/1.69 tff(8465,plain,
% 1.85/1.69 (~node20(s72)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8464, 8254, 8461])).
% 1.85/1.69 tff(8466,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8467,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8468,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state1(s71, c_t1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 1.85/1.69 tff(8469,plain,
% 1.85/1.69 (~m_main_v_state1(s71, c_t1)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8468, 35, 6079])).
% 1.85/1.69 tff(8470,plain,
% 1.85/1.69 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s71, c_t1) | (~node20(s71)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s71, c_t1) | (~node20(s71)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8471,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s71, c_t1) | (~node20(s71)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8472,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s71, c_t1) | (~node20(s71))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8471, 8470])).
% 1.85/1.69 tff(8473,plain,
% 1.85/1.69 (~node20(s71)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8472, 8214, 8469])).
% 1.85/1.69 tff(8474,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s70)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s70)) | (~m_main_v_state1(s70, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8475,plain,
% 1.85/1.69 (((~m_main_v_state1(s70, c_c1)) | (~always19(s70))) <=> ((~always19(s70)) | (~m_main_v_state1(s70, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8476,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s70, c_c1)) | (~always19(s70)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s70)) | (~m_main_v_state1(s70, c_c1))))),
% 1.85/1.69 inference(monotonicity,[status(thm)],[8475])).
% 1.85/1.69 tff(8477,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s70, c_c1)) | (~always19(s70)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s70)) | (~m_main_v_state1(s70, c_c1)))),
% 1.85/1.69 inference(transitivity,[status(thm)],[8476, 8474])).
% 1.85/1.69 tff(8478,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s70, c_c1)) | (~always19(s70)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8479,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s70)) | (~m_main_v_state1(s70, c_c1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8478, 8477])).
% 1.85/1.69 tff(8480,plain,
% 1.85/1.69 (~always19(s70)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8479, 8225, 5997])).
% 1.85/1.69 tff(8481,plain,
% 1.85/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s69, s70)) | (~always19(s69)) | always19(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s69, s70)) | (~always19(s69)) | always19(s70))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8482,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s69, s70)) | (~always19(s69)) | always19(s70))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8483,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s69, s70)) | (~always19(s69)) | always19(s70)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 1.85/1.69 tff(8484,plain,
% 1.85/1.69 ((~always19(s69)) | always19(s70)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8483, 8242, 5913])).
% 1.85/1.69 tff(8485,plain,
% 1.85/1.69 (~always19(s69)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8484, 8480])).
% 1.85/1.69 tff(8486,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s69) | (~node20(s69)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s69) | (~node20(s69)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8487,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s69) | (~node20(s69)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8488,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s69) | (~node20(s69))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 1.85/1.69 tff(8489,plain,
% 1.85/1.69 (~node20(s69)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8488, 8254, 8485])).
% 1.85/1.69 tff(8490,plain,
% 1.85/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s68, s69)) | (~always19(s68)) | always19(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s68, s69)) | (~always19(s68)) | always19(s69))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8491,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s68, s69)) | (~always19(s68)) | always19(s69))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8492,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s68, s69)) | (~always19(s68)) | always19(s69)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 1.85/1.69 tff(8493,plain,
% 1.85/1.69 ((~always19(s68)) | always19(s69)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8492, 8242, 5846])).
% 1.85/1.69 tff(8494,plain,
% 1.85/1.69 (~always19(s68)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8493, 8485])).
% 1.85/1.69 tff(8495,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s68) | (~node20(s68)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s68) | (~node20(s68)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8496,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s68) | (~node20(s68)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8497,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s68) | (~node20(s68))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8496, 8495])).
% 1.85/1.69 tff(8498,plain,
% 1.85/1.69 (~node20(s68)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8497, 8254, 8494])).
% 1.85/1.69 tff(8499,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8500,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8501,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state1(s67, c_t1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8500, 8499])).
% 1.85/1.69 tff(8502,plain,
% 1.85/1.69 (~m_main_v_state1(s67, c_t1)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8501, 35, 5694])).
% 1.85/1.69 tff(8503,plain,
% 1.85/1.69 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s67, c_t1) | (~node20(s67)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s67, c_t1) | (~node20(s67)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8504,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s67, c_t1) | (~node20(s67)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8505,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s67, c_t1) | (~node20(s67))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 1.85/1.69 tff(8506,plain,
% 1.85/1.69 (~node20(s67)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8505, 8214, 8502])).
% 1.85/1.69 tff(8507,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s66)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s66)) | (~m_main_v_state1(s66, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8508,plain,
% 1.85/1.69 (((~m_main_v_state1(s66, c_c1)) | (~always19(s66))) <=> ((~always19(s66)) | (~m_main_v_state1(s66, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8509,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s66, c_c1)) | (~always19(s66)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~always19(s66)) | (~m_main_v_state1(s66, c_c1))))),
% 1.85/1.69 inference(monotonicity,[status(thm)],[8508])).
% 1.85/1.69 tff(8510,plain,
% 1.85/1.69 (((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s66, c_c1)) | (~always19(s66)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s66)) | (~m_main_v_state1(s66, c_c1)))),
% 1.85/1.69 inference(transitivity,[status(thm)],[8509, 8507])).
% 1.85/1.69 tff(8511,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s66, c_c1)) | (~always19(s66)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8512,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s66)) | (~m_main_v_state1(s66, c_c1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8511, 8510])).
% 1.85/1.69 tff(8513,plain,
% 1.85/1.69 (~always19(s66)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8512, 8225, 5630])).
% 1.85/1.69 tff(8514,plain,
% 1.85/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s65, s66)) | (~always19(s65)) | always19(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s65, s66)) | (~always19(s65)) | always19(s66))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8515,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s65, s66)) | (~always19(s65)) | always19(s66))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8516,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s65, s66)) | (~always19(s65)) | always19(s66)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8515, 8514])).
% 1.85/1.69 tff(8517,plain,
% 1.85/1.69 ((~always19(s65)) | always19(s66)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8516, 8242, 5618])).
% 1.85/1.69 tff(8518,plain,
% 1.85/1.69 (~always19(s65)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8517, 8513])).
% 1.85/1.69 tff(8519,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s65) | (~node20(s65)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s65) | (~node20(s65)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8520,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s65) | (~node20(s65)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8521,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s65) | (~node20(s65))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8520, 8519])).
% 1.85/1.69 tff(8522,plain,
% 1.85/1.69 (~node20(s65)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8521, 8254, 8518])).
% 1.85/1.69 tff(8523,plain,
% 1.85/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s65)) | (~always19(s64)) | always19(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s64, s65)) | (~always19(s64)) | always19(s65))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8524,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s64, s65)) | (~always19(s64)) | always19(s65))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8525,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s64, s65)) | (~always19(s64)) | always19(s65)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 1.85/1.69 tff(8526,plain,
% 1.85/1.69 ((~always19(s64)) | always19(s65)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8525, 8242, 5523])).
% 1.85/1.69 tff(8527,plain,
% 1.85/1.69 (~always19(s64)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8526, 8518])).
% 1.85/1.69 tff(8528,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s64) | (~node20(s64)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s64) | (~node20(s64)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8529,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s64) | (~node20(s64)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8530,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s64) | (~node20(s64))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 1.85/1.69 tff(8531,plain,
% 1.85/1.69 (~node20(s64)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8530, 8254, 8527])).
% 1.85/1.69 tff(8532,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8533,plain,
% 1.85/1.69 ((~![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)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8534,plain,
% 1.85/1.69 ((~![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))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8533, 8532])).
% 1.85/1.69 tff(8535,plain,
% 1.85/1.69 (~m_main_v_state1(s63, c_t1)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8534, 35, 5451])).
% 1.85/1.69 tff(8536,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8537,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s63, c_t1) | (~node20(s63)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8538,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s63, c_t1) | (~node20(s63))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 1.85/1.69 tff(8539,plain,
% 1.85/1.69 (~node20(s63)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8538, 8214, 8535])).
% 1.85/1.69 tff(8540,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8541,plain,
% 1.85/1.69 (((~m_main_v_state1(s62, c_c1)) | (~always19(s62))) <=> ((~always19(s62)) | (~m_main_v_state1(s62, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8542,plain,
% 1.85/1.69 (((~![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))))),
% 1.85/1.69 inference(monotonicity,[status(thm)],[8541])).
% 1.85/1.69 tff(8543,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(transitivity,[status(thm)],[8542, 8540])).
% 1.85/1.69 tff(8544,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s62, c_c1)) | (~always19(s62)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8545,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s62)) | (~m_main_v_state1(s62, c_c1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 1.85/1.69 tff(8546,plain,
% 1.85/1.69 (~always19(s62)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8545, 8225, 5369])).
% 1.85/1.69 tff(8547,plain,
% 1.85/1.69 (((~![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))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8548,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s61, s62)) | (~always19(s61)) | always19(s62))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8549,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s61, s62)) | (~always19(s61)) | always19(s62)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 1.85/1.69 tff(8550,plain,
% 1.85/1.69 ((~always19(s61)) | always19(s62)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8549, 8242, 5285])).
% 1.85/1.69 tff(8551,plain,
% 1.85/1.69 (~always19(s61)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8550, 8546])).
% 1.85/1.69 tff(8552,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s61) | (~node20(s61)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s61) | (~node20(s61)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8553,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s61) | (~node20(s61)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8554,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s61) | (~node20(s61))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 1.85/1.69 tff(8555,plain,
% 1.85/1.69 (~node20(s61)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8554, 8254, 8551])).
% 1.85/1.69 tff(8556,plain,
% 1.85/1.69 (((~![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))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8557,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s60, s61)) | (~always19(s60)) | always19(s61))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8558,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s60, s61)) | (~always19(s60)) | always19(s61)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8557, 8556])).
% 1.85/1.69 tff(8559,plain,
% 1.85/1.69 ((~always19(s60)) | always19(s61)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8558, 8242, 5218])).
% 1.85/1.69 tff(8560,plain,
% 1.85/1.69 (~always19(s60)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8559, 8551])).
% 1.85/1.69 tff(8561,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s60) | (~node20(s60)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s60) | (~node20(s60)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8562,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s60) | (~node20(s60)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8563,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s60) | (~node20(s60))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 1.85/1.69 tff(8564,plain,
% 1.85/1.69 (~node20(s60)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8563, 8254, 8560])).
% 1.85/1.69 tff(8565,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8566,plain,
% 1.85/1.69 ((~![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)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8567,plain,
% 1.85/1.69 ((~![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))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 1.85/1.69 tff(8568,plain,
% 1.85/1.69 (~m_main_v_state1(s59, c_t1)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8567, 35, 5066])).
% 1.85/1.69 tff(8569,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8570,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s59, c_t1) | (~node20(s59)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8571,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s59, c_t1) | (~node20(s59))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 1.85/1.69 tff(8572,plain,
% 1.85/1.69 (~node20(s59)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8571, 8214, 8568])).
% 1.85/1.69 tff(8573,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8574,plain,
% 1.85/1.69 (((~m_main_v_state1(s58, c_c1)) | (~always19(s58))) <=> ((~always19(s58)) | (~m_main_v_state1(s58, c_c1)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8575,plain,
% 1.85/1.69 (((~![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))))),
% 1.85/1.69 inference(monotonicity,[status(thm)],[8574])).
% 1.85/1.69 tff(8576,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(transitivity,[status(thm)],[8575, 8573])).
% 1.85/1.69 tff(8577,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s58, c_c1)) | (~always19(s58)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8578,plain,
% 1.85/1.69 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s58)) | (~m_main_v_state1(s58, c_c1))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 1.85/1.69 tff(8579,plain,
% 1.85/1.69 (~always19(s58)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8578, 8225, 5002])).
% 1.85/1.69 tff(8580,plain,
% 1.85/1.69 (((~![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))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8581,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s57, s58)) | (~always19(s57)) | always19(s58))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8582,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s57, s58)) | (~always19(s57)) | always19(s58)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 1.85/1.69 tff(8583,plain,
% 1.85/1.69 ((~always19(s57)) | always19(s58)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8582, 8242, 4990])).
% 1.85/1.69 tff(8584,plain,
% 1.85/1.69 (~always19(s57)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8583, 8579])).
% 1.85/1.69 tff(8585,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s57) | (~node20(s57)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s57) | (~node20(s57)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8586,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s57) | (~node20(s57)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8587,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s57) | (~node20(s57))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 1.85/1.69 tff(8588,plain,
% 1.85/1.69 (~node20(s57)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8587, 8254, 8584])).
% 1.85/1.69 tff(8589,plain,
% 1.85/1.69 (((~![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))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8590,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s56, s57)) | (~always19(s56)) | always19(s57))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8591,plain,
% 1.85/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s56, s57)) | (~always19(s56)) | always19(s57)),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8590, 8589])).
% 1.85/1.69 tff(8592,plain,
% 1.85/1.69 ((~always19(s56)) | always19(s57)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8591, 8242, 4895])).
% 1.85/1.69 tff(8593,plain,
% 1.85/1.69 (~always19(s56)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8592, 8584])).
% 1.85/1.69 tff(8594,plain,
% 1.85/1.69 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s56) | (~node20(s56)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s56) | (~node20(s56)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8595,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s56) | (~node20(s56)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8596,plain,
% 1.85/1.69 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s56) | (~node20(s56))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8595, 8594])).
% 1.85/1.69 tff(8597,plain,
% 1.85/1.69 (~node20(s56)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8596, 8254, 8593])).
% 1.85/1.69 tff(8598,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8599,plain,
% 1.85/1.69 ((~![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)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8600,plain,
% 1.85/1.69 ((~![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))),
% 1.85/1.69 inference(modus_ponens,[status(thm)],[8599, 8598])).
% 1.85/1.69 tff(8601,plain,
% 1.85/1.69 (~m_main_v_state1(s55, c_t1)),
% 1.85/1.69 inference(unit_resolution,[status(thm)],[8600, 35, 4823])).
% 1.85/1.69 tff(8602,plain,
% 1.85/1.69 (((~![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)))),
% 1.85/1.69 inference(rewrite,[status(thm)],[])).
% 1.85/1.69 tff(8603,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s55, c_t1) | (~node20(s55)))),
% 1.85/1.69 inference(quant_inst,[status(thm)],[])).
% 1.85/1.69 tff(8604,plain,
% 1.85/1.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s55, c_t1) | (~node20(s55))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8603, 8602])).
% 1.85/1.70 tff(8605,plain,
% 1.85/1.70 (~node20(s55)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8604, 8214, 8601])).
% 1.85/1.70 tff(8606,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8607,plain,
% 1.85/1.70 (((~m_main_v_state1(s54, c_c1)) | (~always19(s54))) <=> ((~always19(s54)) | (~m_main_v_state1(s54, c_c1)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8608,plain,
% 1.85/1.70 (((~![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))))),
% 1.85/1.70 inference(monotonicity,[status(thm)],[8607])).
% 1.85/1.70 tff(8609,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(transitivity,[status(thm)],[8608, 8606])).
% 1.85/1.70 tff(8610,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s54, c_c1)) | (~always19(s54)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8611,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s54)) | (~m_main_v_state1(s54, c_c1))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 1.85/1.70 tff(8612,plain,
% 1.85/1.70 (~always19(s54)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8611, 8225, 4741])).
% 1.85/1.70 tff(8613,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8614,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s53, s54)) | (~always19(s53)) | always19(s54))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8615,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s53, s54)) | (~always19(s53)) | always19(s54)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 1.85/1.70 tff(8616,plain,
% 1.85/1.70 ((~always19(s53)) | always19(s54)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8615, 8242, 4657])).
% 1.85/1.70 tff(8617,plain,
% 1.85/1.70 (~always19(s53)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8616, 8612])).
% 1.85/1.70 tff(8618,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s53) | (~node20(s53)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s53) | (~node20(s53)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8619,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s53) | (~node20(s53)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8620,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s53) | (~node20(s53))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 1.85/1.70 tff(8621,plain,
% 1.85/1.70 (~node20(s53)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8620, 8254, 8617])).
% 1.85/1.70 tff(8622,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8623,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s52, s53)) | (~always19(s52)) | always19(s53))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8624,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s52, s53)) | (~always19(s52)) | always19(s53)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 1.85/1.70 tff(8625,plain,
% 1.85/1.70 ((~always19(s52)) | always19(s53)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8624, 8242, 4590])).
% 1.85/1.70 tff(8626,plain,
% 1.85/1.70 (~always19(s52)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8625, 8617])).
% 1.85/1.70 tff(8627,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s52) | (~node20(s52)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s52) | (~node20(s52)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8628,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s52) | (~node20(s52)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8629,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s52) | (~node20(s52))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8628, 8627])).
% 1.85/1.70 tff(8630,plain,
% 1.85/1.70 (~node20(s52)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8629, 8254, 8626])).
% 1.85/1.70 tff(8631,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8632,plain,
% 1.85/1.70 ((~![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)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8633,plain,
% 1.85/1.70 ((~![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))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8632, 8631])).
% 1.85/1.70 tff(8634,plain,
% 1.85/1.70 (~m_main_v_state1(s51, c_t1)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8633, 35, 4438])).
% 1.85/1.70 tff(8635,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8636,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s51, c_t1) | (~node20(s51)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8637,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s51, c_t1) | (~node20(s51))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8636, 8635])).
% 1.85/1.70 tff(8638,plain,
% 1.85/1.70 (~node20(s51)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8637, 8214, 8634])).
% 1.85/1.70 tff(8639,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8640,plain,
% 1.85/1.70 (((~m_main_v_state1(s50, c_c1)) | (~always19(s50))) <=> ((~always19(s50)) | (~m_main_v_state1(s50, c_c1)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8641,plain,
% 1.85/1.70 (((~![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))))),
% 1.85/1.70 inference(monotonicity,[status(thm)],[8640])).
% 1.85/1.70 tff(8642,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(transitivity,[status(thm)],[8641, 8639])).
% 1.85/1.70 tff(8643,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s50, c_c1)) | (~always19(s50)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8644,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s50)) | (~m_main_v_state1(s50, c_c1))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8643, 8642])).
% 1.85/1.70 tff(8645,plain,
% 1.85/1.70 (~always19(s50)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8644, 8225, 4374])).
% 1.85/1.70 tff(8646,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8647,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s49, s50)) | (~always19(s49)) | always19(s50))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8648,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s49, s50)) | (~always19(s49)) | always19(s50)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8647, 8646])).
% 1.85/1.70 tff(8649,plain,
% 1.85/1.70 ((~always19(s49)) | always19(s50)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8648, 8242, 4362])).
% 1.85/1.70 tff(8650,plain,
% 1.85/1.70 (~always19(s49)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8649, 8645])).
% 1.85/1.70 tff(8651,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s49) | (~node20(s49)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s49) | (~node20(s49)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8652,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s49) | (~node20(s49)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8653,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s49) | (~node20(s49))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 1.85/1.70 tff(8654,plain,
% 1.85/1.70 (~node20(s49)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8653, 8254, 8650])).
% 1.85/1.70 tff(8655,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8656,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s48, s49)) | (~always19(s48)) | always19(s49))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8657,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s48, s49)) | (~always19(s48)) | always19(s49)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 1.85/1.70 tff(8658,plain,
% 1.85/1.70 ((~always19(s48)) | always19(s49)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8657, 8242, 4267])).
% 1.85/1.70 tff(8659,plain,
% 1.85/1.70 (~always19(s48)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8658, 8650])).
% 1.85/1.70 tff(8660,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s48) | (~node20(s48)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s48) | (~node20(s48)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8661,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s48) | (~node20(s48)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8662,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s48) | (~node20(s48))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 1.85/1.70 tff(8663,plain,
% 1.85/1.70 (~node20(s48)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8662, 8254, 8659])).
% 1.85/1.70 tff(8664,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8665,plain,
% 1.85/1.70 ((~![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)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8666,plain,
% 1.85/1.70 ((~![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))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 1.85/1.70 tff(8667,plain,
% 1.85/1.70 (~m_main_v_state1(s47, c_t1)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8666, 35, 4195])).
% 1.85/1.70 tff(8668,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8669,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s47, c_t1) | (~node20(s47)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8670,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s47, c_t1) | (~node20(s47))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8669, 8668])).
% 1.85/1.70 tff(8671,plain,
% 1.85/1.70 (~node20(s47)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8670, 8214, 8667])).
% 1.85/1.70 tff(8672,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8673,plain,
% 1.85/1.70 (((~m_main_v_state1(s46, c_c1)) | (~always19(s46))) <=> ((~always19(s46)) | (~m_main_v_state1(s46, c_c1)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8674,plain,
% 1.85/1.70 (((~![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))))),
% 1.85/1.70 inference(monotonicity,[status(thm)],[8673])).
% 1.85/1.70 tff(8675,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(transitivity,[status(thm)],[8674, 8672])).
% 1.85/1.70 tff(8676,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s46, c_c1)) | (~always19(s46)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8677,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s46)) | (~m_main_v_state1(s46, c_c1))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8676, 8675])).
% 1.85/1.70 tff(8678,plain,
% 1.85/1.70 (~always19(s46)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8677, 8225, 4113])).
% 1.85/1.70 tff(8679,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8680,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s45, s46)) | (~always19(s45)) | always19(s46))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8681,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s45, s46)) | (~always19(s45)) | always19(s46)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8680, 8679])).
% 1.85/1.70 tff(8682,plain,
% 1.85/1.70 ((~always19(s45)) | always19(s46)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8681, 8242, 4029])).
% 1.85/1.70 tff(8683,plain,
% 1.85/1.70 (~always19(s45)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8682, 8678])).
% 1.85/1.70 tff(8684,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s45) | (~node20(s45)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s45) | (~node20(s45)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8685,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s45) | (~node20(s45)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8686,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s45) | (~node20(s45))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 1.85/1.70 tff(8687,plain,
% 1.85/1.70 (~node20(s45)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8686, 8254, 8683])).
% 1.85/1.70 tff(8688,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8689,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s44, s45)) | (~always19(s44)) | always19(s45))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8690,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s44, s45)) | (~always19(s44)) | always19(s45)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 1.85/1.70 tff(8691,plain,
% 1.85/1.70 ((~always19(s44)) | always19(s45)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8690, 8242, 3962])).
% 1.85/1.70 tff(8692,plain,
% 1.85/1.70 (~always19(s44)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8691, 8683])).
% 1.85/1.70 tff(8693,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s44) | (~node20(s44)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s44) | (~node20(s44)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8694,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s44) | (~node20(s44)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8695,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s44) | (~node20(s44))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 1.85/1.70 tff(8696,plain,
% 1.85/1.70 (~node20(s44)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8695, 8254, 8692])).
% 1.85/1.70 tff(8697,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8698,plain,
% 1.85/1.70 ((~![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)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8699,plain,
% 1.85/1.70 ((~![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))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 1.85/1.70 tff(8700,plain,
% 1.85/1.70 (~m_main_v_state1(s43, c_t1)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8699, 35, 3810])).
% 1.85/1.70 tff(8701,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8702,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s43, c_t1) | (~node20(s43)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8703,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s43, c_t1) | (~node20(s43))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 1.85/1.70 tff(8704,plain,
% 1.85/1.70 (~node20(s43)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8703, 8214, 8700])).
% 1.85/1.70 tff(8705,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8706,plain,
% 1.85/1.70 (((~m_main_v_state1(s42, c_c1)) | (~always19(s42))) <=> ((~always19(s42)) | (~m_main_v_state1(s42, c_c1)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8707,plain,
% 1.85/1.70 (((~![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))))),
% 1.85/1.70 inference(monotonicity,[status(thm)],[8706])).
% 1.85/1.70 tff(8708,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(transitivity,[status(thm)],[8707, 8705])).
% 1.85/1.70 tff(8709,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s42, c_c1)) | (~always19(s42)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8710,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s42)) | (~m_main_v_state1(s42, c_c1))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8709, 8708])).
% 1.85/1.70 tff(8711,plain,
% 1.85/1.70 (~always19(s42)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8710, 8225, 3746])).
% 1.85/1.70 tff(8712,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8713,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s41, s42)) | (~always19(s41)) | always19(s42))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8714,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s41, s42)) | (~always19(s41)) | always19(s42)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8713, 8712])).
% 1.85/1.70 tff(8715,plain,
% 1.85/1.70 ((~always19(s41)) | always19(s42)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8714, 8242, 3734])).
% 1.85/1.70 tff(8716,plain,
% 1.85/1.70 (~always19(s41)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8715, 8711])).
% 1.85/1.70 tff(8717,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s41) | (~node20(s41)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s41) | (~node20(s41)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8718,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s41) | (~node20(s41)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8719,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s41) | (~node20(s41))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8718, 8717])).
% 1.85/1.70 tff(8720,plain,
% 1.85/1.70 (~node20(s41)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8719, 8254, 8716])).
% 1.85/1.70 tff(8721,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8722,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s40, s41)) | (~always19(s40)) | always19(s41))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8723,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s40, s41)) | (~always19(s40)) | always19(s41)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8722, 8721])).
% 1.85/1.70 tff(8724,plain,
% 1.85/1.70 ((~always19(s40)) | always19(s41)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8723, 8242, 3639])).
% 1.85/1.70 tff(8725,plain,
% 1.85/1.70 (~always19(s40)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8724, 8716])).
% 1.85/1.70 tff(8726,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s40) | (~node20(s40)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s40) | (~node20(s40)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8727,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s40) | (~node20(s40)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8728,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s40) | (~node20(s40))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8727, 8726])).
% 1.85/1.70 tff(8729,plain,
% 1.85/1.70 (~node20(s40)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8728, 8254, 8725])).
% 1.85/1.70 tff(8730,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8731,plain,
% 1.85/1.70 ((~![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)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8732,plain,
% 1.85/1.70 ((~![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))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 1.85/1.70 tff(8733,plain,
% 1.85/1.70 (~m_main_v_state1(s39, c_t1)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8732, 35, 3567])).
% 1.85/1.70 tff(8734,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8735,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s39, c_t1) | (~node20(s39)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8736,plain,
% 1.85/1.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s39, c_t1) | (~node20(s39))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8735, 8734])).
% 1.85/1.70 tff(8737,plain,
% 1.85/1.70 (~node20(s39)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8736, 8214, 8733])).
% 1.85/1.70 tff(8738,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8739,plain,
% 1.85/1.70 (((~m_main_v_state1(s38, c_c1)) | (~always19(s38))) <=> ((~always19(s38)) | (~m_main_v_state1(s38, c_c1)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8740,plain,
% 1.85/1.70 (((~![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))))),
% 1.85/1.70 inference(monotonicity,[status(thm)],[8739])).
% 1.85/1.70 tff(8741,plain,
% 1.85/1.70 (((~![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)))),
% 1.85/1.70 inference(transitivity,[status(thm)],[8740, 8738])).
% 1.85/1.70 tff(8742,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s38, c_c1)) | (~always19(s38)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8743,plain,
% 1.85/1.70 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s38)) | (~m_main_v_state1(s38, c_c1))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8742, 8741])).
% 1.85/1.70 tff(8744,plain,
% 1.85/1.70 (~always19(s38)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8743, 8225, 3485])).
% 1.85/1.70 tff(8745,plain,
% 1.85/1.70 (((~![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))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8746,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s37, s38)) | (~always19(s37)) | always19(s38))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8747,plain,
% 1.85/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s37, s38)) | (~always19(s37)) | always19(s38)),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 1.85/1.70 tff(8748,plain,
% 1.85/1.70 ((~always19(s37)) | always19(s38)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8747, 8242, 3401])).
% 1.85/1.70 tff(8749,plain,
% 1.85/1.70 (~always19(s37)),
% 1.85/1.70 inference(unit_resolution,[status(thm)],[8748, 8744])).
% 1.85/1.70 tff(8750,plain,
% 1.85/1.70 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s37) | (~node20(s37)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s37) | (~node20(s37)))),
% 1.85/1.70 inference(rewrite,[status(thm)],[])).
% 1.85/1.70 tff(8751,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s37) | (~node20(s37)))),
% 1.85/1.70 inference(quant_inst,[status(thm)],[])).
% 1.85/1.70 tff(8752,plain,
% 1.85/1.70 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s37) | (~node20(s37))),
% 1.85/1.70 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 1.85/1.70 tff(8753,plain,
% 1.85/1.71 (~node20(s37)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8752, 8254, 8749])).
% 1.85/1.71 tff(8754,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8755,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s36, s37)) | (~always19(s36)) | always19(s37))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8756,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s36, s37)) | (~always19(s36)) | always19(s37)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 1.85/1.71 tff(8757,plain,
% 1.85/1.71 ((~always19(s36)) | always19(s37)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8756, 8242, 3334])).
% 1.85/1.71 tff(8758,plain,
% 1.85/1.71 (~always19(s36)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8757, 8749])).
% 1.85/1.71 tff(8759,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s36) | (~node20(s36)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s36) | (~node20(s36)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8760,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s36) | (~node20(s36)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8761,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s36) | (~node20(s36))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 1.85/1.71 tff(8762,plain,
% 1.85/1.71 (~node20(s36)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8761, 8254, 8758])).
% 1.85/1.71 tff(8763,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8764,plain,
% 1.85/1.71 ((~![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)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8765,plain,
% 1.85/1.71 ((~![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))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8764, 8763])).
% 1.85/1.71 tff(8766,plain,
% 1.85/1.71 (~m_main_v_state1(s35, c_t1)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8765, 35, 3182])).
% 1.85/1.71 tff(8767,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8768,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s35, c_t1) | (~node20(s35)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8769,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s35, c_t1) | (~node20(s35))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8768, 8767])).
% 1.85/1.71 tff(8770,plain,
% 1.85/1.71 (~node20(s35)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8769, 8214, 8766])).
% 1.85/1.71 tff(8771,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8772,plain,
% 1.85/1.71 (((~m_main_v_state1(s34, c_c1)) | (~always19(s34))) <=> ((~always19(s34)) | (~m_main_v_state1(s34, c_c1)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8773,plain,
% 1.85/1.71 (((~![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))))),
% 1.85/1.71 inference(monotonicity,[status(thm)],[8772])).
% 1.85/1.71 tff(8774,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(transitivity,[status(thm)],[8773, 8771])).
% 1.85/1.71 tff(8775,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s34, c_c1)) | (~always19(s34)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8776,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s34)) | (~m_main_v_state1(s34, c_c1))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8775, 8774])).
% 1.85/1.71 tff(8777,plain,
% 1.85/1.71 (~always19(s34)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8776, 8225, 3118])).
% 1.85/1.71 tff(8778,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8779,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s33, s34)) | (~always19(s33)) | always19(s34))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8780,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s33, s34)) | (~always19(s33)) | always19(s34)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8779, 8778])).
% 1.85/1.71 tff(8781,plain,
% 1.85/1.71 ((~always19(s33)) | always19(s34)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8780, 8242, 3106])).
% 1.85/1.71 tff(8782,plain,
% 1.85/1.71 (~always19(s33)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8781, 8777])).
% 1.85/1.71 tff(8783,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s33) | (~node20(s33)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s33) | (~node20(s33)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8784,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s33) | (~node20(s33)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8785,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s33) | (~node20(s33))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8784, 8783])).
% 1.85/1.71 tff(8786,plain,
% 1.85/1.71 (~node20(s33)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8785, 8254, 8782])).
% 1.85/1.71 tff(8787,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8788,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s32, s33)) | (~always19(s32)) | always19(s33))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8789,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s32, s33)) | (~always19(s32)) | always19(s33)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8788, 8787])).
% 1.85/1.71 tff(8790,plain,
% 1.85/1.71 ((~always19(s32)) | always19(s33)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8789, 8242, 3011])).
% 1.85/1.71 tff(8791,plain,
% 1.85/1.71 (~always19(s32)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8790, 8782])).
% 1.85/1.71 tff(8792,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s32) | (~node20(s32)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s32) | (~node20(s32)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8793,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s32) | (~node20(s32)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8794,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s32) | (~node20(s32))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 1.85/1.71 tff(8795,plain,
% 1.85/1.71 (~node20(s32)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8794, 8254, 8791])).
% 1.85/1.71 tff(8796,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8797,plain,
% 1.85/1.71 ((~![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)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8798,plain,
% 1.85/1.71 ((~![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))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8797, 8796])).
% 1.85/1.71 tff(8799,plain,
% 1.85/1.71 (~m_main_v_state1(s31, c_t1)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8798, 35, 2939])).
% 1.85/1.71 tff(8800,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8801,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s31, c_t1) | (~node20(s31)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8802,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s31, c_t1) | (~node20(s31))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 1.85/1.71 tff(8803,plain,
% 1.85/1.71 (~node20(s31)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8802, 8214, 8799])).
% 1.85/1.71 tff(8804,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8805,plain,
% 1.85/1.71 (((~m_main_v_state1(s30, c_c1)) | (~always19(s30))) <=> ((~always19(s30)) | (~m_main_v_state1(s30, c_c1)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8806,plain,
% 1.85/1.71 (((~![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))))),
% 1.85/1.71 inference(monotonicity,[status(thm)],[8805])).
% 1.85/1.71 tff(8807,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(transitivity,[status(thm)],[8806, 8804])).
% 1.85/1.71 tff(8808,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s30, c_c1)) | (~always19(s30)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8809,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s30)) | (~m_main_v_state1(s30, c_c1))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8808, 8807])).
% 1.85/1.71 tff(8810,plain,
% 1.85/1.71 (~always19(s30)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8809, 8225, 2857])).
% 1.85/1.71 tff(8811,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8812,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s29, s30)) | (~always19(s29)) | always19(s30))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8813,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s29, s30)) | (~always19(s29)) | always19(s30)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 1.85/1.71 tff(8814,plain,
% 1.85/1.71 ((~always19(s29)) | always19(s30)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8813, 8242, 2773])).
% 1.85/1.71 tff(8815,plain,
% 1.85/1.71 (~always19(s29)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8814, 8810])).
% 1.85/1.71 tff(8816,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s29) | (~node20(s29)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s29) | (~node20(s29)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8817,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s29) | (~node20(s29)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8818,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s29) | (~node20(s29))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 1.85/1.71 tff(8819,plain,
% 1.85/1.71 (~node20(s29)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8818, 8254, 8815])).
% 1.85/1.71 tff(8820,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8821,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s28, s29)) | (~always19(s28)) | always19(s29))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8822,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s28, s29)) | (~always19(s28)) | always19(s29)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 1.85/1.71 tff(8823,plain,
% 1.85/1.71 ((~always19(s28)) | always19(s29)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8822, 8242, 2706])).
% 1.85/1.71 tff(8824,plain,
% 1.85/1.71 (~always19(s28)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8823, 8815])).
% 1.85/1.71 tff(8825,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s28) | (~node20(s28)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s28) | (~node20(s28)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8826,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s28) | (~node20(s28)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8827,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s28) | (~node20(s28))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8826, 8825])).
% 1.85/1.71 tff(8828,plain,
% 1.85/1.71 (~node20(s28)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8827, 8254, 8824])).
% 1.85/1.71 tff(8829,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8830,plain,
% 1.85/1.71 ((~![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)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8831,plain,
% 1.85/1.71 ((~![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))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8830, 8829])).
% 1.85/1.71 tff(8832,plain,
% 1.85/1.71 (~m_main_v_state1(s27, c_t1)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8831, 35, 2554])).
% 1.85/1.71 tff(8833,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8834,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s27, c_t1) | (~node20(s27)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8835,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s27, c_t1) | (~node20(s27))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8834, 8833])).
% 1.85/1.71 tff(8836,plain,
% 1.85/1.71 (~node20(s27)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8835, 8214, 8832])).
% 1.85/1.71 tff(8837,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8838,plain,
% 1.85/1.71 (((~m_main_v_state1(s26, c_c1)) | (~always19(s26))) <=> ((~always19(s26)) | (~m_main_v_state1(s26, c_c1)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8839,plain,
% 1.85/1.71 (((~![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))))),
% 1.85/1.71 inference(monotonicity,[status(thm)],[8838])).
% 1.85/1.71 tff(8840,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(transitivity,[status(thm)],[8839, 8837])).
% 1.85/1.71 tff(8841,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s26, c_c1)) | (~always19(s26)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8842,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s26)) | (~m_main_v_state1(s26, c_c1))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 1.85/1.71 tff(8843,plain,
% 1.85/1.71 (~always19(s26)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8842, 8225, 2490])).
% 1.85/1.71 tff(8844,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8845,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s25, s26)) | (~always19(s25)) | always19(s26))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8846,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s25, s26)) | (~always19(s25)) | always19(s26)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 1.85/1.71 tff(8847,plain,
% 1.85/1.71 ((~always19(s25)) | always19(s26)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8846, 8242, 2478])).
% 1.85/1.71 tff(8848,plain,
% 1.85/1.71 (~always19(s25)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8847, 8843])).
% 1.85/1.71 tff(8849,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s25) | (~node20(s25)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s25) | (~node20(s25)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8850,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s25) | (~node20(s25)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8851,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s25) | (~node20(s25))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8850, 8849])).
% 1.85/1.71 tff(8852,plain,
% 1.85/1.71 (~node20(s25)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8851, 8254, 8848])).
% 1.85/1.71 tff(8853,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8854,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s24, s25)) | (~always19(s24)) | always19(s25))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8855,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s24, s25)) | (~always19(s24)) | always19(s25)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8854, 8853])).
% 1.85/1.71 tff(8856,plain,
% 1.85/1.71 ((~always19(s24)) | always19(s25)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8855, 8242, 2383])).
% 1.85/1.71 tff(8857,plain,
% 1.85/1.71 (~always19(s24)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8856, 8848])).
% 1.85/1.71 tff(8858,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s24) | (~node20(s24)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s24) | (~node20(s24)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8859,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s24) | (~node20(s24)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8860,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s24) | (~node20(s24))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8859, 8858])).
% 1.85/1.71 tff(8861,plain,
% 1.85/1.71 (~node20(s24)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8860, 8254, 8857])).
% 1.85/1.71 tff(8862,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8863,plain,
% 1.85/1.71 ((~![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)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8864,plain,
% 1.85/1.71 ((~![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))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8863, 8862])).
% 1.85/1.71 tff(8865,plain,
% 1.85/1.71 (~m_main_v_state1(s23, c_t1)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8864, 35, 2311])).
% 1.85/1.71 tff(8866,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8867,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s23, c_t1) | (~node20(s23)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8868,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s23, c_t1) | (~node20(s23))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 1.85/1.71 tff(8869,plain,
% 1.85/1.71 (~node20(s23)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8868, 8214, 8865])).
% 1.85/1.71 tff(8870,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8871,plain,
% 1.85/1.71 (((~m_main_v_state1(s22, c_c1)) | (~always19(s22))) <=> ((~always19(s22)) | (~m_main_v_state1(s22, c_c1)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8872,plain,
% 1.85/1.71 (((~![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))))),
% 1.85/1.71 inference(monotonicity,[status(thm)],[8871])).
% 1.85/1.71 tff(8873,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(transitivity,[status(thm)],[8872, 8870])).
% 1.85/1.71 tff(8874,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s22, c_c1)) | (~always19(s22)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8875,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s22)) | (~m_main_v_state1(s22, c_c1))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 1.85/1.71 tff(8876,plain,
% 1.85/1.71 (~always19(s22)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8875, 8225, 2229])).
% 1.85/1.71 tff(8877,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8878,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s21, s22)) | (~always19(s21)) | always19(s22))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8879,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s21, s22)) | (~always19(s21)) | always19(s22)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8878, 8877])).
% 1.85/1.71 tff(8880,plain,
% 1.85/1.71 ((~always19(s21)) | always19(s22)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8879, 8242, 2145])).
% 1.85/1.71 tff(8881,plain,
% 1.85/1.71 (~always19(s21)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8880, 8876])).
% 1.85/1.71 tff(8882,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s21) | (~node20(s21)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s21) | (~node20(s21)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8883,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s21) | (~node20(s21)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8884,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s21) | (~node20(s21))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8883, 8882])).
% 1.85/1.71 tff(8885,plain,
% 1.85/1.71 (~node20(s21)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8884, 8254, 8881])).
% 1.85/1.71 tff(8886,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8887,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s20, s21)) | (~always19(s20)) | always19(s21))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8888,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s20, s21)) | (~always19(s20)) | always19(s21)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 1.85/1.71 tff(8889,plain,
% 1.85/1.71 ((~always19(s20)) | always19(s21)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8888, 8242, 2078])).
% 1.85/1.71 tff(8890,plain,
% 1.85/1.71 (~always19(s20)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8889, 8881])).
% 1.85/1.71 tff(8891,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s20) | (~node20(s20)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s20) | (~node20(s20)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8892,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s20) | (~node20(s20)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8893,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s20) | (~node20(s20))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 1.85/1.71 tff(8894,plain,
% 1.85/1.71 (~node20(s20)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8893, 8254, 8890])).
% 1.85/1.71 tff(8895,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8896,plain,
% 1.85/1.71 ((~![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)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8897,plain,
% 1.85/1.71 ((~![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))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 1.85/1.71 tff(8898,plain,
% 1.85/1.71 (~m_main_v_state1(s19, c_t1)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8897, 35, 1926])).
% 1.85/1.71 tff(8899,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8900,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s19, c_t1) | (~node20(s19)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8901,plain,
% 1.85/1.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s19, c_t1) | (~node20(s19))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 1.85/1.71 tff(8902,plain,
% 1.85/1.71 (~node20(s19)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8901, 8214, 8898])).
% 1.85/1.71 tff(8903,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8904,plain,
% 1.85/1.71 (((~m_main_v_state1(s18, c_c1)) | (~always19(s18))) <=> ((~always19(s18)) | (~m_main_v_state1(s18, c_c1)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8905,plain,
% 1.85/1.71 (((~![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))))),
% 1.85/1.71 inference(monotonicity,[status(thm)],[8904])).
% 1.85/1.71 tff(8906,plain,
% 1.85/1.71 (((~![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)))),
% 1.85/1.71 inference(transitivity,[status(thm)],[8905, 8903])).
% 1.85/1.71 tff(8907,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s18, c_c1)) | (~always19(s18)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8908,plain,
% 1.85/1.71 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s18)) | (~m_main_v_state1(s18, c_c1))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8907, 8906])).
% 1.85/1.71 tff(8909,plain,
% 1.85/1.71 (~always19(s18)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8908, 8225, 1862])).
% 1.85/1.71 tff(8910,plain,
% 1.85/1.71 (((~![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))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8911,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s17, s18)) | (~always19(s17)) | always19(s18))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8912,plain,
% 1.85/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s17, s18)) | (~always19(s17)) | always19(s18)),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 1.85/1.71 tff(8913,plain,
% 1.85/1.71 ((~always19(s17)) | always19(s18)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8912, 8242, 1850])).
% 1.85/1.71 tff(8914,plain,
% 1.85/1.71 (~always19(s17)),
% 1.85/1.71 inference(unit_resolution,[status(thm)],[8913, 8909])).
% 1.85/1.71 tff(8915,plain,
% 1.85/1.71 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s17) | (~node20(s17)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s17) | (~node20(s17)))),
% 1.85/1.71 inference(rewrite,[status(thm)],[])).
% 1.85/1.71 tff(8916,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s17) | (~node20(s17)))),
% 1.85/1.71 inference(quant_inst,[status(thm)],[])).
% 1.85/1.71 tff(8917,plain,
% 1.85/1.71 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s17) | (~node20(s17))),
% 1.85/1.71 inference(modus_ponens,[status(thm)],[8916, 8915])).
% 1.85/1.71 tff(8918,plain,
% 1.85/1.72 (~node20(s17)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8917, 8254, 8914])).
% 1.85/1.72 tff(8919,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8920,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s16, s17)) | (~always19(s16)) | always19(s17))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8921,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s16, s17)) | (~always19(s16)) | always19(s17)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 1.85/1.72 tff(8922,plain,
% 1.85/1.72 ((~always19(s16)) | always19(s17)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8921, 8242, 1755])).
% 1.85/1.72 tff(8923,plain,
% 1.85/1.72 (~always19(s16)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8922, 8914])).
% 1.85/1.72 tff(8924,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s16) | (~node20(s16)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s16) | (~node20(s16)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8925,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s16) | (~node20(s16)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8926,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s16) | (~node20(s16))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 1.85/1.72 tff(8927,plain,
% 1.85/1.72 (~node20(s16)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8926, 8254, 8923])).
% 1.85/1.72 tff(8928,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8929,plain,
% 1.85/1.72 ((~![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)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8930,plain,
% 1.85/1.72 ((~![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))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 1.85/1.72 tff(8931,plain,
% 1.85/1.72 (~m_main_v_state1(s15, c_t1)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8930, 35, 1683])).
% 1.85/1.72 tff(8932,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8933,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s15, c_t1) | (~node20(s15)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8934,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s15, c_t1) | (~node20(s15))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8933, 8932])).
% 1.85/1.72 tff(8935,plain,
% 1.85/1.72 (~node20(s15)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8934, 8214, 8931])).
% 1.85/1.72 tff(8936,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8937,plain,
% 1.85/1.72 (((~m_main_v_state1(s14, c_c1)) | (~always19(s14))) <=> ((~always19(s14)) | (~m_main_v_state1(s14, c_c1)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8938,plain,
% 1.85/1.72 (((~![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))))),
% 1.85/1.72 inference(monotonicity,[status(thm)],[8937])).
% 1.85/1.72 tff(8939,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(transitivity,[status(thm)],[8938, 8936])).
% 1.85/1.72 tff(8940,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s14, c_c1)) | (~always19(s14)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8941,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s14)) | (~m_main_v_state1(s14, c_c1))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8940, 8939])).
% 1.85/1.72 tff(8942,plain,
% 1.85/1.72 (~always19(s14)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8941, 8225, 1601])).
% 1.85/1.72 tff(8943,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8944,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s13, s14)) | (~always19(s13)) | always19(s14))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8945,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s13, s14)) | (~always19(s13)) | always19(s14)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 1.85/1.72 tff(8946,plain,
% 1.85/1.72 ((~always19(s13)) | always19(s14)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8945, 8242, 1517])).
% 1.85/1.72 tff(8947,plain,
% 1.85/1.72 (~always19(s13)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8946, 8942])).
% 1.85/1.72 tff(8948,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s13) | (~node20(s13)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s13) | (~node20(s13)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8949,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s13) | (~node20(s13)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8950,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s13) | (~node20(s13))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 1.85/1.72 tff(8951,plain,
% 1.85/1.72 (~node20(s13)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8950, 8254, 8947])).
% 1.85/1.72 tff(8952,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8953,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s12, s13)) | (~always19(s12)) | always19(s13))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8954,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s12, s13)) | (~always19(s12)) | always19(s13)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8953, 8952])).
% 1.85/1.72 tff(8955,plain,
% 1.85/1.72 ((~always19(s12)) | always19(s13)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8954, 8242, 1450])).
% 1.85/1.72 tff(8956,plain,
% 1.85/1.72 (~always19(s12)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8955, 8947])).
% 1.85/1.72 tff(8957,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s12) | (~node20(s12)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s12) | (~node20(s12)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8958,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s12) | (~node20(s12)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8959,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s12) | (~node20(s12))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8958, 8957])).
% 1.85/1.72 tff(8960,plain,
% 1.85/1.72 (~node20(s12)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8959, 8254, 8956])).
% 1.85/1.72 tff(8961,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8962,plain,
% 1.85/1.72 ((~![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)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8963,plain,
% 1.85/1.72 ((~![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))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8962, 8961])).
% 1.85/1.72 tff(8964,plain,
% 1.85/1.72 (~m_main_v_state1(s11, c_t1)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8963, 35, 1298])).
% 1.85/1.72 tff(8965,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8966,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s11, c_t1) | (~node20(s11)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8967,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s11, c_t1) | (~node20(s11))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8966, 8965])).
% 1.85/1.72 tff(8968,plain,
% 1.85/1.72 (~node20(s11)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8967, 8214, 8964])).
% 1.85/1.72 tff(8969,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8970,plain,
% 1.85/1.72 (((~m_main_v_state1(s10, c_c1)) | (~always19(s10))) <=> ((~always19(s10)) | (~m_main_v_state1(s10, c_c1)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8971,plain,
% 1.85/1.72 (((~![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))))),
% 1.85/1.72 inference(monotonicity,[status(thm)],[8970])).
% 1.85/1.72 tff(8972,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(transitivity,[status(thm)],[8971, 8969])).
% 1.85/1.72 tff(8973,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s10, c_c1)) | (~always19(s10)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8974,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s10)) | (~m_main_v_state1(s10, c_c1))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 1.85/1.72 tff(8975,plain,
% 1.85/1.72 (~always19(s10)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8974, 8225, 1234])).
% 1.85/1.72 tff(8976,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8977,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s9, s10)) | (~always19(s9)) | always19(s10))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8978,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s9, s10)) | (~always19(s9)) | always19(s10)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 1.85/1.72 tff(8979,plain,
% 1.85/1.72 ((~always19(s9)) | always19(s10)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8978, 8242, 1222])).
% 1.85/1.72 tff(8980,plain,
% 1.85/1.72 (~always19(s9)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8979, 8975])).
% 1.85/1.72 tff(8981,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s9) | (~node20(s9)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s9) | (~node20(s9)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8982,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s9) | (~node20(s9)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8983,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s9) | (~node20(s9))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8982, 8981])).
% 1.85/1.72 tff(8984,plain,
% 1.85/1.72 (~node20(s9)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8983, 8254, 8980])).
% 1.85/1.72 tff(8985,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8986,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s8, s9)) | (~always19(s8)) | always19(s9))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8987,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s8, s9)) | (~always19(s8)) | always19(s9)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 1.85/1.72 tff(8988,plain,
% 1.85/1.72 ((~always19(s8)) | always19(s9)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8987, 8242, 1127])).
% 1.85/1.72 tff(8989,plain,
% 1.85/1.72 (~always19(s8)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8988, 8980])).
% 1.85/1.72 tff(8990,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s8) | (~node20(s8)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s8) | (~node20(s8)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8991,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s8) | (~node20(s8)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8992,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s8) | (~node20(s8))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8991, 8990])).
% 1.85/1.72 tff(8993,plain,
% 1.85/1.72 (~node20(s8)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8992, 8254, 8989])).
% 1.85/1.72 tff(8994,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8995,plain,
% 1.85/1.72 ((~![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)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(8996,plain,
% 1.85/1.72 ((~![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))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 1.85/1.72 tff(8997,plain,
% 1.85/1.72 (~m_main_v_state1(s7, c_t1)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[8996, 35, 1055])).
% 1.85/1.72 tff(8998,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(8999,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s7, c_t1) | (~node20(s7)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9000,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s7, c_t1) | (~node20(s7))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[8999, 8998])).
% 1.85/1.72 tff(9001,plain,
% 1.85/1.72 (~node20(s7)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9000, 8214, 8997])).
% 1.85/1.72 tff(9002,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9003,plain,
% 1.85/1.72 (((~m_main_v_state1(s6, c_c1)) | (~always19(s6))) <=> ((~always19(s6)) | (~m_main_v_state1(s6, c_c1)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9004,plain,
% 1.85/1.72 (((~![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))))),
% 1.85/1.72 inference(monotonicity,[status(thm)],[9003])).
% 1.85/1.72 tff(9005,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(transitivity,[status(thm)],[9004, 9002])).
% 1.85/1.72 tff(9006,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s6, c_c1)) | (~always19(s6)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9007,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s6)) | (~m_main_v_state1(s6, c_c1))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 1.85/1.72 tff(9008,plain,
% 1.85/1.72 (~always19(s6)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9007, 8225, 973])).
% 1.85/1.72 tff(9009,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9010,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s5, s6)) | (~always19(s5)) | always19(s6))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9011,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s5, s6)) | (~always19(s5)) | always19(s6)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9010, 9009])).
% 1.85/1.72 tff(9012,plain,
% 1.85/1.72 ((~always19(s5)) | always19(s6)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9011, 8242, 849])).
% 1.85/1.72 tff(9013,plain,
% 1.85/1.72 (~always19(s5)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9012, 9008])).
% 1.85/1.72 tff(9014,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s5) | (~node20(s5)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s5) | (~node20(s5)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9015,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s5) | (~node20(s5)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9016,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s5) | (~node20(s5))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9015, 9014])).
% 1.85/1.72 tff(9017,plain,
% 1.85/1.72 (~node20(s5)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9016, 8254, 9013])).
% 1.85/1.72 tff(9018,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9019,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s4, s5)) | (~always19(s4)) | always19(s5))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9020,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s4, s5)) | (~always19(s4)) | always19(s5)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9019, 9018])).
% 1.85/1.72 tff(9021,plain,
% 1.85/1.72 ((~always19(s4)) | always19(s5)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9020, 8242, 731])).
% 1.85/1.72 tff(9022,plain,
% 1.85/1.72 (~always19(s4)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9021, 9013])).
% 1.85/1.72 tff(9023,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s4) | (~node20(s4)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s4) | (~node20(s4)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9024,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s4) | (~node20(s4)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9025,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s4) | (~node20(s4))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 1.85/1.72 tff(9026,plain,
% 1.85/1.72 (~node20(s4)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9025, 8254, 9022])).
% 1.85/1.72 tff(9027,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9028,plain,
% 1.85/1.72 ((~![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)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9029,plain,
% 1.85/1.72 ((~![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))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 1.85/1.72 tff(9030,plain,
% 1.85/1.72 (~m_main_v_state1(s3, c_t1)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9029, 35, 486])).
% 1.85/1.72 tff(9031,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9032,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s3, c_t1) | (~node20(s3)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9033,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s3, c_t1) | (~node20(s3))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 1.85/1.72 tff(9034,plain,
% 1.85/1.72 (~node20(s3)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9033, 8214, 9030])).
% 1.85/1.72 tff(9035,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9036,plain,
% 1.85/1.72 (((~m_main_v_state1(s2, c_c1)) | (~always19(s2))) <=> ((~always19(s2)) | (~m_main_v_state1(s2, c_c1)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9037,plain,
% 1.85/1.72 (((~![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))))),
% 1.85/1.72 inference(monotonicity,[status(thm)],[9036])).
% 1.85/1.72 tff(9038,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(transitivity,[status(thm)],[9037, 9035])).
% 1.85/1.72 tff(9039,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | ((~m_main_v_state1(s2, c_c1)) | (~always19(s2)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9040,plain,
% 1.85/1.72 ((~![X: $i] : ((~m_main_v_state1(X, c_c1)) | (~always19(X)))) | (~always19(s2)) | (~m_main_v_state1(s2, c_c1))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9039, 9038])).
% 1.85/1.72 tff(9041,plain,
% 1.85/1.72 (~always19(s2)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9040, 8225, 282])).
% 1.85/1.72 tff(9042,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s2) | (~node20(s2)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s2) | (~node20(s2)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9043,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s2) | (~node20(s2)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9044,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s2) | (~node20(s2))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9043, 9042])).
% 1.85/1.72 tff(9045,plain,
% 1.85/1.72 (~node20(s2)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9044, 8254, 9041])).
% 1.85/1.72 tff(9046,plain,
% 1.85/1.72 (((~![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))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9047,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | ((~trans(s1, s2)) | (~always19(s1)) | always19(s2))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9048,plain,
% 1.85/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always19(X)) | always19(Y))) | (~trans(s1, s2)) | (~always19(s1)) | always19(s2)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 1.85/1.72 tff(9049,plain,
% 1.85/1.72 ((~always19(s1)) | always19(s2)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9048, 8242, 260])).
% 1.85/1.72 tff(9050,plain,
% 1.85/1.72 (~always19(s1)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9049, 9041])).
% 1.85/1.72 tff(9051,plain,
% 1.85/1.72 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s1) | (~node20(s1)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s1) | (~node20(s1)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9052,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s1) | (~node20(s1)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9053,plain,
% 1.85/1.72 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s1) | (~node20(s1))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9052, 9051])).
% 1.85/1.72 tff(9054,plain,
% 1.85/1.72 (~node20(s1)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9053, 8254, 9050])).
% 1.85/1.72 tff(9055,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9056,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | (m_main_v_state1(s0, c_t1) | (~node20(s0)))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9057,plain,
% 1.85/1.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node20(X)))) | m_main_v_state1(s0, c_t1) | (~node20(s0))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 1.85/1.72 tff(9058,plain,
% 1.85/1.72 (~node20(s0)),
% 1.85/1.72 inference(unit_resolution,[status(thm)],[9057, 8214, 39])).
% 1.85/1.72 tff(9059,plain,
% 1.85/1.72 (until21(s0) <=> until21(s0)),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9060,axiom,(until21(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty13')).
% 1.85/1.72 tff(9061,plain,
% 1.85/1.72 (until21(s0)),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 1.85/1.72 tff(9062,plain,
% 1.85/1.72 (^[X: $i] : refl((node20(X) | (~until21(X)) | xuntil22(X)) <=> (node20(X) | (~until21(X)) | xuntil22(X)))),
% 1.85/1.72 inference(bind,[status(th)],[])).
% 1.85/1.72 tff(9063,plain,
% 1.85/1.72 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X)) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.85/1.72 inference(quant_intro,[status(thm)],[9062])).
% 1.85/1.72 tff(9064,plain,
% 1.85/1.72 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X)) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9065,plain,
% 1.85/1.72 (^[X: $i] : rewrite(((node20(X) | xuntil22(X)) | (~until21(X))) <=> (node20(X) | (~until21(X)) | xuntil22(X)))),
% 1.85/1.72 inference(bind,[status(th)],[])).
% 1.85/1.72 tff(9066,plain,
% 1.85/1.72 (![X: $i] : ((node20(X) | xuntil22(X)) | (~until21(X))) <=> ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.85/1.72 inference(quant_intro,[status(thm)],[9065])).
% 1.85/1.72 tff(9067,axiom,(![X: $i] : ((node20(X) | xuntil22(X)) | (~until21(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
% 1.85/1.72 tff(9068,plain,
% 1.85/1.72 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9067, 9066])).
% 1.85/1.72 tff(9069,plain,
% 1.85/1.72 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9068, 9064])).
% 1.85/1.72 tff(9070,plain,(
% 1.85/1.72 ![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.85/1.72 inference(skolemize,[status(sab)],[9069])).
% 1.85/1.72 tff(9071,plain,
% 1.85/1.72 (![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))),
% 1.85/1.72 inference(modus_ponens,[status(thm)],[9070, 9063])).
% 1.85/1.72 tff(9072,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9073,plain,
% 1.85/1.72 ((node20(s0) | (~until21(s0)) | xuntil22(s0)) <=> (xuntil22(s0) | node20(s0) | (~until21(s0)))),
% 1.85/1.72 inference(rewrite,[status(thm)],[])).
% 1.85/1.72 tff(9074,plain,
% 1.85/1.72 (((~![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))))),
% 1.85/1.72 inference(monotonicity,[status(thm)],[9073])).
% 1.85/1.72 tff(9075,plain,
% 1.85/1.72 (((~![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)))),
% 1.85/1.72 inference(transitivity,[status(thm)],[9074, 9072])).
% 1.85/1.72 tff(9076,plain,
% 1.85/1.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s0) | (~until21(s0)) | xuntil22(s0))),
% 1.85/1.72 inference(quant_inst,[status(thm)],[])).
% 1.85/1.72 tff(9077,plain,
% 1.85/1.72 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s0) | node20(s0) | (~until21(s0))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9076, 9075])).
% 1.85/1.73 tff(9078,plain,
% 1.85/1.73 (xuntil22(s0) | node20(s0)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9077, 9071, 9061])).
% 1.85/1.73 tff(9079,plain,
% 1.85/1.73 (xuntil22(s0)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9078, 9058])).
% 1.85/1.73 tff(9080,plain,
% 1.85/1.73 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)))),
% 1.85/1.73 inference(bind,[status(th)],[])).
% 1.85/1.73 tff(9081,plain,
% 1.85/1.73 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.85/1.73 inference(quant_intro,[status(thm)],[9080])).
% 1.85/1.73 tff(9082,plain,
% 1.85/1.73 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9083,plain,
% 1.85/1.73 (^[Y: $i, X: $i] : rewrite(((until21(Y) | (~succ(X, Y))) | (~xuntil22(X))) <=> ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y)))),
% 1.85/1.73 inference(bind,[status(th)],[])).
% 1.85/1.73 tff(9084,plain,
% 1.85/1.73 (![Y: $i, X: $i] : ((until21(Y) | (~succ(X, Y))) | (~xuntil22(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.85/1.73 inference(quant_intro,[status(thm)],[9083])).
% 1.85/1.73 tff(9085,axiom,(![Y: $i, X: $i] : ((until21(Y) | (~succ(X, Y))) | (~xuntil22(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty7')).
% 1.85/1.73 tff(9086,plain,
% 1.85/1.73 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9085, 9084])).
% 1.85/1.73 tff(9087,plain,
% 1.85/1.73 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9086, 9082])).
% 1.85/1.73 tff(9088,plain,(
% 1.85/1.73 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.85/1.73 inference(skolemize,[status(sab)],[9087])).
% 1.85/1.73 tff(9089,plain,
% 1.85/1.73 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9088, 9081])).
% 1.85/1.73 tff(9090,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9091,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9092,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s0, s1)) | (~xuntil22(s0)) | until21(s1)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 1.85/1.73 tff(9093,plain,
% 1.85/1.73 ((~xuntil22(s0)) | until21(s1)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9092, 60, 9089])).
% 1.85/1.73 tff(9094,plain,
% 1.85/1.73 (until21(s1)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9093, 9079])).
% 1.85/1.73 tff(9095,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9096,plain,
% 1.85/1.73 ((node20(s1) | (~until21(s1)) | xuntil22(s1)) <=> (xuntil22(s1) | node20(s1) | (~until21(s1)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9097,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9096])).
% 1.85/1.73 tff(9098,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9097, 9095])).
% 1.85/1.73 tff(9099,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s1) | (~until21(s1)) | xuntil22(s1))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9100,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s1) | node20(s1) | (~until21(s1))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9099, 9098])).
% 1.85/1.73 tff(9101,plain,
% 1.85/1.73 (xuntil22(s1) | node20(s1)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9100, 9071, 9094])).
% 1.85/1.73 tff(9102,plain,
% 1.85/1.73 (xuntil22(s1)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9101, 9054])).
% 1.85/1.73 tff(9103,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9104,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9105,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s1, s2)) | (~xuntil22(s1)) | until21(s2)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 1.85/1.73 tff(9106,plain,
% 1.85/1.73 ((~xuntil22(s1)) | until21(s2)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9105, 256, 9089])).
% 1.85/1.73 tff(9107,plain,
% 1.85/1.73 (until21(s2)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9106, 9102])).
% 1.85/1.73 tff(9108,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9109,plain,
% 1.85/1.73 ((node20(s2) | (~until21(s2)) | xuntil22(s2)) <=> (xuntil22(s2) | node20(s2) | (~until21(s2)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9110,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9109])).
% 1.85/1.73 tff(9111,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9110, 9108])).
% 1.85/1.73 tff(9112,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s2) | (~until21(s2)) | xuntil22(s2))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9113,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s2) | node20(s2) | (~until21(s2))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9112, 9111])).
% 1.85/1.73 tff(9114,plain,
% 1.85/1.73 (xuntil22(s2)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9113, 9071, 9107, 9045])).
% 1.85/1.73 tff(9115,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9116,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9117,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s2, s3)) | (~xuntil22(s2)) | until21(s3)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 1.85/1.73 tff(9118,plain,
% 1.85/1.73 ((~xuntil22(s2)) | until21(s3)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9117, 460, 9089])).
% 1.85/1.73 tff(9119,plain,
% 1.85/1.73 (until21(s3)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9118, 9114])).
% 1.85/1.73 tff(9120,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9121,plain,
% 1.85/1.73 ((node20(s3) | (~until21(s3)) | xuntil22(s3)) <=> (xuntil22(s3) | node20(s3) | (~until21(s3)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9122,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9121])).
% 1.85/1.73 tff(9123,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9122, 9120])).
% 1.85/1.73 tff(9124,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s3) | (~until21(s3)) | xuntil22(s3))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9125,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s3) | node20(s3) | (~until21(s3))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 1.85/1.73 tff(9126,plain,
% 1.85/1.73 (xuntil22(s3)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9125, 9071, 9119, 9034])).
% 1.85/1.73 tff(9127,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9128,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9129,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s3, s4)) | (~xuntil22(s3)) | until21(s4)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 1.85/1.73 tff(9130,plain,
% 1.85/1.73 ((~xuntil22(s3)) | until21(s4)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9129, 580, 9089])).
% 1.85/1.73 tff(9131,plain,
% 1.85/1.73 (until21(s4)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9130, 9126])).
% 1.85/1.73 tff(9132,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9133,plain,
% 1.85/1.73 ((node20(s4) | (~until21(s4)) | xuntil22(s4)) <=> (xuntil22(s4) | node20(s4) | (~until21(s4)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9134,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9133])).
% 1.85/1.73 tff(9135,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9134, 9132])).
% 1.85/1.73 tff(9136,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s4) | (~until21(s4)) | xuntil22(s4))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9137,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s4) | node20(s4) | (~until21(s4))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9136, 9135])).
% 1.85/1.73 tff(9138,plain,
% 1.85/1.73 (xuntil22(s4) | node20(s4)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9137, 9071, 9131])).
% 1.85/1.73 tff(9139,plain,
% 1.85/1.73 (xuntil22(s4)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9138, 9026])).
% 1.85/1.73 tff(9140,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9141,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9142,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s4, s5)) | (~xuntil22(s4)) | until21(s5)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 1.85/1.73 tff(9143,plain,
% 1.85/1.73 ((~xuntil22(s4)) | until21(s5)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9142, 727, 9089])).
% 1.85/1.73 tff(9144,plain,
% 1.85/1.73 (until21(s5)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9143, 9139])).
% 1.85/1.73 tff(9145,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9146,plain,
% 1.85/1.73 ((node20(s5) | (~until21(s5)) | xuntil22(s5)) <=> (xuntil22(s5) | node20(s5) | (~until21(s5)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9147,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9146])).
% 1.85/1.73 tff(9148,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9147, 9145])).
% 1.85/1.73 tff(9149,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s5) | (~until21(s5)) | xuntil22(s5))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9150,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s5) | node20(s5) | (~until21(s5))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9149, 9148])).
% 1.85/1.73 tff(9151,plain,
% 1.85/1.73 (xuntil22(s5)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9150, 9071, 9144, 9017])).
% 1.85/1.73 tff(9152,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9153,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9154,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s5, s6)) | (~xuntil22(s5)) | until21(s6)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 1.85/1.73 tff(9155,plain,
% 1.85/1.73 ((~xuntil22(s5)) | until21(s6)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9154, 845, 9089])).
% 1.85/1.73 tff(9156,plain,
% 1.85/1.73 (until21(s6)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9155, 9151])).
% 1.85/1.73 tff(9157,plain,
% 1.85/1.73 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s6) | (~node20(s6)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s6) | (~node20(s6)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9158,plain,
% 1.85/1.73 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s6) | (~node20(s6)))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9159,plain,
% 1.85/1.73 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s6) | (~node20(s6))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9158, 9157])).
% 1.85/1.73 tff(9160,plain,
% 1.85/1.73 (~node20(s6)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9159, 8254, 9008])).
% 1.85/1.73 tff(9161,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9162,plain,
% 1.85/1.73 ((node20(s6) | (~until21(s6)) | xuntil22(s6)) <=> (xuntil22(s6) | node20(s6) | (~until21(s6)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9163,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9162])).
% 1.85/1.73 tff(9164,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9163, 9161])).
% 1.85/1.73 tff(9165,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s6) | (~until21(s6)) | xuntil22(s6))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9166,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s6) | node20(s6) | (~until21(s6))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9165, 9164])).
% 1.85/1.73 tff(9167,plain,
% 1.85/1.73 (xuntil22(s6) | (~until21(s6))),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9166, 9071, 9160])).
% 1.85/1.73 tff(9168,plain,
% 1.85/1.73 (xuntil22(s6)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9167, 9156])).
% 1.85/1.73 tff(9169,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9170,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9171,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s6, s7)) | (~xuntil22(s6)) | until21(s7)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 1.85/1.73 tff(9172,plain,
% 1.85/1.73 ((~xuntil22(s6)) | until21(s7)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9171, 984, 9089])).
% 1.85/1.73 tff(9173,plain,
% 1.85/1.73 (until21(s7)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9172, 9168])).
% 1.85/1.73 tff(9174,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9175,plain,
% 1.85/1.73 ((node20(s7) | (~until21(s7)) | xuntil22(s7)) <=> (xuntil22(s7) | node20(s7) | (~until21(s7)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9176,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9175])).
% 1.85/1.73 tff(9177,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9176, 9174])).
% 1.85/1.73 tff(9178,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s7) | (~until21(s7)) | xuntil22(s7))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9179,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s7) | node20(s7) | (~until21(s7))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 1.85/1.73 tff(9180,plain,
% 1.85/1.73 (xuntil22(s7)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9179, 9071, 9173, 9001])).
% 1.85/1.73 tff(9181,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9182,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9183,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s7, s8)) | (~xuntil22(s7)) | until21(s8)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 1.85/1.73 tff(9184,plain,
% 1.85/1.73 ((~xuntil22(s7)) | until21(s8)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9183, 1062, 9089])).
% 1.85/1.73 tff(9185,plain,
% 1.85/1.73 (until21(s8)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9184, 9180])).
% 1.85/1.73 tff(9186,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9187,plain,
% 1.85/1.73 ((node20(s8) | (~until21(s8)) | xuntil22(s8)) <=> (xuntil22(s8) | node20(s8) | (~until21(s8)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9188,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9187])).
% 1.85/1.73 tff(9189,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9188, 9186])).
% 1.85/1.73 tff(9190,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s8) | (~until21(s8)) | xuntil22(s8))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9191,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s8) | node20(s8) | (~until21(s8))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 1.85/1.73 tff(9192,plain,
% 1.85/1.73 (xuntil22(s8) | node20(s8)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9191, 9071, 9185])).
% 1.85/1.73 tff(9193,plain,
% 1.85/1.73 (xuntil22(s8)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9192, 8993])).
% 1.85/1.73 tff(9194,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9195,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9196,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s8, s9)) | (~xuntil22(s8)) | until21(s9)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9195, 9194])).
% 1.85/1.73 tff(9197,plain,
% 1.85/1.73 ((~xuntil22(s8)) | until21(s9)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9196, 1123, 9089])).
% 1.85/1.73 tff(9198,plain,
% 1.85/1.73 (until21(s9)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9197, 9193])).
% 1.85/1.73 tff(9199,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9200,plain,
% 1.85/1.73 ((node20(s9) | (~until21(s9)) | xuntil22(s9)) <=> (xuntil22(s9) | node20(s9) | (~until21(s9)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9201,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9200])).
% 1.85/1.73 tff(9202,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9201, 9199])).
% 1.85/1.73 tff(9203,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s9) | (~until21(s9)) | xuntil22(s9))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9204,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s9) | node20(s9) | (~until21(s9))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9203, 9202])).
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% 1.85/1.73 (xuntil22(s9)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9204, 9071, 9198, 8984])).
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% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9207,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9208,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s9, s10)) | (~xuntil22(s9)) | until21(s10)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9207, 9206])).
% 1.85/1.73 tff(9209,plain,
% 1.85/1.73 ((~xuntil22(s9)) | until21(s10)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9208, 1218, 9089])).
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% 1.85/1.73 (until21(s10)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9209, 9205])).
% 1.85/1.73 tff(9211,plain,
% 1.85/1.73 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s10) | (~node20(s10)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s10) | (~node20(s10)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
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% 1.85/1.73 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s10) | (~node20(s10)))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9213,plain,
% 1.85/1.73 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s10) | (~node20(s10))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 1.85/1.73 tff(9214,plain,
% 1.85/1.73 (~node20(s10)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9213, 8254, 8975])).
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% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9216,plain,
% 1.85/1.73 ((node20(s10) | (~until21(s10)) | xuntil22(s10)) <=> (xuntil22(s10) | node20(s10) | (~until21(s10)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9217,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9216])).
% 1.85/1.73 tff(9218,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9217, 9215])).
% 1.85/1.73 tff(9219,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s10) | (~until21(s10)) | xuntil22(s10))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9220,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s10) | node20(s10) | (~until21(s10))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9219, 9218])).
% 1.85/1.73 tff(9221,plain,
% 1.85/1.73 (xuntil22(s10) | (~until21(s10))),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9220, 9071, 9214])).
% 1.85/1.73 tff(9222,plain,
% 1.85/1.73 (xuntil22(s10)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9221, 9210])).
% 1.85/1.73 tff(9223,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9224,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9225,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s10, s11)) | (~xuntil22(s10)) | until21(s11)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 1.85/1.73 tff(9226,plain,
% 1.85/1.73 ((~xuntil22(s10)) | until21(s11)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9225, 1282, 9089])).
% 1.85/1.73 tff(9227,plain,
% 1.85/1.73 (until21(s11)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9226, 9222])).
% 1.85/1.73 tff(9228,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9229,plain,
% 1.85/1.73 ((node20(s11) | (~until21(s11)) | xuntil22(s11)) <=> (xuntil22(s11) | node20(s11) | (~until21(s11)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9230,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9229])).
% 1.85/1.73 tff(9231,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9230, 9228])).
% 1.85/1.73 tff(9232,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s11) | (~until21(s11)) | xuntil22(s11))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9233,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s11) | node20(s11) | (~until21(s11))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 1.85/1.73 tff(9234,plain,
% 1.85/1.73 (xuntil22(s11)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9233, 9071, 9227, 8968])).
% 1.85/1.73 tff(9235,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9236,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9237,plain,
% 1.85/1.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s11, s12)) | (~xuntil22(s11)) | until21(s12)),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9236, 9235])).
% 1.85/1.73 tff(9238,plain,
% 1.85/1.73 ((~xuntil22(s11)) | until21(s12)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9237, 1357, 9089])).
% 1.85/1.73 tff(9239,plain,
% 1.85/1.73 (until21(s12)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9238, 9234])).
% 1.85/1.73 tff(9240,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9241,plain,
% 1.85/1.73 ((node20(s12) | (~until21(s12)) | xuntil22(s12)) <=> (xuntil22(s12) | node20(s12) | (~until21(s12)))),
% 1.85/1.73 inference(rewrite,[status(thm)],[])).
% 1.85/1.73 tff(9242,plain,
% 1.85/1.73 (((~![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))))),
% 1.85/1.73 inference(monotonicity,[status(thm)],[9241])).
% 1.85/1.73 tff(9243,plain,
% 1.85/1.73 (((~![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)))),
% 1.85/1.73 inference(transitivity,[status(thm)],[9242, 9240])).
% 1.85/1.73 tff(9244,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s12) | (~until21(s12)) | xuntil22(s12))),
% 1.85/1.73 inference(quant_inst,[status(thm)],[])).
% 1.85/1.73 tff(9245,plain,
% 1.85/1.73 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s12) | node20(s12) | (~until21(s12))),
% 1.85/1.73 inference(modus_ponens,[status(thm)],[9244, 9243])).
% 1.85/1.73 tff(9246,plain,
% 1.85/1.73 (xuntil22(s12) | node20(s12)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9245, 9071, 9239])).
% 1.85/1.73 tff(9247,plain,
% 1.85/1.73 (xuntil22(s12)),
% 1.85/1.73 inference(unit_resolution,[status(thm)],[9246, 8960])).
% 1.85/1.73 tff(9248,plain,
% 1.85/1.73 (((~![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))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9249,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9250,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s12, s13)) | (~xuntil22(s12)) | until21(s13)),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 1.85/1.74 tff(9251,plain,
% 1.85/1.74 ((~xuntil22(s12)) | until21(s13)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9250, 1446, 9089])).
% 1.85/1.74 tff(9252,plain,
% 1.85/1.74 (until21(s13)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9251, 9247])).
% 1.85/1.74 tff(9253,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9254,plain,
% 1.85/1.74 ((node20(s13) | (~until21(s13)) | xuntil22(s13)) <=> (xuntil22(s13) | node20(s13) | (~until21(s13)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9255,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9254])).
% 1.85/1.74 tff(9256,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(transitivity,[status(thm)],[9255, 9253])).
% 1.85/1.74 tff(9257,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s13) | (~until21(s13)) | xuntil22(s13))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9258,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s13) | node20(s13) | (~until21(s13))),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9257, 9256])).
% 1.85/1.74 tff(9259,plain,
% 1.85/1.74 (xuntil22(s13)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9258, 9071, 9252, 8951])).
% 1.85/1.74 tff(9260,plain,
% 1.85/1.74 (((~![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))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9261,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9262,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s13, s14)) | (~xuntil22(s13)) | until21(s14)),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9261, 9260])).
% 1.85/1.74 tff(9263,plain,
% 1.85/1.74 ((~xuntil22(s13)) | until21(s14)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9262, 1513, 9089])).
% 1.85/1.74 tff(9264,plain,
% 1.85/1.74 (until21(s14)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9263, 9259])).
% 1.85/1.74 tff(9265,plain,
% 1.85/1.74 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s14) | (~node20(s14)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s14) | (~node20(s14)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9266,plain,
% 1.85/1.74 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s14) | (~node20(s14)))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9267,plain,
% 1.85/1.74 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s14) | (~node20(s14))),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 1.85/1.74 tff(9268,plain,
% 1.85/1.74 (~node20(s14)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9267, 8254, 8942])).
% 1.85/1.74 tff(9269,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9270,plain,
% 1.85/1.74 ((node20(s14) | (~until21(s14)) | xuntil22(s14)) <=> (xuntil22(s14) | node20(s14) | (~until21(s14)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9271,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9270])).
% 1.85/1.74 tff(9272,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(transitivity,[status(thm)],[9271, 9269])).
% 1.85/1.74 tff(9273,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s14) | (~until21(s14)) | xuntil22(s14))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9274,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s14) | node20(s14) | (~until21(s14))),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9273, 9272])).
% 1.85/1.74 tff(9275,plain,
% 1.85/1.74 (xuntil22(s14) | (~until21(s14))),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9274, 9071, 9268])).
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% 1.85/1.74 (xuntil22(s14)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9275, 9264])).
% 1.85/1.74 tff(9277,plain,
% 1.85/1.74 (((~![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))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9278,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9279,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s14, s15)) | (~xuntil22(s14)) | until21(s15)),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 1.85/1.74 tff(9280,plain,
% 1.85/1.74 ((~xuntil22(s14)) | until21(s15)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9279, 1612, 9089])).
% 1.85/1.74 tff(9281,plain,
% 1.85/1.74 (until21(s15)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9280, 9276])).
% 1.85/1.74 tff(9282,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9283,plain,
% 1.85/1.74 ((node20(s15) | (~until21(s15)) | xuntil22(s15)) <=> (xuntil22(s15) | node20(s15) | (~until21(s15)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9284,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9283])).
% 1.85/1.74 tff(9285,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(transitivity,[status(thm)],[9284, 9282])).
% 1.85/1.74 tff(9286,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s15) | (~until21(s15)) | xuntil22(s15))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9287,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s15) | node20(s15) | (~until21(s15))),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 1.85/1.74 tff(9288,plain,
% 1.85/1.74 (xuntil22(s15)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9287, 9071, 9281, 8935])).
% 1.85/1.74 tff(9289,plain,
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9290,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s15, s16)) | (~xuntil22(s15)) | until21(s16)),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9290, 9289])).
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% 1.85/1.74 ((~xuntil22(s15)) | until21(s16)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9291, 1690, 9089])).
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% 1.85/1.74 (until21(s16)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9292, 9288])).
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% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 ((node20(s16) | (~until21(s16)) | xuntil22(s16)) <=> (xuntil22(s16) | node20(s16) | (~until21(s16)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9296,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9295])).
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% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(transitivity,[status(thm)],[9296, 9294])).
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% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9298, 9297])).
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% 1.85/1.74 (xuntil22(s16) | node20(s16)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9299, 9071, 9293])).
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% 1.85/1.74 (xuntil22(s16)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9300, 8927])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s16, s17)) | (~xuntil22(s16)) | until21(s17))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9303, 9302])).
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% 1.85/1.74 ((~xuntil22(s16)) | until21(s17)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9304, 1751, 9089])).
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% 1.85/1.74 (until21(s17)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9305, 9301])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 ((node20(s17) | (~until21(s17)) | xuntil22(s17)) <=> (xuntil22(s17) | node20(s17) | (~until21(s17)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9308])).
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% 1.85/1.74 inference(transitivity,[status(thm)],[9309, 9307])).
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% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9311, 9310])).
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% 1.85/1.74 (xuntil22(s17)),
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9315, 9314])).
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% 1.85/1.74 inference(unit_resolution,[status(thm)],[9316, 1846, 9089])).
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% 1.85/1.74 (until21(s18)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9317, 9313])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(monotonicity,[status(thm)],[9324])).
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% 1.85/1.74 inference(transitivity,[status(thm)],[9325, 9323])).
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% 1.85/1.74 (xuntil22(s18) | (~until21(s18))),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9328, 9071, 9322])).
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% 1.85/1.74 (xuntil22(s18)),
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(monotonicity,[status(thm)],[9337])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9352, 9351])).
% 1.85/1.74 tff(9354,plain,
% 1.85/1.74 (xuntil22(s20) | node20(s20)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9353, 9071, 9347])).
% 1.85/1.74 tff(9355,plain,
% 1.85/1.74 (xuntil22(s20)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9354, 8894])).
% 1.85/1.74 tff(9356,plain,
% 1.85/1.74 (((~![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))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9357,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9358,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s20, s21)) | (~xuntil22(s20)) | until21(s21)),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9357, 9356])).
% 1.85/1.74 tff(9359,plain,
% 1.85/1.74 ((~xuntil22(s20)) | until21(s21)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9358, 2074, 9089])).
% 1.85/1.74 tff(9360,plain,
% 1.85/1.74 (until21(s21)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9359, 9355])).
% 1.85/1.74 tff(9361,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9362,plain,
% 1.85/1.74 ((node20(s21) | (~until21(s21)) | xuntil22(s21)) <=> (xuntil22(s21) | node20(s21) | (~until21(s21)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9363,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9362])).
% 1.85/1.74 tff(9364,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(transitivity,[status(thm)],[9363, 9361])).
% 1.85/1.74 tff(9365,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s21) | (~until21(s21)) | xuntil22(s21))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9366,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s21) | node20(s21) | (~until21(s21))),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9365, 9364])).
% 1.85/1.74 tff(9367,plain,
% 1.85/1.74 (xuntil22(s21)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9366, 9071, 9360, 8885])).
% 1.85/1.74 tff(9368,plain,
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9369,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9370,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s21, s22)) | (~xuntil22(s21)) | until21(s22)),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 1.85/1.74 tff(9371,plain,
% 1.85/1.74 ((~xuntil22(s21)) | until21(s22)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9370, 2141, 9089])).
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% 1.85/1.74 (until21(s22)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9371, 9367])).
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% 1.85/1.74 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s22) | (~node20(s22)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s22) | (~node20(s22)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s22) | (~node20(s22)))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9375,plain,
% 1.85/1.74 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s22) | (~node20(s22))),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9374, 9373])).
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% 1.85/1.74 (~node20(s22)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9375, 8254, 8876])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9378,plain,
% 1.85/1.74 ((node20(s22) | (~until21(s22)) | xuntil22(s22)) <=> (xuntil22(s22) | node20(s22) | (~until21(s22)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9379,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9378])).
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% 1.85/1.74 inference(transitivity,[status(thm)],[9379, 9377])).
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% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9381, 9380])).
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% 1.85/1.74 (xuntil22(s22) | (~until21(s22))),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9382, 9071, 9376])).
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% 1.85/1.74 (xuntil22(s22)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9383, 9372])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9386,plain,
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% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 1.85/1.74 tff(9388,plain,
% 1.85/1.74 ((~xuntil22(s22)) | until21(s23)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9387, 2240, 9089])).
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% 1.85/1.74 (until21(s23)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9388, 9384])).
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% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9391,plain,
% 1.85/1.74 ((node20(s23) | (~until21(s23)) | xuntil22(s23)) <=> (xuntil22(s23) | node20(s23) | (~until21(s23)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9392,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9391])).
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% 1.85/1.74 inference(transitivity,[status(thm)],[9392, 9390])).
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% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9394, 9393])).
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% 1.85/1.74 (xuntil22(s23)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9395, 9071, 9389, 8869])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
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% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s23, s24)) | (~xuntil22(s23)) | until21(s24))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
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% 1.85/1.74 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 1.85/1.74 tff(9400,plain,
% 1.85/1.74 ((~xuntil22(s23)) | until21(s24)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9399, 2318, 9089])).
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% 1.85/1.74 (until21(s24)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9400, 9396])).
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% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9403,plain,
% 1.85/1.74 ((node20(s24) | (~until21(s24)) | xuntil22(s24)) <=> (xuntil22(s24) | node20(s24) | (~until21(s24)))),
% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9404,plain,
% 1.85/1.74 (((~![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))))),
% 1.85/1.74 inference(monotonicity,[status(thm)],[9403])).
% 1.85/1.74 tff(9405,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.74 inference(transitivity,[status(thm)],[9404, 9402])).
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% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9407,plain,
% 1.85/1.74 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s24) | node20(s24) | (~until21(s24))),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9406, 9405])).
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% 1.85/1.74 (xuntil22(s24) | node20(s24)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9407, 9071, 9401])).
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% 1.85/1.74 (xuntil22(s24)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9408, 8861])).
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% 1.85/1.74 inference(rewrite,[status(thm)],[])).
% 1.85/1.74 tff(9411,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25))),
% 1.85/1.74 inference(quant_inst,[status(thm)],[])).
% 1.85/1.74 tff(9412,plain,
% 1.85/1.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s24, s25)) | (~xuntil22(s24)) | until21(s25)),
% 1.85/1.74 inference(modus_ponens,[status(thm)],[9411, 9410])).
% 1.85/1.74 tff(9413,plain,
% 1.85/1.74 ((~xuntil22(s24)) | until21(s25)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9412, 2379, 9089])).
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% 1.85/1.74 (until21(s25)),
% 1.85/1.74 inference(unit_resolution,[status(thm)],[9413, 9409])).
% 1.85/1.74 tff(9415,plain,
% 1.85/1.74 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9416,plain,
% 1.85/1.75 ((node20(s25) | (~until21(s25)) | xuntil22(s25)) <=> (xuntil22(s25) | node20(s25) | (~until21(s25)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9417,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9416])).
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% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9417, 9415])).
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% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9420,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s25) | node20(s25) | (~until21(s25))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9419, 9418])).
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% 1.85/1.75 (xuntil22(s25)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9420, 9071, 9414, 8852])).
% 1.85/1.75 tff(9422,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9423,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9424,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s25, s26)) | (~xuntil22(s25)) | until21(s26)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9423, 9422])).
% 1.85/1.75 tff(9425,plain,
% 1.85/1.75 ((~xuntil22(s25)) | until21(s26)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9424, 2474, 9089])).
% 1.85/1.75 tff(9426,plain,
% 1.85/1.75 (until21(s26)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9425, 9421])).
% 1.85/1.75 tff(9427,plain,
% 1.85/1.75 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s26) | (~node20(s26)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s26) | (~node20(s26)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9428,plain,
% 1.85/1.75 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s26) | (~node20(s26)))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9429,plain,
% 1.85/1.75 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s26) | (~node20(s26))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 1.85/1.75 tff(9430,plain,
% 1.85/1.75 (~node20(s26)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9429, 8254, 8843])).
% 1.85/1.75 tff(9431,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9432,plain,
% 1.85/1.75 ((node20(s26) | (~until21(s26)) | xuntil22(s26)) <=> (xuntil22(s26) | node20(s26) | (~until21(s26)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9433,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9432])).
% 1.85/1.75 tff(9434,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9433, 9431])).
% 1.85/1.75 tff(9435,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s26) | (~until21(s26)) | xuntil22(s26))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9436,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s26) | node20(s26) | (~until21(s26))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 1.85/1.75 tff(9437,plain,
% 1.85/1.75 (xuntil22(s26) | (~until21(s26))),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9436, 9071, 9430])).
% 1.85/1.75 tff(9438,plain,
% 1.85/1.75 (xuntil22(s26)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9437, 9426])).
% 1.85/1.75 tff(9439,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9440,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9441,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s26, s27)) | (~xuntil22(s26)) | until21(s27)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 1.85/1.75 tff(9442,plain,
% 1.85/1.75 ((~xuntil22(s26)) | until21(s27)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9441, 2538, 9089])).
% 1.85/1.75 tff(9443,plain,
% 1.85/1.75 (until21(s27)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9442, 9438])).
% 1.85/1.75 tff(9444,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9445,plain,
% 1.85/1.75 ((node20(s27) | (~until21(s27)) | xuntil22(s27)) <=> (xuntil22(s27) | node20(s27) | (~until21(s27)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9446,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9445])).
% 1.85/1.75 tff(9447,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9446, 9444])).
% 1.85/1.75 tff(9448,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s27) | (~until21(s27)) | xuntil22(s27))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9449,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s27) | node20(s27) | (~until21(s27))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 1.85/1.75 tff(9450,plain,
% 1.85/1.75 (xuntil22(s27)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9449, 9071, 9443, 8836])).
% 1.85/1.75 tff(9451,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9452,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9453,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s27, s28)) | (~xuntil22(s27)) | until21(s28)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 1.85/1.75 tff(9454,plain,
% 1.85/1.75 ((~xuntil22(s27)) | until21(s28)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9453, 2613, 9089])).
% 1.85/1.75 tff(9455,plain,
% 1.85/1.75 (until21(s28)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9454, 9450])).
% 1.85/1.75 tff(9456,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9457,plain,
% 1.85/1.75 ((node20(s28) | (~until21(s28)) | xuntil22(s28)) <=> (xuntil22(s28) | node20(s28) | (~until21(s28)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9458,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9457])).
% 1.85/1.75 tff(9459,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9458, 9456])).
% 1.85/1.75 tff(9460,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s28) | (~until21(s28)) | xuntil22(s28))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9461,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s28) | node20(s28) | (~until21(s28))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 1.85/1.75 tff(9462,plain,
% 1.85/1.75 (xuntil22(s28) | node20(s28)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9461, 9071, 9455])).
% 1.85/1.75 tff(9463,plain,
% 1.85/1.75 (xuntil22(s28)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9462, 8828])).
% 1.85/1.75 tff(9464,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9465,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9466,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s28, s29)) | (~xuntil22(s28)) | until21(s29)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9465, 9464])).
% 1.85/1.75 tff(9467,plain,
% 1.85/1.75 ((~xuntil22(s28)) | until21(s29)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9466, 2702, 9089])).
% 1.85/1.75 tff(9468,plain,
% 1.85/1.75 (until21(s29)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9467, 9463])).
% 1.85/1.75 tff(9469,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9470,plain,
% 1.85/1.75 ((node20(s29) | (~until21(s29)) | xuntil22(s29)) <=> (xuntil22(s29) | node20(s29) | (~until21(s29)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9471,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9470])).
% 1.85/1.75 tff(9472,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9471, 9469])).
% 1.85/1.75 tff(9473,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s29) | (~until21(s29)) | xuntil22(s29))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9474,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s29) | node20(s29) | (~until21(s29))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9473, 9472])).
% 1.85/1.75 tff(9475,plain,
% 1.85/1.75 (xuntil22(s29)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9474, 9071, 9468, 8819])).
% 1.85/1.75 tff(9476,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9477,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9478,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s29, s30)) | (~xuntil22(s29)) | until21(s30)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 1.85/1.75 tff(9479,plain,
% 1.85/1.75 ((~xuntil22(s29)) | until21(s30)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9478, 2769, 9089])).
% 1.85/1.75 tff(9480,plain,
% 1.85/1.75 (until21(s30)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9479, 9475])).
% 1.85/1.75 tff(9481,plain,
% 1.85/1.75 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s30) | (~node20(s30)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s30) | (~node20(s30)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9482,plain,
% 1.85/1.75 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s30) | (~node20(s30)))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9483,plain,
% 1.85/1.75 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s30) | (~node20(s30))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9482, 9481])).
% 1.85/1.75 tff(9484,plain,
% 1.85/1.75 (~node20(s30)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9483, 8254, 8810])).
% 1.85/1.75 tff(9485,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9486,plain,
% 1.85/1.75 ((node20(s30) | (~until21(s30)) | xuntil22(s30)) <=> (xuntil22(s30) | node20(s30) | (~until21(s30)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9487,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9486])).
% 1.85/1.75 tff(9488,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9487, 9485])).
% 1.85/1.75 tff(9489,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s30) | (~until21(s30)) | xuntil22(s30))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9490,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s30) | node20(s30) | (~until21(s30))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9489, 9488])).
% 1.85/1.75 tff(9491,plain,
% 1.85/1.75 (xuntil22(s30) | (~until21(s30))),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9490, 9071, 9484])).
% 1.85/1.75 tff(9492,plain,
% 1.85/1.75 (xuntil22(s30)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9491, 9480])).
% 1.85/1.75 tff(9493,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9494,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9495,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s30, s31)) | (~xuntil22(s30)) | until21(s31)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9494, 9493])).
% 1.85/1.75 tff(9496,plain,
% 1.85/1.75 ((~xuntil22(s30)) | until21(s31)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9495, 2868, 9089])).
% 1.85/1.75 tff(9497,plain,
% 1.85/1.75 (until21(s31)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9496, 9492])).
% 1.85/1.75 tff(9498,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9499,plain,
% 1.85/1.75 ((node20(s31) | (~until21(s31)) | xuntil22(s31)) <=> (xuntil22(s31) | node20(s31) | (~until21(s31)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9500,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9499])).
% 1.85/1.75 tff(9501,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9500, 9498])).
% 1.85/1.75 tff(9502,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s31) | (~until21(s31)) | xuntil22(s31))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9503,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s31) | node20(s31) | (~until21(s31))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9502, 9501])).
% 1.85/1.75 tff(9504,plain,
% 1.85/1.75 (xuntil22(s31)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9503, 9071, 9497, 8803])).
% 1.85/1.75 tff(9505,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9506,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9507,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s31, s32)) | (~xuntil22(s31)) | until21(s32)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9506, 9505])).
% 1.85/1.75 tff(9508,plain,
% 1.85/1.75 ((~xuntil22(s31)) | until21(s32)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9507, 2946, 9089])).
% 1.85/1.75 tff(9509,plain,
% 1.85/1.75 (until21(s32)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9508, 9504])).
% 1.85/1.75 tff(9510,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9511,plain,
% 1.85/1.75 ((node20(s32) | (~until21(s32)) | xuntil22(s32)) <=> (xuntil22(s32) | node20(s32) | (~until21(s32)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9512,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9511])).
% 1.85/1.75 tff(9513,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9512, 9510])).
% 1.85/1.75 tff(9514,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s32) | (~until21(s32)) | xuntil22(s32))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9515,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s32) | node20(s32) | (~until21(s32))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9514, 9513])).
% 1.85/1.75 tff(9516,plain,
% 1.85/1.75 (xuntil22(s32) | node20(s32)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9515, 9071, 9509])).
% 1.85/1.75 tff(9517,plain,
% 1.85/1.75 (xuntil22(s32)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9516, 8795])).
% 1.85/1.75 tff(9518,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9519,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9520,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s32, s33)) | (~xuntil22(s32)) | until21(s33)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 1.85/1.75 tff(9521,plain,
% 1.85/1.75 ((~xuntil22(s32)) | until21(s33)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9520, 3007, 9089])).
% 1.85/1.75 tff(9522,plain,
% 1.85/1.75 (until21(s33)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9521, 9517])).
% 1.85/1.75 tff(9523,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9524,plain,
% 1.85/1.75 ((node20(s33) | (~until21(s33)) | xuntil22(s33)) <=> (xuntil22(s33) | node20(s33) | (~until21(s33)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9525,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9524])).
% 1.85/1.75 tff(9526,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9525, 9523])).
% 1.85/1.75 tff(9527,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s33) | (~until21(s33)) | xuntil22(s33))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9528,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s33) | node20(s33) | (~until21(s33))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 1.85/1.75 tff(9529,plain,
% 1.85/1.75 (xuntil22(s33)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9528, 9071, 9522, 8786])).
% 1.85/1.75 tff(9530,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9531,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9532,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s33, s34)) | (~xuntil22(s33)) | until21(s34)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 1.85/1.75 tff(9533,plain,
% 1.85/1.75 ((~xuntil22(s33)) | until21(s34)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9532, 3102, 9089])).
% 1.85/1.75 tff(9534,plain,
% 1.85/1.75 (until21(s34)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9533, 9529])).
% 1.85/1.75 tff(9535,plain,
% 1.85/1.75 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s34) | (~node20(s34)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s34) | (~node20(s34)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9536,plain,
% 1.85/1.75 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s34) | (~node20(s34)))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9537,plain,
% 1.85/1.75 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s34) | (~node20(s34))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 1.85/1.75 tff(9538,plain,
% 1.85/1.75 (~node20(s34)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9537, 8254, 8777])).
% 1.85/1.75 tff(9539,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9540,plain,
% 1.85/1.75 ((node20(s34) | (~until21(s34)) | xuntil22(s34)) <=> (xuntil22(s34) | node20(s34) | (~until21(s34)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9541,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9540])).
% 1.85/1.75 tff(9542,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9541, 9539])).
% 1.85/1.75 tff(9543,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s34) | (~until21(s34)) | xuntil22(s34))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9544,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s34) | node20(s34) | (~until21(s34))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9543, 9542])).
% 1.85/1.75 tff(9545,plain,
% 1.85/1.75 (xuntil22(s34) | (~until21(s34))),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9544, 9071, 9538])).
% 1.85/1.75 tff(9546,plain,
% 1.85/1.75 (xuntil22(s34)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9545, 9534])).
% 1.85/1.75 tff(9547,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9548,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9549,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s34, s35)) | (~xuntil22(s34)) | until21(s35)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 1.85/1.75 tff(9550,plain,
% 1.85/1.75 ((~xuntil22(s34)) | until21(s35)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9549, 3166, 9089])).
% 1.85/1.75 tff(9551,plain,
% 1.85/1.75 (until21(s35)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9550, 9546])).
% 1.85/1.75 tff(9552,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9553,plain,
% 1.85/1.75 ((node20(s35) | (~until21(s35)) | xuntil22(s35)) <=> (xuntil22(s35) | node20(s35) | (~until21(s35)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9554,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9553])).
% 1.85/1.75 tff(9555,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9554, 9552])).
% 1.85/1.75 tff(9556,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s35) | (~until21(s35)) | xuntil22(s35))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9557,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s35) | node20(s35) | (~until21(s35))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 1.85/1.75 tff(9558,plain,
% 1.85/1.75 (xuntil22(s35)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9557, 9071, 9551, 8770])).
% 1.85/1.75 tff(9559,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9560,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9561,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s35, s36)) | (~xuntil22(s35)) | until21(s36)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9560, 9559])).
% 1.85/1.75 tff(9562,plain,
% 1.85/1.75 ((~xuntil22(s35)) | until21(s36)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9561, 3241, 9089])).
% 1.85/1.75 tff(9563,plain,
% 1.85/1.75 (until21(s36)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9562, 9558])).
% 1.85/1.75 tff(9564,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9565,plain,
% 1.85/1.75 ((node20(s36) | (~until21(s36)) | xuntil22(s36)) <=> (xuntil22(s36) | node20(s36) | (~until21(s36)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9566,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9565])).
% 1.85/1.75 tff(9567,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9566, 9564])).
% 1.85/1.75 tff(9568,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s36) | (~until21(s36)) | xuntil22(s36))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9569,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s36) | node20(s36) | (~until21(s36))),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9568, 9567])).
% 1.85/1.75 tff(9570,plain,
% 1.85/1.75 (xuntil22(s36) | node20(s36)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9569, 9071, 9563])).
% 1.85/1.75 tff(9571,plain,
% 1.85/1.75 (xuntil22(s36)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9570, 8762])).
% 1.85/1.75 tff(9572,plain,
% 1.85/1.75 (((~![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))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9573,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9574,plain,
% 1.85/1.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s36, s37)) | (~xuntil22(s36)) | until21(s37)),
% 1.85/1.75 inference(modus_ponens,[status(thm)],[9573, 9572])).
% 1.85/1.75 tff(9575,plain,
% 1.85/1.75 ((~xuntil22(s36)) | until21(s37)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9574, 3330, 9089])).
% 1.85/1.75 tff(9576,plain,
% 1.85/1.75 (until21(s37)),
% 1.85/1.75 inference(unit_resolution,[status(thm)],[9575, 9571])).
% 1.85/1.75 tff(9577,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9578,plain,
% 1.85/1.75 ((node20(s37) | (~until21(s37)) | xuntil22(s37)) <=> (xuntil22(s37) | node20(s37) | (~until21(s37)))),
% 1.85/1.75 inference(rewrite,[status(thm)],[])).
% 1.85/1.75 tff(9579,plain,
% 1.85/1.75 (((~![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))))),
% 1.85/1.75 inference(monotonicity,[status(thm)],[9578])).
% 1.85/1.75 tff(9580,plain,
% 1.85/1.75 (((~![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)))),
% 1.85/1.75 inference(transitivity,[status(thm)],[9579, 9577])).
% 1.85/1.75 tff(9581,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s37) | (~until21(s37)) | xuntil22(s37))),
% 1.85/1.75 inference(quant_inst,[status(thm)],[])).
% 1.85/1.75 tff(9582,plain,
% 1.85/1.75 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s37) | node20(s37) | (~until21(s37))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9581, 9580])).
% 1.85/1.76 tff(9583,plain,
% 1.85/1.76 (xuntil22(s37)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9582, 9071, 9576, 8753])).
% 1.85/1.76 tff(9584,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9585,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9586,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s37, s38)) | (~xuntil22(s37)) | until21(s38)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9585, 9584])).
% 1.85/1.76 tff(9587,plain,
% 1.85/1.76 ((~xuntil22(s37)) | until21(s38)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9586, 3397, 9089])).
% 1.85/1.76 tff(9588,plain,
% 1.85/1.76 (until21(s38)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9587, 9583])).
% 1.85/1.76 tff(9589,plain,
% 1.85/1.76 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s38) | (~node20(s38)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s38) | (~node20(s38)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9590,plain,
% 1.85/1.76 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s38) | (~node20(s38)))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9591,plain,
% 1.85/1.76 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s38) | (~node20(s38))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9590, 9589])).
% 1.85/1.76 tff(9592,plain,
% 1.85/1.76 (~node20(s38)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9591, 8254, 8744])).
% 1.85/1.76 tff(9593,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9594,plain,
% 1.85/1.76 ((node20(s38) | (~until21(s38)) | xuntil22(s38)) <=> (xuntil22(s38) | node20(s38) | (~until21(s38)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9595,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9594])).
% 1.85/1.76 tff(9596,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9595, 9593])).
% 1.85/1.76 tff(9597,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s38) | (~until21(s38)) | xuntil22(s38))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9598,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s38) | node20(s38) | (~until21(s38))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9597, 9596])).
% 1.85/1.76 tff(9599,plain,
% 1.85/1.76 (xuntil22(s38) | (~until21(s38))),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9598, 9071, 9592])).
% 1.85/1.76 tff(9600,plain,
% 1.85/1.76 (xuntil22(s38)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9599, 9588])).
% 1.85/1.76 tff(9601,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9602,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9603,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s38, s39)) | (~xuntil22(s38)) | until21(s39)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9602, 9601])).
% 1.85/1.76 tff(9604,plain,
% 1.85/1.76 ((~xuntil22(s38)) | until21(s39)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9603, 3496, 9089])).
% 1.85/1.76 tff(9605,plain,
% 1.85/1.76 (until21(s39)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9604, 9600])).
% 1.85/1.76 tff(9606,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9607,plain,
% 1.85/1.76 ((node20(s39) | (~until21(s39)) | xuntil22(s39)) <=> (xuntil22(s39) | node20(s39) | (~until21(s39)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9608,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9607])).
% 1.85/1.76 tff(9609,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9608, 9606])).
% 1.85/1.76 tff(9610,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s39) | (~until21(s39)) | xuntil22(s39))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9611,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s39) | node20(s39) | (~until21(s39))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9610, 9609])).
% 1.85/1.76 tff(9612,plain,
% 1.85/1.76 (xuntil22(s39)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9611, 9071, 9605, 8737])).
% 1.85/1.76 tff(9613,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9614,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9615,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s39, s40)) | (~xuntil22(s39)) | until21(s40)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 1.85/1.76 tff(9616,plain,
% 1.85/1.76 ((~xuntil22(s39)) | until21(s40)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9615, 3574, 9089])).
% 1.85/1.76 tff(9617,plain,
% 1.85/1.76 (until21(s40)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9616, 9612])).
% 1.85/1.76 tff(9618,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9619,plain,
% 1.85/1.76 ((node20(s40) | (~until21(s40)) | xuntil22(s40)) <=> (xuntil22(s40) | node20(s40) | (~until21(s40)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9620,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9619])).
% 1.85/1.76 tff(9621,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9620, 9618])).
% 1.85/1.76 tff(9622,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s40) | (~until21(s40)) | xuntil22(s40))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9623,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s40) | node20(s40) | (~until21(s40))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 1.85/1.76 tff(9624,plain,
% 1.85/1.76 (xuntil22(s40) | node20(s40)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9623, 9071, 9617])).
% 1.85/1.76 tff(9625,plain,
% 1.85/1.76 (xuntil22(s40)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9624, 8729])).
% 1.85/1.76 tff(9626,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9627,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9628,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s40, s41)) | (~xuntil22(s40)) | until21(s41)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 1.85/1.76 tff(9629,plain,
% 1.85/1.76 ((~xuntil22(s40)) | until21(s41)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9628, 3635, 9089])).
% 1.85/1.76 tff(9630,plain,
% 1.85/1.76 (until21(s41)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9629, 9625])).
% 1.85/1.76 tff(9631,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9632,plain,
% 1.85/1.76 ((node20(s41) | (~until21(s41)) | xuntil22(s41)) <=> (xuntil22(s41) | node20(s41) | (~until21(s41)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9633,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9632])).
% 1.85/1.76 tff(9634,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9633, 9631])).
% 1.85/1.76 tff(9635,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s41) | (~until21(s41)) | xuntil22(s41))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9636,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s41) | node20(s41) | (~until21(s41))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 1.85/1.76 tff(9637,plain,
% 1.85/1.76 (xuntil22(s41)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9636, 9071, 9630, 8720])).
% 1.85/1.76 tff(9638,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9639,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9640,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s41, s42)) | (~xuntil22(s41)) | until21(s42)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 1.85/1.76 tff(9641,plain,
% 1.85/1.76 ((~xuntil22(s41)) | until21(s42)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9640, 3730, 9089])).
% 1.85/1.76 tff(9642,plain,
% 1.85/1.76 (until21(s42)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9641, 9637])).
% 1.85/1.76 tff(9643,plain,
% 1.85/1.76 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s42) | (~node20(s42)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s42) | (~node20(s42)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9644,plain,
% 1.85/1.76 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s42) | (~node20(s42)))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9645,plain,
% 1.85/1.76 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s42) | (~node20(s42))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 1.85/1.76 tff(9646,plain,
% 1.85/1.76 (~node20(s42)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9645, 8254, 8711])).
% 1.85/1.76 tff(9647,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9648,plain,
% 1.85/1.76 ((node20(s42) | (~until21(s42)) | xuntil22(s42)) <=> (xuntil22(s42) | node20(s42) | (~until21(s42)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9649,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9648])).
% 1.85/1.76 tff(9650,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9649, 9647])).
% 1.85/1.76 tff(9651,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s42) | (~until21(s42)) | xuntil22(s42))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9652,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s42) | node20(s42) | (~until21(s42))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9651, 9650])).
% 1.85/1.76 tff(9653,plain,
% 1.85/1.76 (xuntil22(s42) | (~until21(s42))),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9652, 9071, 9646])).
% 1.85/1.76 tff(9654,plain,
% 1.85/1.76 (xuntil22(s42)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9653, 9642])).
% 1.85/1.76 tff(9655,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9656,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9657,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s42, s43)) | (~xuntil22(s42)) | until21(s43)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 1.85/1.76 tff(9658,plain,
% 1.85/1.76 ((~xuntil22(s42)) | until21(s43)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9657, 3794, 9089])).
% 1.85/1.76 tff(9659,plain,
% 1.85/1.76 (until21(s43)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9658, 9654])).
% 1.85/1.76 tff(9660,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9661,plain,
% 1.85/1.76 ((node20(s43) | (~until21(s43)) | xuntil22(s43)) <=> (xuntil22(s43) | node20(s43) | (~until21(s43)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9662,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9661])).
% 1.85/1.76 tff(9663,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9662, 9660])).
% 1.85/1.76 tff(9664,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s43) | (~until21(s43)) | xuntil22(s43))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9665,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s43) | node20(s43) | (~until21(s43))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 1.85/1.76 tff(9666,plain,
% 1.85/1.76 (xuntil22(s43)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9665, 9071, 9659, 8704])).
% 1.85/1.76 tff(9667,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9668,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9669,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s43, s44)) | (~xuntil22(s43)) | until21(s44)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 1.85/1.76 tff(9670,plain,
% 1.85/1.76 ((~xuntil22(s43)) | until21(s44)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9669, 3869, 9089])).
% 1.85/1.76 tff(9671,plain,
% 1.85/1.76 (until21(s44)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9670, 9666])).
% 1.85/1.76 tff(9672,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9673,plain,
% 1.85/1.76 ((node20(s44) | (~until21(s44)) | xuntil22(s44)) <=> (xuntil22(s44) | node20(s44) | (~until21(s44)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9674,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9673])).
% 1.85/1.76 tff(9675,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9674, 9672])).
% 1.85/1.76 tff(9676,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s44) | (~until21(s44)) | xuntil22(s44))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9677,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s44) | node20(s44) | (~until21(s44))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 1.85/1.76 tff(9678,plain,
% 1.85/1.76 (xuntil22(s44) | node20(s44)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9677, 9071, 9671])).
% 1.85/1.76 tff(9679,plain,
% 1.85/1.76 (xuntil22(s44)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9678, 8696])).
% 1.85/1.76 tff(9680,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9681,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9682,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s44, s45)) | (~xuntil22(s44)) | until21(s45)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 1.85/1.76 tff(9683,plain,
% 1.85/1.76 ((~xuntil22(s44)) | until21(s45)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9682, 3958, 9089])).
% 1.85/1.76 tff(9684,plain,
% 1.85/1.76 (until21(s45)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9683, 9679])).
% 1.85/1.76 tff(9685,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9686,plain,
% 1.85/1.76 ((node20(s45) | (~until21(s45)) | xuntil22(s45)) <=> (xuntil22(s45) | node20(s45) | (~until21(s45)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9687,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9686])).
% 1.85/1.76 tff(9688,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9687, 9685])).
% 1.85/1.76 tff(9689,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s45) | (~until21(s45)) | xuntil22(s45))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9690,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s45) | node20(s45) | (~until21(s45))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9689, 9688])).
% 1.85/1.76 tff(9691,plain,
% 1.85/1.76 (xuntil22(s45)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9690, 9071, 9684, 8687])).
% 1.85/1.76 tff(9692,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9693,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9694,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s45, s46)) | (~xuntil22(s45)) | until21(s46)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9693, 9692])).
% 1.85/1.76 tff(9695,plain,
% 1.85/1.76 ((~xuntil22(s45)) | until21(s46)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9694, 4025, 9089])).
% 1.85/1.76 tff(9696,plain,
% 1.85/1.76 (until21(s46)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9695, 9691])).
% 1.85/1.76 tff(9697,plain,
% 1.85/1.76 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s46) | (~node20(s46)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s46) | (~node20(s46)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9698,plain,
% 1.85/1.76 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s46) | (~node20(s46)))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9699,plain,
% 1.85/1.76 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s46) | (~node20(s46))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9698, 9697])).
% 1.85/1.76 tff(9700,plain,
% 1.85/1.76 (~node20(s46)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9699, 8254, 8678])).
% 1.85/1.76 tff(9701,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9702,plain,
% 1.85/1.76 ((node20(s46) | (~until21(s46)) | xuntil22(s46)) <=> (xuntil22(s46) | node20(s46) | (~until21(s46)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9703,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9702])).
% 1.85/1.76 tff(9704,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9703, 9701])).
% 1.85/1.76 tff(9705,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s46) | (~until21(s46)) | xuntil22(s46))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9706,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s46) | node20(s46) | (~until21(s46))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 1.85/1.76 tff(9707,plain,
% 1.85/1.76 (xuntil22(s46) | (~until21(s46))),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9706, 9071, 9700])).
% 1.85/1.76 tff(9708,plain,
% 1.85/1.76 (xuntil22(s46)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9707, 9696])).
% 1.85/1.76 tff(9709,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9710,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9711,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s46, s47)) | (~xuntil22(s46)) | until21(s47)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9710, 9709])).
% 1.85/1.76 tff(9712,plain,
% 1.85/1.76 ((~xuntil22(s46)) | until21(s47)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9711, 4124, 9089])).
% 1.85/1.76 tff(9713,plain,
% 1.85/1.76 (until21(s47)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9712, 9708])).
% 1.85/1.76 tff(9714,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9715,plain,
% 1.85/1.76 ((node20(s47) | (~until21(s47)) | xuntil22(s47)) <=> (xuntil22(s47) | node20(s47) | (~until21(s47)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9716,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9715])).
% 1.85/1.76 tff(9717,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(transitivity,[status(thm)],[9716, 9714])).
% 1.85/1.76 tff(9718,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s47) | (~until21(s47)) | xuntil22(s47))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9719,plain,
% 1.85/1.76 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s47) | node20(s47) | (~until21(s47))),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 1.85/1.76 tff(9720,plain,
% 1.85/1.76 (xuntil22(s47)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9719, 9071, 9713, 8671])).
% 1.85/1.76 tff(9721,plain,
% 1.85/1.76 (((~![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))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9722,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48))),
% 1.85/1.76 inference(quant_inst,[status(thm)],[])).
% 1.85/1.76 tff(9723,plain,
% 1.85/1.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s47, s48)) | (~xuntil22(s47)) | until21(s48)),
% 1.85/1.76 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 1.85/1.76 tff(9724,plain,
% 1.85/1.76 ((~xuntil22(s47)) | until21(s48)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9723, 4202, 9089])).
% 1.85/1.76 tff(9725,plain,
% 1.85/1.76 (until21(s48)),
% 1.85/1.76 inference(unit_resolution,[status(thm)],[9724, 9720])).
% 1.85/1.76 tff(9726,plain,
% 1.85/1.76 (((~![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)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9727,plain,
% 1.85/1.76 ((node20(s48) | (~until21(s48)) | xuntil22(s48)) <=> (xuntil22(s48) | node20(s48) | (~until21(s48)))),
% 1.85/1.76 inference(rewrite,[status(thm)],[])).
% 1.85/1.76 tff(9728,plain,
% 1.85/1.76 (((~![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))))),
% 1.85/1.76 inference(monotonicity,[status(thm)],[9727])).
% 1.85/1.77 tff(9729,plain,
% 1.85/1.77 (((~![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)))),
% 1.85/1.77 inference(transitivity,[status(thm)],[9728, 9726])).
% 1.85/1.77 tff(9730,plain,
% 1.85/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s48) | (~until21(s48)) | xuntil22(s48))),
% 1.85/1.77 inference(quant_inst,[status(thm)],[])).
% 1.85/1.77 tff(9731,plain,
% 1.85/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s48) | node20(s48) | (~until21(s48))),
% 1.85/1.77 inference(modus_ponens,[status(thm)],[9730, 9729])).
% 1.85/1.77 tff(9732,plain,
% 1.85/1.77 (xuntil22(s48) | node20(s48)),
% 1.85/1.77 inference(unit_resolution,[status(thm)],[9731, 9071, 9725])).
% 1.85/1.77 tff(9733,plain,
% 1.85/1.77 (xuntil22(s48)),
% 1.85/1.77 inference(unit_resolution,[status(thm)],[9732, 8663])).
% 1.85/1.77 tff(9734,plain,
% 1.85/1.77 (((~![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))),
% 1.85/1.77 inference(rewrite,[status(thm)],[])).
% 1.85/1.77 tff(9735,plain,
% 1.85/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49))),
% 1.85/1.77 inference(quant_inst,[status(thm)],[])).
% 1.85/1.77 tff(9736,plain,
% 1.85/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s48, s49)) | (~xuntil22(s48)) | until21(s49)),
% 1.85/1.77 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 1.85/1.77 tff(9737,plain,
% 1.85/1.77 ((~xuntil22(s48)) | until21(s49)),
% 1.85/1.77 inference(unit_resolution,[status(thm)],[9736, 4263, 9089])).
% 1.85/1.77 tff(9738,plain,
% 1.85/1.77 (until21(s49)),
% 1.85/1.77 inference(unit_resolution,[status(thm)],[9737, 9733])).
% 1.85/1.77 tff(9739,plain,
% 1.85/1.77 (((~![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)))),
% 1.85/1.77 inference(rewrite,[status(thm)],[])).
% 1.85/1.77 tff(9740,plain,
% 1.85/1.77 ((node20(s49) | (~until21(s49)) | xuntil22(s49)) <=> (xuntil22(s49) | node20(s49) | (~until21(s49)))),
% 1.85/1.77 inference(rewrite,[status(thm)],[])).
% 1.85/1.77 tff(9741,plain,
% 1.85/1.77 (((~![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))))),
% 1.85/1.77 inference(monotonicity,[status(thm)],[9740])).
% 1.85/1.77 tff(9742,plain,
% 1.85/1.77 (((~![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)))),
% 1.85/1.77 inference(transitivity,[status(thm)],[9741, 9739])).
% 1.85/1.77 tff(9743,plain,
% 1.85/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s49) | (~until21(s49)) | xuntil22(s49))),
% 1.85/1.77 inference(quant_inst,[status(thm)],[])).
% 1.85/1.77 tff(9744,plain,
% 1.85/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s49) | node20(s49) | (~until21(s49))),
% 1.85/1.77 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 1.85/1.77 tff(9745,plain,
% 1.85/1.77 (xuntil22(s49)),
% 1.85/1.77 inference(unit_resolution,[status(thm)],[9744, 9071, 9738, 8654])).
% 1.85/1.77 tff(9746,plain,
% 1.85/1.77 (((~![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))),
% 1.85/1.77 inference(rewrite,[status(thm)],[])).
% 1.85/1.77 tff(9747,plain,
% 1.85/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50))),
% 1.85/1.77 inference(quant_inst,[status(thm)],[])).
% 1.85/1.77 tff(9748,plain,
% 1.85/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s49, s50)) | (~xuntil22(s49)) | until21(s50)),
% 1.85/1.77 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 1.85/1.77 tff(9749,plain,
% 1.85/1.77 ((~xuntil22(s49)) | until21(s50)),
% 1.85/1.77 inference(unit_resolution,[status(thm)],[9748, 4358, 9089])).
% 1.94/1.77 tff(9750,plain,
% 1.94/1.77 (until21(s50)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9749, 9745])).
% 1.94/1.77 tff(9751,plain,
% 1.94/1.77 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s50) | (~node20(s50)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s50) | (~node20(s50)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9752,plain,
% 1.94/1.77 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s50) | (~node20(s50)))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9753,plain,
% 1.94/1.77 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s50) | (~node20(s50))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9752, 9751])).
% 1.94/1.77 tff(9754,plain,
% 1.94/1.77 (~node20(s50)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9753, 8254, 8645])).
% 1.94/1.77 tff(9755,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9756,plain,
% 1.94/1.77 ((node20(s50) | (~until21(s50)) | xuntil22(s50)) <=> (xuntil22(s50) | node20(s50) | (~until21(s50)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9757,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9756])).
% 1.94/1.77 tff(9758,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9757, 9755])).
% 1.94/1.77 tff(9759,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s50) | (~until21(s50)) | xuntil22(s50))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9760,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s50) | node20(s50) | (~until21(s50))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9759, 9758])).
% 1.94/1.77 tff(9761,plain,
% 1.94/1.77 (xuntil22(s50) | (~until21(s50))),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9760, 9071, 9754])).
% 1.94/1.77 tff(9762,plain,
% 1.94/1.77 (xuntil22(s50)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9761, 9750])).
% 1.94/1.77 tff(9763,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9764,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9765,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s50, s51)) | (~xuntil22(s50)) | until21(s51)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 1.94/1.77 tff(9766,plain,
% 1.94/1.77 ((~xuntil22(s50)) | until21(s51)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9765, 4422, 9089])).
% 1.94/1.77 tff(9767,plain,
% 1.94/1.77 (until21(s51)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9766, 9762])).
% 1.94/1.77 tff(9768,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9769,plain,
% 1.94/1.77 ((node20(s51) | (~until21(s51)) | xuntil22(s51)) <=> (xuntil22(s51) | node20(s51) | (~until21(s51)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9770,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9769])).
% 1.94/1.77 tff(9771,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9770, 9768])).
% 1.94/1.77 tff(9772,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s51) | (~until21(s51)) | xuntil22(s51))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9773,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s51) | node20(s51) | (~until21(s51))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 1.94/1.77 tff(9774,plain,
% 1.94/1.77 (xuntil22(s51)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9773, 9071, 9767, 8638])).
% 1.94/1.77 tff(9775,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9776,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9777,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s51, s52)) | (~xuntil22(s51)) | until21(s52)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 1.94/1.77 tff(9778,plain,
% 1.94/1.77 ((~xuntil22(s51)) | until21(s52)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9777, 4497, 9089])).
% 1.94/1.77 tff(9779,plain,
% 1.94/1.77 (until21(s52)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9778, 9774])).
% 1.94/1.77 tff(9780,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9781,plain,
% 1.94/1.77 ((node20(s52) | (~until21(s52)) | xuntil22(s52)) <=> (xuntil22(s52) | node20(s52) | (~until21(s52)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9782,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9781])).
% 1.94/1.77 tff(9783,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9782, 9780])).
% 1.94/1.77 tff(9784,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s52) | (~until21(s52)) | xuntil22(s52))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9785,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s52) | node20(s52) | (~until21(s52))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 1.94/1.77 tff(9786,plain,
% 1.94/1.77 (xuntil22(s52) | node20(s52)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9785, 9071, 9779])).
% 1.94/1.77 tff(9787,plain,
% 1.94/1.77 (xuntil22(s52)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9786, 8630])).
% 1.94/1.77 tff(9788,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9789,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9790,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s52, s53)) | (~xuntil22(s52)) | until21(s53)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 1.94/1.77 tff(9791,plain,
% 1.94/1.77 ((~xuntil22(s52)) | until21(s53)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9790, 4586, 9089])).
% 1.94/1.77 tff(9792,plain,
% 1.94/1.77 (until21(s53)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9791, 9787])).
% 1.94/1.77 tff(9793,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9794,plain,
% 1.94/1.77 ((node20(s53) | (~until21(s53)) | xuntil22(s53)) <=> (xuntil22(s53) | node20(s53) | (~until21(s53)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9795,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9794])).
% 1.94/1.77 tff(9796,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9795, 9793])).
% 1.94/1.77 tff(9797,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s53) | (~until21(s53)) | xuntil22(s53))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9798,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s53) | node20(s53) | (~until21(s53))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9797, 9796])).
% 1.94/1.77 tff(9799,plain,
% 1.94/1.77 (xuntil22(s53)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9798, 9071, 9792, 8621])).
% 1.94/1.77 tff(9800,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9801,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9802,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s53, s54)) | (~xuntil22(s53)) | until21(s54)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9801, 9800])).
% 1.94/1.77 tff(9803,plain,
% 1.94/1.77 ((~xuntil22(s53)) | until21(s54)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9802, 4653, 9089])).
% 1.94/1.77 tff(9804,plain,
% 1.94/1.77 (until21(s54)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9803, 9799])).
% 1.94/1.77 tff(9805,plain,
% 1.94/1.77 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s54) | (~node20(s54)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s54) | (~node20(s54)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9806,plain,
% 1.94/1.77 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s54) | (~node20(s54)))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9807,plain,
% 1.94/1.77 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s54) | (~node20(s54))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 1.94/1.77 tff(9808,plain,
% 1.94/1.77 (~node20(s54)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9807, 8254, 8612])).
% 1.94/1.77 tff(9809,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9810,plain,
% 1.94/1.77 ((node20(s54) | (~until21(s54)) | xuntil22(s54)) <=> (xuntil22(s54) | node20(s54) | (~until21(s54)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9811,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9810])).
% 1.94/1.77 tff(9812,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9811, 9809])).
% 1.94/1.77 tff(9813,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s54) | (~until21(s54)) | xuntil22(s54))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9814,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s54) | node20(s54) | (~until21(s54))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9813, 9812])).
% 1.94/1.77 tff(9815,plain,
% 1.94/1.77 (xuntil22(s54) | (~until21(s54))),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9814, 9071, 9808])).
% 1.94/1.77 tff(9816,plain,
% 1.94/1.77 (xuntil22(s54)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9815, 9804])).
% 1.94/1.77 tff(9817,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9818,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9819,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s54, s55)) | (~xuntil22(s54)) | until21(s55)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 1.94/1.77 tff(9820,plain,
% 1.94/1.77 ((~xuntil22(s54)) | until21(s55)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9819, 4752, 9089])).
% 1.94/1.77 tff(9821,plain,
% 1.94/1.77 (until21(s55)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9820, 9816])).
% 1.94/1.77 tff(9822,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9823,plain,
% 1.94/1.77 ((node20(s55) | (~until21(s55)) | xuntil22(s55)) <=> (xuntil22(s55) | node20(s55) | (~until21(s55)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9824,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9823])).
% 1.94/1.77 tff(9825,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9824, 9822])).
% 1.94/1.77 tff(9826,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s55) | (~until21(s55)) | xuntil22(s55))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9827,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s55) | node20(s55) | (~until21(s55))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9826, 9825])).
% 1.94/1.77 tff(9828,plain,
% 1.94/1.77 (xuntil22(s55)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9827, 9071, 9821, 8605])).
% 1.94/1.77 tff(9829,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9830,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9831,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s55, s56)) | (~xuntil22(s55)) | until21(s56)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 1.94/1.77 tff(9832,plain,
% 1.94/1.77 ((~xuntil22(s55)) | until21(s56)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9831, 4830, 9089])).
% 1.94/1.77 tff(9833,plain,
% 1.94/1.77 (until21(s56)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9832, 9828])).
% 1.94/1.77 tff(9834,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9835,plain,
% 1.94/1.77 ((node20(s56) | (~until21(s56)) | xuntil22(s56)) <=> (xuntil22(s56) | node20(s56) | (~until21(s56)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9836,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9835])).
% 1.94/1.77 tff(9837,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9836, 9834])).
% 1.94/1.77 tff(9838,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s56) | (~until21(s56)) | xuntil22(s56))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9839,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s56) | node20(s56) | (~until21(s56))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9838, 9837])).
% 1.94/1.77 tff(9840,plain,
% 1.94/1.77 (xuntil22(s56) | node20(s56)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9839, 9071, 9833])).
% 1.94/1.77 tff(9841,plain,
% 1.94/1.77 (xuntil22(s56)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9840, 8597])).
% 1.94/1.77 tff(9842,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9843,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9844,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s56, s57)) | (~xuntil22(s56)) | until21(s57)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9843, 9842])).
% 1.94/1.77 tff(9845,plain,
% 1.94/1.77 ((~xuntil22(s56)) | until21(s57)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9844, 4891, 9089])).
% 1.94/1.77 tff(9846,plain,
% 1.94/1.77 (until21(s57)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9845, 9841])).
% 1.94/1.77 tff(9847,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9848,plain,
% 1.94/1.77 ((node20(s57) | (~until21(s57)) | xuntil22(s57)) <=> (xuntil22(s57) | node20(s57) | (~until21(s57)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9849,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9848])).
% 1.94/1.77 tff(9850,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9849, 9847])).
% 1.94/1.77 tff(9851,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s57) | (~until21(s57)) | xuntil22(s57))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9852,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s57) | node20(s57) | (~until21(s57))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9851, 9850])).
% 1.94/1.77 tff(9853,plain,
% 1.94/1.77 (xuntil22(s57)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9852, 9071, 9846, 8588])).
% 1.94/1.77 tff(9854,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9855,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9856,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s57, s58)) | (~xuntil22(s57)) | until21(s58)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9855, 9854])).
% 1.94/1.77 tff(9857,plain,
% 1.94/1.77 ((~xuntil22(s57)) | until21(s58)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9856, 4986, 9089])).
% 1.94/1.77 tff(9858,plain,
% 1.94/1.77 (until21(s58)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9857, 9853])).
% 1.94/1.77 tff(9859,plain,
% 1.94/1.77 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s58) | (~node20(s58)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s58) | (~node20(s58)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9860,plain,
% 1.94/1.77 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s58) | (~node20(s58)))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9861,plain,
% 1.94/1.77 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s58) | (~node20(s58))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9860, 9859])).
% 1.94/1.77 tff(9862,plain,
% 1.94/1.77 (~node20(s58)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9861, 8254, 8579])).
% 1.94/1.77 tff(9863,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9864,plain,
% 1.94/1.77 ((node20(s58) | (~until21(s58)) | xuntil22(s58)) <=> (xuntil22(s58) | node20(s58) | (~until21(s58)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9865,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9864])).
% 1.94/1.77 tff(9866,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9865, 9863])).
% 1.94/1.77 tff(9867,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s58) | (~until21(s58)) | xuntil22(s58))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9868,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s58) | node20(s58) | (~until21(s58))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9867, 9866])).
% 1.94/1.77 tff(9869,plain,
% 1.94/1.77 (xuntil22(s58) | (~until21(s58))),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9868, 9071, 9862])).
% 1.94/1.77 tff(9870,plain,
% 1.94/1.77 (xuntil22(s58)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9869, 9858])).
% 1.94/1.77 tff(9871,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9872,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9873,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s58, s59)) | (~xuntil22(s58)) | until21(s59)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9872, 9871])).
% 1.94/1.77 tff(9874,plain,
% 1.94/1.77 ((~xuntil22(s58)) | until21(s59)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9873, 5050, 9089])).
% 1.94/1.77 tff(9875,plain,
% 1.94/1.77 (until21(s59)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9874, 9870])).
% 1.94/1.77 tff(9876,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9877,plain,
% 1.94/1.77 ((node20(s59) | (~until21(s59)) | xuntil22(s59)) <=> (xuntil22(s59) | node20(s59) | (~until21(s59)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9878,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9877])).
% 1.94/1.77 tff(9879,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9878, 9876])).
% 1.94/1.77 tff(9880,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s59) | (~until21(s59)) | xuntil22(s59))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9881,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s59) | node20(s59) | (~until21(s59))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9880, 9879])).
% 1.94/1.77 tff(9882,plain,
% 1.94/1.77 (xuntil22(s59)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9881, 9071, 9875, 8572])).
% 1.94/1.77 tff(9883,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9884,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9885,plain,
% 1.94/1.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s59, s60)) | (~xuntil22(s59)) | until21(s60)),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9884, 9883])).
% 1.94/1.77 tff(9886,plain,
% 1.94/1.77 ((~xuntil22(s59)) | until21(s60)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9885, 5125, 9089])).
% 1.94/1.77 tff(9887,plain,
% 1.94/1.77 (until21(s60)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9886, 9882])).
% 1.94/1.77 tff(9888,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9889,plain,
% 1.94/1.77 ((node20(s60) | (~until21(s60)) | xuntil22(s60)) <=> (xuntil22(s60) | node20(s60) | (~until21(s60)))),
% 1.94/1.77 inference(rewrite,[status(thm)],[])).
% 1.94/1.77 tff(9890,plain,
% 1.94/1.77 (((~![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))))),
% 1.94/1.77 inference(monotonicity,[status(thm)],[9889])).
% 1.94/1.77 tff(9891,plain,
% 1.94/1.77 (((~![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)))),
% 1.94/1.77 inference(transitivity,[status(thm)],[9890, 9888])).
% 1.94/1.77 tff(9892,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s60) | (~until21(s60)) | xuntil22(s60))),
% 1.94/1.77 inference(quant_inst,[status(thm)],[])).
% 1.94/1.77 tff(9893,plain,
% 1.94/1.77 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s60) | node20(s60) | (~until21(s60))),
% 1.94/1.77 inference(modus_ponens,[status(thm)],[9892, 9891])).
% 1.94/1.77 tff(9894,plain,
% 1.94/1.77 (xuntil22(s60) | node20(s60)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9893, 9071, 9887])).
% 1.94/1.77 tff(9895,plain,
% 1.94/1.77 (xuntil22(s60)),
% 1.94/1.77 inference(unit_resolution,[status(thm)],[9894, 8564])).
% 1.94/1.77 tff(9896,plain,
% 1.94/1.77 (((~![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))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9897,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9898,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s60, s61)) | (~xuntil22(s60)) | until21(s61)),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9897, 9896])).
% 1.94/1.78 tff(9899,plain,
% 1.94/1.78 ((~xuntil22(s60)) | until21(s61)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9898, 5214, 9089])).
% 1.94/1.78 tff(9900,plain,
% 1.94/1.78 (until21(s61)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9899, 9895])).
% 1.94/1.78 tff(9901,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9902,plain,
% 1.94/1.78 ((node20(s61) | (~until21(s61)) | xuntil22(s61)) <=> (xuntil22(s61) | node20(s61) | (~until21(s61)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9903,plain,
% 1.94/1.78 (((~![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))))),
% 1.94/1.78 inference(monotonicity,[status(thm)],[9902])).
% 1.94/1.78 tff(9904,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(transitivity,[status(thm)],[9903, 9901])).
% 1.94/1.78 tff(9905,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s61) | (~until21(s61)) | xuntil22(s61))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9906,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s61) | node20(s61) | (~until21(s61))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9905, 9904])).
% 1.94/1.78 tff(9907,plain,
% 1.94/1.78 (xuntil22(s61)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9906, 9071, 9900, 8555])).
% 1.94/1.78 tff(9908,plain,
% 1.94/1.78 (((~![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))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9909,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9910,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s61, s62)) | (~xuntil22(s61)) | until21(s62)),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 1.94/1.78 tff(9911,plain,
% 1.94/1.78 ((~xuntil22(s61)) | until21(s62)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9910, 5281, 9089])).
% 1.94/1.78 tff(9912,plain,
% 1.94/1.78 (until21(s62)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9911, 9907])).
% 1.94/1.78 tff(9913,plain,
% 1.94/1.78 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s62) | (~node20(s62)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s62) | (~node20(s62)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9914,plain,
% 1.94/1.78 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s62) | (~node20(s62)))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9915,plain,
% 1.94/1.78 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s62) | (~node20(s62))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9914, 9913])).
% 1.94/1.78 tff(9916,plain,
% 1.94/1.78 (~node20(s62)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9915, 8254, 8546])).
% 1.94/1.78 tff(9917,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9918,plain,
% 1.94/1.78 ((node20(s62) | (~until21(s62)) | xuntil22(s62)) <=> (xuntil22(s62) | node20(s62) | (~until21(s62)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9919,plain,
% 1.94/1.78 (((~![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))))),
% 1.94/1.78 inference(monotonicity,[status(thm)],[9918])).
% 1.94/1.78 tff(9920,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(transitivity,[status(thm)],[9919, 9917])).
% 1.94/1.78 tff(9921,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s62) | (~until21(s62)) | xuntil22(s62))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9922,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s62) | node20(s62) | (~until21(s62))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 1.94/1.78 tff(9923,plain,
% 1.94/1.78 (xuntil22(s62) | (~until21(s62))),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9922, 9071, 9916])).
% 1.94/1.78 tff(9924,plain,
% 1.94/1.78 (xuntil22(s62)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9923, 9912])).
% 1.94/1.78 tff(9925,plain,
% 1.94/1.78 (((~![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))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9926,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9927,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s62, s63)) | (~xuntil22(s62)) | until21(s63)),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 1.94/1.78 tff(9928,plain,
% 1.94/1.78 ((~xuntil22(s62)) | until21(s63)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9927, 5380, 9089])).
% 1.94/1.78 tff(9929,plain,
% 1.94/1.78 (until21(s63)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9928, 9924])).
% 1.94/1.78 tff(9930,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9931,plain,
% 1.94/1.78 ((node20(s63) | (~until21(s63)) | xuntil22(s63)) <=> (xuntil22(s63) | node20(s63) | (~until21(s63)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9932,plain,
% 1.94/1.78 (((~![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))))),
% 1.94/1.78 inference(monotonicity,[status(thm)],[9931])).
% 1.94/1.78 tff(9933,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(transitivity,[status(thm)],[9932, 9930])).
% 1.94/1.78 tff(9934,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s63) | (~until21(s63)) | xuntil22(s63))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9935,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s63) | node20(s63) | (~until21(s63))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 1.94/1.78 tff(9936,plain,
% 1.94/1.78 (xuntil22(s63)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9935, 9071, 9929, 8539])).
% 1.94/1.78 tff(9937,plain,
% 1.94/1.78 (((~![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))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9938,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9939,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s63, s64)) | (~xuntil22(s63)) | until21(s64)),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 1.94/1.78 tff(9940,plain,
% 1.94/1.78 ((~xuntil22(s63)) | until21(s64)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9939, 5458, 9089])).
% 1.94/1.78 tff(9941,plain,
% 1.94/1.78 (until21(s64)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9940, 9936])).
% 1.94/1.78 tff(9942,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9943,plain,
% 1.94/1.78 ((node20(s64) | (~until21(s64)) | xuntil22(s64)) <=> (xuntil22(s64) | node20(s64) | (~until21(s64)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9944,plain,
% 1.94/1.78 (((~![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))))),
% 1.94/1.78 inference(monotonicity,[status(thm)],[9943])).
% 1.94/1.78 tff(9945,plain,
% 1.94/1.78 (((~![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)))),
% 1.94/1.78 inference(transitivity,[status(thm)],[9944, 9942])).
% 1.94/1.78 tff(9946,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s64) | (~until21(s64)) | xuntil22(s64))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9947,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s64) | node20(s64) | (~until21(s64))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 1.94/1.78 tff(9948,plain,
% 1.94/1.78 (xuntil22(s64) | node20(s64)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9947, 9071, 9941])).
% 1.94/1.78 tff(9949,plain,
% 1.94/1.78 (xuntil22(s64)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9948, 8531])).
% 1.94/1.78 tff(9950,plain,
% 1.94/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9951,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9952,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s64, s65)) | (~xuntil22(s64)) | until21(s65)),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 1.94/1.78 tff(9953,plain,
% 1.94/1.78 ((~xuntil22(s64)) | until21(s65)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9952, 5519, 9089])).
% 1.94/1.78 tff(9954,plain,
% 1.94/1.78 (until21(s65)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9953, 9949])).
% 1.94/1.78 tff(9955,plain,
% 1.94/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s65) | node20(s65) | (~until21(s65)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s65) | node20(s65) | (~until21(s65)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9956,plain,
% 1.94/1.78 ((node20(s65) | (~until21(s65)) | xuntil22(s65)) <=> (xuntil22(s65) | node20(s65) | (~until21(s65)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9957,plain,
% 1.94/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s65) | (~until21(s65)) | xuntil22(s65))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s65) | node20(s65) | (~until21(s65))))),
% 1.94/1.78 inference(monotonicity,[status(thm)],[9956])).
% 1.94/1.78 tff(9958,plain,
% 1.94/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s65) | (~until21(s65)) | xuntil22(s65))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s65) | node20(s65) | (~until21(s65)))),
% 1.94/1.78 inference(transitivity,[status(thm)],[9957, 9955])).
% 1.94/1.78 tff(9959,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s65) | (~until21(s65)) | xuntil22(s65))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9960,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s65) | node20(s65) | (~until21(s65))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9959, 9958])).
% 1.94/1.78 tff(9961,plain,
% 1.94/1.78 (xuntil22(s65)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9960, 9071, 9954, 8522])).
% 1.94/1.78 tff(9962,plain,
% 1.94/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9963,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9964,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s65, s66)) | (~xuntil22(s65)) | until21(s66)),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9963, 9962])).
% 1.94/1.78 tff(9965,plain,
% 1.94/1.78 ((~xuntil22(s65)) | until21(s66)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9964, 5614, 9089])).
% 1.94/1.78 tff(9966,plain,
% 1.94/1.78 (until21(s66)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9965, 9961])).
% 1.94/1.78 tff(9967,plain,
% 1.94/1.78 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s66) | (~node20(s66)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s66) | (~node20(s66)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9968,plain,
% 1.94/1.78 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s66) | (~node20(s66)))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9969,plain,
% 1.94/1.78 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s66) | (~node20(s66))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 1.94/1.78 tff(9970,plain,
% 1.94/1.78 (~node20(s66)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9969, 8254, 8513])).
% 1.94/1.78 tff(9971,plain,
% 1.94/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s66) | node20(s66) | (~until21(s66)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s66) | node20(s66) | (~until21(s66)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9972,plain,
% 1.94/1.78 ((node20(s66) | (~until21(s66)) | xuntil22(s66)) <=> (xuntil22(s66) | node20(s66) | (~until21(s66)))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9973,plain,
% 1.94/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s66) | (~until21(s66)) | xuntil22(s66))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s66) | node20(s66) | (~until21(s66))))),
% 1.94/1.78 inference(monotonicity,[status(thm)],[9972])).
% 1.94/1.78 tff(9974,plain,
% 1.94/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s66) | (~until21(s66)) | xuntil22(s66))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s66) | node20(s66) | (~until21(s66)))),
% 1.94/1.78 inference(transitivity,[status(thm)],[9973, 9971])).
% 1.94/1.78 tff(9975,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s66) | (~until21(s66)) | xuntil22(s66))),
% 1.94/1.78 inference(quant_inst,[status(thm)],[])).
% 1.94/1.78 tff(9976,plain,
% 1.94/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s66) | node20(s66) | (~until21(s66))),
% 1.94/1.78 inference(modus_ponens,[status(thm)],[9975, 9974])).
% 1.94/1.78 tff(9977,plain,
% 1.94/1.78 (xuntil22(s66) | (~until21(s66))),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9976, 9071, 9970])).
% 1.94/1.78 tff(9978,plain,
% 1.94/1.78 (xuntil22(s66)),
% 1.94/1.78 inference(unit_resolution,[status(thm)],[9977, 9966])).
% 1.94/1.78 tff(9979,plain,
% 1.94/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67))),
% 1.94/1.78 inference(rewrite,[status(thm)],[])).
% 1.94/1.78 tff(9980,plain,
% 1.94/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(9981,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s66, s67)) | (~xuntil22(s66)) | until21(s67)),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[9980, 9979])).
% 1.95/1.78 tff(9982,plain,
% 1.95/1.78 ((~xuntil22(s66)) | until21(s67)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[9981, 5678, 9089])).
% 1.95/1.78 tff(9983,plain,
% 1.95/1.78 (until21(s67)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[9982, 9978])).
% 1.95/1.78 tff(9984,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s67) | node20(s67) | (~until21(s67)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s67) | node20(s67) | (~until21(s67)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(9985,plain,
% 1.95/1.78 ((node20(s67) | (~until21(s67)) | xuntil22(s67)) <=> (xuntil22(s67) | node20(s67) | (~until21(s67)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(9986,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s67) | (~until21(s67)) | xuntil22(s67))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s67) | node20(s67) | (~until21(s67))))),
% 1.95/1.78 inference(monotonicity,[status(thm)],[9985])).
% 1.95/1.78 tff(9987,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s67) | (~until21(s67)) | xuntil22(s67))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s67) | node20(s67) | (~until21(s67)))),
% 1.95/1.78 inference(transitivity,[status(thm)],[9986, 9984])).
% 1.95/1.78 tff(9988,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s67) | (~until21(s67)) | xuntil22(s67))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(9989,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s67) | node20(s67) | (~until21(s67))),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[9988, 9987])).
% 1.95/1.78 tff(9990,plain,
% 1.95/1.78 (xuntil22(s67)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[9989, 9071, 9983, 8506])).
% 1.95/1.78 tff(9991,plain,
% 1.95/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(9992,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(9993,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s67, s68)) | (~xuntil22(s67)) | until21(s68)),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 1.95/1.78 tff(9994,plain,
% 1.95/1.78 ((~xuntil22(s67)) | until21(s68)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[9993, 5753, 9089])).
% 1.95/1.78 tff(9995,plain,
% 1.95/1.78 (until21(s68)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[9994, 9990])).
% 1.95/1.78 tff(9996,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s68) | node20(s68) | (~until21(s68)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s68) | node20(s68) | (~until21(s68)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(9997,plain,
% 1.95/1.78 ((node20(s68) | (~until21(s68)) | xuntil22(s68)) <=> (xuntil22(s68) | node20(s68) | (~until21(s68)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(9998,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s68) | (~until21(s68)) | xuntil22(s68))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s68) | node20(s68) | (~until21(s68))))),
% 1.95/1.78 inference(monotonicity,[status(thm)],[9997])).
% 1.95/1.78 tff(9999,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s68) | (~until21(s68)) | xuntil22(s68))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s68) | node20(s68) | (~until21(s68)))),
% 1.95/1.78 inference(transitivity,[status(thm)],[9998, 9996])).
% 1.95/1.78 tff(10000,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s68) | (~until21(s68)) | xuntil22(s68))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10001,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s68) | node20(s68) | (~until21(s68))),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10000, 9999])).
% 1.95/1.78 tff(10002,plain,
% 1.95/1.78 (xuntil22(s68) | node20(s68)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10001, 9071, 9995])).
% 1.95/1.78 tff(10003,plain,
% 1.95/1.78 (xuntil22(s68)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10002, 8498])).
% 1.95/1.78 tff(10004,plain,
% 1.95/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10005,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10006,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s68, s69)) | (~xuntil22(s68)) | until21(s69)),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10005, 10004])).
% 1.95/1.78 tff(10007,plain,
% 1.95/1.78 ((~xuntil22(s68)) | until21(s69)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10006, 5842, 9089])).
% 1.95/1.78 tff(10008,plain,
% 1.95/1.78 (until21(s69)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10007, 10003])).
% 1.95/1.78 tff(10009,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s69) | node20(s69) | (~until21(s69)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s69) | node20(s69) | (~until21(s69)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10010,plain,
% 1.95/1.78 ((node20(s69) | (~until21(s69)) | xuntil22(s69)) <=> (xuntil22(s69) | node20(s69) | (~until21(s69)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10011,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s69) | (~until21(s69)) | xuntil22(s69))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s69) | node20(s69) | (~until21(s69))))),
% 1.95/1.78 inference(monotonicity,[status(thm)],[10010])).
% 1.95/1.78 tff(10012,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s69) | (~until21(s69)) | xuntil22(s69))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s69) | node20(s69) | (~until21(s69)))),
% 1.95/1.78 inference(transitivity,[status(thm)],[10011, 10009])).
% 1.95/1.78 tff(10013,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s69) | (~until21(s69)) | xuntil22(s69))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10014,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s69) | node20(s69) | (~until21(s69))),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 1.95/1.78 tff(10015,plain,
% 1.95/1.78 (xuntil22(s69)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10014, 9071, 10008, 8489])).
% 1.95/1.78 tff(10016,plain,
% 1.95/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10017,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10018,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s69, s70)) | (~xuntil22(s69)) | until21(s70)),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 1.95/1.78 tff(10019,plain,
% 1.95/1.78 ((~xuntil22(s69)) | until21(s70)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10018, 5909, 9089])).
% 1.95/1.78 tff(10020,plain,
% 1.95/1.78 (until21(s70)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10019, 10015])).
% 1.95/1.78 tff(10021,plain,
% 1.95/1.78 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s70) | (~node20(s70)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s70) | (~node20(s70)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10022,plain,
% 1.95/1.78 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s70) | (~node20(s70)))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10023,plain,
% 1.95/1.78 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s70) | (~node20(s70))),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10022, 10021])).
% 1.95/1.78 tff(10024,plain,
% 1.95/1.78 (~node20(s70)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10023, 8254, 8480])).
% 1.95/1.78 tff(10025,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s70) | node20(s70) | (~until21(s70)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s70) | node20(s70) | (~until21(s70)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10026,plain,
% 1.95/1.78 ((node20(s70) | (~until21(s70)) | xuntil22(s70)) <=> (xuntil22(s70) | node20(s70) | (~until21(s70)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10027,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s70) | (~until21(s70)) | xuntil22(s70))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s70) | node20(s70) | (~until21(s70))))),
% 1.95/1.78 inference(monotonicity,[status(thm)],[10026])).
% 1.95/1.78 tff(10028,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s70) | (~until21(s70)) | xuntil22(s70))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s70) | node20(s70) | (~until21(s70)))),
% 1.95/1.78 inference(transitivity,[status(thm)],[10027, 10025])).
% 1.95/1.78 tff(10029,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s70) | (~until21(s70)) | xuntil22(s70))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10030,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s70) | node20(s70) | (~until21(s70))),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 1.95/1.78 tff(10031,plain,
% 1.95/1.78 (xuntil22(s70) | (~until21(s70))),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10030, 9071, 10024])).
% 1.95/1.78 tff(10032,plain,
% 1.95/1.78 (xuntil22(s70)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10031, 10020])).
% 1.95/1.78 tff(10033,plain,
% 1.95/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10034,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10035,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s70, s71)) | (~xuntil22(s70)) | until21(s71)),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 1.95/1.78 tff(10036,plain,
% 1.95/1.78 ((~xuntil22(s70)) | until21(s71)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10035, 6008, 9089])).
% 1.95/1.78 tff(10037,plain,
% 1.95/1.78 (until21(s71)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10036, 10032])).
% 1.95/1.78 tff(10038,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s71) | node20(s71) | (~until21(s71)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s71) | node20(s71) | (~until21(s71)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10039,plain,
% 1.95/1.78 ((node20(s71) | (~until21(s71)) | xuntil22(s71)) <=> (xuntil22(s71) | node20(s71) | (~until21(s71)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10040,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s71) | (~until21(s71)) | xuntil22(s71))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s71) | node20(s71) | (~until21(s71))))),
% 1.95/1.78 inference(monotonicity,[status(thm)],[10039])).
% 1.95/1.78 tff(10041,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s71) | (~until21(s71)) | xuntil22(s71))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s71) | node20(s71) | (~until21(s71)))),
% 1.95/1.78 inference(transitivity,[status(thm)],[10040, 10038])).
% 1.95/1.78 tff(10042,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s71) | (~until21(s71)) | xuntil22(s71))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10043,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s71) | node20(s71) | (~until21(s71))),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10042, 10041])).
% 1.95/1.78 tff(10044,plain,
% 1.95/1.78 (xuntil22(s71)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10043, 9071, 10037, 8473])).
% 1.95/1.78 tff(10045,plain,
% 1.95/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10046,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10047,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s71, s72)) | (~xuntil22(s71)) | until21(s72)),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 1.95/1.78 tff(10048,plain,
% 1.95/1.78 ((~xuntil22(s71)) | until21(s72)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10047, 6086, 9089])).
% 1.95/1.78 tff(10049,plain,
% 1.95/1.78 (until21(s72)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10048, 10044])).
% 1.95/1.78 tff(10050,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s72) | node20(s72) | (~until21(s72)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s72) | node20(s72) | (~until21(s72)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10051,plain,
% 1.95/1.78 ((node20(s72) | (~until21(s72)) | xuntil22(s72)) <=> (xuntil22(s72) | node20(s72) | (~until21(s72)))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10052,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s72) | (~until21(s72)) | xuntil22(s72))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s72) | node20(s72) | (~until21(s72))))),
% 1.95/1.78 inference(monotonicity,[status(thm)],[10051])).
% 1.95/1.78 tff(10053,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s72) | (~until21(s72)) | xuntil22(s72))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s72) | node20(s72) | (~until21(s72)))),
% 1.95/1.78 inference(transitivity,[status(thm)],[10052, 10050])).
% 1.95/1.78 tff(10054,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s72) | (~until21(s72)) | xuntil22(s72))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10055,plain,
% 1.95/1.78 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s72) | node20(s72) | (~until21(s72))),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10054, 10053])).
% 1.95/1.78 tff(10056,plain,
% 1.95/1.78 (xuntil22(s72) | node20(s72)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10055, 9071, 10049])).
% 1.95/1.78 tff(10057,plain,
% 1.95/1.78 (xuntil22(s72)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10056, 8465])).
% 1.95/1.78 tff(10058,plain,
% 1.95/1.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73))),
% 1.95/1.78 inference(rewrite,[status(thm)],[])).
% 1.95/1.78 tff(10059,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73))),
% 1.95/1.78 inference(quant_inst,[status(thm)],[])).
% 1.95/1.78 tff(10060,plain,
% 1.95/1.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s72, s73)) | (~xuntil22(s72)) | until21(s73)),
% 1.95/1.78 inference(modus_ponens,[status(thm)],[10059, 10058])).
% 1.95/1.78 tff(10061,plain,
% 1.95/1.78 ((~xuntil22(s72)) | until21(s73)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10060, 6147, 9089])).
% 1.95/1.78 tff(10062,plain,
% 1.95/1.78 (until21(s73)),
% 1.95/1.78 inference(unit_resolution,[status(thm)],[10061, 10057])).
% 1.95/1.78 tff(10063,plain,
% 1.95/1.78 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s73) | node20(s73) | (~until21(s73)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s73) | node20(s73) | (~until21(s73)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10064,plain,
% 1.95/1.79 ((node20(s73) | (~until21(s73)) | xuntil22(s73)) <=> (xuntil22(s73) | node20(s73) | (~until21(s73)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10065,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s73) | (~until21(s73)) | xuntil22(s73))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s73) | node20(s73) | (~until21(s73))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10064])).
% 1.95/1.79 tff(10066,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s73) | (~until21(s73)) | xuntil22(s73))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s73) | node20(s73) | (~until21(s73)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10065, 10063])).
% 1.95/1.79 tff(10067,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s73) | (~until21(s73)) | xuntil22(s73))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10068,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s73) | node20(s73) | (~until21(s73))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10067, 10066])).
% 1.95/1.79 tff(10069,plain,
% 1.95/1.79 (xuntil22(s73)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10068, 9071, 10062, 8456])).
% 1.95/1.79 tff(10070,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10071,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10072,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s73, s74)) | (~xuntil22(s73)) | until21(s74)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10071, 10070])).
% 1.95/1.79 tff(10073,plain,
% 1.95/1.79 ((~xuntil22(s73)) | until21(s74)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10072, 6242, 9089])).
% 1.95/1.79 tff(10074,plain,
% 1.95/1.79 (until21(s74)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10073, 10069])).
% 1.95/1.79 tff(10075,plain,
% 1.95/1.79 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s74) | (~node20(s74)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s74) | (~node20(s74)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10076,plain,
% 1.95/1.79 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s74) | (~node20(s74)))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10077,plain,
% 1.95/1.79 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s74) | (~node20(s74))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 1.95/1.79 tff(10078,plain,
% 1.95/1.79 (~node20(s74)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10077, 8254, 8447])).
% 1.95/1.79 tff(10079,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s74) | node20(s74) | (~until21(s74)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s74) | node20(s74) | (~until21(s74)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10080,plain,
% 1.95/1.79 ((node20(s74) | (~until21(s74)) | xuntil22(s74)) <=> (xuntil22(s74) | node20(s74) | (~until21(s74)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10081,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s74) | (~until21(s74)) | xuntil22(s74))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s74) | node20(s74) | (~until21(s74))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10080])).
% 1.95/1.79 tff(10082,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s74) | (~until21(s74)) | xuntil22(s74))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s74) | node20(s74) | (~until21(s74)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10081, 10079])).
% 1.95/1.79 tff(10083,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s74) | (~until21(s74)) | xuntil22(s74))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10084,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s74) | node20(s74) | (~until21(s74))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10083, 10082])).
% 1.95/1.79 tff(10085,plain,
% 1.95/1.79 (xuntil22(s74) | (~until21(s74))),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10084, 9071, 10078])).
% 1.95/1.79 tff(10086,plain,
% 1.95/1.79 (xuntil22(s74)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10085, 10074])).
% 1.95/1.79 tff(10087,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10088,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10089,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s74, s75)) | (~xuntil22(s74)) | until21(s75)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 1.95/1.79 tff(10090,plain,
% 1.95/1.79 ((~xuntil22(s74)) | until21(s75)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10089, 6306, 9089])).
% 1.95/1.79 tff(10091,plain,
% 1.95/1.79 (until21(s75)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10090, 10086])).
% 1.95/1.79 tff(10092,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s75) | node20(s75) | (~until21(s75)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s75) | node20(s75) | (~until21(s75)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10093,plain,
% 1.95/1.79 ((node20(s75) | (~until21(s75)) | xuntil22(s75)) <=> (xuntil22(s75) | node20(s75) | (~until21(s75)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10094,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s75) | (~until21(s75)) | xuntil22(s75))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s75) | node20(s75) | (~until21(s75))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10093])).
% 1.95/1.79 tff(10095,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s75) | (~until21(s75)) | xuntil22(s75))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s75) | node20(s75) | (~until21(s75)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10094, 10092])).
% 1.95/1.79 tff(10096,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s75) | (~until21(s75)) | xuntil22(s75))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10097,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s75) | node20(s75) | (~until21(s75))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 1.95/1.79 tff(10098,plain,
% 1.95/1.79 (xuntil22(s75)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10097, 9071, 10091, 8440])).
% 1.95/1.79 tff(10099,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10100,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10101,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s75, s76)) | (~xuntil22(s75)) | until21(s76)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 1.95/1.79 tff(10102,plain,
% 1.95/1.79 ((~xuntil22(s75)) | until21(s76)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10101, 6381, 9089])).
% 1.95/1.79 tff(10103,plain,
% 1.95/1.79 (until21(s76)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10102, 10098])).
% 1.95/1.79 tff(10104,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s76) | node20(s76) | (~until21(s76)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s76) | node20(s76) | (~until21(s76)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10105,plain,
% 1.95/1.79 ((node20(s76) | (~until21(s76)) | xuntil22(s76)) <=> (xuntil22(s76) | node20(s76) | (~until21(s76)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10106,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s76) | (~until21(s76)) | xuntil22(s76))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s76) | node20(s76) | (~until21(s76))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10105])).
% 1.95/1.79 tff(10107,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s76) | (~until21(s76)) | xuntil22(s76))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s76) | node20(s76) | (~until21(s76)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10106, 10104])).
% 1.95/1.79 tff(10108,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s76) | (~until21(s76)) | xuntil22(s76))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10109,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s76) | node20(s76) | (~until21(s76))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 1.95/1.79 tff(10110,plain,
% 1.95/1.79 (xuntil22(s76) | node20(s76)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10109, 9071, 10103])).
% 1.95/1.79 tff(10111,plain,
% 1.95/1.79 (xuntil22(s76)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10110, 8432])).
% 1.95/1.79 tff(10112,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10113,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10114,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s76, s77)) | (~xuntil22(s76)) | until21(s77)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10113, 10112])).
% 1.95/1.79 tff(10115,plain,
% 1.95/1.79 ((~xuntil22(s76)) | until21(s77)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10114, 6470, 9089])).
% 1.95/1.79 tff(10116,plain,
% 1.95/1.79 (until21(s77)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10115, 10111])).
% 1.95/1.79 tff(10117,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s77) | node20(s77) | (~until21(s77)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s77) | node20(s77) | (~until21(s77)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10118,plain,
% 1.95/1.79 ((node20(s77) | (~until21(s77)) | xuntil22(s77)) <=> (xuntil22(s77) | node20(s77) | (~until21(s77)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10119,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s77) | (~until21(s77)) | xuntil22(s77))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s77) | node20(s77) | (~until21(s77))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10118])).
% 1.95/1.79 tff(10120,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s77) | (~until21(s77)) | xuntil22(s77))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s77) | node20(s77) | (~until21(s77)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10119, 10117])).
% 1.95/1.79 tff(10121,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s77) | (~until21(s77)) | xuntil22(s77))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10122,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s77) | node20(s77) | (~until21(s77))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10121, 10120])).
% 1.95/1.79 tff(10123,plain,
% 1.95/1.79 (xuntil22(s77)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10122, 9071, 10116, 8423])).
% 1.95/1.79 tff(10124,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10125,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10126,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s77, s78)) | (~xuntil22(s77)) | until21(s78)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 1.95/1.79 tff(10127,plain,
% 1.95/1.79 ((~xuntil22(s77)) | until21(s78)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10126, 6537, 9089])).
% 1.95/1.79 tff(10128,plain,
% 1.95/1.79 (until21(s78)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10127, 10123])).
% 1.95/1.79 tff(10129,plain,
% 1.95/1.79 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s78) | (~node20(s78)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s78) | (~node20(s78)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10130,plain,
% 1.95/1.79 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s78) | (~node20(s78)))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10131,plain,
% 1.95/1.79 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s78) | (~node20(s78))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10130, 10129])).
% 1.95/1.79 tff(10132,plain,
% 1.95/1.79 (~node20(s78)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10131, 8254, 8414])).
% 1.95/1.79 tff(10133,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s78) | node20(s78) | (~until21(s78)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s78) | node20(s78) | (~until21(s78)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10134,plain,
% 1.95/1.79 ((node20(s78) | (~until21(s78)) | xuntil22(s78)) <=> (xuntil22(s78) | node20(s78) | (~until21(s78)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10135,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s78) | (~until21(s78)) | xuntil22(s78))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s78) | node20(s78) | (~until21(s78))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10134])).
% 1.95/1.79 tff(10136,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s78) | (~until21(s78)) | xuntil22(s78))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s78) | node20(s78) | (~until21(s78)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10135, 10133])).
% 1.95/1.79 tff(10137,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s78) | (~until21(s78)) | xuntil22(s78))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10138,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s78) | node20(s78) | (~until21(s78))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10137, 10136])).
% 1.95/1.79 tff(10139,plain,
% 1.95/1.79 (xuntil22(s78) | (~until21(s78))),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10138, 9071, 10132])).
% 1.95/1.79 tff(10140,plain,
% 1.95/1.79 (xuntil22(s78)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10139, 10128])).
% 1.95/1.79 tff(10141,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10142,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10143,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s78, s79)) | (~xuntil22(s78)) | until21(s79)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10142, 10141])).
% 1.95/1.79 tff(10144,plain,
% 1.95/1.79 ((~xuntil22(s78)) | until21(s79)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10143, 6636, 9089])).
% 1.95/1.79 tff(10145,plain,
% 1.95/1.79 (until21(s79)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10144, 10140])).
% 1.95/1.79 tff(10146,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s79) | node20(s79) | (~until21(s79)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s79) | node20(s79) | (~until21(s79)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10147,plain,
% 1.95/1.79 ((node20(s79) | (~until21(s79)) | xuntil22(s79)) <=> (xuntil22(s79) | node20(s79) | (~until21(s79)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10148,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s79) | (~until21(s79)) | xuntil22(s79))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s79) | node20(s79) | (~until21(s79))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10147])).
% 1.95/1.79 tff(10149,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s79) | (~until21(s79)) | xuntil22(s79))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s79) | node20(s79) | (~until21(s79)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10148, 10146])).
% 1.95/1.79 tff(10150,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s79) | (~until21(s79)) | xuntil22(s79))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10151,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s79) | node20(s79) | (~until21(s79))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10150, 10149])).
% 1.95/1.79 tff(10152,plain,
% 1.95/1.79 (xuntil22(s79)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10151, 9071, 10145, 8407])).
% 1.95/1.79 tff(10153,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10154,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10155,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s79, s80)) | (~xuntil22(s79)) | until21(s80)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10154, 10153])).
% 1.95/1.79 tff(10156,plain,
% 1.95/1.79 ((~xuntil22(s79)) | until21(s80)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10155, 6714, 9089])).
% 1.95/1.79 tff(10157,plain,
% 1.95/1.79 (until21(s80)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10156, 10152])).
% 1.95/1.79 tff(10158,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s80) | node20(s80) | (~until21(s80)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s80) | node20(s80) | (~until21(s80)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10159,plain,
% 1.95/1.79 ((node20(s80) | (~until21(s80)) | xuntil22(s80)) <=> (xuntil22(s80) | node20(s80) | (~until21(s80)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10160,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s80) | (~until21(s80)) | xuntil22(s80))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s80) | node20(s80) | (~until21(s80))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10159])).
% 1.95/1.79 tff(10161,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s80) | (~until21(s80)) | xuntil22(s80))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s80) | node20(s80) | (~until21(s80)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10160, 10158])).
% 1.95/1.79 tff(10162,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s80) | (~until21(s80)) | xuntil22(s80))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10163,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s80) | node20(s80) | (~until21(s80))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10162, 10161])).
% 1.95/1.79 tff(10164,plain,
% 1.95/1.79 (xuntil22(s80) | node20(s80)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10163, 9071, 10157])).
% 1.95/1.79 tff(10165,plain,
% 1.95/1.79 (xuntil22(s80)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10164, 8399])).
% 1.95/1.79 tff(10166,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10167,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10168,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s80, s81)) | (~xuntil22(s80)) | until21(s81)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10167, 10166])).
% 1.95/1.79 tff(10169,plain,
% 1.95/1.79 ((~xuntil22(s80)) | until21(s81)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10168, 6775, 9089])).
% 1.95/1.79 tff(10170,plain,
% 1.95/1.79 (until21(s81)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10169, 10165])).
% 1.95/1.79 tff(10171,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s81) | node20(s81) | (~until21(s81)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s81) | node20(s81) | (~until21(s81)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10172,plain,
% 1.95/1.79 ((node20(s81) | (~until21(s81)) | xuntil22(s81)) <=> (xuntil22(s81) | node20(s81) | (~until21(s81)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10173,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s81) | (~until21(s81)) | xuntil22(s81))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s81) | node20(s81) | (~until21(s81))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10172])).
% 1.95/1.79 tff(10174,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s81) | (~until21(s81)) | xuntil22(s81))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s81) | node20(s81) | (~until21(s81)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10173, 10171])).
% 1.95/1.79 tff(10175,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s81) | (~until21(s81)) | xuntil22(s81))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10176,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s81) | node20(s81) | (~until21(s81))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10175, 10174])).
% 1.95/1.79 tff(10177,plain,
% 1.95/1.79 (xuntil22(s81)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10176, 9071, 10170, 8390])).
% 1.95/1.79 tff(10178,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10179,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10180,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s81, s82)) | (~xuntil22(s81)) | until21(s82)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10179, 10178])).
% 1.95/1.79 tff(10181,plain,
% 1.95/1.79 ((~xuntil22(s81)) | until21(s82)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10180, 6870, 9089])).
% 1.95/1.79 tff(10182,plain,
% 1.95/1.79 (until21(s82)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10181, 10177])).
% 1.95/1.79 tff(10183,plain,
% 1.95/1.79 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s82) | (~node20(s82)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s82) | (~node20(s82)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10184,plain,
% 1.95/1.79 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s82) | (~node20(s82)))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10185,plain,
% 1.95/1.79 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s82) | (~node20(s82))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 1.95/1.79 tff(10186,plain,
% 1.95/1.79 (~node20(s82)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10185, 8254, 8381])).
% 1.95/1.79 tff(10187,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s82) | node20(s82) | (~until21(s82)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s82) | node20(s82) | (~until21(s82)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10188,plain,
% 1.95/1.79 ((node20(s82) | (~until21(s82)) | xuntil22(s82)) <=> (xuntil22(s82) | node20(s82) | (~until21(s82)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10189,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s82) | (~until21(s82)) | xuntil22(s82))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s82) | node20(s82) | (~until21(s82))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10188])).
% 1.95/1.79 tff(10190,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s82) | (~until21(s82)) | xuntil22(s82))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s82) | node20(s82) | (~until21(s82)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10189, 10187])).
% 1.95/1.79 tff(10191,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s82) | (~until21(s82)) | xuntil22(s82))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10192,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s82) | node20(s82) | (~until21(s82))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 1.95/1.79 tff(10193,plain,
% 1.95/1.79 (xuntil22(s82) | (~until21(s82))),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10192, 9071, 10186])).
% 1.95/1.79 tff(10194,plain,
% 1.95/1.79 (xuntil22(s82)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10193, 10182])).
% 1.95/1.79 tff(10195,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10196,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10197,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s82, s83)) | (~xuntil22(s82)) | until21(s83)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10196, 10195])).
% 1.95/1.79 tff(10198,plain,
% 1.95/1.79 ((~xuntil22(s82)) | until21(s83)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10197, 6934, 9089])).
% 1.95/1.79 tff(10199,plain,
% 1.95/1.79 (until21(s83)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10198, 10194])).
% 1.95/1.79 tff(10200,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s83) | node20(s83) | (~until21(s83)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s83) | node20(s83) | (~until21(s83)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10201,plain,
% 1.95/1.79 ((node20(s83) | (~until21(s83)) | xuntil22(s83)) <=> (xuntil22(s83) | node20(s83) | (~until21(s83)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10202,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s83) | (~until21(s83)) | xuntil22(s83))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s83) | node20(s83) | (~until21(s83))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10201])).
% 1.95/1.79 tff(10203,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s83) | (~until21(s83)) | xuntil22(s83))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s83) | node20(s83) | (~until21(s83)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10202, 10200])).
% 1.95/1.79 tff(10204,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s83) | (~until21(s83)) | xuntil22(s83))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10205,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s83) | node20(s83) | (~until21(s83))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10204, 10203])).
% 1.95/1.79 tff(10206,plain,
% 1.95/1.79 (xuntil22(s83)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10205, 9071, 10199, 8374])).
% 1.95/1.79 tff(10207,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10208,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10209,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s83, s84)) | (~xuntil22(s83)) | until21(s84)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 1.95/1.79 tff(10210,plain,
% 1.95/1.79 ((~xuntil22(s83)) | until21(s84)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10209, 7009, 9089])).
% 1.95/1.79 tff(10211,plain,
% 1.95/1.79 (until21(s84)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10210, 10206])).
% 1.95/1.79 tff(10212,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s84) | node20(s84) | (~until21(s84)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s84) | node20(s84) | (~until21(s84)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10213,plain,
% 1.95/1.79 ((node20(s84) | (~until21(s84)) | xuntil22(s84)) <=> (xuntil22(s84) | node20(s84) | (~until21(s84)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10214,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s84) | (~until21(s84)) | xuntil22(s84))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s84) | node20(s84) | (~until21(s84))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10213])).
% 1.95/1.79 tff(10215,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s84) | (~until21(s84)) | xuntil22(s84))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s84) | node20(s84) | (~until21(s84)))),
% 1.95/1.79 inference(transitivity,[status(thm)],[10214, 10212])).
% 1.95/1.79 tff(10216,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s84) | (~until21(s84)) | xuntil22(s84))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10217,plain,
% 1.95/1.79 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s84) | node20(s84) | (~until21(s84))),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 1.95/1.79 tff(10218,plain,
% 1.95/1.79 (xuntil22(s84) | node20(s84)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10217, 9071, 10211])).
% 1.95/1.79 tff(10219,plain,
% 1.95/1.79 (xuntil22(s84)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10218, 8366])).
% 1.95/1.79 tff(10220,plain,
% 1.95/1.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10221,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85))),
% 1.95/1.79 inference(quant_inst,[status(thm)],[])).
% 1.95/1.79 tff(10222,plain,
% 1.95/1.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s84, s85)) | (~xuntil22(s84)) | until21(s85)),
% 1.95/1.79 inference(modus_ponens,[status(thm)],[10221, 10220])).
% 1.95/1.79 tff(10223,plain,
% 1.95/1.79 ((~xuntil22(s84)) | until21(s85)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10222, 7098, 9089])).
% 1.95/1.79 tff(10224,plain,
% 1.95/1.79 (until21(s85)),
% 1.95/1.79 inference(unit_resolution,[status(thm)],[10223, 10219])).
% 1.95/1.79 tff(10225,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s85) | node20(s85) | (~until21(s85)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s85) | node20(s85) | (~until21(s85)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10226,plain,
% 1.95/1.79 ((node20(s85) | (~until21(s85)) | xuntil22(s85)) <=> (xuntil22(s85) | node20(s85) | (~until21(s85)))),
% 1.95/1.79 inference(rewrite,[status(thm)],[])).
% 1.95/1.79 tff(10227,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s85) | (~until21(s85)) | xuntil22(s85))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s85) | node20(s85) | (~until21(s85))))),
% 1.95/1.79 inference(monotonicity,[status(thm)],[10226])).
% 1.95/1.79 tff(10228,plain,
% 1.95/1.79 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s85) | (~until21(s85)) | xuntil22(s85))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s85) | node20(s85) | (~until21(s85)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10227, 10225])).
% 1.95/1.80 tff(10229,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s85) | (~until21(s85)) | xuntil22(s85))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10230,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s85) | node20(s85) | (~until21(s85))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 1.95/1.80 tff(10231,plain,
% 1.95/1.80 (xuntil22(s85)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10230, 9071, 10224, 8357])).
% 1.95/1.80 tff(10232,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10233,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10234,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s85, s86)) | (~xuntil22(s85)) | until21(s86)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10233, 10232])).
% 1.95/1.80 tff(10235,plain,
% 1.95/1.80 ((~xuntil22(s85)) | until21(s86)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10234, 7165, 9089])).
% 1.95/1.80 tff(10236,plain,
% 1.95/1.80 (until21(s86)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10235, 10231])).
% 1.95/1.80 tff(10237,plain,
% 1.95/1.80 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s86) | (~node20(s86)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s86) | (~node20(s86)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10238,plain,
% 1.95/1.80 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s86) | (~node20(s86)))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10239,plain,
% 1.95/1.80 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s86) | (~node20(s86))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10238, 10237])).
% 1.95/1.80 tff(10240,plain,
% 1.95/1.80 (~node20(s86)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10239, 8254, 8348])).
% 1.95/1.80 tff(10241,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s86) | node20(s86) | (~until21(s86)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s86) | node20(s86) | (~until21(s86)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10242,plain,
% 1.95/1.80 ((node20(s86) | (~until21(s86)) | xuntil22(s86)) <=> (xuntil22(s86) | node20(s86) | (~until21(s86)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10243,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s86) | (~until21(s86)) | xuntil22(s86))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s86) | node20(s86) | (~until21(s86))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10242])).
% 1.95/1.80 tff(10244,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s86) | (~until21(s86)) | xuntil22(s86))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s86) | node20(s86) | (~until21(s86)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10243, 10241])).
% 1.95/1.80 tff(10245,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s86) | (~until21(s86)) | xuntil22(s86))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10246,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s86) | node20(s86) | (~until21(s86))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 1.95/1.80 tff(10247,plain,
% 1.95/1.80 (xuntil22(s86) | (~until21(s86))),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10246, 9071, 10240])).
% 1.95/1.80 tff(10248,plain,
% 1.95/1.80 (xuntil22(s86)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10247, 10236])).
% 1.95/1.80 tff(10249,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10250,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10251,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s86, s87)) | (~xuntil22(s86)) | until21(s87)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 1.95/1.80 tff(10252,plain,
% 1.95/1.80 ((~xuntil22(s86)) | until21(s87)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10251, 7264, 9089])).
% 1.95/1.80 tff(10253,plain,
% 1.95/1.80 (until21(s87)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10252, 10248])).
% 1.95/1.80 tff(10254,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s87) | node20(s87) | (~until21(s87)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s87) | node20(s87) | (~until21(s87)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10255,plain,
% 1.95/1.80 ((node20(s87) | (~until21(s87)) | xuntil22(s87)) <=> (xuntil22(s87) | node20(s87) | (~until21(s87)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10256,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s87) | (~until21(s87)) | xuntil22(s87))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s87) | node20(s87) | (~until21(s87))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10255])).
% 1.95/1.80 tff(10257,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s87) | (~until21(s87)) | xuntil22(s87))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s87) | node20(s87) | (~until21(s87)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10256, 10254])).
% 1.95/1.80 tff(10258,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s87) | (~until21(s87)) | xuntil22(s87))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10259,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s87) | node20(s87) | (~until21(s87))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10258, 10257])).
% 1.95/1.80 tff(10260,plain,
% 1.95/1.80 (xuntil22(s87)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10259, 9071, 10253, 8341])).
% 1.95/1.80 tff(10261,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10262,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10263,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s87, s88)) | (~xuntil22(s87)) | until21(s88)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10262, 10261])).
% 1.95/1.80 tff(10264,plain,
% 1.95/1.80 ((~xuntil22(s87)) | until21(s88)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10263, 7342, 9089])).
% 1.95/1.80 tff(10265,plain,
% 1.95/1.80 (until21(s88)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10264, 10260])).
% 1.95/1.80 tff(10266,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s88) | node20(s88) | (~until21(s88)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s88) | node20(s88) | (~until21(s88)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10267,plain,
% 1.95/1.80 ((node20(s88) | (~until21(s88)) | xuntil22(s88)) <=> (xuntil22(s88) | node20(s88) | (~until21(s88)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10268,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s88) | (~until21(s88)) | xuntil22(s88))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s88) | node20(s88) | (~until21(s88))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10267])).
% 1.95/1.80 tff(10269,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s88) | (~until21(s88)) | xuntil22(s88))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s88) | node20(s88) | (~until21(s88)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10268, 10266])).
% 1.95/1.80 tff(10270,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s88) | (~until21(s88)) | xuntil22(s88))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10271,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s88) | node20(s88) | (~until21(s88))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 1.95/1.80 tff(10272,plain,
% 1.95/1.80 (xuntil22(s88) | node20(s88)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10271, 9071, 10265])).
% 1.95/1.80 tff(10273,plain,
% 1.95/1.80 (xuntil22(s88)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10272, 8333])).
% 1.95/1.80 tff(10274,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10275,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10276,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s88, s89)) | (~xuntil22(s88)) | until21(s89)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10275, 10274])).
% 1.95/1.80 tff(10277,plain,
% 1.95/1.80 ((~xuntil22(s88)) | until21(s89)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10276, 7403, 9089])).
% 1.95/1.80 tff(10278,plain,
% 1.95/1.80 (until21(s89)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10277, 10273])).
% 1.95/1.80 tff(10279,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s89) | node20(s89) | (~until21(s89)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s89) | node20(s89) | (~until21(s89)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10280,plain,
% 1.95/1.80 ((node20(s89) | (~until21(s89)) | xuntil22(s89)) <=> (xuntil22(s89) | node20(s89) | (~until21(s89)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10281,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s89) | (~until21(s89)) | xuntil22(s89))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s89) | node20(s89) | (~until21(s89))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10280])).
% 1.95/1.80 tff(10282,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s89) | (~until21(s89)) | xuntil22(s89))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s89) | node20(s89) | (~until21(s89)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10281, 10279])).
% 1.95/1.80 tff(10283,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s89) | (~until21(s89)) | xuntil22(s89))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10284,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s89) | node20(s89) | (~until21(s89))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 1.95/1.80 tff(10285,plain,
% 1.95/1.80 (xuntil22(s89)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10284, 9071, 10278, 8324])).
% 1.95/1.80 tff(10286,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10287,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10288,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s89, s90)) | (~xuntil22(s89)) | until21(s90)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10287, 10286])).
% 1.95/1.80 tff(10289,plain,
% 1.95/1.80 ((~xuntil22(s89)) | until21(s90)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10288, 7498, 9089])).
% 1.95/1.80 tff(10290,plain,
% 1.95/1.80 (until21(s90)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10289, 10285])).
% 1.95/1.80 tff(10291,plain,
% 1.95/1.80 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s90) | (~node20(s90)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s90) | (~node20(s90)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10292,plain,
% 1.95/1.80 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s90) | (~node20(s90)))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10293,plain,
% 1.95/1.80 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s90) | (~node20(s90))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10292, 10291])).
% 1.95/1.80 tff(10294,plain,
% 1.95/1.80 (~node20(s90)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10293, 8254, 8315])).
% 1.95/1.80 tff(10295,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s90) | node20(s90) | (~until21(s90)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s90) | node20(s90) | (~until21(s90)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10296,plain,
% 1.95/1.80 ((node20(s90) | (~until21(s90)) | xuntil22(s90)) <=> (xuntil22(s90) | node20(s90) | (~until21(s90)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10297,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s90) | (~until21(s90)) | xuntil22(s90))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s90) | node20(s90) | (~until21(s90))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10296])).
% 1.95/1.80 tff(10298,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s90) | (~until21(s90)) | xuntil22(s90))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s90) | node20(s90) | (~until21(s90)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10297, 10295])).
% 1.95/1.80 tff(10299,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s90) | (~until21(s90)) | xuntil22(s90))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10300,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s90) | node20(s90) | (~until21(s90))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10299, 10298])).
% 1.95/1.80 tff(10301,plain,
% 1.95/1.80 (xuntil22(s90) | (~until21(s90))),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10300, 9071, 10294])).
% 1.95/1.80 tff(10302,plain,
% 1.95/1.80 (xuntil22(s90)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10301, 10290])).
% 1.95/1.80 tff(10303,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10304,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10305,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s90, s91)) | (~xuntil22(s90)) | until21(s91)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 1.95/1.80 tff(10306,plain,
% 1.95/1.80 ((~xuntil22(s90)) | until21(s91)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10305, 7562, 9089])).
% 1.95/1.80 tff(10307,plain,
% 1.95/1.80 (until21(s91)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10306, 10302])).
% 1.95/1.80 tff(10308,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s91) | node20(s91) | (~until21(s91)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s91) | node20(s91) | (~until21(s91)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10309,plain,
% 1.95/1.80 ((node20(s91) | (~until21(s91)) | xuntil22(s91)) <=> (xuntil22(s91) | node20(s91) | (~until21(s91)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10310,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s91) | (~until21(s91)) | xuntil22(s91))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s91) | node20(s91) | (~until21(s91))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10309])).
% 1.95/1.80 tff(10311,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s91) | (~until21(s91)) | xuntil22(s91))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s91) | node20(s91) | (~until21(s91)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10310, 10308])).
% 1.95/1.80 tff(10312,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s91) | (~until21(s91)) | xuntil22(s91))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10313,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s91) | node20(s91) | (~until21(s91))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10312, 10311])).
% 1.95/1.80 tff(10314,plain,
% 1.95/1.80 (xuntil22(s91)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10313, 9071, 10307, 8308])).
% 1.95/1.80 tff(10315,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s91, s92)) | (~xuntil22(s91)) | until21(s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s91, s92)) | (~xuntil22(s91)) | until21(s92))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10316,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s91, s92)) | (~xuntil22(s91)) | until21(s92))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10317,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s91, s92)) | (~xuntil22(s91)) | until21(s92)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10316, 10315])).
% 1.95/1.80 tff(10318,plain,
% 1.95/1.80 ((~xuntil22(s91)) | until21(s92)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10317, 7637, 9089])).
% 1.95/1.80 tff(10319,plain,
% 1.95/1.80 (until21(s92)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10318, 10314])).
% 1.95/1.80 tff(10320,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s92) | node20(s92) | (~until21(s92)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s92) | node20(s92) | (~until21(s92)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10321,plain,
% 1.95/1.80 ((node20(s92) | (~until21(s92)) | xuntil22(s92)) <=> (xuntil22(s92) | node20(s92) | (~until21(s92)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10322,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s92) | (~until21(s92)) | xuntil22(s92))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s92) | node20(s92) | (~until21(s92))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10321])).
% 1.95/1.80 tff(10323,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s92) | (~until21(s92)) | xuntil22(s92))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s92) | node20(s92) | (~until21(s92)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10322, 10320])).
% 1.95/1.80 tff(10324,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s92) | (~until21(s92)) | xuntil22(s92))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10325,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s92) | node20(s92) | (~until21(s92))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10324, 10323])).
% 1.95/1.80 tff(10326,plain,
% 1.95/1.80 (xuntil22(s92) | node20(s92)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10325, 9071, 10319])).
% 1.95/1.80 tff(10327,plain,
% 1.95/1.80 (xuntil22(s92)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10326, 8300])).
% 1.95/1.80 tff(10328,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s92, s93)) | (~xuntil22(s92)) | until21(s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s92, s93)) | (~xuntil22(s92)) | until21(s93))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10329,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s92, s93)) | (~xuntil22(s92)) | until21(s93))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10330,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s92, s93)) | (~xuntil22(s92)) | until21(s93)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10329, 10328])).
% 1.95/1.80 tff(10331,plain,
% 1.95/1.80 ((~xuntil22(s92)) | until21(s93)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10330, 7726, 9089])).
% 1.95/1.80 tff(10332,plain,
% 1.95/1.80 (until21(s93)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10331, 10327])).
% 1.95/1.80 tff(10333,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s93) | node20(s93) | (~until21(s93)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s93) | node20(s93) | (~until21(s93)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10334,plain,
% 1.95/1.80 ((node20(s93) | (~until21(s93)) | xuntil22(s93)) <=> (xuntil22(s93) | node20(s93) | (~until21(s93)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10335,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s93) | (~until21(s93)) | xuntil22(s93))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s93) | node20(s93) | (~until21(s93))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10334])).
% 1.95/1.80 tff(10336,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s93) | (~until21(s93)) | xuntil22(s93))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s93) | node20(s93) | (~until21(s93)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10335, 10333])).
% 1.95/1.80 tff(10337,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s93) | (~until21(s93)) | xuntil22(s93))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10338,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s93) | node20(s93) | (~until21(s93))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 1.95/1.80 tff(10339,plain,
% 1.95/1.80 (xuntil22(s93)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10338, 9071, 10332, 8291])).
% 1.95/1.80 tff(10340,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s93, s94)) | (~xuntil22(s93)) | until21(s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s93, s94)) | (~xuntil22(s93)) | until21(s94))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10341,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s93, s94)) | (~xuntil22(s93)) | until21(s94))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10342,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s93, s94)) | (~xuntil22(s93)) | until21(s94)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10341, 10340])).
% 1.95/1.80 tff(10343,plain,
% 1.95/1.80 ((~xuntil22(s93)) | until21(s94)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10342, 7793, 9089])).
% 1.95/1.80 tff(10344,plain,
% 1.95/1.80 (until21(s94)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10343, 10339])).
% 1.95/1.80 tff(10345,plain,
% 1.95/1.80 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s94) | (~node20(s94)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s94) | (~node20(s94)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10346,plain,
% 1.95/1.80 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s94) | (~node20(s94)))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10347,plain,
% 1.95/1.80 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s94) | (~node20(s94))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10346, 10345])).
% 1.95/1.80 tff(10348,plain,
% 1.95/1.80 (~node20(s94)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10347, 8254, 8282])).
% 1.95/1.80 tff(10349,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s94) | node20(s94) | (~until21(s94)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s94) | node20(s94) | (~until21(s94)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10350,plain,
% 1.95/1.80 ((node20(s94) | (~until21(s94)) | xuntil22(s94)) <=> (xuntil22(s94) | node20(s94) | (~until21(s94)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10351,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s94) | (~until21(s94)) | xuntil22(s94))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s94) | node20(s94) | (~until21(s94))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10350])).
% 1.95/1.80 tff(10352,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s94) | (~until21(s94)) | xuntil22(s94))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s94) | node20(s94) | (~until21(s94)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10351, 10349])).
% 1.95/1.80 tff(10353,plain,
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% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10354,plain,
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% 1.95/1.80 inference(modus_ponens,[status(thm)],[10353, 10352])).
% 1.95/1.80 tff(10355,plain,
% 1.95/1.80 (xuntil22(s94) | (~until21(s94))),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10354, 9071, 10348])).
% 1.95/1.80 tff(10356,plain,
% 1.95/1.80 (xuntil22(s94)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10355, 10344])).
% 1.95/1.80 tff(10357,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s94, s95)) | (~xuntil22(s94)) | until21(s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s94, s95)) | (~xuntil22(s94)) | until21(s95))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10358,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s94, s95)) | (~xuntil22(s94)) | until21(s95))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10359,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s94, s95)) | (~xuntil22(s94)) | until21(s95)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 1.95/1.80 tff(10360,plain,
% 1.95/1.80 ((~xuntil22(s94)) | until21(s95)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10359, 7892, 9089])).
% 1.95/1.80 tff(10361,plain,
% 1.95/1.80 (until21(s95)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10360, 10356])).
% 1.95/1.80 tff(10362,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s95) | node20(s95) | (~until21(s95)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s95) | node20(s95) | (~until21(s95)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10363,plain,
% 1.95/1.80 ((node20(s95) | (~until21(s95)) | xuntil22(s95)) <=> (xuntil22(s95) | node20(s95) | (~until21(s95)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10364,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s95) | (~until21(s95)) | xuntil22(s95))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s95) | node20(s95) | (~until21(s95))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10363])).
% 1.95/1.80 tff(10365,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s95) | (~until21(s95)) | xuntil22(s95))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s95) | node20(s95) | (~until21(s95)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10364, 10362])).
% 1.95/1.80 tff(10366,plain,
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% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10367,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s95) | node20(s95) | (~until21(s95))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10366, 10365])).
% 1.95/1.80 tff(10368,plain,
% 1.95/1.80 (xuntil22(s95)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10367, 9071, 10361, 8275])).
% 1.95/1.80 tff(10369,plain,
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% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10370,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s95, s96)) | (~xuntil22(s95)) | until21(s96))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10371,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s95, s96)) | (~xuntil22(s95)) | until21(s96)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10370, 10369])).
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% 1.95/1.80 ((~xuntil22(s95)) | until21(s96)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10371, 7970, 9089])).
% 1.95/1.80 tff(10373,plain,
% 1.95/1.80 (until21(s96)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10372, 10368])).
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% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s96) | node20(s96) | (~until21(s96)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s96) | node20(s96) | (~until21(s96)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10375,plain,
% 1.95/1.80 ((node20(s96) | (~until21(s96)) | xuntil22(s96)) <=> (xuntil22(s96) | node20(s96) | (~until21(s96)))),
% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10376,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s96) | (~until21(s96)) | xuntil22(s96))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s96) | node20(s96) | (~until21(s96))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10375])).
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% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s96) | (~until21(s96)) | xuntil22(s96))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s96) | node20(s96) | (~until21(s96)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10376, 10374])).
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% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
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% 1.95/1.80 inference(modus_ponens,[status(thm)],[10378, 10377])).
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% 1.95/1.80 (xuntil22(s96) | node20(s96)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10379, 9071, 10373])).
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% 1.95/1.80 (xuntil22(s96)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10380, 8267])).
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% 1.95/1.80 inference(rewrite,[status(thm)],[])).
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% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10384,plain,
% 1.95/1.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s96, s97)) | (~xuntil22(s96)) | until21(s97)),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10383, 10382])).
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% 1.95/1.80 ((~xuntil22(s96)) | until21(s97)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10384, 8031, 9089])).
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% 1.95/1.80 inference(unit_resolution,[status(thm)],[10385, 10381])).
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% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10388,plain,
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% 1.95/1.80 inference(rewrite,[status(thm)],[])).
% 1.95/1.80 tff(10389,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s97) | (~until21(s97)) | xuntil22(s97))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s97) | node20(s97) | (~until21(s97))))),
% 1.95/1.80 inference(monotonicity,[status(thm)],[10388])).
% 1.95/1.80 tff(10390,plain,
% 1.95/1.80 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s97) | (~until21(s97)) | xuntil22(s97))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s97) | node20(s97) | (~until21(s97)))),
% 1.95/1.80 inference(transitivity,[status(thm)],[10389, 10387])).
% 1.95/1.80 tff(10391,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s97) | (~until21(s97)) | xuntil22(s97))),
% 1.95/1.80 inference(quant_inst,[status(thm)],[])).
% 1.95/1.80 tff(10392,plain,
% 1.95/1.80 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s97) | node20(s97) | (~until21(s97))),
% 1.95/1.80 inference(modus_ponens,[status(thm)],[10391, 10390])).
% 1.95/1.80 tff(10393,plain,
% 1.95/1.80 (xuntil22(s97)),
% 1.95/1.80 inference(unit_resolution,[status(thm)],[10392, 9071, 10386, 8258])).
% 1.95/1.80 tff(10394,plain,
% 1.95/1.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s97, s98)) | (~xuntil22(s97)) | until21(s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s97, s98)) | (~xuntil22(s97)) | until21(s98))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10395,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s97, s98)) | (~xuntil22(s97)) | until21(s98))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10396,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s97, s98)) | (~xuntil22(s97)) | until21(s98)),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10395, 10394])).
% 1.95/1.81 tff(10397,plain,
% 1.95/1.81 ((~xuntil22(s97)) | until21(s98)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10396, 8126, 9089])).
% 1.95/1.81 tff(10398,plain,
% 1.95/1.81 (until21(s98)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10397, 10393])).
% 1.95/1.81 tff(10399,plain,
% 1.95/1.81 (((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s98) | (~node20(s98)))) <=> ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s98) | (~node20(s98)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10400,plain,
% 1.95/1.81 ((~![X: $i] : (always19(X) | (~node20(X)))) | (always19(s98) | (~node20(s98)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10401,plain,
% 1.95/1.81 ((~![X: $i] : (always19(X) | (~node20(X)))) | always19(s98) | (~node20(s98))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10400, 10399])).
% 1.95/1.81 tff(10402,plain,
% 1.95/1.81 (~node20(s98)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10401, 8254, 8232])).
% 1.95/1.81 tff(10403,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s98) | node20(s98) | (~until21(s98)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s98) | node20(s98) | (~until21(s98)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10404,plain,
% 1.95/1.81 ((node20(s98) | (~until21(s98)) | xuntil22(s98)) <=> (xuntil22(s98) | node20(s98) | (~until21(s98)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10405,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s98) | (~until21(s98)) | xuntil22(s98))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s98) | node20(s98) | (~until21(s98))))),
% 1.95/1.81 inference(monotonicity,[status(thm)],[10404])).
% 1.95/1.81 tff(10406,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s98) | (~until21(s98)) | xuntil22(s98))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s98) | node20(s98) | (~until21(s98)))),
% 1.95/1.81 inference(transitivity,[status(thm)],[10405, 10403])).
% 1.95/1.81 tff(10407,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s98) | (~until21(s98)) | xuntil22(s98))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10408,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s98) | node20(s98) | (~until21(s98))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10407, 10406])).
% 1.95/1.81 tff(10409,plain,
% 1.95/1.81 (xuntil22(s98) | (~until21(s98))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10408, 9071, 10402])).
% 1.95/1.81 tff(10410,plain,
% 1.95/1.81 (xuntil22(s98)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10409, 10398])).
% 1.95/1.81 tff(10411,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s98, s99)) | (~xuntil22(s98)) | until21(s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s98, s99)) | (~xuntil22(s98)) | until21(s99))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10412,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | ((~succ(s98, s99)) | (~xuntil22(s98)) | until21(s99))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10413,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil22(X)) | until21(Y))) | (~succ(s98, s99)) | (~xuntil22(s98)) | until21(s99)),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 1.95/1.81 tff(10414,plain,
% 1.95/1.81 ((~xuntil22(s98)) | until21(s99)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10413, 8190, 9089])).
% 1.95/1.81 tff(10415,plain,
% 1.95/1.81 (until21(s99)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10414, 10410])).
% 1.95/1.81 tff(10416,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s99) | node20(s99) | (~until21(s99)))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s99) | node20(s99) | (~until21(s99)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10417,plain,
% 1.95/1.81 ((node20(s99) | (~until21(s99)) | xuntil22(s99)) <=> (xuntil22(s99) | node20(s99) | (~until21(s99)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10418,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s99) | (~until21(s99)) | xuntil22(s99))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (xuntil22(s99) | node20(s99) | (~until21(s99))))),
% 1.95/1.81 inference(monotonicity,[status(thm)],[10417])).
% 1.95/1.81 tff(10419,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s99) | (~until21(s99)) | xuntil22(s99))) <=> ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s99) | node20(s99) | (~until21(s99)))),
% 1.95/1.81 inference(transitivity,[status(thm)],[10418, 10416])).
% 1.95/1.81 tff(10420,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | (node20(s99) | (~until21(s99)) | xuntil22(s99))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10421,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | (~until21(X)) | xuntil22(X))) | xuntil22(s99) | node20(s99) | (~until21(s99))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10420, 10419])).
% 1.95/1.81 tff(10422,plain,
% 1.95/1.81 (xuntil22(s99)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10421, 9071, 10415, 8218])).
% 1.95/1.81 tff(10423,plain,
% 1.95/1.81 (^[X: $i] : refl(((~last(X)) | (~xuntil2p24(X))) <=> ((~last(X)) | (~xuntil2p24(X))))),
% 1.95/1.81 inference(bind,[status(th)],[])).
% 1.95/1.81 tff(10424,plain,
% 1.95/1.81 (![X: $i] : ((~last(X)) | (~xuntil2p24(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(quant_intro,[status(thm)],[10423])).
% 1.95/1.81 tff(10425,plain,
% 1.95/1.81 (![X: $i] : ((~last(X)) | (~xuntil2p24(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10426,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p24(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty12')).
% 1.95/1.81 tff(10427,plain,
% 1.95/1.81 (![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 1.95/1.81 tff(10428,plain,(
% 1.95/1.81 ![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(skolemize,[status(sab)],[10427])).
% 1.95/1.81 tff(10429,plain,
% 1.95/1.81 (![X: $i] : ((~last(X)) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10428, 10424])).
% 1.95/1.81 tff(10430,plain,
% 1.95/1.81 (last(s99) <=> last(s99)),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10431,axiom,(last(s99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound100')).
% 1.95/1.81 tff(10432,plain,
% 1.95/1.81 (last(s99)),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10431, 10430])).
% 1.95/1.81 tff(10433,plain,
% 1.95/1.81 (((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | ((~last(s99)) | (~xuntil2p24(s99)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | (~last(s99)) | (~xuntil2p24(s99)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10434,plain,
% 1.95/1.81 ((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | ((~last(s99)) | (~xuntil2p24(s99)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10435,plain,
% 1.95/1.81 ((~![X: $i] : ((~last(X)) | (~xuntil2p24(X)))) | (~last(s99)) | (~xuntil2p24(s99))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 1.95/1.81 tff(10436,plain,
% 1.95/1.81 (~xuntil2p24(s99)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10435, 10432, 10429])).
% 1.95/1.81 tff(10437,plain,
% 1.95/1.81 (^[X: $i] : refl((node20(X) | xuntil2p24(X) | (~until2p23(X))) <=> (node20(X) | xuntil2p24(X) | (~until2p23(X))))),
% 1.95/1.81 inference(bind,[status(th)],[])).
% 1.95/1.81 tff(10438,plain,
% 1.95/1.81 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X))) <=> ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.95/1.81 inference(quant_intro,[status(thm)],[10437])).
% 1.95/1.81 tff(10439,plain,
% 1.95/1.81 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X))) <=> ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10440,plain,
% 1.95/1.81 (^[X: $i] : rewrite(((node20(X) | xuntil2p24(X)) | (~until2p23(X))) <=> (node20(X) | xuntil2p24(X) | (~until2p23(X))))),
% 1.95/1.81 inference(bind,[status(th)],[])).
% 1.95/1.81 tff(10441,plain,
% 1.95/1.81 (![X: $i] : ((node20(X) | xuntil2p24(X)) | (~until2p23(X))) <=> ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.95/1.81 inference(quant_intro,[status(thm)],[10440])).
% 1.95/1.81 tff(10442,axiom,(![X: $i] : ((node20(X) | xuntil2p24(X)) | (~until2p23(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty10')).
% 1.95/1.81 tff(10443,plain,
% 1.95/1.81 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 1.95/1.81 tff(10444,plain,
% 1.95/1.81 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10443, 10439])).
% 1.95/1.81 tff(10445,plain,(
% 1.95/1.81 ![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.95/1.81 inference(skolemize,[status(sab)],[10444])).
% 1.95/1.81 tff(10446,plain,
% 1.95/1.81 (![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10445, 10438])).
% 1.95/1.81 tff(10447,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s99) | xuntil2p24(s99) | (~until2p23(s99)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s99) | xuntil2p24(s99) | (~until2p23(s99)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10448,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s99) | xuntil2p24(s99) | (~until2p23(s99)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10449,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s99) | xuntil2p24(s99) | (~until2p23(s99))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10448, 10447])).
% 1.95/1.81 tff(10450,plain,
% 1.95/1.81 (node20(s99) | (~until2p23(s99))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10449, 10446, 10436])).
% 1.95/1.81 tff(10451,plain,
% 1.95/1.81 (~until2p23(s99)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10450, 8218])).
% 1.95/1.81 tff(10452,plain,
% 1.95/1.81 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))) <=> ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))))),
% 1.95/1.81 inference(bind,[status(th)],[])).
% 1.95/1.81 tff(10453,plain,
% 1.95/1.81 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(quant_intro,[status(thm)],[10452])).
% 1.95/1.81 tff(10454,plain,
% 1.95/1.81 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10455,plain,
% 1.95/1.81 (^[Y: $i, X: $i] : rewrite(((until2p23(Y) | (~succ(X, Y))) | (~xuntil2p24(X))) <=> ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X))))),
% 1.95/1.81 inference(bind,[status(th)],[])).
% 1.95/1.81 tff(10456,plain,
% 1.95/1.81 (![Y: $i, X: $i] : ((until2p23(Y) | (~succ(X, Y))) | (~xuntil2p24(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(quant_intro,[status(thm)],[10455])).
% 1.95/1.81 tff(10457,axiom,(![Y: $i, X: $i] : ((until2p23(Y) | (~succ(X, Y))) | (~xuntil2p24(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty11')).
% 1.95/1.81 tff(10458,plain,
% 1.95/1.81 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10457, 10456])).
% 1.95/1.81 tff(10459,plain,
% 1.95/1.81 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10458, 10454])).
% 1.95/1.81 tff(10460,plain,(
% 1.95/1.81 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(skolemize,[status(sab)],[10459])).
% 1.95/1.81 tff(10461,plain,
% 1.95/1.81 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10460, 10453])).
% 1.95/1.81 tff(10462,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s98, s99)) | until2p23(s99) | (~xuntil2p24(s98)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s98, s99)) | until2p23(s99) | (~xuntil2p24(s98)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10463,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s98, s99)) | until2p23(s99) | (~xuntil2p24(s98)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10464,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s98, s99)) | until2p23(s99) | (~xuntil2p24(s98))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10463, 10462])).
% 1.95/1.81 tff(10465,plain,
% 1.95/1.81 (until2p23(s99) | (~xuntil2p24(s98))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10464, 8190, 10461])).
% 1.95/1.81 tff(10466,plain,
% 1.95/1.81 (~xuntil2p24(s98)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10465, 10451])).
% 1.95/1.81 tff(10467,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s98) | xuntil2p24(s98) | (~until2p23(s98)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s98) | xuntil2p24(s98) | (~until2p23(s98)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10468,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s98) | xuntil2p24(s98) | (~until2p23(s98)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10469,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s98) | xuntil2p24(s98) | (~until2p23(s98))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10468, 10467])).
% 1.95/1.81 tff(10470,plain,
% 1.95/1.81 (xuntil2p24(s98) | (~until2p23(s98))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10469, 10446, 10402])).
% 1.95/1.81 tff(10471,plain,
% 1.95/1.81 (~until2p23(s98)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10470, 10466])).
% 1.95/1.81 tff(10472,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s97, s98)) | until2p23(s98) | (~xuntil2p24(s97)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s97, s98)) | until2p23(s98) | (~xuntil2p24(s97)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10473,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s97, s98)) | until2p23(s98) | (~xuntil2p24(s97)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10474,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s97, s98)) | until2p23(s98) | (~xuntil2p24(s97))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 1.95/1.81 tff(10475,plain,
% 1.95/1.81 (until2p23(s98) | (~xuntil2p24(s97))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10474, 8126, 10461])).
% 1.95/1.81 tff(10476,plain,
% 1.95/1.81 (~xuntil2p24(s97)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10475, 10471])).
% 1.95/1.81 tff(10477,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s97) | xuntil2p24(s97) | (~until2p23(s97)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s97) | xuntil2p24(s97) | (~until2p23(s97)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10478,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s97) | xuntil2p24(s97) | (~until2p23(s97)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10479,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s97) | xuntil2p24(s97) | (~until2p23(s97))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 1.95/1.81 tff(10480,plain,
% 1.95/1.81 (xuntil2p24(s97) | (~until2p23(s97))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10479, 10446, 8258])).
% 1.95/1.81 tff(10481,plain,
% 1.95/1.81 (~until2p23(s97)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10480, 10476])).
% 1.95/1.81 tff(10482,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s96, s97)) | until2p23(s97) | (~xuntil2p24(s96)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s96, s97)) | until2p23(s97) | (~xuntil2p24(s96)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10483,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s96, s97)) | until2p23(s97) | (~xuntil2p24(s96)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10484,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s96, s97)) | until2p23(s97) | (~xuntil2p24(s96))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10483, 10482])).
% 1.95/1.81 tff(10485,plain,
% 1.95/1.81 (until2p23(s97) | (~xuntil2p24(s96))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10484, 8031, 10461])).
% 1.95/1.81 tff(10486,plain,
% 1.95/1.81 (~xuntil2p24(s96)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10485, 10481])).
% 1.95/1.81 tff(10487,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s96) | xuntil2p24(s96) | (~until2p23(s96)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s96) | xuntil2p24(s96) | (~until2p23(s96)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10488,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s96) | xuntil2p24(s96) | (~until2p23(s96)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10489,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s96) | xuntil2p24(s96) | (~until2p23(s96))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10488, 10487])).
% 1.95/1.81 tff(10490,plain,
% 1.95/1.81 (xuntil2p24(s96) | (~until2p23(s96))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10489, 10446, 8267])).
% 1.95/1.81 tff(10491,plain,
% 1.95/1.81 (~until2p23(s96)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10490, 10486])).
% 1.95/1.81 tff(10492,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s95, s96)) | until2p23(s96) | (~xuntil2p24(s95)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s95, s96)) | until2p23(s96) | (~xuntil2p24(s95)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10493,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s95, s96)) | until2p23(s96) | (~xuntil2p24(s95)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10494,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s95, s96)) | until2p23(s96) | (~xuntil2p24(s95))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10493, 10492])).
% 1.95/1.81 tff(10495,plain,
% 1.95/1.81 (until2p23(s96) | (~xuntil2p24(s95))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10494, 7970, 10461])).
% 1.95/1.81 tff(10496,plain,
% 1.95/1.81 (~xuntil2p24(s95)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10495, 10491])).
% 1.95/1.81 tff(10497,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s95) | xuntil2p24(s95) | (~until2p23(s95)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s95) | xuntil2p24(s95) | (~until2p23(s95)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10498,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s95) | xuntil2p24(s95) | (~until2p23(s95)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10499,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s95) | xuntil2p24(s95) | (~until2p23(s95))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10498, 10497])).
% 1.95/1.81 tff(10500,plain,
% 1.95/1.81 (xuntil2p24(s95) | (~until2p23(s95))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10499, 10446, 8275])).
% 1.95/1.81 tff(10501,plain,
% 1.95/1.81 (~until2p23(s95)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10500, 10496])).
% 1.95/1.81 tff(10502,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s94, s95)) | until2p23(s95) | (~xuntil2p24(s94)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s94, s95)) | until2p23(s95) | (~xuntil2p24(s94)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10503,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s94, s95)) | until2p23(s95) | (~xuntil2p24(s94)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10504,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s94, s95)) | until2p23(s95) | (~xuntil2p24(s94))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 1.95/1.81 tff(10505,plain,
% 1.95/1.81 (until2p23(s95) | (~xuntil2p24(s94))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10504, 7892, 10461])).
% 1.95/1.81 tff(10506,plain,
% 1.95/1.81 (~xuntil2p24(s94)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10505, 10501])).
% 1.95/1.81 tff(10507,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s94) | xuntil2p24(s94) | (~until2p23(s94)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s94) | xuntil2p24(s94) | (~until2p23(s94)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10508,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s94) | xuntil2p24(s94) | (~until2p23(s94)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10509,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s94) | xuntil2p24(s94) | (~until2p23(s94))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10508, 10507])).
% 1.95/1.81 tff(10510,plain,
% 1.95/1.81 (xuntil2p24(s94) | (~until2p23(s94))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10509, 10446, 10348])).
% 1.95/1.81 tff(10511,plain,
% 1.95/1.81 (~until2p23(s94)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10510, 10506])).
% 1.95/1.81 tff(10512,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s93, s94)) | until2p23(s94) | (~xuntil2p24(s93)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s93, s94)) | until2p23(s94) | (~xuntil2p24(s93)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10513,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s93, s94)) | until2p23(s94) | (~xuntil2p24(s93)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10514,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s93, s94)) | until2p23(s94) | (~xuntil2p24(s93))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 1.95/1.81 tff(10515,plain,
% 1.95/1.81 (until2p23(s94) | (~xuntil2p24(s93))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10514, 7793, 10461])).
% 1.95/1.81 tff(10516,plain,
% 1.95/1.81 (~xuntil2p24(s93)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10515, 10511])).
% 1.95/1.81 tff(10517,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s93) | xuntil2p24(s93) | (~until2p23(s93)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s93) | xuntil2p24(s93) | (~until2p23(s93)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10518,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s93) | xuntil2p24(s93) | (~until2p23(s93)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10519,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s93) | xuntil2p24(s93) | (~until2p23(s93))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 1.95/1.81 tff(10520,plain,
% 1.95/1.81 (xuntil2p24(s93) | (~until2p23(s93))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10519, 10446, 8291])).
% 1.95/1.81 tff(10521,plain,
% 1.95/1.81 (~until2p23(s93)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10520, 10516])).
% 1.95/1.81 tff(10522,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s92, s93)) | until2p23(s93) | (~xuntil2p24(s92)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s92, s93)) | until2p23(s93) | (~xuntil2p24(s92)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10523,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s92, s93)) | until2p23(s93) | (~xuntil2p24(s92)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10524,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s92, s93)) | until2p23(s93) | (~xuntil2p24(s92))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 1.95/1.81 tff(10525,plain,
% 1.95/1.81 (until2p23(s93) | (~xuntil2p24(s92))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10524, 7726, 10461])).
% 1.95/1.81 tff(10526,plain,
% 1.95/1.81 (~xuntil2p24(s92)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10525, 10521])).
% 1.95/1.81 tff(10527,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s92) | xuntil2p24(s92) | (~until2p23(s92)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s92) | xuntil2p24(s92) | (~until2p23(s92)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10528,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s92) | xuntil2p24(s92) | (~until2p23(s92)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10529,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s92) | xuntil2p24(s92) | (~until2p23(s92))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 1.95/1.81 tff(10530,plain,
% 1.95/1.81 (xuntil2p24(s92) | (~until2p23(s92))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10529, 10446, 8300])).
% 1.95/1.81 tff(10531,plain,
% 1.95/1.81 (~until2p23(s92)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10530, 10526])).
% 1.95/1.81 tff(10532,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s91, s92)) | until2p23(s92) | (~xuntil2p24(s91)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s91, s92)) | until2p23(s92) | (~xuntil2p24(s91)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10533,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s91, s92)) | until2p23(s92) | (~xuntil2p24(s91)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10534,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s91, s92)) | until2p23(s92) | (~xuntil2p24(s91))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10533, 10532])).
% 1.95/1.81 tff(10535,plain,
% 1.95/1.81 (until2p23(s92) | (~xuntil2p24(s91))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10534, 7637, 10461])).
% 1.95/1.81 tff(10536,plain,
% 1.95/1.81 (~xuntil2p24(s91)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10535, 10531])).
% 1.95/1.81 tff(10537,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s91) | xuntil2p24(s91) | (~until2p23(s91)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s91) | xuntil2p24(s91) | (~until2p23(s91)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10538,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s91) | xuntil2p24(s91) | (~until2p23(s91)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10539,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s91) | xuntil2p24(s91) | (~until2p23(s91))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 1.95/1.81 tff(10540,plain,
% 1.95/1.81 (xuntil2p24(s91) | (~until2p23(s91))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10539, 10446, 8308])).
% 1.95/1.81 tff(10541,plain,
% 1.95/1.81 (~until2p23(s91)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10540, 10536])).
% 1.95/1.81 tff(10542,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s90, s91)) | until2p23(s91) | (~xuntil2p24(s90)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s90, s91)) | until2p23(s91) | (~xuntil2p24(s90)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10543,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s90, s91)) | until2p23(s91) | (~xuntil2p24(s90)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10544,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s90, s91)) | until2p23(s91) | (~xuntil2p24(s90))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 1.95/1.81 tff(10545,plain,
% 1.95/1.81 (until2p23(s91) | (~xuntil2p24(s90))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10544, 7562, 10461])).
% 1.95/1.81 tff(10546,plain,
% 1.95/1.81 (~xuntil2p24(s90)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10545, 10541])).
% 1.95/1.81 tff(10547,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s90) | xuntil2p24(s90) | (~until2p23(s90)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s90) | xuntil2p24(s90) | (~until2p23(s90)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10548,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s90) | xuntil2p24(s90) | (~until2p23(s90)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10549,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s90) | xuntil2p24(s90) | (~until2p23(s90))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10548, 10547])).
% 1.95/1.81 tff(10550,plain,
% 1.95/1.81 (xuntil2p24(s90) | (~until2p23(s90))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10549, 10446, 10294])).
% 1.95/1.81 tff(10551,plain,
% 1.95/1.81 (~until2p23(s90)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10550, 10546])).
% 1.95/1.81 tff(10552,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s89, s90)) | until2p23(s90) | (~xuntil2p24(s89)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s89, s90)) | until2p23(s90) | (~xuntil2p24(s89)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10553,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s89, s90)) | until2p23(s90) | (~xuntil2p24(s89)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10554,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s89, s90)) | until2p23(s90) | (~xuntil2p24(s89))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10553, 10552])).
% 1.95/1.81 tff(10555,plain,
% 1.95/1.81 (until2p23(s90) | (~xuntil2p24(s89))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10554, 7498, 10461])).
% 1.95/1.81 tff(10556,plain,
% 1.95/1.81 (~xuntil2p24(s89)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10555, 10551])).
% 1.95/1.81 tff(10557,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s89) | xuntil2p24(s89) | (~until2p23(s89)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s89) | xuntil2p24(s89) | (~until2p23(s89)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10558,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s89) | xuntil2p24(s89) | (~until2p23(s89)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10559,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s89) | xuntil2p24(s89) | (~until2p23(s89))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 1.95/1.81 tff(10560,plain,
% 1.95/1.81 (xuntil2p24(s89) | (~until2p23(s89))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10559, 10446, 8324])).
% 1.95/1.81 tff(10561,plain,
% 1.95/1.81 (~until2p23(s89)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10560, 10556])).
% 1.95/1.81 tff(10562,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s88, s89)) | until2p23(s89) | (~xuntil2p24(s88)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s88, s89)) | until2p23(s89) | (~xuntil2p24(s88)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10563,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s88, s89)) | until2p23(s89) | (~xuntil2p24(s88)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10564,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s88, s89)) | until2p23(s89) | (~xuntil2p24(s88))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10563, 10562])).
% 1.95/1.81 tff(10565,plain,
% 1.95/1.81 (until2p23(s89) | (~xuntil2p24(s88))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10564, 7403, 10461])).
% 1.95/1.81 tff(10566,plain,
% 1.95/1.81 (~xuntil2p24(s88)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10565, 10561])).
% 1.95/1.81 tff(10567,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s88) | xuntil2p24(s88) | (~until2p23(s88)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s88) | xuntil2p24(s88) | (~until2p23(s88)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10568,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s88) | xuntil2p24(s88) | (~until2p23(s88)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10569,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s88) | xuntil2p24(s88) | (~until2p23(s88))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10568, 10567])).
% 1.95/1.81 tff(10570,plain,
% 1.95/1.81 (xuntil2p24(s88) | (~until2p23(s88))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10569, 10446, 8333])).
% 1.95/1.81 tff(10571,plain,
% 1.95/1.81 (~until2p23(s88)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10570, 10566])).
% 1.95/1.81 tff(10572,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s87, s88)) | until2p23(s88) | (~xuntil2p24(s87)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s87, s88)) | until2p23(s88) | (~xuntil2p24(s87)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10573,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s87, s88)) | until2p23(s88) | (~xuntil2p24(s87)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10574,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s87, s88)) | until2p23(s88) | (~xuntil2p24(s87))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10573, 10572])).
% 1.95/1.81 tff(10575,plain,
% 1.95/1.81 (until2p23(s88) | (~xuntil2p24(s87))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10574, 7342, 10461])).
% 1.95/1.81 tff(10576,plain,
% 1.95/1.81 (~xuntil2p24(s87)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10575, 10571])).
% 1.95/1.81 tff(10577,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s87) | xuntil2p24(s87) | (~until2p23(s87)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s87) | xuntil2p24(s87) | (~until2p23(s87)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10578,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s87) | xuntil2p24(s87) | (~until2p23(s87)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10579,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s87) | xuntil2p24(s87) | (~until2p23(s87))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 1.95/1.81 tff(10580,plain,
% 1.95/1.81 (xuntil2p24(s87) | (~until2p23(s87))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10579, 10446, 8341])).
% 1.95/1.81 tff(10581,plain,
% 1.95/1.81 (~until2p23(s87)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10580, 10576])).
% 1.95/1.81 tff(10582,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s86, s87)) | until2p23(s87) | (~xuntil2p24(s86)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s86, s87)) | until2p23(s87) | (~xuntil2p24(s86)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10583,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s86, s87)) | until2p23(s87) | (~xuntil2p24(s86)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10584,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s86, s87)) | until2p23(s87) | (~xuntil2p24(s86))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10583, 10582])).
% 1.95/1.81 tff(10585,plain,
% 1.95/1.81 (until2p23(s87) | (~xuntil2p24(s86))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10584, 7264, 10461])).
% 1.95/1.81 tff(10586,plain,
% 1.95/1.81 (~xuntil2p24(s86)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10585, 10581])).
% 1.95/1.81 tff(10587,plain,
% 1.95/1.81 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s86) | xuntil2p24(s86) | (~until2p23(s86)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s86) | xuntil2p24(s86) | (~until2p23(s86)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10588,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s86) | xuntil2p24(s86) | (~until2p23(s86)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.81 tff(10589,plain,
% 1.95/1.81 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s86) | xuntil2p24(s86) | (~until2p23(s86))),
% 1.95/1.81 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 1.95/1.81 tff(10590,plain,
% 1.95/1.81 (xuntil2p24(s86) | (~until2p23(s86))),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10589, 10446, 10240])).
% 1.95/1.81 tff(10591,plain,
% 1.95/1.81 (~until2p23(s86)),
% 1.95/1.81 inference(unit_resolution,[status(thm)],[10590, 10586])).
% 1.95/1.81 tff(10592,plain,
% 1.95/1.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s85, s86)) | until2p23(s86) | (~xuntil2p24(s85)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s85, s86)) | until2p23(s86) | (~xuntil2p24(s85)))),
% 1.95/1.81 inference(rewrite,[status(thm)],[])).
% 1.95/1.81 tff(10593,plain,
% 1.95/1.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s85, s86)) | until2p23(s86) | (~xuntil2p24(s85)))),
% 1.95/1.81 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10594,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s85, s86)) | until2p23(s86) | (~xuntil2p24(s85))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 1.95/1.82 tff(10595,plain,
% 1.95/1.82 (until2p23(s86) | (~xuntil2p24(s85))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10594, 7165, 10461])).
% 1.95/1.82 tff(10596,plain,
% 1.95/1.82 (~xuntil2p24(s85)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10595, 10591])).
% 1.95/1.82 tff(10597,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s85) | xuntil2p24(s85) | (~until2p23(s85)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s85) | xuntil2p24(s85) | (~until2p23(s85)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10598,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s85) | xuntil2p24(s85) | (~until2p23(s85)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10599,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s85) | xuntil2p24(s85) | (~until2p23(s85))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10598, 10597])).
% 1.95/1.82 tff(10600,plain,
% 1.95/1.82 (xuntil2p24(s85) | (~until2p23(s85))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10599, 10446, 8357])).
% 1.95/1.82 tff(10601,plain,
% 1.95/1.82 (~until2p23(s85)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10600, 10596])).
% 1.95/1.82 tff(10602,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s84, s85)) | until2p23(s85) | (~xuntil2p24(s84)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s84, s85)) | until2p23(s85) | (~xuntil2p24(s84)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10603,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s84, s85)) | until2p23(s85) | (~xuntil2p24(s84)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10604,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s84, s85)) | until2p23(s85) | (~xuntil2p24(s84))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 1.95/1.82 tff(10605,plain,
% 1.95/1.82 (until2p23(s85) | (~xuntil2p24(s84))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10604, 7098, 10461])).
% 1.95/1.82 tff(10606,plain,
% 1.95/1.82 (~xuntil2p24(s84)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10605, 10601])).
% 1.95/1.82 tff(10607,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s84) | xuntil2p24(s84) | (~until2p23(s84)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s84) | xuntil2p24(s84) | (~until2p23(s84)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10608,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s84) | xuntil2p24(s84) | (~until2p23(s84)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10609,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s84) | xuntil2p24(s84) | (~until2p23(s84))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10608, 10607])).
% 1.95/1.82 tff(10610,plain,
% 1.95/1.82 (xuntil2p24(s84) | (~until2p23(s84))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10609, 10446, 8366])).
% 1.95/1.82 tff(10611,plain,
% 1.95/1.82 (~until2p23(s84)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10610, 10606])).
% 1.95/1.82 tff(10612,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s83, s84)) | until2p23(s84) | (~xuntil2p24(s83)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s83, s84)) | until2p23(s84) | (~xuntil2p24(s83)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10613,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s83, s84)) | until2p23(s84) | (~xuntil2p24(s83)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10614,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s83, s84)) | until2p23(s84) | (~xuntil2p24(s83))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10613, 10612])).
% 1.95/1.82 tff(10615,plain,
% 1.95/1.82 (until2p23(s84) | (~xuntil2p24(s83))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10614, 7009, 10461])).
% 1.95/1.82 tff(10616,plain,
% 1.95/1.82 (~xuntil2p24(s83)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10615, 10611])).
% 1.95/1.82 tff(10617,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s83) | xuntil2p24(s83) | (~until2p23(s83)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s83) | xuntil2p24(s83) | (~until2p23(s83)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10618,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s83) | xuntil2p24(s83) | (~until2p23(s83)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10619,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s83) | xuntil2p24(s83) | (~until2p23(s83))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 1.95/1.82 tff(10620,plain,
% 1.95/1.82 (xuntil2p24(s83) | (~until2p23(s83))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10619, 10446, 8374])).
% 1.95/1.82 tff(10621,plain,
% 1.95/1.82 (~until2p23(s83)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10620, 10616])).
% 1.95/1.82 tff(10622,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s82, s83)) | until2p23(s83) | (~xuntil2p24(s82)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s82, s83)) | until2p23(s83) | (~xuntil2p24(s82)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10623,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s82, s83)) | until2p23(s83) | (~xuntil2p24(s82)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10624,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s82, s83)) | until2p23(s83) | (~xuntil2p24(s82))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10623, 10622])).
% 1.95/1.82 tff(10625,plain,
% 1.95/1.82 (until2p23(s83) | (~xuntil2p24(s82))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10624, 6934, 10461])).
% 1.95/1.82 tff(10626,plain,
% 1.95/1.82 (~xuntil2p24(s82)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10625, 10621])).
% 1.95/1.82 tff(10627,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s82) | xuntil2p24(s82) | (~until2p23(s82)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s82) | xuntil2p24(s82) | (~until2p23(s82)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10628,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s82) | xuntil2p24(s82) | (~until2p23(s82)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10629,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s82) | xuntil2p24(s82) | (~until2p23(s82))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 1.95/1.82 tff(10630,plain,
% 1.95/1.82 (xuntil2p24(s82) | (~until2p23(s82))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10629, 10446, 10186])).
% 1.95/1.82 tff(10631,plain,
% 1.95/1.82 (~until2p23(s82)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10630, 10626])).
% 1.95/1.82 tff(10632,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s81, s82)) | until2p23(s82) | (~xuntil2p24(s81)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s81, s82)) | until2p23(s82) | (~xuntil2p24(s81)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10633,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s81, s82)) | until2p23(s82) | (~xuntil2p24(s81)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10634,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s81, s82)) | until2p23(s82) | (~xuntil2p24(s81))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10633, 10632])).
% 1.95/1.82 tff(10635,plain,
% 1.95/1.82 (until2p23(s82) | (~xuntil2p24(s81))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10634, 6870, 10461])).
% 1.95/1.82 tff(10636,plain,
% 1.95/1.82 (~xuntil2p24(s81)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10635, 10631])).
% 1.95/1.82 tff(10637,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s81) | xuntil2p24(s81) | (~until2p23(s81)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s81) | xuntil2p24(s81) | (~until2p23(s81)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10638,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s81) | xuntil2p24(s81) | (~until2p23(s81)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10639,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s81) | xuntil2p24(s81) | (~until2p23(s81))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10638, 10637])).
% 1.95/1.82 tff(10640,plain,
% 1.95/1.82 (xuntil2p24(s81) | (~until2p23(s81))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10639, 10446, 8390])).
% 1.95/1.82 tff(10641,plain,
% 1.95/1.82 (~until2p23(s81)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10640, 10636])).
% 1.95/1.82 tff(10642,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s80, s81)) | until2p23(s81) | (~xuntil2p24(s80)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s80, s81)) | until2p23(s81) | (~xuntil2p24(s80)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10643,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s80, s81)) | until2p23(s81) | (~xuntil2p24(s80)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10644,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s80, s81)) | until2p23(s81) | (~xuntil2p24(s80))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10643, 10642])).
% 1.95/1.82 tff(10645,plain,
% 1.95/1.82 (until2p23(s81) | (~xuntil2p24(s80))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10644, 6775, 10461])).
% 1.95/1.82 tff(10646,plain,
% 1.95/1.82 (~xuntil2p24(s80)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10645, 10641])).
% 1.95/1.82 tff(10647,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s80) | xuntil2p24(s80) | (~until2p23(s80)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s80) | xuntil2p24(s80) | (~until2p23(s80)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10648,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s80) | xuntil2p24(s80) | (~until2p23(s80)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10649,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s80) | xuntil2p24(s80) | (~until2p23(s80))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10648, 10647])).
% 1.95/1.82 tff(10650,plain,
% 1.95/1.82 (xuntil2p24(s80) | (~until2p23(s80))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10649, 10446, 8399])).
% 1.95/1.82 tff(10651,plain,
% 1.95/1.82 (~until2p23(s80)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10650, 10646])).
% 1.95/1.82 tff(10652,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s79, s80)) | until2p23(s80) | (~xuntil2p24(s79)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s79, s80)) | until2p23(s80) | (~xuntil2p24(s79)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10653,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s79, s80)) | until2p23(s80) | (~xuntil2p24(s79)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10654,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s79, s80)) | until2p23(s80) | (~xuntil2p24(s79))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10653, 10652])).
% 1.95/1.82 tff(10655,plain,
% 1.95/1.82 (until2p23(s80) | (~xuntil2p24(s79))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10654, 6714, 10461])).
% 1.95/1.82 tff(10656,plain,
% 1.95/1.82 (~xuntil2p24(s79)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10655, 10651])).
% 1.95/1.82 tff(10657,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s79) | xuntil2p24(s79) | (~until2p23(s79)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s79) | xuntil2p24(s79) | (~until2p23(s79)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10658,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s79) | xuntil2p24(s79) | (~until2p23(s79)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10659,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s79) | xuntil2p24(s79) | (~until2p23(s79))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 1.95/1.82 tff(10660,plain,
% 1.95/1.82 (xuntil2p24(s79) | (~until2p23(s79))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10659, 10446, 8407])).
% 1.95/1.82 tff(10661,plain,
% 1.95/1.82 (~until2p23(s79)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10660, 10656])).
% 1.95/1.82 tff(10662,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s78, s79)) | until2p23(s79) | (~xuntil2p24(s78)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s78, s79)) | until2p23(s79) | (~xuntil2p24(s78)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10663,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s78, s79)) | until2p23(s79) | (~xuntil2p24(s78)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10664,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s78, s79)) | until2p23(s79) | (~xuntil2p24(s78))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10663, 10662])).
% 1.95/1.82 tff(10665,plain,
% 1.95/1.82 (until2p23(s79) | (~xuntil2p24(s78))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10664, 6636, 10461])).
% 1.95/1.82 tff(10666,plain,
% 1.95/1.82 (~xuntil2p24(s78)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10665, 10661])).
% 1.95/1.82 tff(10667,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s78) | xuntil2p24(s78) | (~until2p23(s78)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s78) | xuntil2p24(s78) | (~until2p23(s78)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10668,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s78) | xuntil2p24(s78) | (~until2p23(s78)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10669,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s78) | xuntil2p24(s78) | (~until2p23(s78))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 1.95/1.82 tff(10670,plain,
% 1.95/1.82 (xuntil2p24(s78) | (~until2p23(s78))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10669, 10446, 10132])).
% 1.95/1.82 tff(10671,plain,
% 1.95/1.82 (~until2p23(s78)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10670, 10666])).
% 1.95/1.82 tff(10672,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s77, s78)) | until2p23(s78) | (~xuntil2p24(s77)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s77, s78)) | until2p23(s78) | (~xuntil2p24(s77)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10673,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s77, s78)) | until2p23(s78) | (~xuntil2p24(s77)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10674,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s77, s78)) | until2p23(s78) | (~xuntil2p24(s77))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10673, 10672])).
% 1.95/1.82 tff(10675,plain,
% 1.95/1.82 (until2p23(s78) | (~xuntil2p24(s77))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10674, 6537, 10461])).
% 1.95/1.82 tff(10676,plain,
% 1.95/1.82 (~xuntil2p24(s77)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10675, 10671])).
% 1.95/1.82 tff(10677,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s77) | xuntil2p24(s77) | (~until2p23(s77)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s77) | xuntil2p24(s77) | (~until2p23(s77)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10678,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s77) | xuntil2p24(s77) | (~until2p23(s77)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10679,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s77) | xuntil2p24(s77) | (~until2p23(s77))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10678, 10677])).
% 1.95/1.82 tff(10680,plain,
% 1.95/1.82 (xuntil2p24(s77) | (~until2p23(s77))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10679, 10446, 8423])).
% 1.95/1.82 tff(10681,plain,
% 1.95/1.82 (~until2p23(s77)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10680, 10676])).
% 1.95/1.82 tff(10682,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s76, s77)) | until2p23(s77) | (~xuntil2p24(s76)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s76, s77)) | until2p23(s77) | (~xuntil2p24(s76)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10683,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s76, s77)) | until2p23(s77) | (~xuntil2p24(s76)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10684,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s76, s77)) | until2p23(s77) | (~xuntil2p24(s76))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10683, 10682])).
% 1.95/1.82 tff(10685,plain,
% 1.95/1.82 (until2p23(s77) | (~xuntil2p24(s76))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10684, 6470, 10461])).
% 1.95/1.82 tff(10686,plain,
% 1.95/1.82 (~xuntil2p24(s76)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10685, 10681])).
% 1.95/1.82 tff(10687,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s76) | xuntil2p24(s76) | (~until2p23(s76)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s76) | xuntil2p24(s76) | (~until2p23(s76)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10688,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s76) | xuntil2p24(s76) | (~until2p23(s76)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10689,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s76) | xuntil2p24(s76) | (~until2p23(s76))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 1.95/1.82 tff(10690,plain,
% 1.95/1.82 (xuntil2p24(s76) | (~until2p23(s76))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10689, 10446, 8432])).
% 1.95/1.82 tff(10691,plain,
% 1.95/1.82 (~until2p23(s76)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10690, 10686])).
% 1.95/1.82 tff(10692,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s75, s76)) | until2p23(s76) | (~xuntil2p24(s75)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s75, s76)) | until2p23(s76) | (~xuntil2p24(s75)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10693,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s75, s76)) | until2p23(s76) | (~xuntil2p24(s75)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10694,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s75, s76)) | until2p23(s76) | (~xuntil2p24(s75))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 1.95/1.82 tff(10695,plain,
% 1.95/1.82 (until2p23(s76) | (~xuntil2p24(s75))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10694, 6381, 10461])).
% 1.95/1.82 tff(10696,plain,
% 1.95/1.82 (~xuntil2p24(s75)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10695, 10691])).
% 1.95/1.82 tff(10697,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s75) | xuntil2p24(s75) | (~until2p23(s75)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s75) | xuntil2p24(s75) | (~until2p23(s75)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10698,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s75) | xuntil2p24(s75) | (~until2p23(s75)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10699,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s75) | xuntil2p24(s75) | (~until2p23(s75))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10698, 10697])).
% 1.95/1.82 tff(10700,plain,
% 1.95/1.82 (xuntil2p24(s75) | (~until2p23(s75))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10699, 10446, 8440])).
% 1.95/1.82 tff(10701,plain,
% 1.95/1.82 (~until2p23(s75)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10700, 10696])).
% 1.95/1.82 tff(10702,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s74, s75)) | until2p23(s75) | (~xuntil2p24(s74)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s74, s75)) | until2p23(s75) | (~xuntil2p24(s74)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10703,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s74, s75)) | until2p23(s75) | (~xuntil2p24(s74)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10704,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s74, s75)) | until2p23(s75) | (~xuntil2p24(s74))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10703, 10702])).
% 1.95/1.82 tff(10705,plain,
% 1.95/1.82 (until2p23(s75) | (~xuntil2p24(s74))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10704, 6306, 10461])).
% 1.95/1.82 tff(10706,plain,
% 1.95/1.82 (~xuntil2p24(s74)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10705, 10701])).
% 1.95/1.82 tff(10707,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s74) | xuntil2p24(s74) | (~until2p23(s74)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s74) | xuntil2p24(s74) | (~until2p23(s74)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10708,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s74) | xuntil2p24(s74) | (~until2p23(s74)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10709,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s74) | xuntil2p24(s74) | (~until2p23(s74))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 1.95/1.82 tff(10710,plain,
% 1.95/1.82 (xuntil2p24(s74) | (~until2p23(s74))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10709, 10446, 10078])).
% 1.95/1.82 tff(10711,plain,
% 1.95/1.82 (~until2p23(s74)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10710, 10706])).
% 1.95/1.82 tff(10712,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s73, s74)) | until2p23(s74) | (~xuntil2p24(s73)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s73, s74)) | until2p23(s74) | (~xuntil2p24(s73)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10713,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s73, s74)) | until2p23(s74) | (~xuntil2p24(s73)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10714,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s73, s74)) | until2p23(s74) | (~xuntil2p24(s73))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 1.95/1.82 tff(10715,plain,
% 1.95/1.82 (until2p23(s74) | (~xuntil2p24(s73))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10714, 6242, 10461])).
% 1.95/1.82 tff(10716,plain,
% 1.95/1.82 (~xuntil2p24(s73)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10715, 10711])).
% 1.95/1.82 tff(10717,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s73) | xuntil2p24(s73) | (~until2p23(s73)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s73) | xuntil2p24(s73) | (~until2p23(s73)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10718,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s73) | xuntil2p24(s73) | (~until2p23(s73)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10719,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s73) | xuntil2p24(s73) | (~until2p23(s73))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10718, 10717])).
% 1.95/1.82 tff(10720,plain,
% 1.95/1.82 (xuntil2p24(s73) | (~until2p23(s73))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10719, 10446, 8456])).
% 1.95/1.82 tff(10721,plain,
% 1.95/1.82 (~until2p23(s73)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10720, 10716])).
% 1.95/1.82 tff(10722,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s72, s73)) | until2p23(s73) | (~xuntil2p24(s72)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s72, s73)) | until2p23(s73) | (~xuntil2p24(s72)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10723,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s72, s73)) | until2p23(s73) | (~xuntil2p24(s72)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10724,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s72, s73)) | until2p23(s73) | (~xuntil2p24(s72))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10723, 10722])).
% 1.95/1.82 tff(10725,plain,
% 1.95/1.82 (until2p23(s73) | (~xuntil2p24(s72))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10724, 6147, 10461])).
% 1.95/1.82 tff(10726,plain,
% 1.95/1.82 (~xuntil2p24(s72)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10725, 10721])).
% 1.95/1.82 tff(10727,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s72) | xuntil2p24(s72) | (~until2p23(s72)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s72) | xuntil2p24(s72) | (~until2p23(s72)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10728,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s72) | xuntil2p24(s72) | (~until2p23(s72)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10729,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s72) | xuntil2p24(s72) | (~until2p23(s72))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10728, 10727])).
% 1.95/1.82 tff(10730,plain,
% 1.95/1.82 (xuntil2p24(s72) | (~until2p23(s72))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10729, 10446, 8465])).
% 1.95/1.82 tff(10731,plain,
% 1.95/1.82 (~until2p23(s72)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10730, 10726])).
% 1.95/1.82 tff(10732,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s71, s72)) | until2p23(s72) | (~xuntil2p24(s71)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s71, s72)) | until2p23(s72) | (~xuntil2p24(s71)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10733,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s71, s72)) | until2p23(s72) | (~xuntil2p24(s71)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10734,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s71, s72)) | until2p23(s72) | (~xuntil2p24(s71))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10733, 10732])).
% 1.95/1.82 tff(10735,plain,
% 1.95/1.82 (until2p23(s72) | (~xuntil2p24(s71))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10734, 6086, 10461])).
% 1.95/1.82 tff(10736,plain,
% 1.95/1.82 (~xuntil2p24(s71)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10735, 10731])).
% 1.95/1.82 tff(10737,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s71) | xuntil2p24(s71) | (~until2p23(s71)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s71) | xuntil2p24(s71) | (~until2p23(s71)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10738,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s71) | xuntil2p24(s71) | (~until2p23(s71)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10739,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s71) | xuntil2p24(s71) | (~until2p23(s71))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10738, 10737])).
% 1.95/1.82 tff(10740,plain,
% 1.95/1.82 (xuntil2p24(s71) | (~until2p23(s71))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10739, 10446, 8473])).
% 1.95/1.82 tff(10741,plain,
% 1.95/1.82 (~until2p23(s71)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10740, 10736])).
% 1.95/1.82 tff(10742,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s70, s71)) | until2p23(s71) | (~xuntil2p24(s70)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s70, s71)) | until2p23(s71) | (~xuntil2p24(s70)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10743,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s70, s71)) | until2p23(s71) | (~xuntil2p24(s70)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10744,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s70, s71)) | until2p23(s71) | (~xuntil2p24(s70))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 1.95/1.82 tff(10745,plain,
% 1.95/1.82 (until2p23(s71) | (~xuntil2p24(s70))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10744, 6008, 10461])).
% 1.95/1.82 tff(10746,plain,
% 1.95/1.82 (~xuntil2p24(s70)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10745, 10741])).
% 1.95/1.82 tff(10747,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s70) | xuntil2p24(s70) | (~until2p23(s70)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s70) | xuntil2p24(s70) | (~until2p23(s70)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10748,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s70) | xuntil2p24(s70) | (~until2p23(s70)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10749,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s70) | xuntil2p24(s70) | (~until2p23(s70))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 1.95/1.82 tff(10750,plain,
% 1.95/1.82 (xuntil2p24(s70) | (~until2p23(s70))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10749, 10446, 10024])).
% 1.95/1.82 tff(10751,plain,
% 1.95/1.82 (~until2p23(s70)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10750, 10746])).
% 1.95/1.82 tff(10752,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s69, s70)) | until2p23(s70) | (~xuntil2p24(s69)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s69, s70)) | until2p23(s70) | (~xuntil2p24(s69)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10753,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s69, s70)) | until2p23(s70) | (~xuntil2p24(s69)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10754,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s69, s70)) | until2p23(s70) | (~xuntil2p24(s69))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 1.95/1.82 tff(10755,plain,
% 1.95/1.82 (until2p23(s70) | (~xuntil2p24(s69))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10754, 5909, 10461])).
% 1.95/1.82 tff(10756,plain,
% 1.95/1.82 (~xuntil2p24(s69)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10755, 10751])).
% 1.95/1.82 tff(10757,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s69) | xuntil2p24(s69) | (~until2p23(s69)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s69) | xuntil2p24(s69) | (~until2p23(s69)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10758,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s69) | xuntil2p24(s69) | (~until2p23(s69)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10759,plain,
% 1.95/1.82 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s69) | xuntil2p24(s69) | (~until2p23(s69))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 1.95/1.82 tff(10760,plain,
% 1.95/1.82 (xuntil2p24(s69) | (~until2p23(s69))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10759, 10446, 8489])).
% 1.95/1.82 tff(10761,plain,
% 1.95/1.82 (~until2p23(s69)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10760, 10756])).
% 1.95/1.82 tff(10762,plain,
% 1.95/1.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s68, s69)) | until2p23(s69) | (~xuntil2p24(s68)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s68, s69)) | until2p23(s69) | (~xuntil2p24(s68)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.82 tff(10763,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s68, s69)) | until2p23(s69) | (~xuntil2p24(s68)))),
% 1.95/1.82 inference(quant_inst,[status(thm)],[])).
% 1.95/1.82 tff(10764,plain,
% 1.95/1.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s68, s69)) | until2p23(s69) | (~xuntil2p24(s68))),
% 1.95/1.82 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 1.95/1.82 tff(10765,plain,
% 1.95/1.82 (until2p23(s69) | (~xuntil2p24(s68))),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10764, 5842, 10461])).
% 1.95/1.82 tff(10766,plain,
% 1.95/1.82 (~xuntil2p24(s68)),
% 1.95/1.82 inference(unit_resolution,[status(thm)],[10765, 10761])).
% 1.95/1.82 tff(10767,plain,
% 1.95/1.82 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s68) | xuntil2p24(s68) | (~until2p23(s68)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s68) | xuntil2p24(s68) | (~until2p23(s68)))),
% 1.95/1.82 inference(rewrite,[status(thm)],[])).
% 1.95/1.83 tff(10768,plain,
% 1.95/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s68) | xuntil2p24(s68) | (~until2p23(s68)))),
% 1.95/1.83 inference(quant_inst,[status(thm)],[])).
% 1.95/1.83 tff(10769,plain,
% 1.95/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s68) | xuntil2p24(s68) | (~until2p23(s68))),
% 1.95/1.83 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 1.95/1.83 tff(10770,plain,
% 1.95/1.83 (xuntil2p24(s68) | (~until2p23(s68))),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10769, 10446, 8498])).
% 1.95/1.83 tff(10771,plain,
% 1.95/1.83 (~until2p23(s68)),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10770, 10766])).
% 1.95/1.83 tff(10772,plain,
% 1.95/1.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s67, s68)) | until2p23(s68) | (~xuntil2p24(s67)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s67, s68)) | until2p23(s68) | (~xuntil2p24(s67)))),
% 1.95/1.83 inference(rewrite,[status(thm)],[])).
% 1.95/1.83 tff(10773,plain,
% 1.95/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s67, s68)) | until2p23(s68) | (~xuntil2p24(s67)))),
% 1.95/1.83 inference(quant_inst,[status(thm)],[])).
% 1.95/1.83 tff(10774,plain,
% 1.95/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s67, s68)) | until2p23(s68) | (~xuntil2p24(s67))),
% 1.95/1.83 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 1.95/1.83 tff(10775,plain,
% 1.95/1.83 (until2p23(s68) | (~xuntil2p24(s67))),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10774, 5753, 10461])).
% 1.95/1.83 tff(10776,plain,
% 1.95/1.83 (~xuntil2p24(s67)),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10775, 10771])).
% 1.95/1.83 tff(10777,plain,
% 1.95/1.83 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s67) | xuntil2p24(s67) | (~until2p23(s67)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s67) | xuntil2p24(s67) | (~until2p23(s67)))),
% 1.95/1.83 inference(rewrite,[status(thm)],[])).
% 1.95/1.83 tff(10778,plain,
% 1.95/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s67) | xuntil2p24(s67) | (~until2p23(s67)))),
% 1.95/1.83 inference(quant_inst,[status(thm)],[])).
% 1.95/1.83 tff(10779,plain,
% 1.95/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s67) | xuntil2p24(s67) | (~until2p23(s67))),
% 1.95/1.83 inference(modus_ponens,[status(thm)],[10778, 10777])).
% 1.95/1.83 tff(10780,plain,
% 1.95/1.83 (xuntil2p24(s67) | (~until2p23(s67))),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10779, 10446, 8506])).
% 1.95/1.83 tff(10781,plain,
% 1.95/1.83 (~until2p23(s67)),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10780, 10776])).
% 1.95/1.83 tff(10782,plain,
% 1.95/1.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s66, s67)) | until2p23(s67) | (~xuntil2p24(s66)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s66, s67)) | until2p23(s67) | (~xuntil2p24(s66)))),
% 1.95/1.83 inference(rewrite,[status(thm)],[])).
% 1.95/1.83 tff(10783,plain,
% 1.95/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s66, s67)) | until2p23(s67) | (~xuntil2p24(s66)))),
% 1.95/1.83 inference(quant_inst,[status(thm)],[])).
% 1.95/1.83 tff(10784,plain,
% 1.95/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s66, s67)) | until2p23(s67) | (~xuntil2p24(s66))),
% 1.95/1.83 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 1.95/1.83 tff(10785,plain,
% 1.95/1.83 (until2p23(s67) | (~xuntil2p24(s66))),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10784, 5678, 10461])).
% 1.95/1.83 tff(10786,plain,
% 1.95/1.83 (~xuntil2p24(s66)),
% 1.95/1.83 inference(unit_resolution,[status(thm)],[10785, 10781])).
% 1.95/1.83 tff(10787,plain,
% 1.95/1.83 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s66) | xuntil2p24(s66) | (~until2p23(s66)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s66) | xuntil2p24(s66) | (~until2p23(s66)))),
% 1.95/1.83 inference(rewrite,[status(thm)],[])).
% 1.95/1.83 tff(10788,plain,
% 1.95/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s66) | xuntil2p24(s66) | (~until2p23(s66)))),
% 1.95/1.83 inference(quant_inst,[status(thm)],[])).
% 1.95/1.83 tff(10789,plain,
% 1.95/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s66) | xuntil2p24(s66) | (~until2p23(s66))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10788, 10787])).
% 2.00/1.83 tff(10790,plain,
% 2.00/1.83 (xuntil2p24(s66) | (~until2p23(s66))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10789, 10446, 9970])).
% 2.00/1.83 tff(10791,plain,
% 2.00/1.83 (~until2p23(s66)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10790, 10786])).
% 2.00/1.83 tff(10792,plain,
% 2.00/1.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s65, s66)) | until2p23(s66) | (~xuntil2p24(s65)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s65, s66)) | until2p23(s66) | (~xuntil2p24(s65)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10793,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s65, s66)) | until2p23(s66) | (~xuntil2p24(s65)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10794,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s65, s66)) | until2p23(s66) | (~xuntil2p24(s65))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10793, 10792])).
% 2.00/1.83 tff(10795,plain,
% 2.00/1.83 (until2p23(s66) | (~xuntil2p24(s65))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10794, 5614, 10461])).
% 2.00/1.83 tff(10796,plain,
% 2.00/1.83 (~xuntil2p24(s65)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10795, 10791])).
% 2.00/1.83 tff(10797,plain,
% 2.00/1.83 (((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s65) | xuntil2p24(s65) | (~until2p23(s65)))) <=> ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s65) | xuntil2p24(s65) | (~until2p23(s65)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10798,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s65) | xuntil2p24(s65) | (~until2p23(s65)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10799,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s65) | xuntil2p24(s65) | (~until2p23(s65))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 2.00/1.83 tff(10800,plain,
% 2.00/1.83 (xuntil2p24(s65) | (~until2p23(s65))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10799, 10446, 8522])).
% 2.00/1.83 tff(10801,plain,
% 2.00/1.83 (~until2p23(s65)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10800, 10796])).
% 2.00/1.83 tff(10802,plain,
% 2.00/1.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s64, s65)) | until2p23(s65) | (~xuntil2p24(s64)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s64, s65)) | until2p23(s65) | (~xuntil2p24(s64)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10803,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s64, s65)) | until2p23(s65) | (~xuntil2p24(s64)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10804,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s64, s65)) | until2p23(s65) | (~xuntil2p24(s64))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10803, 10802])).
% 2.00/1.83 tff(10805,plain,
% 2.00/1.83 (until2p23(s65) | (~xuntil2p24(s64))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10804, 5519, 10461])).
% 2.00/1.83 tff(10806,plain,
% 2.00/1.83 (~xuntil2p24(s64)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10805, 10801])).
% 2.00/1.83 tff(10807,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10808,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s64) | xuntil2p24(s64) | (~until2p23(s64)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10809,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s64) | xuntil2p24(s64) | (~until2p23(s64))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10808, 10807])).
% 2.00/1.83 tff(10810,plain,
% 2.00/1.83 (xuntil2p24(s64) | (~until2p23(s64))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10809, 10446, 8531])).
% 2.00/1.83 tff(10811,plain,
% 2.00/1.83 (~until2p23(s64)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10810, 10806])).
% 2.00/1.83 tff(10812,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10813,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s63, s64)) | until2p23(s64) | (~xuntil2p24(s63)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10814,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s63, s64)) | until2p23(s64) | (~xuntil2p24(s63))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10813, 10812])).
% 2.00/1.83 tff(10815,plain,
% 2.00/1.83 (until2p23(s64) | (~xuntil2p24(s63))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10814, 5458, 10461])).
% 2.00/1.83 tff(10816,plain,
% 2.00/1.83 (~xuntil2p24(s63)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10815, 10811])).
% 2.00/1.83 tff(10817,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10818,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s63) | xuntil2p24(s63) | (~until2p23(s63)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10819,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s63) | xuntil2p24(s63) | (~until2p23(s63))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 2.00/1.83 tff(10820,plain,
% 2.00/1.83 (xuntil2p24(s63) | (~until2p23(s63))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10819, 10446, 8539])).
% 2.00/1.83 tff(10821,plain,
% 2.00/1.83 (~until2p23(s63)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10820, 10816])).
% 2.00/1.83 tff(10822,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10823,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s62, s63)) | until2p23(s63) | (~xuntil2p24(s62)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10824,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s62, s63)) | until2p23(s63) | (~xuntil2p24(s62))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 2.00/1.83 tff(10825,plain,
% 2.00/1.83 (until2p23(s63) | (~xuntil2p24(s62))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10824, 5380, 10461])).
% 2.00/1.83 tff(10826,plain,
% 2.00/1.83 (~xuntil2p24(s62)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10825, 10821])).
% 2.00/1.83 tff(10827,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10828,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s62) | xuntil2p24(s62) | (~until2p23(s62)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10829,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s62) | xuntil2p24(s62) | (~until2p23(s62))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10828, 10827])).
% 2.00/1.83 tff(10830,plain,
% 2.00/1.83 (xuntil2p24(s62) | (~until2p23(s62))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10829, 10446, 9916])).
% 2.00/1.83 tff(10831,plain,
% 2.00/1.83 (~until2p23(s62)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10830, 10826])).
% 2.00/1.83 tff(10832,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10833,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s61, s62)) | until2p23(s62) | (~xuntil2p24(s61)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10834,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s61, s62)) | until2p23(s62) | (~xuntil2p24(s61))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10833, 10832])).
% 2.00/1.83 tff(10835,plain,
% 2.00/1.83 (until2p23(s62) | (~xuntil2p24(s61))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10834, 5281, 10461])).
% 2.00/1.83 tff(10836,plain,
% 2.00/1.83 (~xuntil2p24(s61)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10835, 10831])).
% 2.00/1.83 tff(10837,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10838,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s61) | xuntil2p24(s61) | (~until2p23(s61)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10839,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s61) | xuntil2p24(s61) | (~until2p23(s61))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 2.00/1.83 tff(10840,plain,
% 2.00/1.83 (xuntil2p24(s61) | (~until2p23(s61))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10839, 10446, 8555])).
% 2.00/1.83 tff(10841,plain,
% 2.00/1.83 (~until2p23(s61)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10840, 10836])).
% 2.00/1.83 tff(10842,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10843,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s60, s61)) | until2p23(s61) | (~xuntil2p24(s60)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10844,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s60, s61)) | until2p23(s61) | (~xuntil2p24(s60))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10843, 10842])).
% 2.00/1.83 tff(10845,plain,
% 2.00/1.83 (until2p23(s61) | (~xuntil2p24(s60))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10844, 5214, 10461])).
% 2.00/1.83 tff(10846,plain,
% 2.00/1.83 (~xuntil2p24(s60)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10845, 10841])).
% 2.00/1.83 tff(10847,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10848,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s60) | xuntil2p24(s60) | (~until2p23(s60)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10849,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s60) | xuntil2p24(s60) | (~until2p23(s60))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 2.00/1.83 tff(10850,plain,
% 2.00/1.83 (xuntil2p24(s60) | (~until2p23(s60))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10849, 10446, 8564])).
% 2.00/1.83 tff(10851,plain,
% 2.00/1.83 (~until2p23(s60)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10850, 10846])).
% 2.00/1.83 tff(10852,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10853,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s59, s60)) | until2p23(s60) | (~xuntil2p24(s59)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10854,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s59, s60)) | until2p23(s60) | (~xuntil2p24(s59))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10853, 10852])).
% 2.00/1.83 tff(10855,plain,
% 2.00/1.83 (until2p23(s60) | (~xuntil2p24(s59))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10854, 5125, 10461])).
% 2.00/1.83 tff(10856,plain,
% 2.00/1.83 (~xuntil2p24(s59)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10855, 10851])).
% 2.00/1.83 tff(10857,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10858,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s59) | xuntil2p24(s59) | (~until2p23(s59)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10859,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s59) | xuntil2p24(s59) | (~until2p23(s59))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10858, 10857])).
% 2.00/1.83 tff(10860,plain,
% 2.00/1.83 (xuntil2p24(s59) | (~until2p23(s59))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10859, 10446, 8572])).
% 2.00/1.83 tff(10861,plain,
% 2.00/1.83 (~until2p23(s59)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10860, 10856])).
% 2.00/1.83 tff(10862,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10863,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s58, s59)) | until2p23(s59) | (~xuntil2p24(s58)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10864,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s58, s59)) | until2p23(s59) | (~xuntil2p24(s58))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10863, 10862])).
% 2.00/1.83 tff(10865,plain,
% 2.00/1.83 (until2p23(s59) | (~xuntil2p24(s58))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10864, 5050, 10461])).
% 2.00/1.83 tff(10866,plain,
% 2.00/1.83 (~xuntil2p24(s58)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10865, 10861])).
% 2.00/1.83 tff(10867,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10868,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s58) | xuntil2p24(s58) | (~until2p23(s58)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10869,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s58) | xuntil2p24(s58) | (~until2p23(s58))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 2.00/1.83 tff(10870,plain,
% 2.00/1.83 (xuntil2p24(s58) | (~until2p23(s58))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10869, 10446, 9862])).
% 2.00/1.83 tff(10871,plain,
% 2.00/1.83 (~until2p23(s58)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10870, 10866])).
% 2.00/1.83 tff(10872,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10873,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s57, s58)) | until2p23(s58) | (~xuntil2p24(s57)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10874,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s57, s58)) | until2p23(s58) | (~xuntil2p24(s57))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10873, 10872])).
% 2.00/1.83 tff(10875,plain,
% 2.00/1.83 (until2p23(s58) | (~xuntil2p24(s57))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10874, 4986, 10461])).
% 2.00/1.83 tff(10876,plain,
% 2.00/1.83 (~xuntil2p24(s57)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10875, 10871])).
% 2.00/1.83 tff(10877,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10878,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s57) | xuntil2p24(s57) | (~until2p23(s57)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10879,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s57) | xuntil2p24(s57) | (~until2p23(s57))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 2.00/1.83 tff(10880,plain,
% 2.00/1.83 (xuntil2p24(s57) | (~until2p23(s57))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10879, 10446, 8588])).
% 2.00/1.83 tff(10881,plain,
% 2.00/1.83 (~until2p23(s57)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10880, 10876])).
% 2.00/1.83 tff(10882,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10883,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s56, s57)) | until2p23(s57) | (~xuntil2p24(s56)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10884,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s56, s57)) | until2p23(s57) | (~xuntil2p24(s56))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10883, 10882])).
% 2.00/1.83 tff(10885,plain,
% 2.00/1.83 (until2p23(s57) | (~xuntil2p24(s56))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10884, 4891, 10461])).
% 2.00/1.83 tff(10886,plain,
% 2.00/1.83 (~xuntil2p24(s56)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10885, 10881])).
% 2.00/1.83 tff(10887,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10888,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s56) | xuntil2p24(s56) | (~until2p23(s56)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10889,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s56) | xuntil2p24(s56) | (~until2p23(s56))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10888, 10887])).
% 2.00/1.83 tff(10890,plain,
% 2.00/1.83 (xuntil2p24(s56) | (~until2p23(s56))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10889, 10446, 8597])).
% 2.00/1.83 tff(10891,plain,
% 2.00/1.83 (~until2p23(s56)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10890, 10886])).
% 2.00/1.83 tff(10892,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10893,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s55, s56)) | until2p23(s56) | (~xuntil2p24(s55)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10894,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s55, s56)) | until2p23(s56) | (~xuntil2p24(s55))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10893, 10892])).
% 2.00/1.83 tff(10895,plain,
% 2.00/1.83 (until2p23(s56) | (~xuntil2p24(s55))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10894, 4830, 10461])).
% 2.00/1.83 tff(10896,plain,
% 2.00/1.83 (~xuntil2p24(s55)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10895, 10891])).
% 2.00/1.83 tff(10897,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10898,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s55) | xuntil2p24(s55) | (~until2p23(s55)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10899,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s55) | xuntil2p24(s55) | (~until2p23(s55))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10898, 10897])).
% 2.00/1.83 tff(10900,plain,
% 2.00/1.83 (xuntil2p24(s55) | (~until2p23(s55))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10899, 10446, 8605])).
% 2.00/1.83 tff(10901,plain,
% 2.00/1.83 (~until2p23(s55)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10900, 10896])).
% 2.00/1.83 tff(10902,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10903,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s54, s55)) | until2p23(s55) | (~xuntil2p24(s54)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10904,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s54, s55)) | until2p23(s55) | (~xuntil2p24(s54))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10903, 10902])).
% 2.00/1.83 tff(10905,plain,
% 2.00/1.83 (until2p23(s55) | (~xuntil2p24(s54))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10904, 4752, 10461])).
% 2.00/1.83 tff(10906,plain,
% 2.00/1.83 (~xuntil2p24(s54)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10905, 10901])).
% 2.00/1.83 tff(10907,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10908,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s54) | xuntil2p24(s54) | (~until2p23(s54)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10909,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s54) | xuntil2p24(s54) | (~until2p23(s54))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 2.00/1.83 tff(10910,plain,
% 2.00/1.83 (xuntil2p24(s54) | (~until2p23(s54))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10909, 10446, 9808])).
% 2.00/1.83 tff(10911,plain,
% 2.00/1.83 (~until2p23(s54)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10910, 10906])).
% 2.00/1.83 tff(10912,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10913,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s53, s54)) | until2p23(s54) | (~xuntil2p24(s53)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10914,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s53, s54)) | until2p23(s54) | (~xuntil2p24(s53))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10913, 10912])).
% 2.00/1.83 tff(10915,plain,
% 2.00/1.83 (until2p23(s54) | (~xuntil2p24(s53))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10914, 4653, 10461])).
% 2.00/1.83 tff(10916,plain,
% 2.00/1.83 (~xuntil2p24(s53)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10915, 10911])).
% 2.00/1.83 tff(10917,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10918,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s53) | xuntil2p24(s53) | (~until2p23(s53)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10919,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s53) | xuntil2p24(s53) | (~until2p23(s53))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10918, 10917])).
% 2.00/1.83 tff(10920,plain,
% 2.00/1.83 (xuntil2p24(s53) | (~until2p23(s53))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10919, 10446, 8621])).
% 2.00/1.83 tff(10921,plain,
% 2.00/1.83 (~until2p23(s53)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10920, 10916])).
% 2.00/1.83 tff(10922,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10923,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s52, s53)) | until2p23(s53) | (~xuntil2p24(s52)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10924,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s52, s53)) | until2p23(s53) | (~xuntil2p24(s52))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10923, 10922])).
% 2.00/1.83 tff(10925,plain,
% 2.00/1.83 (until2p23(s53) | (~xuntil2p24(s52))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10924, 4586, 10461])).
% 2.00/1.83 tff(10926,plain,
% 2.00/1.83 (~xuntil2p24(s52)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10925, 10921])).
% 2.00/1.83 tff(10927,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10928,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s52) | xuntil2p24(s52) | (~until2p23(s52)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10929,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s52) | xuntil2p24(s52) | (~until2p23(s52))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 2.00/1.83 tff(10930,plain,
% 2.00/1.83 (xuntil2p24(s52) | (~until2p23(s52))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10929, 10446, 8630])).
% 2.00/1.83 tff(10931,plain,
% 2.00/1.83 (~until2p23(s52)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10930, 10926])).
% 2.00/1.83 tff(10932,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10933,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s51, s52)) | until2p23(s52) | (~xuntil2p24(s51)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10934,plain,
% 2.00/1.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s51, s52)) | until2p23(s52) | (~xuntil2p24(s51))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10933, 10932])).
% 2.00/1.83 tff(10935,plain,
% 2.00/1.83 (until2p23(s52) | (~xuntil2p24(s51))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10934, 4497, 10461])).
% 2.00/1.83 tff(10936,plain,
% 2.00/1.83 (~xuntil2p24(s51)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10935, 10931])).
% 2.00/1.83 tff(10937,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.83 inference(rewrite,[status(thm)],[])).
% 2.00/1.83 tff(10938,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s51) | xuntil2p24(s51) | (~until2p23(s51)))),
% 2.00/1.83 inference(quant_inst,[status(thm)],[])).
% 2.00/1.83 tff(10939,plain,
% 2.00/1.83 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s51) | xuntil2p24(s51) | (~until2p23(s51))),
% 2.00/1.83 inference(modus_ponens,[status(thm)],[10938, 10937])).
% 2.00/1.83 tff(10940,plain,
% 2.00/1.83 (xuntil2p24(s51) | (~until2p23(s51))),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10939, 10446, 8638])).
% 2.00/1.83 tff(10941,plain,
% 2.00/1.83 (~until2p23(s51)),
% 2.00/1.83 inference(unit_resolution,[status(thm)],[10940, 10936])).
% 2.00/1.83 tff(10942,plain,
% 2.00/1.83 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10943,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s50, s51)) | until2p23(s51) | (~xuntil2p24(s50)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10944,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s50, s51)) | until2p23(s51) | (~xuntil2p24(s50))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 2.00/1.84 tff(10945,plain,
% 2.00/1.84 (until2p23(s51) | (~xuntil2p24(s50))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10944, 4422, 10461])).
% 2.00/1.84 tff(10946,plain,
% 2.00/1.84 (~xuntil2p24(s50)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10945, 10941])).
% 2.00/1.84 tff(10947,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10948,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s50) | xuntil2p24(s50) | (~until2p23(s50)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10949,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s50) | xuntil2p24(s50) | (~until2p23(s50))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10948, 10947])).
% 2.00/1.84 tff(10950,plain,
% 2.00/1.84 (xuntil2p24(s50) | (~until2p23(s50))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10949, 10446, 9754])).
% 2.00/1.84 tff(10951,plain,
% 2.00/1.84 (~until2p23(s50)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10950, 10946])).
% 2.00/1.84 tff(10952,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10953,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s49, s50)) | until2p23(s50) | (~xuntil2p24(s49)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10954,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s49, s50)) | until2p23(s50) | (~xuntil2p24(s49))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10953, 10952])).
% 2.00/1.84 tff(10955,plain,
% 2.00/1.84 (until2p23(s50) | (~xuntil2p24(s49))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10954, 4358, 10461])).
% 2.00/1.84 tff(10956,plain,
% 2.00/1.84 (~xuntil2p24(s49)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10955, 10951])).
% 2.00/1.84 tff(10957,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10958,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s49) | xuntil2p24(s49) | (~until2p23(s49)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10959,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s49) | xuntil2p24(s49) | (~until2p23(s49))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 2.00/1.84 tff(10960,plain,
% 2.00/1.84 (xuntil2p24(s49) | (~until2p23(s49))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10959, 10446, 8654])).
% 2.00/1.84 tff(10961,plain,
% 2.00/1.84 (~until2p23(s49)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10960, 10956])).
% 2.00/1.84 tff(10962,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10963,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s48, s49)) | until2p23(s49) | (~xuntil2p24(s48)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10964,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s48, s49)) | until2p23(s49) | (~xuntil2p24(s48))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 2.00/1.84 tff(10965,plain,
% 2.00/1.84 (until2p23(s49) | (~xuntil2p24(s48))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10964, 4263, 10461])).
% 2.00/1.84 tff(10966,plain,
% 2.00/1.84 (~xuntil2p24(s48)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10965, 10961])).
% 2.00/1.84 tff(10967,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10968,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s48) | xuntil2p24(s48) | (~until2p23(s48)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10969,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s48) | xuntil2p24(s48) | (~until2p23(s48))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10968, 10967])).
% 2.00/1.84 tff(10970,plain,
% 2.00/1.84 (xuntil2p24(s48) | (~until2p23(s48))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10969, 10446, 8663])).
% 2.00/1.84 tff(10971,plain,
% 2.00/1.84 (~until2p23(s48)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10970, 10966])).
% 2.00/1.84 tff(10972,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10973,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s47, s48)) | until2p23(s48) | (~xuntil2p24(s47)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10974,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s47, s48)) | until2p23(s48) | (~xuntil2p24(s47))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10973, 10972])).
% 2.00/1.84 tff(10975,plain,
% 2.00/1.84 (until2p23(s48) | (~xuntil2p24(s47))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10974, 4202, 10461])).
% 2.00/1.84 tff(10976,plain,
% 2.00/1.84 (~xuntil2p24(s47)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10975, 10971])).
% 2.00/1.84 tff(10977,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10978,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s47) | xuntil2p24(s47) | (~until2p23(s47)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10979,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s47) | xuntil2p24(s47) | (~until2p23(s47))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 2.00/1.84 tff(10980,plain,
% 2.00/1.84 (xuntil2p24(s47) | (~until2p23(s47))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10979, 10446, 8671])).
% 2.00/1.84 tff(10981,plain,
% 2.00/1.84 (~until2p23(s47)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10980, 10976])).
% 2.00/1.84 tff(10982,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10983,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s46, s47)) | until2p23(s47) | (~xuntil2p24(s46)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10984,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s46, s47)) | until2p23(s47) | (~xuntil2p24(s46))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10983, 10982])).
% 2.00/1.84 tff(10985,plain,
% 2.00/1.84 (until2p23(s47) | (~xuntil2p24(s46))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10984, 4124, 10461])).
% 2.00/1.84 tff(10986,plain,
% 2.00/1.84 (~xuntil2p24(s46)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10985, 10981])).
% 2.00/1.84 tff(10987,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10988,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s46) | xuntil2p24(s46) | (~until2p23(s46)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10989,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s46) | xuntil2p24(s46) | (~until2p23(s46))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10988, 10987])).
% 2.00/1.84 tff(10990,plain,
% 2.00/1.84 (xuntil2p24(s46) | (~until2p23(s46))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10989, 10446, 9700])).
% 2.00/1.84 tff(10991,plain,
% 2.00/1.84 (~until2p23(s46)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10990, 10986])).
% 2.00/1.84 tff(10992,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10993,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s45, s46)) | until2p23(s46) | (~xuntil2p24(s45)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10994,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s45, s46)) | until2p23(s46) | (~xuntil2p24(s45))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10993, 10992])).
% 2.00/1.84 tff(10995,plain,
% 2.00/1.84 (until2p23(s46) | (~xuntil2p24(s45))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10994, 4025, 10461])).
% 2.00/1.84 tff(10996,plain,
% 2.00/1.84 (~xuntil2p24(s45)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10995, 10991])).
% 2.00/1.84 tff(10997,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(10998,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s45) | xuntil2p24(s45) | (~until2p23(s45)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(10999,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s45) | xuntil2p24(s45) | (~until2p23(s45))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 2.00/1.84 tff(11000,plain,
% 2.00/1.84 (xuntil2p24(s45) | (~until2p23(s45))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[10999, 10446, 8687])).
% 2.00/1.84 tff(11001,plain,
% 2.00/1.84 (~until2p23(s45)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11000, 10996])).
% 2.00/1.84 tff(11002,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11003,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s44, s45)) | until2p23(s45) | (~xuntil2p24(s44)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11004,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s44, s45)) | until2p23(s45) | (~xuntil2p24(s44))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 2.00/1.84 tff(11005,plain,
% 2.00/1.84 (until2p23(s45) | (~xuntil2p24(s44))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11004, 3958, 10461])).
% 2.00/1.84 tff(11006,plain,
% 2.00/1.84 (~xuntil2p24(s44)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11005, 11001])).
% 2.00/1.84 tff(11007,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11008,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s44) | xuntil2p24(s44) | (~until2p23(s44)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11009,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s44) | xuntil2p24(s44) | (~until2p23(s44))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 2.00/1.84 tff(11010,plain,
% 2.00/1.84 (xuntil2p24(s44) | (~until2p23(s44))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11009, 10446, 8696])).
% 2.00/1.84 tff(11011,plain,
% 2.00/1.84 (~until2p23(s44)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11010, 11006])).
% 2.00/1.84 tff(11012,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11013,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s43, s44)) | until2p23(s44) | (~xuntil2p24(s43)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11014,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s43, s44)) | until2p23(s44) | (~xuntil2p24(s43))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 2.00/1.84 tff(11015,plain,
% 2.00/1.84 (until2p23(s44) | (~xuntil2p24(s43))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11014, 3869, 10461])).
% 2.00/1.84 tff(11016,plain,
% 2.00/1.84 (~xuntil2p24(s43)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11015, 11011])).
% 2.00/1.84 tff(11017,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11018,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s43) | xuntil2p24(s43) | (~until2p23(s43)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11019,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s43) | xuntil2p24(s43) | (~until2p23(s43))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 2.00/1.84 tff(11020,plain,
% 2.00/1.84 (xuntil2p24(s43) | (~until2p23(s43))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11019, 10446, 8704])).
% 2.00/1.84 tff(11021,plain,
% 2.00/1.84 (~until2p23(s43)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11020, 11016])).
% 2.00/1.84 tff(11022,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11023,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s42, s43)) | until2p23(s43) | (~xuntil2p24(s42)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11024,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s42, s43)) | until2p23(s43) | (~xuntil2p24(s42))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11023, 11022])).
% 2.00/1.84 tff(11025,plain,
% 2.00/1.84 (until2p23(s43) | (~xuntil2p24(s42))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11024, 3794, 10461])).
% 2.00/1.84 tff(11026,plain,
% 2.00/1.84 (~xuntil2p24(s42)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11025, 11021])).
% 2.00/1.84 tff(11027,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11028,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s42) | xuntil2p24(s42) | (~until2p23(s42)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11029,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s42) | xuntil2p24(s42) | (~until2p23(s42))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11028, 11027])).
% 2.00/1.84 tff(11030,plain,
% 2.00/1.84 (xuntil2p24(s42) | (~until2p23(s42))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11029, 10446, 9646])).
% 2.00/1.84 tff(11031,plain,
% 2.00/1.84 (~until2p23(s42)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11030, 11026])).
% 2.00/1.84 tff(11032,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11033,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s41, s42)) | until2p23(s42) | (~xuntil2p24(s41)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11034,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s41, s42)) | until2p23(s42) | (~xuntil2p24(s41))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 2.00/1.84 tff(11035,plain,
% 2.00/1.84 (until2p23(s42) | (~xuntil2p24(s41))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11034, 3730, 10461])).
% 2.00/1.84 tff(11036,plain,
% 2.00/1.84 (~xuntil2p24(s41)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11035, 11031])).
% 2.00/1.84 tff(11037,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11038,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s41) | xuntil2p24(s41) | (~until2p23(s41)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11039,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s41) | xuntil2p24(s41) | (~until2p23(s41))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11038, 11037])).
% 2.00/1.84 tff(11040,plain,
% 2.00/1.84 (xuntil2p24(s41) | (~until2p23(s41))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11039, 10446, 8720])).
% 2.00/1.84 tff(11041,plain,
% 2.00/1.84 (~until2p23(s41)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11040, 11036])).
% 2.00/1.84 tff(11042,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11043,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s40, s41)) | until2p23(s41) | (~xuntil2p24(s40)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11044,plain,
% 2.00/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s40, s41)) | until2p23(s41) | (~xuntil2p24(s40))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 2.00/1.84 tff(11045,plain,
% 2.00/1.84 (until2p23(s41) | (~xuntil2p24(s40))),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11044, 3635, 10461])).
% 2.00/1.84 tff(11046,plain,
% 2.00/1.84 (~xuntil2p24(s40)),
% 2.00/1.84 inference(unit_resolution,[status(thm)],[11045, 11041])).
% 2.00/1.84 tff(11047,plain,
% 2.00/1.84 (((~![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)))),
% 2.00/1.84 inference(rewrite,[status(thm)],[])).
% 2.00/1.84 tff(11048,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s40) | xuntil2p24(s40) | (~until2p23(s40)))),
% 2.00/1.84 inference(quant_inst,[status(thm)],[])).
% 2.00/1.84 tff(11049,plain,
% 2.00/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s40) | xuntil2p24(s40) | (~until2p23(s40))),
% 2.00/1.84 inference(modus_ponens,[status(thm)],[11048, 11047])).
% 2.00/1.84 tff(11050,plain,
% 2.00/1.84 (xuntil2p24(s40) | (~until2p23(s40))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11049, 10446, 8729])).
% 2.01/1.84 tff(11051,plain,
% 2.01/1.84 (~until2p23(s40)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11050, 11046])).
% 2.01/1.84 tff(11052,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11053,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s39, s40)) | until2p23(s40) | (~xuntil2p24(s39)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11054,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s39, s40)) | until2p23(s40) | (~xuntil2p24(s39))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11053, 11052])).
% 2.01/1.84 tff(11055,plain,
% 2.01/1.84 (until2p23(s40) | (~xuntil2p24(s39))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11054, 3574, 10461])).
% 2.01/1.84 tff(11056,plain,
% 2.01/1.84 (~xuntil2p24(s39)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11055, 11051])).
% 2.01/1.84 tff(11057,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11058,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s39) | xuntil2p24(s39) | (~until2p23(s39)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11059,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s39) | xuntil2p24(s39) | (~until2p23(s39))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 2.01/1.84 tff(11060,plain,
% 2.01/1.84 (xuntil2p24(s39) | (~until2p23(s39))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11059, 10446, 8737])).
% 2.01/1.84 tff(11061,plain,
% 2.01/1.84 (~until2p23(s39)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11060, 11056])).
% 2.01/1.84 tff(11062,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11063,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s38, s39)) | until2p23(s39) | (~xuntil2p24(s38)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11064,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s38, s39)) | until2p23(s39) | (~xuntil2p24(s38))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 2.01/1.84 tff(11065,plain,
% 2.01/1.84 (until2p23(s39) | (~xuntil2p24(s38))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11064, 3496, 10461])).
% 2.01/1.84 tff(11066,plain,
% 2.01/1.84 (~xuntil2p24(s38)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11065, 11061])).
% 2.01/1.84 tff(11067,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11068,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s38) | xuntil2p24(s38) | (~until2p23(s38)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11069,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s38) | xuntil2p24(s38) | (~until2p23(s38))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 2.01/1.84 tff(11070,plain,
% 2.01/1.84 (xuntil2p24(s38) | (~until2p23(s38))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11069, 10446, 9592])).
% 2.01/1.84 tff(11071,plain,
% 2.01/1.84 (~until2p23(s38)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11070, 11066])).
% 2.01/1.84 tff(11072,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11073,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s37, s38)) | until2p23(s38) | (~xuntil2p24(s37)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11074,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s37, s38)) | until2p23(s38) | (~xuntil2p24(s37))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11073, 11072])).
% 2.01/1.84 tff(11075,plain,
% 2.01/1.84 (until2p23(s38) | (~xuntil2p24(s37))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11074, 3397, 10461])).
% 2.01/1.84 tff(11076,plain,
% 2.01/1.84 (~xuntil2p24(s37)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11075, 11071])).
% 2.01/1.84 tff(11077,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11078,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s37) | xuntil2p24(s37) | (~until2p23(s37)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11079,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s37) | xuntil2p24(s37) | (~until2p23(s37))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 2.01/1.84 tff(11080,plain,
% 2.01/1.84 (xuntil2p24(s37) | (~until2p23(s37))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11079, 10446, 8753])).
% 2.01/1.84 tff(11081,plain,
% 2.01/1.84 (~until2p23(s37)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11080, 11076])).
% 2.01/1.84 tff(11082,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11083,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s36, s37)) | until2p23(s37) | (~xuntil2p24(s36)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11084,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s36, s37)) | until2p23(s37) | (~xuntil2p24(s36))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11083, 11082])).
% 2.01/1.84 tff(11085,plain,
% 2.01/1.84 (until2p23(s37) | (~xuntil2p24(s36))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11084, 3330, 10461])).
% 2.01/1.84 tff(11086,plain,
% 2.01/1.84 (~xuntil2p24(s36)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11085, 11081])).
% 2.01/1.84 tff(11087,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11088,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s36) | xuntil2p24(s36) | (~until2p23(s36)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11089,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s36) | xuntil2p24(s36) | (~until2p23(s36))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11088, 11087])).
% 2.01/1.84 tff(11090,plain,
% 2.01/1.84 (xuntil2p24(s36) | (~until2p23(s36))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11089, 10446, 8762])).
% 2.01/1.84 tff(11091,plain,
% 2.01/1.84 (~until2p23(s36)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11090, 11086])).
% 2.01/1.84 tff(11092,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11093,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s35, s36)) | until2p23(s36) | (~xuntil2p24(s35)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11094,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s35, s36)) | until2p23(s36) | (~xuntil2p24(s35))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 2.01/1.84 tff(11095,plain,
% 2.01/1.84 (until2p23(s36) | (~xuntil2p24(s35))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11094, 3241, 10461])).
% 2.01/1.84 tff(11096,plain,
% 2.01/1.84 (~xuntil2p24(s35)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11095, 11091])).
% 2.01/1.84 tff(11097,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11098,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s35) | xuntil2p24(s35) | (~until2p23(s35)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11099,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s35) | xuntil2p24(s35) | (~until2p23(s35))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11098, 11097])).
% 2.01/1.84 tff(11100,plain,
% 2.01/1.84 (xuntil2p24(s35) | (~until2p23(s35))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11099, 10446, 8770])).
% 2.01/1.84 tff(11101,plain,
% 2.01/1.84 (~until2p23(s35)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11100, 11096])).
% 2.01/1.84 tff(11102,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11103,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s34, s35)) | until2p23(s35) | (~xuntil2p24(s34)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11104,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s34, s35)) | until2p23(s35) | (~xuntil2p24(s34))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11103, 11102])).
% 2.01/1.84 tff(11105,plain,
% 2.01/1.84 (until2p23(s35) | (~xuntil2p24(s34))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11104, 3166, 10461])).
% 2.01/1.84 tff(11106,plain,
% 2.01/1.84 (~xuntil2p24(s34)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11105, 11101])).
% 2.01/1.84 tff(11107,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11108,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s34) | xuntil2p24(s34) | (~until2p23(s34)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11109,plain,
% 2.01/1.84 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s34) | xuntil2p24(s34) | (~until2p23(s34))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11108, 11107])).
% 2.01/1.84 tff(11110,plain,
% 2.01/1.84 (xuntil2p24(s34) | (~until2p23(s34))),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11109, 10446, 9538])).
% 2.01/1.84 tff(11111,plain,
% 2.01/1.84 (~until2p23(s34)),
% 2.01/1.84 inference(unit_resolution,[status(thm)],[11110, 11106])).
% 2.01/1.84 tff(11112,plain,
% 2.01/1.84 (((~![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)))),
% 2.01/1.84 inference(rewrite,[status(thm)],[])).
% 2.01/1.84 tff(11113,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s33, s34)) | until2p23(s34) | (~xuntil2p24(s33)))),
% 2.01/1.84 inference(quant_inst,[status(thm)],[])).
% 2.01/1.84 tff(11114,plain,
% 2.01/1.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s33, s34)) | until2p23(s34) | (~xuntil2p24(s33))),
% 2.01/1.84 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 2.01/1.84 tff(11115,plain,
% 2.01/1.84 (until2p23(s34) | (~xuntil2p24(s33))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11114, 3102, 10461])).
% 2.01/1.85 tff(11116,plain,
% 2.01/1.85 (~xuntil2p24(s33)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11115, 11111])).
% 2.01/1.85 tff(11117,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11118,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s33) | xuntil2p24(s33) | (~until2p23(s33)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11119,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s33) | xuntil2p24(s33) | (~until2p23(s33))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11118, 11117])).
% 2.01/1.85 tff(11120,plain,
% 2.01/1.85 (xuntil2p24(s33) | (~until2p23(s33))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11119, 10446, 8786])).
% 2.01/1.85 tff(11121,plain,
% 2.01/1.85 (~until2p23(s33)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11120, 11116])).
% 2.01/1.85 tff(11122,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11123,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s32, s33)) | until2p23(s33) | (~xuntil2p24(s32)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11124,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s32, s33)) | until2p23(s33) | (~xuntil2p24(s32))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 2.01/1.85 tff(11125,plain,
% 2.01/1.85 (until2p23(s33) | (~xuntil2p24(s32))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11124, 3007, 10461])).
% 2.01/1.85 tff(11126,plain,
% 2.01/1.85 (~xuntil2p24(s32)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11125, 11121])).
% 2.01/1.85 tff(11127,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11128,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s32) | xuntil2p24(s32) | (~until2p23(s32)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11129,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s32) | xuntil2p24(s32) | (~until2p23(s32))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11128, 11127])).
% 2.01/1.85 tff(11130,plain,
% 2.01/1.85 (xuntil2p24(s32) | (~until2p23(s32))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11129, 10446, 8795])).
% 2.01/1.85 tff(11131,plain,
% 2.01/1.85 (~until2p23(s32)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11130, 11126])).
% 2.01/1.85 tff(11132,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11133,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s31, s32)) | until2p23(s32) | (~xuntil2p24(s31)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11134,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s31, s32)) | until2p23(s32) | (~xuntil2p24(s31))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 2.01/1.85 tff(11135,plain,
% 2.01/1.85 (until2p23(s32) | (~xuntil2p24(s31))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11134, 2946, 10461])).
% 2.01/1.85 tff(11136,plain,
% 2.01/1.85 (~xuntil2p24(s31)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11135, 11131])).
% 2.01/1.85 tff(11137,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11138,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s31) | xuntil2p24(s31) | (~until2p23(s31)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11139,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s31) | xuntil2p24(s31) | (~until2p23(s31))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11138, 11137])).
% 2.01/1.85 tff(11140,plain,
% 2.01/1.85 (xuntil2p24(s31) | (~until2p23(s31))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11139, 10446, 8803])).
% 2.01/1.85 tff(11141,plain,
% 2.01/1.85 (~until2p23(s31)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11140, 11136])).
% 2.01/1.85 tff(11142,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11143,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s30, s31)) | until2p23(s31) | (~xuntil2p24(s30)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11144,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s30, s31)) | until2p23(s31) | (~xuntil2p24(s30))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 2.01/1.85 tff(11145,plain,
% 2.01/1.85 (until2p23(s31) | (~xuntil2p24(s30))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11144, 2868, 10461])).
% 2.01/1.85 tff(11146,plain,
% 2.01/1.85 (~xuntil2p24(s30)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11145, 11141])).
% 2.01/1.85 tff(11147,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11148,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s30) | xuntil2p24(s30) | (~until2p23(s30)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11149,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s30) | xuntil2p24(s30) | (~until2p23(s30))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11148, 11147])).
% 2.01/1.85 tff(11150,plain,
% 2.01/1.85 (xuntil2p24(s30) | (~until2p23(s30))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11149, 10446, 9484])).
% 2.01/1.85 tff(11151,plain,
% 2.01/1.85 (~until2p23(s30)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11150, 11146])).
% 2.01/1.85 tff(11152,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11153,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s29, s30)) | until2p23(s30) | (~xuntil2p24(s29)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11154,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s29, s30)) | until2p23(s30) | (~xuntil2p24(s29))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 2.01/1.85 tff(11155,plain,
% 2.01/1.85 (until2p23(s30) | (~xuntil2p24(s29))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11154, 2769, 10461])).
% 2.01/1.85 tff(11156,plain,
% 2.01/1.85 (~xuntil2p24(s29)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11155, 11151])).
% 2.01/1.85 tff(11157,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11158,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s29) | xuntil2p24(s29) | (~until2p23(s29)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11159,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s29) | xuntil2p24(s29) | (~until2p23(s29))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 2.01/1.85 tff(11160,plain,
% 2.01/1.85 (xuntil2p24(s29) | (~until2p23(s29))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11159, 10446, 8819])).
% 2.01/1.85 tff(11161,plain,
% 2.01/1.85 (~until2p23(s29)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11160, 11156])).
% 2.01/1.85 tff(11162,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11163,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s28, s29)) | until2p23(s29) | (~xuntil2p24(s28)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11164,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s28, s29)) | until2p23(s29) | (~xuntil2p24(s28))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11163, 11162])).
% 2.01/1.85 tff(11165,plain,
% 2.01/1.85 (until2p23(s29) | (~xuntil2p24(s28))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11164, 2702, 10461])).
% 2.01/1.85 tff(11166,plain,
% 2.01/1.85 (~xuntil2p24(s28)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11165, 11161])).
% 2.01/1.85 tff(11167,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11168,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s28) | xuntil2p24(s28) | (~until2p23(s28)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11169,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s28) | xuntil2p24(s28) | (~until2p23(s28))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 2.01/1.85 tff(11170,plain,
% 2.01/1.85 (xuntil2p24(s28) | (~until2p23(s28))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11169, 10446, 8828])).
% 2.01/1.85 tff(11171,plain,
% 2.01/1.85 (~until2p23(s28)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11170, 11166])).
% 2.01/1.85 tff(11172,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11173,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s27, s28)) | until2p23(s28) | (~xuntil2p24(s27)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11174,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s27, s28)) | until2p23(s28) | (~xuntil2p24(s27))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 2.01/1.85 tff(11175,plain,
% 2.01/1.85 (until2p23(s28) | (~xuntil2p24(s27))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11174, 2613, 10461])).
% 2.01/1.85 tff(11176,plain,
% 2.01/1.85 (~xuntil2p24(s27)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11175, 11171])).
% 2.01/1.85 tff(11177,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11178,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s27) | xuntil2p24(s27) | (~until2p23(s27)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11179,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s27) | xuntil2p24(s27) | (~until2p23(s27))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11178, 11177])).
% 2.01/1.85 tff(11180,plain,
% 2.01/1.85 (xuntil2p24(s27) | (~until2p23(s27))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11179, 10446, 8836])).
% 2.01/1.85 tff(11181,plain,
% 2.01/1.85 (~until2p23(s27)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11180, 11176])).
% 2.01/1.85 tff(11182,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11183,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s26, s27)) | until2p23(s27) | (~xuntil2p24(s26)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11184,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s26, s27)) | until2p23(s27) | (~xuntil2p24(s26))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 2.01/1.85 tff(11185,plain,
% 2.01/1.85 (until2p23(s27) | (~xuntil2p24(s26))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11184, 2538, 10461])).
% 2.01/1.85 tff(11186,plain,
% 2.01/1.85 (~xuntil2p24(s26)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11185, 11181])).
% 2.01/1.85 tff(11187,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11188,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s26) | xuntil2p24(s26) | (~until2p23(s26)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11189,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s26) | xuntil2p24(s26) | (~until2p23(s26))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11188, 11187])).
% 2.01/1.85 tff(11190,plain,
% 2.01/1.85 (xuntil2p24(s26) | (~until2p23(s26))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11189, 10446, 9430])).
% 2.01/1.85 tff(11191,plain,
% 2.01/1.85 (~until2p23(s26)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11190, 11186])).
% 2.01/1.85 tff(11192,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11193,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s25, s26)) | until2p23(s26) | (~xuntil2p24(s25)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11194,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s25, s26)) | until2p23(s26) | (~xuntil2p24(s25))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11193, 11192])).
% 2.01/1.85 tff(11195,plain,
% 2.01/1.85 (until2p23(s26) | (~xuntil2p24(s25))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11194, 2474, 10461])).
% 2.01/1.85 tff(11196,plain,
% 2.01/1.85 (~xuntil2p24(s25)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11195, 11191])).
% 2.01/1.85 tff(11197,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11198,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s25) | xuntil2p24(s25) | (~until2p23(s25)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11199,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s25) | xuntil2p24(s25) | (~until2p23(s25))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 2.01/1.85 tff(11200,plain,
% 2.01/1.85 (xuntil2p24(s25) | (~until2p23(s25))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11199, 10446, 8852])).
% 2.01/1.85 tff(11201,plain,
% 2.01/1.85 (~until2p23(s25)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11200, 11196])).
% 2.01/1.85 tff(11202,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11203,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s24, s25)) | until2p23(s25) | (~xuntil2p24(s24)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11204,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s24, s25)) | until2p23(s25) | (~xuntil2p24(s24))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11203, 11202])).
% 2.01/1.85 tff(11205,plain,
% 2.01/1.85 (until2p23(s25) | (~xuntil2p24(s24))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11204, 2379, 10461])).
% 2.01/1.85 tff(11206,plain,
% 2.01/1.85 (~xuntil2p24(s24)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11205, 11201])).
% 2.01/1.85 tff(11207,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11208,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s24) | xuntil2p24(s24) | (~until2p23(s24)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11209,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s24) | xuntil2p24(s24) | (~until2p23(s24))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11208, 11207])).
% 2.01/1.85 tff(11210,plain,
% 2.01/1.85 (xuntil2p24(s24) | (~until2p23(s24))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11209, 10446, 8861])).
% 2.01/1.85 tff(11211,plain,
% 2.01/1.85 (~until2p23(s24)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11210, 11206])).
% 2.01/1.85 tff(11212,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11213,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s23, s24)) | until2p23(s24) | (~xuntil2p24(s23)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11214,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s23, s24)) | until2p23(s24) | (~xuntil2p24(s23))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11213, 11212])).
% 2.01/1.85 tff(11215,plain,
% 2.01/1.85 (until2p23(s24) | (~xuntil2p24(s23))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11214, 2318, 10461])).
% 2.01/1.85 tff(11216,plain,
% 2.01/1.85 (~xuntil2p24(s23)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11215, 11211])).
% 2.01/1.85 tff(11217,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11218,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s23) | xuntil2p24(s23) | (~until2p23(s23)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11219,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s23) | xuntil2p24(s23) | (~until2p23(s23))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11218, 11217])).
% 2.01/1.85 tff(11220,plain,
% 2.01/1.85 (xuntil2p24(s23) | (~until2p23(s23))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11219, 10446, 8869])).
% 2.01/1.85 tff(11221,plain,
% 2.01/1.85 (~until2p23(s23)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11220, 11216])).
% 2.01/1.85 tff(11222,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11223,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s22, s23)) | until2p23(s23) | (~xuntil2p24(s22)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11224,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s22, s23)) | until2p23(s23) | (~xuntil2p24(s22))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11223, 11222])).
% 2.01/1.85 tff(11225,plain,
% 2.01/1.85 (until2p23(s23) | (~xuntil2p24(s22))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11224, 2240, 10461])).
% 2.01/1.85 tff(11226,plain,
% 2.01/1.85 (~xuntil2p24(s22)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11225, 11221])).
% 2.01/1.85 tff(11227,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11228,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s22) | xuntil2p24(s22) | (~until2p23(s22)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11229,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s22) | xuntil2p24(s22) | (~until2p23(s22))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 2.01/1.85 tff(11230,plain,
% 2.01/1.85 (xuntil2p24(s22) | (~until2p23(s22))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11229, 10446, 9376])).
% 2.01/1.85 tff(11231,plain,
% 2.01/1.85 (~until2p23(s22)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11230, 11226])).
% 2.01/1.85 tff(11232,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11233,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s21, s22)) | until2p23(s22) | (~xuntil2p24(s21)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11234,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s21, s22)) | until2p23(s22) | (~xuntil2p24(s21))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 2.01/1.85 tff(11235,plain,
% 2.01/1.85 (until2p23(s22) | (~xuntil2p24(s21))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11234, 2141, 10461])).
% 2.01/1.85 tff(11236,plain,
% 2.01/1.85 (~xuntil2p24(s21)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11235, 11231])).
% 2.01/1.85 tff(11237,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11238,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s21) | xuntil2p24(s21) | (~until2p23(s21)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11239,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s21) | xuntil2p24(s21) | (~until2p23(s21))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11238, 11237])).
% 2.01/1.85 tff(11240,plain,
% 2.01/1.85 (xuntil2p24(s21) | (~until2p23(s21))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11239, 10446, 8885])).
% 2.01/1.85 tff(11241,plain,
% 2.01/1.85 (~until2p23(s21)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11240, 11236])).
% 2.01/1.85 tff(11242,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11243,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s20, s21)) | until2p23(s21) | (~xuntil2p24(s20)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11244,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s20, s21)) | until2p23(s21) | (~xuntil2p24(s20))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11243, 11242])).
% 2.01/1.85 tff(11245,plain,
% 2.01/1.85 (until2p23(s21) | (~xuntil2p24(s20))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11244, 2074, 10461])).
% 2.01/1.85 tff(11246,plain,
% 2.01/1.85 (~xuntil2p24(s20)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11245, 11241])).
% 2.01/1.85 tff(11247,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11248,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s20) | xuntil2p24(s20) | (~until2p23(s20)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11249,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s20) | xuntil2p24(s20) | (~until2p23(s20))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 2.01/1.85 tff(11250,plain,
% 2.01/1.85 (xuntil2p24(s20) | (~until2p23(s20))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11249, 10446, 8894])).
% 2.01/1.85 tff(11251,plain,
% 2.01/1.85 (~until2p23(s20)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11250, 11246])).
% 2.01/1.85 tff(11252,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11253,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s19, s20)) | until2p23(s20) | (~xuntil2p24(s19)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11254,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s19, s20)) | until2p23(s20) | (~xuntil2p24(s19))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 2.01/1.85 tff(11255,plain,
% 2.01/1.85 (until2p23(s20) | (~xuntil2p24(s19))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11254, 1985, 10461])).
% 2.01/1.85 tff(11256,plain,
% 2.01/1.85 (~xuntil2p24(s19)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11255, 11251])).
% 2.01/1.85 tff(11257,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11258,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s19) | xuntil2p24(s19) | (~until2p23(s19)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11259,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s19) | xuntil2p24(s19) | (~until2p23(s19))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11258, 11257])).
% 2.01/1.85 tff(11260,plain,
% 2.01/1.85 (xuntil2p24(s19) | (~until2p23(s19))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11259, 10446, 8902])).
% 2.01/1.85 tff(11261,plain,
% 2.01/1.85 (~until2p23(s19)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11260, 11256])).
% 2.01/1.85 tff(11262,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11263,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s18, s19)) | until2p23(s19) | (~xuntil2p24(s18)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11264,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s18, s19)) | until2p23(s19) | (~xuntil2p24(s18))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11263, 11262])).
% 2.01/1.85 tff(11265,plain,
% 2.01/1.85 (until2p23(s19) | (~xuntil2p24(s18))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11264, 1910, 10461])).
% 2.01/1.85 tff(11266,plain,
% 2.01/1.85 (~xuntil2p24(s18)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11265, 11261])).
% 2.01/1.85 tff(11267,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11268,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s18) | xuntil2p24(s18) | (~until2p23(s18)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11269,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s18) | xuntil2p24(s18) | (~until2p23(s18))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11268, 11267])).
% 2.01/1.85 tff(11270,plain,
% 2.01/1.85 (xuntil2p24(s18) | (~until2p23(s18))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11269, 10446, 9322])).
% 2.01/1.85 tff(11271,plain,
% 2.01/1.85 (~until2p23(s18)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11270, 11266])).
% 2.01/1.85 tff(11272,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11273,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s17, s18)) | until2p23(s18) | (~xuntil2p24(s17)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11274,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s17, s18)) | until2p23(s18) | (~xuntil2p24(s17))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11273, 11272])).
% 2.01/1.85 tff(11275,plain,
% 2.01/1.85 (until2p23(s18) | (~xuntil2p24(s17))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11274, 1846, 10461])).
% 2.01/1.85 tff(11276,plain,
% 2.01/1.85 (~xuntil2p24(s17)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11275, 11271])).
% 2.01/1.85 tff(11277,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11278,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s17) | xuntil2p24(s17) | (~until2p23(s17)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11279,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s17) | xuntil2p24(s17) | (~until2p23(s17))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 2.01/1.85 tff(11280,plain,
% 2.01/1.85 (xuntil2p24(s17) | (~until2p23(s17))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11279, 10446, 8918])).
% 2.01/1.85 tff(11281,plain,
% 2.01/1.85 (~until2p23(s17)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11280, 11276])).
% 2.01/1.85 tff(11282,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11283,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s16, s17)) | until2p23(s17) | (~xuntil2p24(s16)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11284,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s16, s17)) | until2p23(s17) | (~xuntil2p24(s16))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 2.01/1.85 tff(11285,plain,
% 2.01/1.85 (until2p23(s17) | (~xuntil2p24(s16))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11284, 1751, 10461])).
% 2.01/1.85 tff(11286,plain,
% 2.01/1.85 (~xuntil2p24(s16)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11285, 11281])).
% 2.01/1.85 tff(11287,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11288,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s16) | xuntil2p24(s16) | (~until2p23(s16)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11289,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s16) | xuntil2p24(s16) | (~until2p23(s16))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11288, 11287])).
% 2.01/1.85 tff(11290,plain,
% 2.01/1.85 (xuntil2p24(s16) | (~until2p23(s16))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11289, 10446, 8927])).
% 2.01/1.85 tff(11291,plain,
% 2.01/1.85 (~until2p23(s16)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11290, 11286])).
% 2.01/1.85 tff(11292,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11293,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s15, s16)) | until2p23(s16) | (~xuntil2p24(s15)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11294,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s15, s16)) | until2p23(s16) | (~xuntil2p24(s15))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11293, 11292])).
% 2.01/1.85 tff(11295,plain,
% 2.01/1.85 (until2p23(s16) | (~xuntil2p24(s15))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11294, 1690, 10461])).
% 2.01/1.85 tff(11296,plain,
% 2.01/1.85 (~xuntil2p24(s15)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11295, 11291])).
% 2.01/1.85 tff(11297,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11298,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s15) | xuntil2p24(s15) | (~until2p23(s15)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11299,plain,
% 2.01/1.85 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s15) | xuntil2p24(s15) | (~until2p23(s15))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 2.01/1.85 tff(11300,plain,
% 2.01/1.85 (xuntil2p24(s15) | (~until2p23(s15))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11299, 10446, 8935])).
% 2.01/1.85 tff(11301,plain,
% 2.01/1.85 (~until2p23(s15)),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11300, 11296])).
% 2.01/1.85 tff(11302,plain,
% 2.01/1.85 (((~![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)))),
% 2.01/1.85 inference(rewrite,[status(thm)],[])).
% 2.01/1.85 tff(11303,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s14, s15)) | until2p23(s15) | (~xuntil2p24(s14)))),
% 2.01/1.85 inference(quant_inst,[status(thm)],[])).
% 2.01/1.85 tff(11304,plain,
% 2.01/1.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s14, s15)) | until2p23(s15) | (~xuntil2p24(s14))),
% 2.01/1.85 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 2.01/1.85 tff(11305,plain,
% 2.01/1.85 (until2p23(s15) | (~xuntil2p24(s14))),
% 2.01/1.85 inference(unit_resolution,[status(thm)],[11304, 1612, 10461])).
% 2.01/1.86 tff(11306,plain,
% 2.01/1.86 (~xuntil2p24(s14)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11305, 11301])).
% 2.01/1.86 tff(11307,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11308,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s14) | xuntil2p24(s14) | (~until2p23(s14)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11309,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s14) | xuntil2p24(s14) | (~until2p23(s14))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 2.01/1.86 tff(11310,plain,
% 2.01/1.86 (xuntil2p24(s14) | (~until2p23(s14))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11309, 10446, 9268])).
% 2.01/1.86 tff(11311,plain,
% 2.01/1.86 (~until2p23(s14)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11310, 11306])).
% 2.01/1.86 tff(11312,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11313,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s13, s14)) | until2p23(s14) | (~xuntil2p24(s13)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11314,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s13, s14)) | until2p23(s14) | (~xuntil2p24(s13))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 2.01/1.86 tff(11315,plain,
% 2.01/1.86 (until2p23(s14) | (~xuntil2p24(s13))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11314, 1513, 10461])).
% 2.01/1.86 tff(11316,plain,
% 2.01/1.86 (~xuntil2p24(s13)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11315, 11311])).
% 2.01/1.86 tff(11317,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11318,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s13) | xuntil2p24(s13) | (~until2p23(s13)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11319,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s13) | xuntil2p24(s13) | (~until2p23(s13))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11318, 11317])).
% 2.01/1.86 tff(11320,plain,
% 2.01/1.86 (xuntil2p24(s13) | (~until2p23(s13))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11319, 10446, 8951])).
% 2.01/1.86 tff(11321,plain,
% 2.01/1.86 (~until2p23(s13)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11320, 11316])).
% 2.01/1.86 tff(11322,plain,
% 2.01/1.86 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y)))),
% 2.01/1.86 inference(bind,[status(th)],[])).
% 2.01/1.86 tff(11323,plain,
% 2.01/1.86 (![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))),
% 2.01/1.86 inference(quant_intro,[status(thm)],[11322])).
% 2.01/1.86 tff(11324,plain,
% 2.01/1.86 (![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))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11325,plain,
% 2.01/1.86 (^[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))))),
% 2.01/1.86 inference(bind,[status(th)],[])).
% 2.01/1.86 tff(11326,plain,
% 2.01/1.86 (![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))),
% 2.01/1.86 inference(quant_intro,[status(thm)],[11325])).
% 2.01/1.86 tff(11327,axiom,(![Y: $i, X: $i] : (((until2p23(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil22(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty9')).
% 2.01/1.86 tff(11328,plain,
% 2.01/1.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11327, 11326])).
% 2.01/1.86 tff(11329,plain,
% 2.01/1.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11328, 11324])).
% 2.01/1.86 tff(11330,plain,(
% 2.01/1.86 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 2.01/1.86 inference(skolemize,[status(sab)],[11329])).
% 2.01/1.86 tff(11331,plain,
% 2.01/1.86 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11330, 11323])).
% 2.01/1.86 tff(11332,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11333,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s12, s13)) | until2p23(s13) | (~xuntil2p24(s12)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11334,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s12, s13)) | until2p23(s13) | (~xuntil2p24(s12))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11333, 11332])).
% 2.01/1.86 tff(11335,plain,
% 2.01/1.86 (until2p23(s13) | (~xuntil2p24(s12))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11334, 1446, 10461])).
% 2.01/1.86 tff(11336,plain,
% 2.01/1.86 (~xuntil2p24(s12)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11335, 11321])).
% 2.01/1.86 tff(11337,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11338,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s12) | xuntil2p24(s12) | (~until2p23(s12)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11339,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s12) | xuntil2p24(s12) | (~until2p23(s12))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11338, 11337])).
% 2.01/1.86 tff(11340,plain,
% 2.01/1.86 (xuntil2p24(s12) | (~until2p23(s12))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11339, 10446, 8960])).
% 2.01/1.86 tff(11341,plain,
% 2.01/1.86 (~until2p23(s12)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11340, 11336])).
% 2.01/1.86 tff(11342,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11343,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s11, s12)) | until2p23(s12) | (~xuntil2p24(s11)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11344,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s11, s12)) | until2p23(s12) | (~xuntil2p24(s11))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11343, 11342])).
% 2.01/1.86 tff(11345,plain,
% 2.01/1.86 (until2p23(s12) | (~xuntil2p24(s11))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11344, 1357, 10461])).
% 2.01/1.86 tff(11346,plain,
% 2.01/1.86 (~xuntil2p24(s11)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11345, 11341])).
% 2.01/1.86 tff(11347,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11348,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s11) | xuntil2p24(s11) | (~until2p23(s11)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11349,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s11) | xuntil2p24(s11) | (~until2p23(s11))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 2.01/1.86 tff(11350,plain,
% 2.01/1.86 (xuntil2p24(s11) | (~until2p23(s11))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11349, 10446, 8968])).
% 2.01/1.86 tff(11351,plain,
% 2.01/1.86 (~until2p23(s11)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11350, 11346])).
% 2.01/1.86 tff(11352,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11353,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s10, s11)) | until2p23(s11) | (~xuntil2p24(s10)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11354,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s10, s11)) | until2p23(s11) | (~xuntil2p24(s10))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11353, 11352])).
% 2.01/1.86 tff(11355,plain,
% 2.01/1.86 (until2p23(s11) | (~xuntil2p24(s10))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11354, 1282, 10461])).
% 2.01/1.86 tff(11356,plain,
% 2.01/1.86 (~xuntil2p24(s10)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11355, 11351])).
% 2.01/1.86 tff(11357,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11358,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s10) | xuntil2p24(s10) | (~until2p23(s10)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11359,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s10) | xuntil2p24(s10) | (~until2p23(s10))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11358, 11357])).
% 2.01/1.86 tff(11360,plain,
% 2.01/1.86 (xuntil2p24(s10) | (~until2p23(s10))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11359, 10446, 9214])).
% 2.01/1.86 tff(11361,plain,
% 2.01/1.86 (~until2p23(s10)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11360, 11356])).
% 2.01/1.86 tff(11362,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11363,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s9, s10)) | until2p23(s10) | (~xuntil2p24(s9)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11364,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s9, s10)) | until2p23(s10) | (~xuntil2p24(s9))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11363, 11362])).
% 2.01/1.86 tff(11365,plain,
% 2.01/1.86 (until2p23(s10) | (~xuntil2p24(s9))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11364, 1218, 10461])).
% 2.01/1.86 tff(11366,plain,
% 2.01/1.86 (~xuntil2p24(s9)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11365, 11361])).
% 2.01/1.86 tff(11367,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11368,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s9) | xuntil2p24(s9) | (~until2p23(s9)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11369,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s9) | xuntil2p24(s9) | (~until2p23(s9))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 2.01/1.86 tff(11370,plain,
% 2.01/1.86 (xuntil2p24(s9) | (~until2p23(s9))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11369, 10446, 8984])).
% 2.01/1.86 tff(11371,plain,
% 2.01/1.86 (~until2p23(s9)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11370, 11366])).
% 2.01/1.86 tff(11372,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11373,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s8, s9)) | until2p23(s9) | (~xuntil2p24(s8)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11374,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s8, s9)) | until2p23(s9) | (~xuntil2p24(s8))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 2.01/1.86 tff(11375,plain,
% 2.01/1.86 (until2p23(s9) | (~xuntil2p24(s8))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11374, 1123, 10461])).
% 2.01/1.86 tff(11376,plain,
% 2.01/1.86 (~xuntil2p24(s8)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11375, 11371])).
% 2.01/1.86 tff(11377,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11378,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s8) | xuntil2p24(s8) | (~until2p23(s8)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11379,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s8) | xuntil2p24(s8) | (~until2p23(s8))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11378, 11377])).
% 2.01/1.86 tff(11380,plain,
% 2.01/1.86 (xuntil2p24(s8) | (~until2p23(s8))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11379, 10446, 8993])).
% 2.01/1.86 tff(11381,plain,
% 2.01/1.86 (~until2p23(s8)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11380, 11376])).
% 2.01/1.86 tff(11382,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11383,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s7, s8)) | until2p23(s8) | (~xuntil2p24(s7)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11384,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s7, s8)) | until2p23(s8) | (~xuntil2p24(s7))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 2.01/1.86 tff(11385,plain,
% 2.01/1.86 (until2p23(s8) | (~xuntil2p24(s7))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11384, 1062, 10461])).
% 2.01/1.86 tff(11386,plain,
% 2.01/1.86 (~xuntil2p24(s7)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11385, 11381])).
% 2.01/1.86 tff(11387,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11388,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s7) | xuntil2p24(s7) | (~until2p23(s7)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11389,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s7) | xuntil2p24(s7) | (~until2p23(s7))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11388, 11387])).
% 2.01/1.86 tff(11390,plain,
% 2.01/1.86 (xuntil2p24(s7) | (~until2p23(s7))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11389, 10446, 9001])).
% 2.01/1.86 tff(11391,plain,
% 2.01/1.86 (~until2p23(s7)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11390, 11386])).
% 2.01/1.86 tff(11392,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11393,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s6, s7)) | until2p23(s7) | (~xuntil2p24(s6)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11394,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s6, s7)) | until2p23(s7) | (~xuntil2p24(s6))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11393, 11392])).
% 2.01/1.86 tff(11395,plain,
% 2.01/1.86 (until2p23(s7) | (~xuntil2p24(s6))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11394, 984, 10461])).
% 2.01/1.86 tff(11396,plain,
% 2.01/1.86 (~xuntil2p24(s6)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11395, 11391])).
% 2.01/1.86 tff(11397,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11398,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s6) | xuntil2p24(s6) | (~until2p23(s6)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11399,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s6) | xuntil2p24(s6) | (~until2p23(s6))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11398, 11397])).
% 2.01/1.86 tff(11400,plain,
% 2.01/1.86 (xuntil2p24(s6) | (~until2p23(s6))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11399, 10446, 9160])).
% 2.01/1.86 tff(11401,plain,
% 2.01/1.86 (~until2p23(s6)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11400, 11396])).
% 2.01/1.86 tff(11402,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11403,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s5, s6)) | until2p23(s6) | (~xuntil2p24(s5)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11404,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s5, s6)) | until2p23(s6) | (~xuntil2p24(s5))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11403, 11402])).
% 2.01/1.86 tff(11405,plain,
% 2.01/1.86 (until2p23(s6) | (~xuntil2p24(s5))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11404, 845, 10461])).
% 2.01/1.86 tff(11406,plain,
% 2.01/1.86 (~xuntil2p24(s5)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11405, 11401])).
% 2.01/1.86 tff(11407,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11408,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s5) | xuntil2p24(s5) | (~until2p23(s5)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11409,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s5) | xuntil2p24(s5) | (~until2p23(s5))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11408, 11407])).
% 2.01/1.86 tff(11410,plain,
% 2.01/1.86 (xuntil2p24(s5) | (~until2p23(s5))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11409, 10446, 9017])).
% 2.01/1.86 tff(11411,plain,
% 2.01/1.86 (~until2p23(s5)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11410, 11406])).
% 2.01/1.86 tff(11412,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11413,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s4, s5)) | until2p23(s5) | (~xuntil2p24(s4)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11414,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s4, s5)) | until2p23(s5) | (~xuntil2p24(s4))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 2.01/1.86 tff(11415,plain,
% 2.01/1.86 (until2p23(s5) | (~xuntil2p24(s4))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11414, 727, 10461])).
% 2.01/1.86 tff(11416,plain,
% 2.01/1.86 (~xuntil2p24(s4)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11415, 11411])).
% 2.01/1.86 tff(11417,plain,
% 2.01/1.86 (((~![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)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11418,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s4) | xuntil2p24(s4) | (~until2p23(s4)))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11419,plain,
% 2.01/1.86 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s4) | xuntil2p24(s4) | (~until2p23(s4))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11418, 11417])).
% 2.01/1.86 tff(11420,plain,
% 2.01/1.86 (xuntil2p24(s4) | (~until2p23(s4))),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11419, 10446, 9026])).
% 2.01/1.86 tff(11421,plain,
% 2.01/1.86 (~until2p23(s4)),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11420, 11416])).
% 2.01/1.86 tff(11422,assumption,(trans(s99, s4)), introduced(assumption)).
% 2.01/1.86 tff(11423,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s4) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s4) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s4)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11424,plain,
% 2.01/1.86 (((~trans(s99, s4)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s4)) <=> (until2p23(s4) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s4)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11425,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s4)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s4) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s4))))),
% 2.01/1.86 inference(monotonicity,[status(thm)],[11424])).
% 2.01/1.86 tff(11426,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s4)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s4) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s4)))),
% 2.01/1.86 inference(transitivity,[status(thm)],[11425, 11423])).
% 2.01/1.86 tff(11427,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s4)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s4))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11428,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s4) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s4))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11427, 11426])).
% 2.01/1.86 tff(11429,plain,
% 2.01/1.86 ($false),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11428, 10432, 11422, 11331, 11421, 10422])).
% 2.01/1.86 tff(11430,plain,(~trans(s99, s4)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.86 tff(11431,assumption,(trans(s99, s94)), introduced(assumption)).
% 2.01/1.86 tff(11432,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s94) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s94) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s94)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11433,plain,
% 2.01/1.86 (((~trans(s99, s94)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s94)) <=> (until2p23(s94) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s94)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11434,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s94)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s94) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s94))))),
% 2.01/1.86 inference(monotonicity,[status(thm)],[11433])).
% 2.01/1.86 tff(11435,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s94)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s94) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s94)))),
% 2.01/1.86 inference(transitivity,[status(thm)],[11434, 11432])).
% 2.01/1.86 tff(11436,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s94)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s94))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11437,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s94) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s94))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 2.01/1.86 tff(11438,plain,
% 2.01/1.86 ($false),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11437, 10432, 11431, 11331, 10511, 10422])).
% 2.01/1.86 tff(11439,plain,(~trans(s99, s94)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.86 tff(11440,assumption,(trans(s99, s89)), introduced(assumption)).
% 2.01/1.86 tff(11441,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s89) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s89) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s89)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11442,plain,
% 2.01/1.86 (((~trans(s99, s89)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s89)) <=> (until2p23(s89) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s89)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11443,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s89)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s89) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s89))))),
% 2.01/1.86 inference(monotonicity,[status(thm)],[11442])).
% 2.01/1.86 tff(11444,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s89)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s89) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s89)))),
% 2.01/1.86 inference(transitivity,[status(thm)],[11443, 11441])).
% 2.01/1.86 tff(11445,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s89)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s89))),
% 2.01/1.86 inference(quant_inst,[status(thm)],[])).
% 2.01/1.86 tff(11446,plain,
% 2.01/1.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s89) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s89))),
% 2.01/1.86 inference(modus_ponens,[status(thm)],[11445, 11444])).
% 2.01/1.86 tff(11447,plain,
% 2.01/1.86 ($false),
% 2.01/1.86 inference(unit_resolution,[status(thm)],[11446, 10432, 11440, 11331, 10561, 10422])).
% 2.01/1.86 tff(11448,plain,(~trans(s99, s89)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.86 tff(11449,assumption,(trans(s99, s43)), introduced(assumption)).
% 2.01/1.86 tff(11450,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s43) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s43) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s43)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11451,plain,
% 2.01/1.86 (((~trans(s99, s43)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s43)) <=> (until2p23(s43) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s43)))),
% 2.01/1.86 inference(rewrite,[status(thm)],[])).
% 2.01/1.86 tff(11452,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s43)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s43) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s43))))),
% 2.01/1.86 inference(monotonicity,[status(thm)],[11451])).
% 2.01/1.86 tff(11453,plain,
% 2.01/1.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s43)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s43) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s43)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11452, 11450])).
% 2.01/1.87 tff(11454,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s43)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s43))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11455,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s43) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s43))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 2.01/1.87 tff(11456,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11455, 10432, 11449, 11331, 11021, 10422])).
% 2.01/1.87 tff(11457,plain,(~trans(s99, s43)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11458,assumption,(trans(s99, s69)), introduced(assumption)).
% 2.01/1.87 tff(11459,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s69) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s69) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s69)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11460,plain,
% 2.01/1.87 (((~trans(s99, s69)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s69)) <=> (until2p23(s69) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s69)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11461,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s69)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s69) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s69))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11460])).
% 2.01/1.87 tff(11462,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s69)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s69) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s69)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11461, 11459])).
% 2.01/1.87 tff(11463,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s69)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s69))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11464,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s69) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s69))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11463, 11462])).
% 2.01/1.87 tff(11465,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11464, 10432, 11458, 11331, 10761, 10422])).
% 2.01/1.87 tff(11466,plain,(~trans(s99, s69)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11467,assumption,(trans(s99, s14)), introduced(assumption)).
% 2.01/1.87 tff(11468,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s14) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s14) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s14)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11469,plain,
% 2.01/1.87 (((~trans(s99, s14)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s14)) <=> (until2p23(s14) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s14)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11470,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s14)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s14) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s14))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11469])).
% 2.01/1.87 tff(11471,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s14)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s14) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s14)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11470, 11468])).
% 2.01/1.87 tff(11472,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s14)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s14))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11473,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s14) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s14))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 2.01/1.87 tff(11474,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11473, 10432, 11467, 11331, 11311, 10422])).
% 2.01/1.87 tff(11475,plain,(~trans(s99, s14)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11476,assumption,(trans(s99, s97)), introduced(assumption)).
% 2.01/1.87 tff(11477,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s97) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s97) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s97)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11478,plain,
% 2.01/1.87 (((~trans(s99, s97)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s97)) <=> (until2p23(s97) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s97)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11479,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s97)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s97) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s97))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11478])).
% 2.01/1.87 tff(11480,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s97)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s97) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s97)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11479, 11477])).
% 2.01/1.87 tff(11481,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s97)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s97))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11482,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s97) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s97))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 2.01/1.87 tff(11483,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11482, 10432, 11476, 11331, 10481, 10422])).
% 2.01/1.87 tff(11484,plain,(~trans(s99, s97)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11485,assumption,(trans(s99, s22)), introduced(assumption)).
% 2.01/1.87 tff(11486,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s22) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s22) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s22)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11487,plain,
% 2.01/1.87 (((~trans(s99, s22)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s22)) <=> (until2p23(s22) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s22)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11488,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s22)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s22) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s22))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11487])).
% 2.01/1.87 tff(11489,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s22)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s22) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s22)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11488, 11486])).
% 2.01/1.87 tff(11490,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s22)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s22))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11491,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s22) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s22))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11490, 11489])).
% 2.01/1.87 tff(11492,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11491, 10432, 11485, 11331, 11231, 10422])).
% 2.01/1.87 tff(11493,plain,(~trans(s99, s22)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11494,assumption,(trans(s99, s58)), introduced(assumption)).
% 2.01/1.87 tff(11495,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s58) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s58) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s58)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11496,plain,
% 2.01/1.87 (((~trans(s99, s58)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s58)) <=> (until2p23(s58) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s58)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11497,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s58)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s58) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s58))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11496])).
% 2.01/1.87 tff(11498,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s58)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s58) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s58)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11497, 11495])).
% 2.01/1.87 tff(11499,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s58)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s58))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11500,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s58) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s58))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 2.01/1.87 tff(11501,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11500, 10432, 11494, 11331, 10871, 10422])).
% 2.01/1.87 tff(11502,plain,(~trans(s99, s58)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11503,assumption,(trans(s99, s76)), introduced(assumption)).
% 2.01/1.87 tff(11504,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s76) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s76) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s76)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11505,plain,
% 2.01/1.87 (((~trans(s99, s76)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s76)) <=> (until2p23(s76) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s76)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11506,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s76)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s76) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s76))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11505])).
% 2.01/1.87 tff(11507,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s76)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s76) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s76)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11506, 11504])).
% 2.01/1.87 tff(11508,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s76)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s76))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11509,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s76) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s76))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11508, 11507])).
% 2.01/1.87 tff(11510,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11509, 10432, 11503, 11331, 10691, 10422])).
% 2.01/1.87 tff(11511,plain,(~trans(s99, s76)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11512,assumption,(trans(s99, s38)), introduced(assumption)).
% 2.01/1.87 tff(11513,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s38) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s38) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s38)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11514,plain,
% 2.01/1.87 (((~trans(s99, s38)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s38)) <=> (until2p23(s38) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s38)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11515,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s38)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s38) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s38))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11514])).
% 2.01/1.87 tff(11516,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s38)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s38) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s38)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11515, 11513])).
% 2.01/1.87 tff(11517,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s38)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s38))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11518,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s38) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s38))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11517, 11516])).
% 2.01/1.87 tff(11519,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11518, 10432, 11512, 11331, 11071, 10422])).
% 2.01/1.87 tff(11520,plain,(~trans(s99, s38)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11521,assumption,(trans(s99, s8)), introduced(assumption)).
% 2.01/1.87 tff(11522,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s8) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s8) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s8)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11523,plain,
% 2.01/1.87 (((~trans(s99, s8)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s8)) <=> (until2p23(s8) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s8)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11524,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s8)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s8) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s8))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11523])).
% 2.01/1.87 tff(11525,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s8)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s8) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s8)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11524, 11522])).
% 2.01/1.87 tff(11526,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s8)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s8))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11527,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s8) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s8))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 2.01/1.87 tff(11528,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11527, 10432, 11521, 11331, 11381, 10422])).
% 2.01/1.87 tff(11529,plain,(~trans(s99, s8)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11530,assumption,(trans(s99, s50)), introduced(assumption)).
% 2.01/1.87 tff(11531,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s50) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s50) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s50)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11532,plain,
% 2.01/1.87 (((~trans(s99, s50)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s50)) <=> (until2p23(s50) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s50)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11533,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s50)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s50) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s50))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11532])).
% 2.01/1.87 tff(11534,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s50)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s50) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s50)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11533, 11531])).
% 2.01/1.87 tff(11535,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s50)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s50))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11536,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s50) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s50))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11535, 11534])).
% 2.01/1.87 tff(11537,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11536, 10432, 11530, 11331, 10951, 10422])).
% 2.01/1.87 tff(11538,plain,(~trans(s99, s50)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11539,assumption,(trans(s99, s54)), introduced(assumption)).
% 2.01/1.87 tff(11540,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s54) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s54) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s54)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11541,plain,
% 2.01/1.87 (((~trans(s99, s54)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s54)) <=> (until2p23(s54) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s54)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11542,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s54)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s54) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s54))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11541])).
% 2.01/1.87 tff(11543,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s54)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s54) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s54)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11542, 11540])).
% 2.01/1.87 tff(11544,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s54)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s54))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11545,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s54) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s54))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 2.01/1.87 tff(11546,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11545, 10432, 11539, 11331, 10911, 10422])).
% 2.01/1.87 tff(11547,plain,(~trans(s99, s54)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11548,assumption,(trans(s99, s36)), introduced(assumption)).
% 2.01/1.87 tff(11549,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s36) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s36) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s36)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11550,plain,
% 2.01/1.87 (((~trans(s99, s36)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s36)) <=> (until2p23(s36) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s36)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11551,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s36)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s36) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s36))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11550])).
% 2.01/1.87 tff(11552,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s36)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s36) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s36)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11551, 11549])).
% 2.01/1.87 tff(11553,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s36)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s36))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11554,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s36) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s36))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11553, 11552])).
% 2.01/1.87 tff(11555,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11554, 10432, 11548, 11331, 11091, 10422])).
% 2.01/1.87 tff(11556,plain,(~trans(s99, s36)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11557,assumption,(trans(s99, s46)), introduced(assumption)).
% 2.01/1.87 tff(11558,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s46) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s46) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s46)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11559,plain,
% 2.01/1.87 (((~trans(s99, s46)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s46)) <=> (until2p23(s46) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s46)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11560,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s46)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s46) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s46))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11559])).
% 2.01/1.87 tff(11561,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s46)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s46) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s46)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11560, 11558])).
% 2.01/1.87 tff(11562,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s46)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s46))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11563,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s46) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s46))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11562, 11561])).
% 2.01/1.87 tff(11564,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11563, 10432, 11557, 11331, 10991, 10422])).
% 2.01/1.87 tff(11565,plain,(~trans(s99, s46)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11566,assumption,(trans(s99, s48)), introduced(assumption)).
% 2.01/1.87 tff(11567,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s48) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s48) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s48)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11568,plain,
% 2.01/1.87 (((~trans(s99, s48)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s48)) <=> (until2p23(s48) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s48)))),
% 2.01/1.87 inference(rewrite,[status(thm)],[])).
% 2.01/1.87 tff(11569,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s48)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s48) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s48))))),
% 2.01/1.87 inference(monotonicity,[status(thm)],[11568])).
% 2.01/1.87 tff(11570,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s48)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s48) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s48)))),
% 2.01/1.87 inference(transitivity,[status(thm)],[11569, 11567])).
% 2.01/1.87 tff(11571,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s48)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s48))),
% 2.01/1.87 inference(quant_inst,[status(thm)],[])).
% 2.01/1.87 tff(11572,plain,
% 2.01/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s48) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s48))),
% 2.01/1.87 inference(modus_ponens,[status(thm)],[11571, 11570])).
% 2.01/1.87 tff(11573,plain,
% 2.01/1.87 ($false),
% 2.01/1.87 inference(unit_resolution,[status(thm)],[11572, 10432, 11566, 11331, 10971, 10422])).
% 2.01/1.87 tff(11574,plain,(~trans(s99, s48)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.87 tff(11575,assumption,(trans(s99, s33)), introduced(assumption)).
% 2.01/1.87 tff(11576,plain,
% 2.01/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s33) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s33) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s33)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11577,plain,
% 2.01/1.88 (((~trans(s99, s33)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s33)) <=> (until2p23(s33) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s33)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11578,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s33)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s33) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s33))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11577])).
% 2.01/1.88 tff(11579,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s33)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s33) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s33)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11578, 11576])).
% 2.01/1.88 tff(11580,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s33)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s33))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11581,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s33) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s33))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 2.01/1.88 tff(11582,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11581, 10432, 11575, 11331, 11121, 10422])).
% 2.01/1.88 tff(11583,plain,(~trans(s99, s33)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11584,assumption,(trans(s99, s34)), introduced(assumption)).
% 2.01/1.88 tff(11585,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s34) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s34) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s34)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11586,plain,
% 2.01/1.88 (((~trans(s99, s34)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s34)) <=> (until2p23(s34) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s34)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11587,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s34)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s34) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s34))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11586])).
% 2.01/1.88 tff(11588,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s34)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s34) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s34)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11587, 11585])).
% 2.01/1.88 tff(11589,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s34)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s34))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11590,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s34) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s34))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 2.01/1.88 tff(11591,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11590, 10432, 11584, 11331, 11111, 10422])).
% 2.01/1.88 tff(11592,plain,(~trans(s99, s34)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11593,assumption,(trans(s99, s77)), introduced(assumption)).
% 2.01/1.88 tff(11594,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s77) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s77) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s77)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11595,plain,
% 2.01/1.88 (((~trans(s99, s77)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s77)) <=> (until2p23(s77) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s77)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11596,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s77)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s77) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s77))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11595])).
% 2.01/1.88 tff(11597,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s77)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s77) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s77)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11596, 11594])).
% 2.01/1.88 tff(11598,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s77)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s77))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11599,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s77) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s77))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11598, 11597])).
% 2.01/1.88 tff(11600,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11599, 10432, 11593, 11331, 10681, 10422])).
% 2.01/1.88 tff(11601,plain,(~trans(s99, s77)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11602,assumption,(trans(s99, s75)), introduced(assumption)).
% 2.01/1.88 tff(11603,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s75) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s75) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s75)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11604,plain,
% 2.01/1.88 (((~trans(s99, s75)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s75)) <=> (until2p23(s75) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s75)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11605,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s75)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s75) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s75))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11604])).
% 2.01/1.88 tff(11606,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s75)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s75) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s75)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11605, 11603])).
% 2.01/1.88 tff(11607,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s75)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s75))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11608,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s75) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s75))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 2.01/1.88 tff(11609,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11608, 10432, 11602, 11331, 10701, 10422])).
% 2.01/1.88 tff(11610,plain,(~trans(s99, s75)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11611,assumption,(trans(s99, s88)), introduced(assumption)).
% 2.01/1.88 tff(11612,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s88) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s88) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s88)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11613,plain,
% 2.01/1.88 (((~trans(s99, s88)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s88)) <=> (until2p23(s88) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s88)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11614,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s88)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s88) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s88))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11613])).
% 2.01/1.88 tff(11615,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s88)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s88) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s88)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11614, 11612])).
% 2.01/1.88 tff(11616,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s88)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s88))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11617,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s88) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s88))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 2.01/1.88 tff(11618,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11617, 10432, 11611, 11331, 10571, 10422])).
% 2.01/1.88 tff(11619,plain,(~trans(s99, s88)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11620,assumption,(trans(s99, s91)), introduced(assumption)).
% 2.01/1.88 tff(11621,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s91) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s91) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s91)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11622,plain,
% 2.01/1.88 (((~trans(s99, s91)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s91)) <=> (until2p23(s91) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s91)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11623,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s91)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s91) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s91))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11622])).
% 2.01/1.88 tff(11624,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s91)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s91) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s91)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11623, 11621])).
% 2.01/1.88 tff(11625,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s91)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s91))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11626,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s91) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s91))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11625, 11624])).
% 2.01/1.88 tff(11627,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11626, 10432, 11620, 11331, 10541, 10422])).
% 2.01/1.88 tff(11628,plain,(~trans(s99, s91)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11629,assumption,(trans(s99, s37)), introduced(assumption)).
% 2.01/1.88 tff(11630,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s37) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s37) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s37)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11631,plain,
% 2.01/1.88 (((~trans(s99, s37)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s37)) <=> (until2p23(s37) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s37)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11632,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s37)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s37) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s37))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11631])).
% 2.01/1.88 tff(11633,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s37)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s37) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s37)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11632, 11630])).
% 2.01/1.88 tff(11634,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s37)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s37))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11635,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s37) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s37))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 2.01/1.88 tff(11636,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11635, 10432, 11629, 11331, 11081, 10422])).
% 2.01/1.88 tff(11637,plain,(~trans(s99, s37)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11638,assumption,(trans(s99, s12)), introduced(assumption)).
% 2.01/1.88 tff(11639,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s12) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s12) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s12)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11640,plain,
% 2.01/1.88 (((~trans(s99, s12)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s12)) <=> (until2p23(s12) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s12)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11641,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s12)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s12) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s12))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11640])).
% 2.01/1.88 tff(11642,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s12)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s12) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s12)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11641, 11639])).
% 2.01/1.88 tff(11643,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s12)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s12))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11644,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s12) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s12))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 2.01/1.88 tff(11645,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11644, 10432, 11638, 11331, 11341, 10422])).
% 2.01/1.88 tff(11646,plain,(~trans(s99, s12)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11647,assumption,(trans(s99, s72)), introduced(assumption)).
% 2.01/1.88 tff(11648,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s72) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s72) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s72)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11649,plain,
% 2.01/1.88 (((~trans(s99, s72)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s72)) <=> (until2p23(s72) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s72)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11650,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s72)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s72) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s72))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11649])).
% 2.01/1.88 tff(11651,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s72)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s72) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s72)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11650, 11648])).
% 2.01/1.88 tff(11652,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s72)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s72))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11653,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s72) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s72))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 2.01/1.88 tff(11654,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11653, 10432, 11647, 11331, 10731, 10422])).
% 2.01/1.88 tff(11655,plain,(~trans(s99, s72)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11656,assumption,(trans(s99, s26)), introduced(assumption)).
% 2.01/1.88 tff(11657,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s26) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s26) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s26)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11658,plain,
% 2.01/1.88 (((~trans(s99, s26)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s26)) <=> (until2p23(s26) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s26)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11659,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s26)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s26) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s26))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11658])).
% 2.01/1.88 tff(11660,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s26)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s26) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s26)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11659, 11657])).
% 2.01/1.88 tff(11661,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s26)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s26))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11662,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s26) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s26))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 2.01/1.88 tff(11663,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11662, 10432, 11656, 11331, 11191, 10422])).
% 2.01/1.88 tff(11664,plain,(~trans(s99, s26)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11665,assumption,(trans(s99, s68)), introduced(assumption)).
% 2.01/1.88 tff(11666,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s68) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s68) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s68)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11667,plain,
% 2.01/1.88 (((~trans(s99, s68)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s68)) <=> (until2p23(s68) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s68)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11668,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s68)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s68) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s68))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11667])).
% 2.01/1.88 tff(11669,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s68)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s68) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s68)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11668, 11666])).
% 2.01/1.88 tff(11670,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s68)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s68))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11671,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s68) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s68))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11670, 11669])).
% 2.01/1.88 tff(11672,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11671, 10432, 11665, 11331, 10771, 10422])).
% 2.01/1.88 tff(11673,plain,(~trans(s99, s68)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11674,assumption,(trans(s99, s64)), introduced(assumption)).
% 2.01/1.88 tff(11675,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s64) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s64) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s64)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11676,plain,
% 2.01/1.88 (((~trans(s99, s64)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s64)) <=> (until2p23(s64) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s64)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11677,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s64)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s64) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s64))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11676])).
% 2.01/1.88 tff(11678,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s64)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s64) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s64)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11677, 11675])).
% 2.01/1.88 tff(11679,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s64)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s64))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11680,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s64) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s64))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11679, 11678])).
% 2.01/1.88 tff(11681,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11680, 10432, 11674, 11331, 10811, 10422])).
% 2.01/1.88 tff(11682,plain,(~trans(s99, s64)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11683,assumption,(trans(s99, s35)), introduced(assumption)).
% 2.01/1.88 tff(11684,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s35) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s35) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s35)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11685,plain,
% 2.01/1.88 (((~trans(s99, s35)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s35)) <=> (until2p23(s35) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s35)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11686,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s35)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s35) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s35))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11685])).
% 2.01/1.88 tff(11687,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s35)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s35) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s35)))),
% 2.01/1.88 inference(transitivity,[status(thm)],[11686, 11684])).
% 2.01/1.88 tff(11688,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s35)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s35))),
% 2.01/1.88 inference(quant_inst,[status(thm)],[])).
% 2.01/1.88 tff(11689,plain,
% 2.01/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s35) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s35))),
% 2.01/1.88 inference(modus_ponens,[status(thm)],[11688, 11687])).
% 2.01/1.88 tff(11690,plain,
% 2.01/1.88 ($false),
% 2.01/1.88 inference(unit_resolution,[status(thm)],[11689, 10432, 11683, 11331, 11101, 10422])).
% 2.01/1.88 tff(11691,plain,(~trans(s99, s35)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.88 tff(11692,assumption,(trans(s99, s74)), introduced(assumption)).
% 2.01/1.88 tff(11693,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s74) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s74) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s74)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11694,plain,
% 2.01/1.88 (((~trans(s99, s74)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s74)) <=> (until2p23(s74) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s74)))),
% 2.01/1.88 inference(rewrite,[status(thm)],[])).
% 2.01/1.88 tff(11695,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s74)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s74) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s74))))),
% 2.01/1.88 inference(monotonicity,[status(thm)],[11694])).
% 2.01/1.88 tff(11696,plain,
% 2.01/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s74)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s74) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s74)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11695, 11693])).
% 2.01/1.89 tff(11697,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s74)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s74))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11698,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s74) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s74))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 2.01/1.89 tff(11699,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11698, 10432, 11692, 11331, 10711, 10422])).
% 2.01/1.89 tff(11700,plain,(~trans(s99, s74)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11701,assumption,(trans(s99, s73)), introduced(assumption)).
% 2.01/1.89 tff(11702,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s73) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s73) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s73)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11703,plain,
% 2.01/1.89 (((~trans(s99, s73)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s73)) <=> (until2p23(s73) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s73)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11704,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s73)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s73) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s73))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11703])).
% 2.01/1.89 tff(11705,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s73)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s73) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s73)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11704, 11702])).
% 2.01/1.89 tff(11706,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s73)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s73))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11707,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s73) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s73))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 2.01/1.89 tff(11708,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11707, 10432, 11701, 11331, 10721, 10422])).
% 2.01/1.89 tff(11709,plain,(~trans(s99, s73)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11710,assumption,(trans(s99, s57)), introduced(assumption)).
% 2.01/1.89 tff(11711,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s57) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s57) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s57)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11712,plain,
% 2.01/1.89 (((~trans(s99, s57)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s57)) <=> (until2p23(s57) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s57)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11713,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s57)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s57) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s57))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11712])).
% 2.01/1.89 tff(11714,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s57)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s57) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s57)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11713, 11711])).
% 2.01/1.89 tff(11715,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s57)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s57))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11716,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s57) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s57))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11715, 11714])).
% 2.01/1.89 tff(11717,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11716, 10432, 11710, 11331, 10881, 10422])).
% 2.01/1.89 tff(11718,plain,(~trans(s99, s57)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11719,assumption,(trans(s99, s45)), introduced(assumption)).
% 2.01/1.89 tff(11720,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s45) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s45) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s45)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11721,plain,
% 2.01/1.89 (((~trans(s99, s45)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s45)) <=> (until2p23(s45) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s45)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11722,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s45)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s45) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s45))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11721])).
% 2.01/1.89 tff(11723,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s45)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s45) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s45)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11722, 11720])).
% 2.01/1.89 tff(11724,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s45)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s45))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11725,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s45) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s45))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11724, 11723])).
% 2.01/1.89 tff(11726,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11725, 10432, 11719, 11331, 11001, 10422])).
% 2.01/1.89 tff(11727,plain,(~trans(s99, s45)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11728,plain,
% 2.01/1.89 (((~![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)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11729,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s3, s4)) | until2p23(s4) | (~xuntil2p24(s3)))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11730,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s3, s4)) | until2p23(s4) | (~xuntil2p24(s3))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 2.01/1.89 tff(11731,plain,
% 2.01/1.89 (until2p23(s4) | (~xuntil2p24(s3))),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11730, 580, 10461])).
% 2.01/1.89 tff(11732,plain,
% 2.01/1.89 (~xuntil2p24(s3)),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11731, 11421])).
% 2.01/1.89 tff(11733,plain,
% 2.01/1.89 (((~![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)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11734,plain,
% 2.01/1.89 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s3) | xuntil2p24(s3) | (~until2p23(s3)))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11735,plain,
% 2.01/1.89 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s3) | xuntil2p24(s3) | (~until2p23(s3))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11734, 11733])).
% 2.01/1.89 tff(11736,plain,
% 2.01/1.89 (xuntil2p24(s3) | (~until2p23(s3))),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11735, 10446, 9034])).
% 2.01/1.89 tff(11737,plain,
% 2.01/1.89 (~until2p23(s3)),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11736, 11732])).
% 2.01/1.89 tff(11738,plain,
% 2.01/1.89 (((~![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)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11739,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s2, s3)) | until2p23(s3) | (~xuntil2p24(s2)))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11740,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s2, s3)) | until2p23(s3) | (~xuntil2p24(s2))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11739, 11738])).
% 2.01/1.89 tff(11741,plain,
% 2.01/1.89 (until2p23(s3) | (~xuntil2p24(s2))),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11740, 460, 10461])).
% 2.01/1.89 tff(11742,plain,
% 2.01/1.89 (~xuntil2p24(s2)),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11741, 11737])).
% 2.01/1.89 tff(11743,plain,
% 2.01/1.89 (((~![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)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11744,plain,
% 2.01/1.89 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s2) | xuntil2p24(s2) | (~until2p23(s2)))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11745,plain,
% 2.01/1.89 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s2) | xuntil2p24(s2) | (~until2p23(s2))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 2.01/1.89 tff(11746,plain,
% 2.01/1.89 (xuntil2p24(s2) | (~until2p23(s2))),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11745, 10446, 9045])).
% 2.01/1.89 tff(11747,plain,
% 2.01/1.89 (~until2p23(s2)),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11746, 11742])).
% 2.01/1.89 tff(11748,assumption,(trans(s99, s2)), introduced(assumption)).
% 2.01/1.89 tff(11749,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s2) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s2) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s2)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11750,plain,
% 2.01/1.89 (((~trans(s99, s2)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s2)) <=> (until2p23(s2) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s2)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11751,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s2)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s2) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s2))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11750])).
% 2.01/1.89 tff(11752,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s2)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s2) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s2)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11751, 11749])).
% 2.01/1.89 tff(11753,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s2)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s2))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11754,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s2) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s2))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 2.01/1.89 tff(11755,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11754, 10432, 11748, 11331, 11747, 10422])).
% 2.01/1.89 tff(11756,plain,(~trans(s99, s2)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11757,assumption,(trans(s99, s59)), introduced(assumption)).
% 2.01/1.89 tff(11758,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s59) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s59) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s59)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11759,plain,
% 2.01/1.89 (((~trans(s99, s59)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s59)) <=> (until2p23(s59) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s59)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11760,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s59)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s59) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s59))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11759])).
% 2.01/1.89 tff(11761,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s59)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s59) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s59)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11760, 11758])).
% 2.01/1.89 tff(11762,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s59)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s59))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11763,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s59) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s59))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11762, 11761])).
% 2.01/1.89 tff(11764,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11763, 10432, 11757, 11331, 10861, 10422])).
% 2.01/1.89 tff(11765,plain,(~trans(s99, s59)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11766,assumption,(trans(s99, s56)), introduced(assumption)).
% 2.01/1.89 tff(11767,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s56) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s56) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s56)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11768,plain,
% 2.01/1.89 (((~trans(s99, s56)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s56)) <=> (until2p23(s56) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s56)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11769,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s56)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s56) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s56))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11768])).
% 2.01/1.89 tff(11770,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s56)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s56) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s56)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11769, 11767])).
% 2.01/1.89 tff(11771,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s56)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s56))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11772,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s56) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s56))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11771, 11770])).
% 2.01/1.89 tff(11773,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11772, 10432, 11766, 11331, 10891, 10422])).
% 2.01/1.89 tff(11774,plain,(~trans(s99, s56)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11775,assumption,(trans(s99, s49)), introduced(assumption)).
% 2.01/1.89 tff(11776,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s49) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s49) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s49)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11777,plain,
% 2.01/1.89 (((~trans(s99, s49)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s49)) <=> (until2p23(s49) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s49)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11778,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s49)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s49) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s49))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11777])).
% 2.01/1.89 tff(11779,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s49)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s49) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s49)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11778, 11776])).
% 2.01/1.89 tff(11780,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s49)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s49))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11781,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s49) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s49))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11780, 11779])).
% 2.01/1.89 tff(11782,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11781, 10432, 11775, 11331, 10961, 10422])).
% 2.01/1.89 tff(11783,plain,(~trans(s99, s49)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11784,assumption,(trans(s99, s90)), introduced(assumption)).
% 2.01/1.89 tff(11785,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s90) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s90) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s90)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11786,plain,
% 2.01/1.89 (((~trans(s99, s90)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s90)) <=> (until2p23(s90) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s90)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11787,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s90)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s90) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s90))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11786])).
% 2.01/1.89 tff(11788,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s90)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s90) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s90)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11787, 11785])).
% 2.01/1.89 tff(11789,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s90)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s90))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11790,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s90) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s90))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 2.01/1.89 tff(11791,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11790, 10432, 11784, 11331, 10551, 10422])).
% 2.01/1.89 tff(11792,plain,(~trans(s99, s90)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11793,assumption,(trans(s99, s86)), introduced(assumption)).
% 2.01/1.89 tff(11794,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s86) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s86) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s86)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11795,plain,
% 2.01/1.89 (((~trans(s99, s86)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s86)) <=> (until2p23(s86) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s86)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11796,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s86)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s86) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s86))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11795])).
% 2.01/1.89 tff(11797,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s86)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s86) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s86)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11796, 11794])).
% 2.01/1.89 tff(11798,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s86)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s86))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11799,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s86) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s86))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 2.01/1.89 tff(11800,plain,
% 2.01/1.89 ($false),
% 2.01/1.89 inference(unit_resolution,[status(thm)],[11799, 10432, 11793, 11331, 10591, 10422])).
% 2.01/1.89 tff(11801,plain,(~trans(s99, s86)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.89 tff(11802,assumption,(trans(s99, s71)), introduced(assumption)).
% 2.01/1.89 tff(11803,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s71) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s71) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s71)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11804,plain,
% 2.01/1.89 (((~trans(s99, s71)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s71)) <=> (until2p23(s71) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s71)))),
% 2.01/1.89 inference(rewrite,[status(thm)],[])).
% 2.01/1.89 tff(11805,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s71)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s71) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s71))))),
% 2.01/1.89 inference(monotonicity,[status(thm)],[11804])).
% 2.01/1.89 tff(11806,plain,
% 2.01/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s71)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s71) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s71)))),
% 2.01/1.89 inference(transitivity,[status(thm)],[11805, 11803])).
% 2.01/1.89 tff(11807,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s71)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s71))),
% 2.01/1.89 inference(quant_inst,[status(thm)],[])).
% 2.01/1.89 tff(11808,plain,
% 2.01/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s71) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s71))),
% 2.01/1.89 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 2.01/1.90 tff(11809,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11808, 10432, 11802, 11331, 10741, 10422])).
% 2.01/1.90 tff(11810,plain,(~trans(s99, s71)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11811,assumption,(trans(s99, s47)), introduced(assumption)).
% 2.01/1.90 tff(11812,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s47) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s47) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s47)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11813,plain,
% 2.01/1.90 (((~trans(s99, s47)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s47)) <=> (until2p23(s47) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s47)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11814,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s47)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s47) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s47))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11813])).
% 2.01/1.90 tff(11815,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s47)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s47) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s47)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11814, 11812])).
% 2.01/1.90 tff(11816,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s47)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s47))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11817,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s47) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s47))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 2.01/1.90 tff(11818,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11817, 10432, 11811, 11331, 10981, 10422])).
% 2.01/1.90 tff(11819,plain,(~trans(s99, s47)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11820,assumption,(trans(s99, s44)), introduced(assumption)).
% 2.01/1.90 tff(11821,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s44) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s44) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s44)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11822,plain,
% 2.01/1.90 (((~trans(s99, s44)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s44)) <=> (until2p23(s44) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s44)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11823,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s44)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s44) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s44))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11822])).
% 2.01/1.90 tff(11824,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s44)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s44) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s44)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11823, 11821])).
% 2.01/1.90 tff(11825,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s44)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s44))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11826,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s44) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s44))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 2.01/1.90 tff(11827,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11826, 10432, 11820, 11331, 11011, 10422])).
% 2.01/1.90 tff(11828,plain,(~trans(s99, s44)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11829,assumption,(trans(s99, s41)), introduced(assumption)).
% 2.01/1.90 tff(11830,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s41) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s41) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s41)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11831,plain,
% 2.01/1.90 (((~trans(s99, s41)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s41)) <=> (until2p23(s41) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s41)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11832,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s41)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s41) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s41))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11831])).
% 2.01/1.90 tff(11833,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s41)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s41) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s41)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11832, 11830])).
% 2.01/1.90 tff(11834,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s41)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s41))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11835,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s41) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s41))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 2.01/1.90 tff(11836,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11835, 10432, 11829, 11331, 11041, 10422])).
% 2.01/1.90 tff(11837,plain,(~trans(s99, s41)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11838,assumption,(trans(s99, s40)), introduced(assumption)).
% 2.01/1.90 tff(11839,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s40) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s40) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s40)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11840,plain,
% 2.01/1.90 (((~trans(s99, s40)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s40)) <=> (until2p23(s40) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s40)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11841,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s40)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s40) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s40))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11840])).
% 2.01/1.90 tff(11842,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s40)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s40) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s40)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11841, 11839])).
% 2.01/1.90 tff(11843,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s40)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s40))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11844,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s40) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s40))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 2.01/1.90 tff(11845,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11844, 10432, 11838, 11331, 11051, 10422])).
% 2.01/1.90 tff(11846,plain,(~trans(s99, s40)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11847,assumption,(trans(s99, s60)), introduced(assumption)).
% 2.01/1.90 tff(11848,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s60) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s60) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s60)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11849,plain,
% 2.01/1.90 (((~trans(s99, s60)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s60)) <=> (until2p23(s60) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s60)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11850,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s60)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s60) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s60))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11849])).
% 2.01/1.90 tff(11851,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s60)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s60) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s60)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11850, 11848])).
% 2.01/1.90 tff(11852,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s60)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s60))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11853,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s60) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s60))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 2.01/1.90 tff(11854,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11853, 10432, 11847, 11331, 10851, 10422])).
% 2.01/1.90 tff(11855,plain,(~trans(s99, s60)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11856,assumption,(trans(s99, s84)), introduced(assumption)).
% 2.01/1.90 tff(11857,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s84) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s84) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s84)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11858,plain,
% 2.01/1.90 (((~trans(s99, s84)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s84)) <=> (until2p23(s84) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s84)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11859,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s84)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s84) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s84))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11858])).
% 2.01/1.90 tff(11860,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s84)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s84) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s84)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11859, 11857])).
% 2.01/1.90 tff(11861,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s84)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s84))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11862,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s84) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s84))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11861, 11860])).
% 2.01/1.90 tff(11863,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11862, 10432, 11856, 11331, 10611, 10422])).
% 2.01/1.90 tff(11864,plain,(~trans(s99, s84)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11865,assumption,(trans(s99, s85)), introduced(assumption)).
% 2.01/1.90 tff(11866,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s85) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s85) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s85)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11867,plain,
% 2.01/1.90 (((~trans(s99, s85)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s85)) <=> (until2p23(s85) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s85)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11868,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s85)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s85) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s85))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11867])).
% 2.01/1.90 tff(11869,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s85)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s85) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s85)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11868, 11866])).
% 2.01/1.90 tff(11870,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s85)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s85))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11871,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s85) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s85))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 2.01/1.90 tff(11872,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11871, 10432, 11865, 11331, 10601, 10422])).
% 2.01/1.90 tff(11873,plain,(~trans(s99, s85)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11874,assumption,(trans(s99, s28)), introduced(assumption)).
% 2.01/1.90 tff(11875,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s28) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s28) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s28)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11876,plain,
% 2.01/1.90 (((~trans(s99, s28)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s28)) <=> (until2p23(s28) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s28)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11877,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s28)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s28) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s28))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11876])).
% 2.01/1.90 tff(11878,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s28)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s28) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s28)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11877, 11875])).
% 2.01/1.90 tff(11879,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s28)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s28))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11880,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s28) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s28))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11879, 11878])).
% 2.01/1.90 tff(11881,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11880, 10432, 11874, 11331, 11171, 10422])).
% 2.01/1.90 tff(11882,plain,(~trans(s99, s28)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11883,assumption,(trans(s99, s52)), introduced(assumption)).
% 2.01/1.90 tff(11884,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s52) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s52) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s52)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11885,plain,
% 2.01/1.90 (((~trans(s99, s52)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s52)) <=> (until2p23(s52) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s52)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11886,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s52)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s52) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s52))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11885])).
% 2.01/1.90 tff(11887,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s52)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s52) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s52)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11886, 11884])).
% 2.01/1.90 tff(11888,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s52)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s52))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11889,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s52) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s52))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 2.01/1.90 tff(11890,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11889, 10432, 11883, 11331, 10931, 10422])).
% 2.01/1.90 tff(11891,plain,(~trans(s99, s52)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11892,assumption,(trans(s99, s10)), introduced(assumption)).
% 2.01/1.90 tff(11893,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s10) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s10) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s10)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11894,plain,
% 2.01/1.90 (((~trans(s99, s10)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s10)) <=> (until2p23(s10) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s10)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11895,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s10)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s10) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s10))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11894])).
% 2.01/1.90 tff(11896,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s10)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s10) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s10)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11895, 11893])).
% 2.01/1.90 tff(11897,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s10)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s10))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11898,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s10) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s10))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 2.01/1.90 tff(11899,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11898, 10432, 11892, 11331, 11361, 10422])).
% 2.01/1.90 tff(11900,plain,(~trans(s99, s10)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11901,assumption,(trans(s99, s29)), introduced(assumption)).
% 2.01/1.90 tff(11902,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s29) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s29) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s29)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11903,plain,
% 2.01/1.90 (((~trans(s99, s29)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s29)) <=> (until2p23(s29) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s29)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11904,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s29)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s29) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s29))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11903])).
% 2.01/1.90 tff(11905,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s29)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s29) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s29)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11904, 11902])).
% 2.01/1.90 tff(11906,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s29)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s29))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11907,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s29) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s29))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 2.01/1.90 tff(11908,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11907, 10432, 11901, 11331, 11161, 10422])).
% 2.01/1.90 tff(11909,plain,(~trans(s99, s29)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11910,assumption,(trans(s99, s42)), introduced(assumption)).
% 2.01/1.90 tff(11911,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s42) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s42) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s42)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11912,plain,
% 2.01/1.90 (((~trans(s99, s42)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s42)) <=> (until2p23(s42) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s42)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11913,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s42)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s42) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s42))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11912])).
% 2.01/1.90 tff(11914,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s42)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s42) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s42)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11913, 11911])).
% 2.01/1.90 tff(11915,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s42)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s42))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11916,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s42) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s42))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11915, 11914])).
% 2.01/1.90 tff(11917,plain,
% 2.01/1.90 ($false),
% 2.01/1.90 inference(unit_resolution,[status(thm)],[11916, 10432, 11910, 11331, 11031, 10422])).
% 2.01/1.90 tff(11918,plain,(~trans(s99, s42)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.90 tff(11919,assumption,(trans(s99, s6)), introduced(assumption)).
% 2.01/1.90 tff(11920,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s6) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s6) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s6)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11921,plain,
% 2.01/1.90 (((~trans(s99, s6)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s6)) <=> (until2p23(s6) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s6)))),
% 2.01/1.90 inference(rewrite,[status(thm)],[])).
% 2.01/1.90 tff(11922,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s6)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s6) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s6))))),
% 2.01/1.90 inference(monotonicity,[status(thm)],[11921])).
% 2.01/1.90 tff(11923,plain,
% 2.01/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s6)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s6) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s6)))),
% 2.01/1.90 inference(transitivity,[status(thm)],[11922, 11920])).
% 2.01/1.90 tff(11924,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s6)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s6))),
% 2.01/1.90 inference(quant_inst,[status(thm)],[])).
% 2.01/1.90 tff(11925,plain,
% 2.01/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s6) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s6))),
% 2.01/1.90 inference(modus_ponens,[status(thm)],[11924, 11923])).
% 2.01/1.91 tff(11926,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11925, 10432, 11919, 11331, 11401, 10422])).
% 2.01/1.91 tff(11927,plain,(~trans(s99, s6)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11928,assumption,(trans(s99, s32)), introduced(assumption)).
% 2.01/1.91 tff(11929,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s32) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s32) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s32)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11930,plain,
% 2.01/1.91 (((~trans(s99, s32)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s32)) <=> (until2p23(s32) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s32)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11931,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s32)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s32) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s32))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11930])).
% 2.01/1.91 tff(11932,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s32)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s32) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s32)))),
% 2.01/1.91 inference(transitivity,[status(thm)],[11931, 11929])).
% 2.01/1.91 tff(11933,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s32)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s32))),
% 2.01/1.91 inference(quant_inst,[status(thm)],[])).
% 2.01/1.91 tff(11934,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s32) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s32))),
% 2.01/1.91 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 2.01/1.91 tff(11935,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11934, 10432, 11928, 11331, 11131, 10422])).
% 2.01/1.91 tff(11936,plain,(~trans(s99, s32)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11937,assumption,(trans(s99, s82)), introduced(assumption)).
% 2.01/1.91 tff(11938,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s82) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s82) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s82)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11939,plain,
% 2.01/1.91 (((~trans(s99, s82)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s82)) <=> (until2p23(s82) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s82)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11940,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s82)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s82) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s82))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11939])).
% 2.01/1.91 tff(11941,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s82)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s82) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s82)))),
% 2.01/1.91 inference(transitivity,[status(thm)],[11940, 11938])).
% 2.01/1.91 tff(11942,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s82)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s82))),
% 2.01/1.91 inference(quant_inst,[status(thm)],[])).
% 2.01/1.91 tff(11943,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s82) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s82))),
% 2.01/1.91 inference(modus_ponens,[status(thm)],[11942, 11941])).
% 2.01/1.91 tff(11944,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11943, 10432, 11937, 11331, 10631, 10422])).
% 2.01/1.91 tff(11945,plain,(~trans(s99, s82)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11946,assumption,(trans(s99, s67)), introduced(assumption)).
% 2.01/1.91 tff(11947,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s67) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s67) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s67)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11948,plain,
% 2.01/1.91 (((~trans(s99, s67)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s67)) <=> (until2p23(s67) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s67)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11949,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s67)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s67) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s67))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11948])).
% 2.01/1.91 tff(11950,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s67)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s67) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s67)))),
% 2.01/1.91 inference(transitivity,[status(thm)],[11949, 11947])).
% 2.01/1.91 tff(11951,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s67)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s67))),
% 2.01/1.91 inference(quant_inst,[status(thm)],[])).
% 2.01/1.91 tff(11952,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s67) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s67))),
% 2.01/1.91 inference(modus_ponens,[status(thm)],[11951, 11950])).
% 2.01/1.91 tff(11953,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11952, 10432, 11946, 11331, 10781, 10422])).
% 2.01/1.91 tff(11954,plain,(~trans(s99, s67)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11955,assumption,(trans(s99, s63)), introduced(assumption)).
% 2.01/1.91 tff(11956,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s63) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s63) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s63)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11957,plain,
% 2.01/1.91 (((~trans(s99, s63)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s63)) <=> (until2p23(s63) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s63)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11958,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s63)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s63) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s63))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11957])).
% 2.01/1.91 tff(11959,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s63)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s63) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s63)))),
% 2.01/1.91 inference(transitivity,[status(thm)],[11958, 11956])).
% 2.01/1.91 tff(11960,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s63)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s63))),
% 2.01/1.91 inference(quant_inst,[status(thm)],[])).
% 2.01/1.91 tff(11961,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s63) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s63))),
% 2.01/1.91 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 2.01/1.91 tff(11962,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11961, 10432, 11955, 11331, 10821, 10422])).
% 2.01/1.91 tff(11963,plain,(~trans(s99, s63)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11964,assumption,(trans(s99, s62)), introduced(assumption)).
% 2.01/1.91 tff(11965,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s62) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s62) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s62)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11966,plain,
% 2.01/1.91 (((~trans(s99, s62)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s62)) <=> (until2p23(s62) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s62)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11967,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s62)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s62) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s62))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11966])).
% 2.01/1.91 tff(11968,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s62)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s62) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s62)))),
% 2.01/1.91 inference(transitivity,[status(thm)],[11967, 11965])).
% 2.01/1.91 tff(11969,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s62)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s62))),
% 2.01/1.91 inference(quant_inst,[status(thm)],[])).
% 2.01/1.91 tff(11970,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s62) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s62))),
% 2.01/1.91 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 2.01/1.91 tff(11971,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11970, 10432, 11964, 11331, 10831, 10422])).
% 2.01/1.91 tff(11972,plain,(~trans(s99, s62)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11973,assumption,(trans(s99, s66)), introduced(assumption)).
% 2.01/1.91 tff(11974,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s66) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s66) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s66)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11975,plain,
% 2.01/1.91 (((~trans(s99, s66)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s66)) <=> (until2p23(s66) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s66)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11976,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s66)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s66) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s66))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11975])).
% 2.01/1.91 tff(11977,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s66)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s66) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s66)))),
% 2.01/1.91 inference(transitivity,[status(thm)],[11976, 11974])).
% 2.01/1.91 tff(11978,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s66)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s66))),
% 2.01/1.91 inference(quant_inst,[status(thm)],[])).
% 2.01/1.91 tff(11979,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s66) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s66))),
% 2.01/1.91 inference(modus_ponens,[status(thm)],[11978, 11977])).
% 2.01/1.91 tff(11980,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11979, 10432, 11973, 11331, 10791, 10422])).
% 2.01/1.91 tff(11981,plain,(~trans(s99, s66)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11982,assumption,(trans(s99, s61)), introduced(assumption)).
% 2.01/1.91 tff(11983,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s61) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s61) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s61)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11984,plain,
% 2.01/1.91 (((~trans(s99, s61)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s61)) <=> (until2p23(s61) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s61)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11985,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s61)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s61) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s61))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11984])).
% 2.01/1.91 tff(11986,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s61)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s61) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s61)))),
% 2.01/1.91 inference(transitivity,[status(thm)],[11985, 11983])).
% 2.01/1.91 tff(11987,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s61)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s61))),
% 2.01/1.91 inference(quant_inst,[status(thm)],[])).
% 2.01/1.91 tff(11988,plain,
% 2.01/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s61) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s61))),
% 2.01/1.91 inference(modus_ponens,[status(thm)],[11987, 11986])).
% 2.01/1.91 tff(11989,plain,
% 2.01/1.91 ($false),
% 2.01/1.91 inference(unit_resolution,[status(thm)],[11988, 10432, 11982, 11331, 10841, 10422])).
% 2.01/1.91 tff(11990,plain,(~trans(s99, s61)), inference(lemma,lemma(discharge,[]))).
% 2.01/1.91 tff(11991,assumption,(trans(s99, s65)), introduced(assumption)).
% 2.01/1.91 tff(11992,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s65) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s65) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s65)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11993,plain,
% 2.01/1.91 (((~trans(s99, s65)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s65)) <=> (until2p23(s65) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s65)))),
% 2.01/1.91 inference(rewrite,[status(thm)],[])).
% 2.01/1.91 tff(11994,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s65)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s65) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s65))))),
% 2.01/1.91 inference(monotonicity,[status(thm)],[11993])).
% 2.01/1.91 tff(11995,plain,
% 2.01/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s65)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s65) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s65)))),
% 2.08/1.91 inference(transitivity,[status(thm)],[11994, 11992])).
% 2.08/1.91 tff(11996,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s65)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s65))),
% 2.08/1.91 inference(quant_inst,[status(thm)],[])).
% 2.08/1.91 tff(11997,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s65) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s65))),
% 2.08/1.91 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 2.08/1.91 tff(11998,plain,
% 2.08/1.91 ($false),
% 2.08/1.91 inference(unit_resolution,[status(thm)],[11997, 10432, 11991, 11331, 10801, 10422])).
% 2.08/1.91 tff(11999,plain,(~trans(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.91 tff(12000,assumption,(trans(s99, s79)), introduced(assumption)).
% 2.08/1.91 tff(12001,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s79) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s79) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s79)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12002,plain,
% 2.08/1.91 (((~trans(s99, s79)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s79)) <=> (until2p23(s79) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s79)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12003,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s79)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s79) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s79))))),
% 2.08/1.91 inference(monotonicity,[status(thm)],[12002])).
% 2.08/1.91 tff(12004,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s79)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s79) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s79)))),
% 2.08/1.91 inference(transitivity,[status(thm)],[12003, 12001])).
% 2.08/1.91 tff(12005,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s79)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s79))),
% 2.08/1.91 inference(quant_inst,[status(thm)],[])).
% 2.08/1.91 tff(12006,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s79) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s79))),
% 2.08/1.91 inference(modus_ponens,[status(thm)],[12005, 12004])).
% 2.08/1.91 tff(12007,plain,
% 2.08/1.91 ($false),
% 2.08/1.91 inference(unit_resolution,[status(thm)],[12006, 10432, 12000, 11331, 10661, 10422])).
% 2.08/1.91 tff(12008,plain,(~trans(s99, s79)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.91 tff(12009,assumption,(trans(s99, s11)), introduced(assumption)).
% 2.08/1.91 tff(12010,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s11) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s11) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s11)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12011,plain,
% 2.08/1.91 (((~trans(s99, s11)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s11)) <=> (until2p23(s11) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s11)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12012,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s11)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s11) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s11))))),
% 2.08/1.91 inference(monotonicity,[status(thm)],[12011])).
% 2.08/1.91 tff(12013,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s11)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s11) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s11)))),
% 2.08/1.91 inference(transitivity,[status(thm)],[12012, 12010])).
% 2.08/1.91 tff(12014,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s11)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s11))),
% 2.08/1.91 inference(quant_inst,[status(thm)],[])).
% 2.08/1.91 tff(12015,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s11) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s11))),
% 2.08/1.91 inference(modus_ponens,[status(thm)],[12014, 12013])).
% 2.08/1.91 tff(12016,plain,
% 2.08/1.91 ($false),
% 2.08/1.91 inference(unit_resolution,[status(thm)],[12015, 10432, 12009, 11331, 11351, 10422])).
% 2.08/1.91 tff(12017,plain,(~trans(s99, s11)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.91 tff(12018,assumption,(trans(s99, s81)), introduced(assumption)).
% 2.08/1.91 tff(12019,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s81) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s81) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s81)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12020,plain,
% 2.08/1.91 (((~trans(s99, s81)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s81)) <=> (until2p23(s81) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s81)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12021,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s81)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s81) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s81))))),
% 2.08/1.91 inference(monotonicity,[status(thm)],[12020])).
% 2.08/1.91 tff(12022,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s81)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s81) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s81)))),
% 2.08/1.91 inference(transitivity,[status(thm)],[12021, 12019])).
% 2.08/1.91 tff(12023,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s81)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s81))),
% 2.08/1.91 inference(quant_inst,[status(thm)],[])).
% 2.08/1.91 tff(12024,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s81) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s81))),
% 2.08/1.91 inference(modus_ponens,[status(thm)],[12023, 12022])).
% 2.08/1.91 tff(12025,plain,
% 2.08/1.91 ($false),
% 2.08/1.91 inference(unit_resolution,[status(thm)],[12024, 10432, 12018, 11331, 10641, 10422])).
% 2.08/1.91 tff(12026,plain,(~trans(s99, s81)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.91 tff(12027,assumption,(trans(s99, s21)), introduced(assumption)).
% 2.08/1.91 tff(12028,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s21) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s21) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s21)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12029,plain,
% 2.08/1.91 (((~trans(s99, s21)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s21)) <=> (until2p23(s21) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s21)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12030,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s21)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s21) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s21))))),
% 2.08/1.91 inference(monotonicity,[status(thm)],[12029])).
% 2.08/1.91 tff(12031,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s21)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s21) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s21)))),
% 2.08/1.91 inference(transitivity,[status(thm)],[12030, 12028])).
% 2.08/1.91 tff(12032,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s21)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s21))),
% 2.08/1.91 inference(quant_inst,[status(thm)],[])).
% 2.08/1.91 tff(12033,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s21) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s21))),
% 2.08/1.91 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 2.08/1.91 tff(12034,plain,
% 2.08/1.91 ($false),
% 2.08/1.91 inference(unit_resolution,[status(thm)],[12033, 10432, 12027, 11331, 11241, 10422])).
% 2.08/1.91 tff(12035,plain,(~trans(s99, s21)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.91 tff(12036,assumption,(trans(s99, s24)), introduced(assumption)).
% 2.08/1.91 tff(12037,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s24) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s24) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s24)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12038,plain,
% 2.08/1.91 (((~trans(s99, s24)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s24)) <=> (until2p23(s24) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s24)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12039,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s24)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s24) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s24))))),
% 2.08/1.91 inference(monotonicity,[status(thm)],[12038])).
% 2.08/1.91 tff(12040,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s24)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s24) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s24)))),
% 2.08/1.91 inference(transitivity,[status(thm)],[12039, 12037])).
% 2.08/1.91 tff(12041,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s24)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s24))),
% 2.08/1.91 inference(quant_inst,[status(thm)],[])).
% 2.08/1.91 tff(12042,plain,
% 2.08/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s24) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s24))),
% 2.08/1.91 inference(modus_ponens,[status(thm)],[12041, 12040])).
% 2.08/1.91 tff(12043,plain,
% 2.08/1.91 ($false),
% 2.08/1.91 inference(unit_resolution,[status(thm)],[12042, 10432, 12036, 11331, 11211, 10422])).
% 2.08/1.91 tff(12044,plain,(~trans(s99, s24)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.91 tff(12045,assumption,(trans(s99, s25)), introduced(assumption)).
% 2.08/1.91 tff(12046,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s25) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s25) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s25)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12047,plain,
% 2.08/1.91 (((~trans(s99, s25)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s25)) <=> (until2p23(s25) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s25)))),
% 2.08/1.91 inference(rewrite,[status(thm)],[])).
% 2.08/1.91 tff(12048,plain,
% 2.08/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s25)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s25) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s25))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12047])).
% 2.08/1.92 tff(12049,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s25)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s25) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s25)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12048, 12046])).
% 2.08/1.92 tff(12050,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s25)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s25))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12051,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s25) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s25))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12050, 12049])).
% 2.08/1.92 tff(12052,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12051, 10432, 12045, 11331, 11201, 10422])).
% 2.08/1.92 tff(12053,plain,(~trans(s99, s25)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12054,assumption,(trans(s99, s70)), introduced(assumption)).
% 2.08/1.92 tff(12055,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s70) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s70) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s70)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12056,plain,
% 2.08/1.92 (((~trans(s99, s70)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s70)) <=> (until2p23(s70) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s70)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12057,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s70)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s70) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s70))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12056])).
% 2.08/1.92 tff(12058,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s70)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s70) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s70)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12057, 12055])).
% 2.08/1.92 tff(12059,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s70)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s70))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12060,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s70) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s70))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12059, 12058])).
% 2.08/1.92 tff(12061,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12060, 10432, 12054, 11331, 10751, 10422])).
% 2.08/1.92 tff(12062,plain,(~trans(s99, s70)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12063,assumption,(trans(s99, s27)), introduced(assumption)).
% 2.08/1.92 tff(12064,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s27) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s27) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s27)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12065,plain,
% 2.08/1.92 (((~trans(s99, s27)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s27)) <=> (until2p23(s27) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s27)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12066,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s27)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s27) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s27))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12065])).
% 2.08/1.92 tff(12067,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s27)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s27) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s27)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12066, 12064])).
% 2.08/1.92 tff(12068,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s27)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s27))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12069,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s27) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s27))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12068, 12067])).
% 2.08/1.92 tff(12070,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12069, 10432, 12063, 11331, 11181, 10422])).
% 2.08/1.92 tff(12071,plain,(~trans(s99, s27)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12072,assumption,(trans(s99, s78)), introduced(assumption)).
% 2.08/1.92 tff(12073,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s78) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s78) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s78)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12074,plain,
% 2.08/1.92 (((~trans(s99, s78)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s78)) <=> (until2p23(s78) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s78)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12075,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s78)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s78) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s78))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12074])).
% 2.08/1.92 tff(12076,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s78)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s78) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s78)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12075, 12073])).
% 2.08/1.92 tff(12077,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s78)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s78))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12078,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s78) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s78))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12077, 12076])).
% 2.08/1.92 tff(12079,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12078, 10432, 12072, 11331, 10671, 10422])).
% 2.08/1.92 tff(12080,plain,(~trans(s99, s78)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12081,assumption,(trans(s99, s93)), introduced(assumption)).
% 2.08/1.92 tff(12082,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s93) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s93) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s93)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12083,plain,
% 2.08/1.92 (((~trans(s99, s93)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s93)) <=> (until2p23(s93) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s93)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12084,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s93)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s93) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s93))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12083])).
% 2.08/1.92 tff(12085,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s93)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s93) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s93)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12084, 12082])).
% 2.08/1.92 tff(12086,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s93)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s93))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12087,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s93) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s93))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12086, 12085])).
% 2.08/1.92 tff(12088,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12087, 10432, 12081, 11331, 10521, 10422])).
% 2.08/1.92 tff(12089,plain,(~trans(s99, s93)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12090,assumption,(trans(s99, s39)), introduced(assumption)).
% 2.08/1.92 tff(12091,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s39) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s39) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s39)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12092,plain,
% 2.08/1.92 (((~trans(s99, s39)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s39)) <=> (until2p23(s39) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s39)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12093,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s39)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s39) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s39))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12092])).
% 2.08/1.92 tff(12094,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s39)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s39) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s39)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12093, 12091])).
% 2.08/1.92 tff(12095,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s39)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s39))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12096,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s39) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s39))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 2.08/1.92 tff(12097,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12096, 10432, 12090, 11331, 11061, 10422])).
% 2.08/1.92 tff(12098,plain,(~trans(s99, s39)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12099,assumption,(trans(s99, s95)), introduced(assumption)).
% 2.08/1.92 tff(12100,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s95) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s95) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s95)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12101,plain,
% 2.08/1.92 (((~trans(s99, s95)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s95)) <=> (until2p23(s95) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s95)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12102,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s95)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s95) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s95))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12101])).
% 2.08/1.92 tff(12103,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s95)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s95) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s95)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12102, 12100])).
% 2.08/1.92 tff(12104,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s95)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s95))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12105,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s95) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s95))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 2.08/1.92 tff(12106,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12105, 10432, 12099, 11331, 10501, 10422])).
% 2.08/1.92 tff(12107,plain,(~trans(s99, s95)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12108,assumption,(trans(s99, s98)), introduced(assumption)).
% 2.08/1.92 tff(12109,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s98) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s98) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s98)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12110,plain,
% 2.08/1.92 (((~trans(s99, s98)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s98)) <=> (until2p23(s98) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s98)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12111,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s98)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s98) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s98))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12110])).
% 2.08/1.92 tff(12112,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s98)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s98) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s98)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12111, 12109])).
% 2.08/1.92 tff(12113,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s98)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s98))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12114,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s98) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s98))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 2.08/1.92 tff(12115,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12114, 10432, 12108, 11331, 10471, 10422])).
% 2.08/1.92 tff(12116,plain,(~trans(s99, s98)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12117,plain,
% 2.08/1.92 (((~![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)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12118,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s1, s2)) | until2p23(s2) | (~xuntil2p24(s1)))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12119,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s1, s2)) | until2p23(s2) | (~xuntil2p24(s1))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 2.08/1.92 tff(12120,plain,
% 2.08/1.92 (until2p23(s2) | (~xuntil2p24(s1))),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12119, 256, 10461])).
% 2.08/1.92 tff(12121,plain,
% 2.08/1.92 (~xuntil2p24(s1)),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12120, 11747])).
% 2.08/1.92 tff(12122,plain,
% 2.08/1.92 (((~![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)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12123,plain,
% 2.08/1.92 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s1) | xuntil2p24(s1) | (~until2p23(s1)))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12124,plain,
% 2.08/1.92 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s1) | xuntil2p24(s1) | (~until2p23(s1))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12123, 12122])).
% 2.08/1.92 tff(12125,plain,
% 2.08/1.92 (xuntil2p24(s1) | (~until2p23(s1))),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12124, 10446, 9054])).
% 2.08/1.92 tff(12126,plain,
% 2.08/1.92 (~until2p23(s1)),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12125, 12121])).
% 2.08/1.92 tff(12127,assumption,(trans(s99, s1)), introduced(assumption)).
% 2.08/1.92 tff(12128,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s1) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s1) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s1)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12129,plain,
% 2.08/1.92 (((~trans(s99, s1)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s1)) <=> (until2p23(s1) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s1)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12130,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s1)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s1) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s1))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12129])).
% 2.08/1.92 tff(12131,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s1)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s1) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s1)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12130, 12128])).
% 2.08/1.92 tff(12132,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s1)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s1))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12133,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s1) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s1))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 2.08/1.92 tff(12134,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12133, 10432, 12127, 11331, 12126, 10422])).
% 2.08/1.92 tff(12135,plain,(~trans(s99, s1)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12136,assumption,(trans(s99, s3)), introduced(assumption)).
% 2.08/1.92 tff(12137,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s3) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s3) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s3)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12138,plain,
% 2.08/1.92 (((~trans(s99, s3)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s3)) <=> (until2p23(s3) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s3)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12139,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s3)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s3) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s3))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12138])).
% 2.08/1.92 tff(12140,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s3)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s3) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s3)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12139, 12137])).
% 2.08/1.92 tff(12141,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s3)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s3))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12142,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s3) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s3))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12141, 12140])).
% 2.08/1.92 tff(12143,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12142, 10432, 12136, 11331, 11737, 10422])).
% 2.08/1.92 tff(12144,plain,(~trans(s99, s3)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12145,assumption,(trans(s99, s5)), introduced(assumption)).
% 2.08/1.92 tff(12146,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s5) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s5) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s5)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12147,plain,
% 2.08/1.92 (((~trans(s99, s5)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s5)) <=> (until2p23(s5) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s5)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12148,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s5)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s5) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s5))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12147])).
% 2.08/1.92 tff(12149,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s5)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s5) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s5)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12148, 12146])).
% 2.08/1.92 tff(12150,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s5)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s5))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12151,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s5) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s5))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 2.08/1.92 tff(12152,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12151, 10432, 12145, 11331, 11411, 10422])).
% 2.08/1.92 tff(12153,plain,(~trans(s99, s5)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12154,assumption,(trans(s99, s7)), introduced(assumption)).
% 2.08/1.92 tff(12155,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s7) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s7) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s7)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12156,plain,
% 2.08/1.92 (((~trans(s99, s7)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s7)) <=> (until2p23(s7) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s7)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12157,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s7)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s7) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s7))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12156])).
% 2.08/1.92 tff(12158,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s7)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s7) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s7)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12157, 12155])).
% 2.08/1.92 tff(12159,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s7)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s7))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12160,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s7) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s7))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12159, 12158])).
% 2.08/1.92 tff(12161,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12160, 10432, 12154, 11331, 11391, 10422])).
% 2.08/1.92 tff(12162,plain,(~trans(s99, s7)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12163,assumption,(trans(s99, s96)), introduced(assumption)).
% 2.08/1.92 tff(12164,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s96) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s96) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s96)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12165,plain,
% 2.08/1.92 (((~trans(s99, s96)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s96)) <=> (until2p23(s96) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s96)))),
% 2.08/1.92 inference(rewrite,[status(thm)],[])).
% 2.08/1.92 tff(12166,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s96)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s96) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s96))))),
% 2.08/1.92 inference(monotonicity,[status(thm)],[12165])).
% 2.08/1.92 tff(12167,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s96)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s96) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s96)))),
% 2.08/1.92 inference(transitivity,[status(thm)],[12166, 12164])).
% 2.08/1.92 tff(12168,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s96)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s96))),
% 2.08/1.92 inference(quant_inst,[status(thm)],[])).
% 2.08/1.92 tff(12169,plain,
% 2.08/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s96) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s96))),
% 2.08/1.92 inference(modus_ponens,[status(thm)],[12168, 12167])).
% 2.08/1.92 tff(12170,plain,
% 2.08/1.92 ($false),
% 2.08/1.92 inference(unit_resolution,[status(thm)],[12169, 10432, 12163, 11331, 10491, 10422])).
% 2.08/1.92 tff(12171,plain,(~trans(s99, s96)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.92 tff(12172,assumption,(trans(s99, s80)), introduced(assumption)).
% 2.08/1.92 tff(12173,plain,
% 2.08/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s80) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s80) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s80)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12174,plain,
% 2.08/1.93 (((~trans(s99, s80)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s80)) <=> (until2p23(s80) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s80)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12175,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s80)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s80) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s80))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12174])).
% 2.08/1.93 tff(12176,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s80)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s80) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s80)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12175, 12173])).
% 2.08/1.93 tff(12177,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s80)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s80))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12178,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s80) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s80))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 2.08/1.93 tff(12179,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12178, 10432, 12172, 11331, 10651, 10422])).
% 2.08/1.93 tff(12180,plain,(~trans(s99, s80)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12181,assumption,(trans(s99, s19)), introduced(assumption)).
% 2.08/1.93 tff(12182,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s19) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s19) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s19)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12183,plain,
% 2.08/1.93 (((~trans(s99, s19)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s19)) <=> (until2p23(s19) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s19)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12184,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s19)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s19) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s19))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12183])).
% 2.08/1.93 tff(12185,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s19)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s19) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s19)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12184, 12182])).
% 2.08/1.93 tff(12186,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s19)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s19))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12187,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s19) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s19))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 2.08/1.93 tff(12188,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12187, 10432, 12181, 11331, 11261, 10422])).
% 2.08/1.93 tff(12189,plain,(~trans(s99, s19)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12190,assumption,(trans(s99, s51)), introduced(assumption)).
% 2.08/1.93 tff(12191,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s51) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s51) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s51)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12192,plain,
% 2.08/1.93 (((~trans(s99, s51)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s51)) <=> (until2p23(s51) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s51)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12193,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s51)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s51) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s51))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12192])).
% 2.08/1.93 tff(12194,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s51)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s51) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s51)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12193, 12191])).
% 2.08/1.93 tff(12195,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s51)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s51))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12196,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s51) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s51))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 2.08/1.93 tff(12197,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12196, 10432, 12190, 11331, 10941, 10422])).
% 2.08/1.93 tff(12198,plain,(~trans(s99, s51)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12199,assumption,(trans(s99, s53)), introduced(assumption)).
% 2.08/1.93 tff(12200,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s53) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s53) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s53)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12201,plain,
% 2.08/1.93 (((~trans(s99, s53)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s53)) <=> (until2p23(s53) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s53)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12202,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s53)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s53) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s53))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12201])).
% 2.08/1.93 tff(12203,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s53)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s53) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s53)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12202, 12200])).
% 2.08/1.93 tff(12204,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s53)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s53))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12205,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s53) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s53))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 2.08/1.93 tff(12206,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12205, 10432, 12199, 11331, 10921, 10422])).
% 2.08/1.93 tff(12207,plain,(~trans(s99, s53)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12208,assumption,(trans(s99, s55)), introduced(assumption)).
% 2.08/1.93 tff(12209,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s55) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s55) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s55)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12210,plain,
% 2.08/1.93 (((~trans(s99, s55)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s55)) <=> (until2p23(s55) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s55)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12211,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s55)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s55) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s55))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12210])).
% 2.08/1.93 tff(12212,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s55)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s55) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s55)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12211, 12209])).
% 2.08/1.93 tff(12213,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s55)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s55))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12214,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s55) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s55))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12213, 12212])).
% 2.08/1.93 tff(12215,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12214, 10432, 12208, 11331, 10901, 10422])).
% 2.08/1.93 tff(12216,plain,(~trans(s99, s55)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12217,assumption,(trans(s99, s17)), introduced(assumption)).
% 2.08/1.93 tff(12218,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s17) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s17) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s17)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12219,plain,
% 2.08/1.93 (((~trans(s99, s17)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s17)) <=> (until2p23(s17) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s17)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12220,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s17)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s17) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s17))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12219])).
% 2.08/1.93 tff(12221,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s17)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s17) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s17)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12220, 12218])).
% 2.08/1.93 tff(12222,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s17)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s17))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12223,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s17) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s17))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12222, 12221])).
% 2.08/1.93 tff(12224,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12223, 10432, 12217, 11331, 11281, 10422])).
% 2.08/1.93 tff(12225,plain,(~trans(s99, s17)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12226,assumption,(trans(s99, s23)), introduced(assumption)).
% 2.08/1.93 tff(12227,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s23) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s23) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s23)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12228,plain,
% 2.08/1.93 (((~trans(s99, s23)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s23)) <=> (until2p23(s23) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s23)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12229,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s23)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s23) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s23))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12228])).
% 2.08/1.93 tff(12230,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s23)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s23) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s23)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12229, 12227])).
% 2.08/1.93 tff(12231,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s23)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s23))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12232,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s23) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s23))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12231, 12230])).
% 2.08/1.93 tff(12233,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12232, 10432, 12226, 11331, 11221, 10422])).
% 2.08/1.93 tff(12234,plain,(~trans(s99, s23)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12235,assumption,(trans(s99, s9)), introduced(assumption)).
% 2.08/1.93 tff(12236,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s9) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s9) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s9)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12237,plain,
% 2.08/1.93 (((~trans(s99, s9)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s9)) <=> (until2p23(s9) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s9)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12238,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s9)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s9) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s9))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12237])).
% 2.08/1.93 tff(12239,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s9)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s9) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s9)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12238, 12236])).
% 2.08/1.93 tff(12240,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s9)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s9))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12241,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s9) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s9))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 2.08/1.93 tff(12242,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12241, 10432, 12235, 11331, 11371, 10422])).
% 2.08/1.93 tff(12243,plain,(~trans(s99, s9)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12244,assumption,(trans(s99, s30)), introduced(assumption)).
% 2.08/1.93 tff(12245,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s30) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s30) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s30)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12246,plain,
% 2.08/1.93 (((~trans(s99, s30)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s30)) <=> (until2p23(s30) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s30)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12247,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s30)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s30) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s30))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12246])).
% 2.08/1.93 tff(12248,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s30)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s30) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s30)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12247, 12245])).
% 2.08/1.93 tff(12249,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s30)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s30))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12250,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s30) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s30))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 2.08/1.93 tff(12251,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12250, 10432, 12244, 11331, 11151, 10422])).
% 2.08/1.93 tff(12252,plain,(~trans(s99, s30)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12253,assumption,(trans(s99, s31)), introduced(assumption)).
% 2.08/1.93 tff(12254,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s31) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s31) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s31)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12255,plain,
% 2.08/1.93 (((~trans(s99, s31)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s31)) <=> (until2p23(s31) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s31)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12256,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s31)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s31) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s31))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12255])).
% 2.08/1.93 tff(12257,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s31)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s31) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s31)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12256, 12254])).
% 2.08/1.93 tff(12258,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s31)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s31))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12259,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s31) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s31))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12258, 12257])).
% 2.08/1.93 tff(12260,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12259, 10432, 12253, 11331, 11141, 10422])).
% 2.08/1.93 tff(12261,plain,(~trans(s99, s31)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12262,assumption,(trans(s99, s92)), introduced(assumption)).
% 2.08/1.93 tff(12263,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s92) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s92) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s92)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12264,plain,
% 2.08/1.93 (((~trans(s99, s92)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s92)) <=> (until2p23(s92) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s92)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12265,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s92)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s92) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s92))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12264])).
% 2.08/1.93 tff(12266,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s92)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s92) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s92)))),
% 2.08/1.93 inference(transitivity,[status(thm)],[12265, 12263])).
% 2.08/1.93 tff(12267,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s92)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s92))),
% 2.08/1.93 inference(quant_inst,[status(thm)],[])).
% 2.08/1.93 tff(12268,plain,
% 2.08/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s92) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s92))),
% 2.08/1.93 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 2.08/1.93 tff(12269,plain,
% 2.08/1.93 ($false),
% 2.08/1.93 inference(unit_resolution,[status(thm)],[12268, 10432, 12262, 11331, 10531, 10422])).
% 2.08/1.93 tff(12270,plain,(~trans(s99, s92)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.93 tff(12271,assumption,(trans(s99, s83)), introduced(assumption)).
% 2.08/1.93 tff(12272,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s83) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s83) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s83)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12273,plain,
% 2.08/1.93 (((~trans(s99, s83)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s83)) <=> (until2p23(s83) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s83)))),
% 2.08/1.93 inference(rewrite,[status(thm)],[])).
% 2.08/1.93 tff(12274,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s83)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s83) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s83))))),
% 2.08/1.93 inference(monotonicity,[status(thm)],[12273])).
% 2.08/1.93 tff(12275,plain,
% 2.08/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s83)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s83) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s83)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12274, 12272])).
% 2.08/1.94 tff(12276,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s83)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s83))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12277,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s83) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s83))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12276, 12275])).
% 2.08/1.94 tff(12278,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12277, 10432, 12271, 11331, 10621, 10422])).
% 2.08/1.94 tff(12279,plain,(~trans(s99, s83)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12280,assumption,(trans(s99, s87)), introduced(assumption)).
% 2.08/1.94 tff(12281,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s87) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s87) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s87)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12282,plain,
% 2.08/1.94 (((~trans(s99, s87)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s87)) <=> (until2p23(s87) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s87)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12283,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s87)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s87) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s87))))),
% 2.08/1.94 inference(monotonicity,[status(thm)],[12282])).
% 2.08/1.94 tff(12284,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s87)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s87) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s87)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12283, 12281])).
% 2.08/1.94 tff(12285,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s87)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s87))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12286,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s87) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s87))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 2.08/1.94 tff(12287,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12286, 10432, 12280, 11331, 10581, 10422])).
% 2.08/1.94 tff(12288,plain,(~trans(s99, s87)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12289,assumption,(trans(s99, s15)), introduced(assumption)).
% 2.08/1.94 tff(12290,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s15) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s15) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s15)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12291,plain,
% 2.08/1.94 (((~trans(s99, s15)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s15)) <=> (until2p23(s15) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s15)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12292,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s15)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s15) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s15))))),
% 2.08/1.94 inference(monotonicity,[status(thm)],[12291])).
% 2.08/1.94 tff(12293,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s15)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s15) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s15)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12292, 12290])).
% 2.08/1.94 tff(12294,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s15)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s15))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12295,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s15) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s15))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 2.08/1.94 tff(12296,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12295, 10432, 12289, 11331, 11301, 10422])).
% 2.08/1.94 tff(12297,plain,(~trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12298,assumption,(trans(s99, s16)), introduced(assumption)).
% 2.08/1.94 tff(12299,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s16) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s16) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s16)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12300,plain,
% 2.08/1.94 (((~trans(s99, s16)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s16)) <=> (until2p23(s16) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s16)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12301,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s16)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s16) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s16))))),
% 2.08/1.94 inference(monotonicity,[status(thm)],[12300])).
% 2.08/1.94 tff(12302,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s16)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s16) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s16)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12301, 12299])).
% 2.08/1.94 tff(12303,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s16)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s16))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12304,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s16) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s16))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 2.08/1.94 tff(12305,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12304, 10432, 12298, 11331, 11291, 10422])).
% 2.08/1.94 tff(12306,plain,(~trans(s99, s16)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12307,assumption,(trans(s99, s18)), introduced(assumption)).
% 2.08/1.94 tff(12308,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s18) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s18) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s18)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12309,plain,
% 2.08/1.94 (((~trans(s99, s18)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s18)) <=> (until2p23(s18) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s18)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12310,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s18)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s18) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s18))))),
% 2.08/1.94 inference(monotonicity,[status(thm)],[12309])).
% 2.08/1.94 tff(12311,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s18)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s18) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s18)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12310, 12308])).
% 2.08/1.94 tff(12312,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s18)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s18))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12313,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s18) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s18))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12312, 12311])).
% 2.08/1.94 tff(12314,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12313, 10432, 12307, 11331, 11271, 10422])).
% 2.08/1.94 tff(12315,plain,(~trans(s99, s18)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12316,assumption,(trans(s99, s20)), introduced(assumption)).
% 2.08/1.94 tff(12317,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s20) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s20) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s20)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12318,plain,
% 2.08/1.94 (((~trans(s99, s20)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s20)) <=> (until2p23(s20) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s20)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12319,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s20)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s20) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s20))))),
% 2.08/1.94 inference(monotonicity,[status(thm)],[12318])).
% 2.08/1.94 tff(12320,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s20)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s20) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s20)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12319, 12317])).
% 2.08/1.94 tff(12321,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s20)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s20))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12322,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s20) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s20))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 2.08/1.94 tff(12323,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12322, 10432, 12316, 11331, 11251, 10422])).
% 2.08/1.94 tff(12324,plain,(~trans(s99, s20)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12325,assumption,(trans(s99, s99)), introduced(assumption)).
% 2.08/1.94 tff(12326,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s99) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s99) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s99)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12327,plain,
% 2.08/1.94 (((~trans(s99, s99)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s99)) <=> (until2p23(s99) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s99)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12328,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s99)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s99) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s99))))),
% 2.08/1.94 inference(monotonicity,[status(thm)],[12327])).
% 2.08/1.94 tff(12329,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s99)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s99) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s99)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12328, 12326])).
% 2.08/1.94 tff(12330,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s99)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s99))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12331,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s99) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s99))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 2.08/1.94 tff(12332,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12331, 10432, 12325, 11331, 10451, 10422])).
% 2.08/1.94 tff(12333,plain,(~trans(s99, s99)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12334,plain,
% 2.08/1.94 (((~![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)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12335,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | ((~succ(s0, s1)) | until2p23(s1) | (~xuntil2p24(s0)))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12336,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p23(Y) | (~xuntil2p24(X)))) | (~succ(s0, s1)) | until2p23(s1) | (~xuntil2p24(s0))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12335, 12334])).
% 2.08/1.94 tff(12337,plain,
% 2.08/1.94 (until2p23(s1) | (~xuntil2p24(s0))),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12336, 60, 10461])).
% 2.08/1.94 tff(12338,plain,
% 2.08/1.94 (~xuntil2p24(s0)),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12337, 12126])).
% 2.08/1.94 tff(12339,plain,
% 2.08/1.94 (((~![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)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12340,plain,
% 2.08/1.94 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | (node20(s0) | xuntil2p24(s0) | (~until2p23(s0)))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12341,plain,
% 2.08/1.94 ((~![X: $i] : (node20(X) | xuntil2p24(X) | (~until2p23(X)))) | node20(s0) | xuntil2p24(s0) | (~until2p23(s0))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12340, 12339])).
% 2.08/1.94 tff(12342,plain,
% 2.08/1.94 (xuntil2p24(s0) | (~until2p23(s0))),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12341, 10446, 9058])).
% 2.08/1.94 tff(12343,plain,
% 2.08/1.94 (~until2p23(s0)),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12342, 12338])).
% 2.08/1.94 tff(12344,assumption,(trans(s99, s0)), introduced(assumption)).
% 2.08/1.94 tff(12345,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~last(s99)) | (~xuntil22(s99)) | until2p23(s0) | (~trans(s99, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s0) | (~trans(s99, s0)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12346,plain,
% 2.08/1.94 (((~trans(s99, s0)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s0)) <=> ((~last(s99)) | (~xuntil22(s99)) | until2p23(s0) | (~trans(s99, s0)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12347,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s0)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~last(s99)) | (~xuntil22(s99)) | until2p23(s0) | (~trans(s99, s0))))),
% 2.08/1.94 inference(monotonicity,[status(thm)],[12346])).
% 2.08/1.94 tff(12348,plain,
% 2.08/1.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s0)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s0) | (~trans(s99, s0)))),
% 2.08/1.94 inference(transitivity,[status(thm)],[12347, 12345])).
% 2.08/1.94 tff(12349,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s0)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s0))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12350,plain,
% 2.08/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s0) | (~trans(s99, s0))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 2.08/1.94 tff(12351,plain,
% 2.08/1.94 ($false),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12350, 10432, 12344, 11331, 10422, 12343])).
% 2.08/1.94 tff(12352,plain,(~trans(s99, s0)), inference(lemma,lemma(discharge,[]))).
% 2.08/1.94 tff(12353,plain,
% 2.08/1.94 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil22(X))) <=> (loop | (~last(X)) | (~xuntil22(X))))),
% 2.08/1.94 inference(bind,[status(th)],[])).
% 2.08/1.94 tff(12354,plain,
% 2.08/1.94 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 2.08/1.94 inference(quant_intro,[status(thm)],[12353])).
% 2.08/1.94 tff(12355,plain,
% 2.08/1.94 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12356,plain,
% 2.08/1.94 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil22(X))) <=> (loop | (~last(X)) | (~xuntil22(X))))),
% 2.08/1.94 inference(bind,[status(th)],[])).
% 2.08/1.94 tff(12357,plain,
% 2.08/1.94 (![X: $i] : ((loop | (~last(X))) | (~xuntil22(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 2.08/1.94 inference(quant_intro,[status(thm)],[12356])).
% 2.08/1.94 tff(12358,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil22(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty8')).
% 2.08/1.94 tff(12359,plain,
% 2.08/1.94 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12358, 12357])).
% 2.08/1.94 tff(12360,plain,
% 2.08/1.94 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12359, 12355])).
% 2.08/1.94 tff(12361,plain,(
% 2.08/1.94 ![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 2.08/1.94 inference(skolemize,[status(sab)],[12360])).
% 2.08/1.94 tff(12362,plain,
% 2.08/1.94 (![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12361, 12354])).
% 2.08/1.94 tff(12363,plain,
% 2.08/1.94 (((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | (loop | (~last(s99)) | (~xuntil22(s99)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | loop | (~last(s99)) | (~xuntil22(s99)))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12364,plain,
% 2.08/1.94 ((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | (loop | (~last(s99)) | (~xuntil22(s99)))),
% 2.08/1.94 inference(quant_inst,[status(thm)],[])).
% 2.08/1.94 tff(12365,plain,
% 2.08/1.94 ((~![X: $i] : (loop | (~last(X)) | (~xuntil22(X)))) | loop | (~last(s99)) | (~xuntil22(s99))),
% 2.08/1.94 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 2.08/1.94 tff(12366,plain,
% 2.08/1.94 (loop | (~xuntil22(s99))),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12365, 10432, 12362])).
% 2.08/1.94 tff(12367,plain,
% 2.08/1.94 (loop),
% 2.08/1.94 inference(unit_resolution,[status(thm)],[12366, 10422])).
% 2.08/1.94 tff(12368,plain,
% 2.08/1.94 (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99))),
% 2.08/1.94 inference(rewrite,[status(thm)],[])).
% 2.08/1.94 tff(12369,plain,
% 2.08/1.94 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)) | trans(s99, s99)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99))),
% 2.08/1.95 inference(rewrite,[status(thm)],[])).
% 2.08/1.95 tff(12370,plain,
% 2.08/1.95 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97)) | trans(s99, s98)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98))),
% 2.08/1.95 inference(rewrite,[status(thm)],[])).
% 2.08/1.95 tff(12371,plain,
% 2.08/1.95 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96)) | trans(s99, s97)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97))),
% 2.08/1.96 inference(rewrite,[status(thm)],[])).
% 2.08/1.96 tff(12372,plain,
% 2.08/1.96 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95)) | trans(s99, s96)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96))),
% 2.08/1.96 inference(rewrite,[status(thm)],[])).
% 2.08/1.96 tff(12373,plain,
% 2.08/1.96 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94)) | trans(s99, s95)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95))),
% 2.08/1.96 inference(rewrite,[status(thm)],[])).
% 2.08/1.96 tff(12374,plain,
% 2.08/1.96 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93)) | trans(s99, s94)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94))),
% 2.08/1.96 inference(rewrite,[status(thm)],[])).
% 2.08/1.96 tff(12375,plain,
% 2.08/1.96 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92)) | trans(s99, s93)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93))),
% 2.14/1.97 inference(rewrite,[status(thm)],[])).
% 2.14/1.97 tff(12376,plain,
% 2.14/1.97 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91)) | trans(s99, s92)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92))),
% 2.14/1.97 inference(rewrite,[status(thm)],[])).
% 2.14/1.97 tff(12377,plain,
% 2.14/1.97 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90)) | trans(s99, s91)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91))),
% 2.14/1.97 inference(rewrite,[status(thm)],[])).
% 2.14/1.97 tff(12378,plain,
% 2.14/1.97 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89)) | trans(s99, s90)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90))),
% 2.14/1.98 inference(rewrite,[status(thm)],[])).
% 2.14/1.98 tff(12379,plain,
% 2.14/1.98 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88)) | trans(s99, s89)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89))),
% 2.14/1.98 inference(rewrite,[status(thm)],[])).
% 2.14/1.98 tff(12380,plain,
% 2.14/1.98 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87)) | trans(s99, s88)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88))),
% 2.14/1.98 inference(rewrite,[status(thm)],[])).
% 2.14/1.98 tff(12381,plain,
% 2.14/1.98 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86)) | trans(s99, s87)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87))),
% 2.14/1.98 inference(rewrite,[status(thm)],[])).
% 2.14/1.98 tff(12382,plain,
% 2.14/1.98 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85)) | trans(s99, s86)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86))),
% 2.14/1.99 inference(rewrite,[status(thm)],[])).
% 2.14/1.99 tff(12383,plain,
% 2.14/1.99 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84)) | trans(s99, s85)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85))),
% 2.14/1.99 inference(rewrite,[status(thm)],[])).
% 2.14/1.99 tff(12384,plain,
% 2.14/1.99 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83)) | trans(s99, s84)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84))),
% 2.14/2.00 inference(rewrite,[status(thm)],[])).
% 2.14/2.00 tff(12385,plain,
% 2.14/2.00 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82)) | trans(s99, s83)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83))),
% 2.14/2.00 inference(rewrite,[status(thm)],[])).
% 2.14/2.00 tff(12386,plain,
% 2.14/2.00 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81)) | trans(s99, s82)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82))),
% 2.14/2.00 inference(rewrite,[status(thm)],[])).
% 2.14/2.00 tff(12387,plain,
% 2.14/2.00 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80)) | trans(s99, s81)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81))),
% 2.14/2.00 inference(rewrite,[status(thm)],[])).
% 2.14/2.00 tff(12388,plain,
% 2.14/2.00 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79)) | trans(s99, s80)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80))),
% 2.14/2.00 inference(rewrite,[status(thm)],[])).
% 2.14/2.00 tff(12389,plain,
% 2.14/2.00 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78)) | trans(s99, s79)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79))),
% 2.14/2.01 inference(rewrite,[status(thm)],[])).
% 2.14/2.01 tff(12390,plain,
% 2.14/2.01 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77)) | trans(s99, s78)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78))),
% 2.14/2.01 inference(rewrite,[status(thm)],[])).
% 2.14/2.01 tff(12391,plain,
% 2.14/2.01 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76)) | trans(s99, s77)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77))),
% 2.14/2.01 inference(rewrite,[status(thm)],[])).
% 2.14/2.01 tff(12392,plain,
% 2.14/2.01 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75)) | trans(s99, s76)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76))),
% 2.14/2.01 inference(rewrite,[status(thm)],[])).
% 2.14/2.01 tff(12393,plain,
% 2.14/2.01 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74)) | trans(s99, s75)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75))),
% 2.14/2.02 inference(rewrite,[status(thm)],[])).
% 2.14/2.02 tff(12394,plain,
% 2.14/2.02 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73)) | trans(s99, s74)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74))),
% 2.14/2.02 inference(rewrite,[status(thm)],[])).
% 2.14/2.02 tff(12395,plain,
% 2.14/2.02 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72)) | trans(s99, s73)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73))),
% 2.14/2.02 inference(rewrite,[status(thm)],[])).
% 2.14/2.02 tff(12396,plain,
% 2.14/2.02 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71)) | trans(s99, s72)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72))),
% 2.14/2.02 inference(rewrite,[status(thm)],[])).
% 2.14/2.02 tff(12397,plain,
% 2.14/2.02 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70)) | trans(s99, s71)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71))),
% 2.14/2.03 inference(rewrite,[status(thm)],[])).
% 2.14/2.03 tff(12398,plain,
% 2.14/2.03 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69)) | trans(s99, s70)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70))),
% 2.14/2.03 inference(rewrite,[status(thm)],[])).
% 2.14/2.03 tff(12399,plain,
% 2.14/2.03 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68)) | trans(s99, s69)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69))),
% 2.14/2.03 inference(rewrite,[status(thm)],[])).
% 2.14/2.03 tff(12400,plain,
% 2.14/2.03 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67)) | trans(s99, s68)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68))),
% 2.14/2.03 inference(rewrite,[status(thm)],[])).
% 2.14/2.03 tff(12401,plain,
% 2.14/2.03 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66)) | trans(s99, s67)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67))),
% 2.14/2.03 inference(rewrite,[status(thm)],[])).
% 2.14/2.03 tff(12402,plain,
% 2.14/2.03 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65)) | trans(s99, s66)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66))),
% 2.14/2.04 inference(rewrite,[status(thm)],[])).
% 2.14/2.04 tff(12403,plain,
% 2.14/2.04 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64)) | trans(s99, s65)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65))),
% 2.14/2.04 inference(rewrite,[status(thm)],[])).
% 2.14/2.04 tff(12404,plain,
% 2.14/2.04 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63)) | trans(s99, s64)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64))),
% 2.14/2.04 inference(rewrite,[status(thm)],[])).
% 2.14/2.04 tff(12405,plain,
% 2.14/2.04 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62)) | trans(s99, s63)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63))),
% 2.14/2.05 inference(rewrite,[status(thm)],[])).
% 2.14/2.05 tff(12406,plain,
% 2.14/2.05 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61)) | trans(s99, s62)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62))),
% 2.14/2.05 inference(rewrite,[status(thm)],[])).
% 2.14/2.05 tff(12407,plain,
% 2.14/2.05 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60)) | trans(s99, s61)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61))),
% 2.14/2.05 inference(rewrite,[status(thm)],[])).
% 2.14/2.05 tff(12408,plain,
% 2.14/2.05 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59)) | trans(s99, s60)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60))),
% 2.14/2.05 inference(rewrite,[status(thm)],[])).
% 2.14/2.05 tff(12409,plain,
% 2.14/2.05 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58)) | trans(s99, s59)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59))),
% 2.22/2.05 inference(rewrite,[status(thm)],[])).
% 2.22/2.05 tff(12410,plain,
% 2.22/2.05 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57)) | trans(s99, s58)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58))),
% 2.22/2.05 inference(rewrite,[status(thm)],[])).
% 2.22/2.05 tff(12411,plain,
% 2.22/2.05 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56)) | trans(s99, s57)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57))),
% 2.22/2.06 inference(rewrite,[status(thm)],[])).
% 2.22/2.06 tff(12412,plain,
% 2.22/2.06 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55)) | trans(s99, s56)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56))),
% 2.22/2.06 inference(rewrite,[status(thm)],[])).
% 2.22/2.06 tff(12413,plain,
% 2.22/2.06 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54)) | trans(s99, s55)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55))),
% 2.22/2.06 inference(rewrite,[status(thm)],[])).
% 2.22/2.06 tff(12414,plain,
% 2.22/2.06 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53)) | trans(s99, s54)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54))),
% 2.22/2.06 inference(rewrite,[status(thm)],[])).
% 2.22/2.06 tff(12415,plain,
% 2.22/2.06 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52)) | trans(s99, s53)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53))),
% 2.22/2.06 inference(rewrite,[status(thm)],[])).
% 2.22/2.06 tff(12416,plain,
% 2.22/2.06 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51)) | trans(s99, s52)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52))),
% 2.22/2.06 inference(rewrite,[status(thm)],[])).
% 2.22/2.06 tff(12417,plain,
% 2.22/2.06 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50)) | trans(s99, s51)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51))),
% 2.22/2.07 inference(rewrite,[status(thm)],[])).
% 2.22/2.07 tff(12418,plain,
% 2.22/2.07 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49)) | trans(s99, s50)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50))),
% 2.22/2.07 inference(rewrite,[status(thm)],[])).
% 2.22/2.07 tff(12419,plain,
% 2.22/2.07 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48)) | trans(s99, s49)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49))),
% 2.22/2.07 inference(rewrite,[status(thm)],[])).
% 2.22/2.07 tff(12420,plain,
% 2.22/2.07 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47)) | trans(s99, s48)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48))),
% 2.22/2.07 inference(rewrite,[status(thm)],[])).
% 2.22/2.07 tff(12421,plain,
% 2.22/2.07 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46)) | trans(s99, s47)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47))),
% 2.22/2.08 inference(rewrite,[status(thm)],[])).
% 2.22/2.08 tff(12422,plain,
% 2.22/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45)) | trans(s99, s46)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46))),
% 2.22/2.08 inference(rewrite,[status(thm)],[])).
% 2.22/2.08 tff(12423,plain,
% 2.22/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44)) | trans(s99, s45)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45))),
% 2.22/2.08 inference(rewrite,[status(thm)],[])).
% 2.22/2.08 tff(12424,plain,
% 2.22/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43)) | trans(s99, s44)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44))),
% 2.22/2.08 inference(rewrite,[status(thm)],[])).
% 2.22/2.08 tff(12425,plain,
% 2.22/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42)) | trans(s99, s43)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43))),
% 2.22/2.08 inference(rewrite,[status(thm)],[])).
% 2.22/2.08 tff(12426,plain,
% 2.22/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41)) | trans(s99, s42)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42))),
% 2.25/2.08 inference(rewrite,[status(thm)],[])).
% 2.25/2.08 tff(12427,plain,
% 2.25/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40)) | trans(s99, s41)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41))),
% 2.25/2.08 inference(rewrite,[status(thm)],[])).
% 2.25/2.08 tff(12428,plain,
% 2.25/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39)) | trans(s99, s40)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40))),
% 2.25/2.08 inference(rewrite,[status(thm)],[])).
% 2.25/2.08 tff(12429,plain,
% 2.25/2.08 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38)) | trans(s99, s39)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12430,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37)) | trans(s99, s38)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12431,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36)) | trans(s99, s37)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12432,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35)) | trans(s99, s36)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12433,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34)) | trans(s99, s35)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12434,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33)) | trans(s99, s34)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12435,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32)) | trans(s99, s33)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12436,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31)) | trans(s99, s32)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12437,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30)) | trans(s99, s31)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31))),
% 2.25/2.09 inference(rewrite,[status(thm)],[])).
% 2.25/2.09 tff(12438,plain,
% 2.25/2.09 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29)) | trans(s99, s30)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12439,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28)) | trans(s99, s29)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12440,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27)) | trans(s99, s28)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12441,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26)) | trans(s99, s27)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12442,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25)) | trans(s99, s26)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12443,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24)) | trans(s99, s25)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12444,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23)) | trans(s99, s24)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12445,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22)) | trans(s99, s23)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12446,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21)) | trans(s99, s22)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12447,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20)) | trans(s99, s21)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12448,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19)) | trans(s99, s20)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12449,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18)) | trans(s99, s19)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19))),
% 2.25/2.10 inference(rewrite,[status(thm)],[])).
% 2.25/2.10 tff(12450,plain,
% 2.25/2.10 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17)) | trans(s99, s18)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12451,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16)) | trans(s99, s17)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12452,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15)) | trans(s99, s16)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12453,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14)) | trans(s99, s15)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12454,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13)) | trans(s99, s14)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12455,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12)) | trans(s99, s13)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12456,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11)) | trans(s99, s12)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12457,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10)) | trans(s99, s11)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12458,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9)) | trans(s99, s10)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12459,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8)) | trans(s99, s9)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12460,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7)) | trans(s99, s8)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12461,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6)) | trans(s99, s7)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12462,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5)) | trans(s99, s6)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12463,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4)) | trans(s99, s5)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12464,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3)) | trans(s99, s4)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12465,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2)) | trans(s99, s3)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12466,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0) | trans(s99, s1)) | trans(s99, s2)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12467,plain,
% 2.25/2.11 ((((~loop) | trans(s99, s0)) | trans(s99, s1)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1))),
% 2.25/2.11 inference(rewrite,[status(thm)],[])).
% 2.25/2.11 tff(12468,plain,
% 2.25/2.11 (((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1)) | trans(s99, s2))),
% 2.25/2.11 inference(monotonicity,[status(thm)],[12467])).
% 2.25/2.11 tff(12469,plain,
% 2.25/2.11 (((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2))),
% 2.25/2.11 inference(transitivity,[status(thm)],[12468, 12466])).
% 2.25/2.11 tff(12470,plain,
% 2.25/2.11 ((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2)) | trans(s99, s3))),
% 2.25/2.11 inference(monotonicity,[status(thm)],[12469])).
% 2.25/2.11 tff(12471,plain,
% 2.25/2.11 ((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3))),
% 2.25/2.11 inference(transitivity,[status(thm)],[12470, 12465])).
% 2.25/2.11 tff(12472,plain,
% 2.25/2.11 (((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3)) | trans(s99, s4))),
% 2.25/2.11 inference(monotonicity,[status(thm)],[12471])).
% 2.25/2.11 tff(12473,plain,
% 2.25/2.11 (((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4))),
% 2.25/2.11 inference(transitivity,[status(thm)],[12472, 12464])).
% 2.25/2.11 tff(12474,plain,
% 2.25/2.11 ((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4)) | trans(s99, s5))),
% 2.25/2.11 inference(monotonicity,[status(thm)],[12473])).
% 2.25/2.11 tff(12475,plain,
% 2.25/2.11 ((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5))),
% 2.25/2.11 inference(transitivity,[status(thm)],[12474, 12463])).
% 2.25/2.11 tff(12476,plain,
% 2.25/2.11 (((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5)) | trans(s99, s6))),
% 2.25/2.11 inference(monotonicity,[status(thm)],[12475])).
% 2.25/2.11 tff(12477,plain,
% 2.25/2.11 (((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6))),
% 2.25/2.11 inference(transitivity,[status(thm)],[12476, 12462])).
% 2.25/2.11 tff(12478,plain,
% 2.25/2.11 ((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6)) | trans(s99, s7))),
% 2.25/2.11 inference(monotonicity,[status(thm)],[12477])).
% 2.25/2.11 tff(12479,plain,
% 2.25/2.11 ((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7))),
% 2.25/2.11 inference(transitivity,[status(thm)],[12478, 12461])).
% 2.25/2.11 tff(12480,plain,
% 2.25/2.11 (((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7)) | trans(s99, s8))),
% 2.25/2.11 inference(monotonicity,[status(thm)],[12479])).
% 2.25/2.11 tff(12481,plain,
% 2.25/2.11 (((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8))),
% 2.25/2.11 inference(transitivity,[status(thm)],[12480, 12460])).
% 2.25/2.11 tff(12482,plain,
% 2.25/2.11 ((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8)) | trans(s99, s9))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12481])).
% 2.25/2.12 tff(12483,plain,
% 2.25/2.12 ((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12482, 12459])).
% 2.25/2.12 tff(12484,plain,
% 2.25/2.12 (((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9)) | trans(s99, s10))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12483])).
% 2.25/2.12 tff(12485,plain,
% 2.25/2.12 (((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12484, 12458])).
% 2.25/2.12 tff(12486,plain,
% 2.25/2.12 ((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10)) | trans(s99, s11))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12485])).
% 2.25/2.12 tff(12487,plain,
% 2.25/2.12 ((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12486, 12457])).
% 2.25/2.12 tff(12488,plain,
% 2.25/2.12 (((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11)) | trans(s99, s12))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12487])).
% 2.25/2.12 tff(12489,plain,
% 2.25/2.12 (((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12488, 12456])).
% 2.25/2.12 tff(12490,plain,
% 2.25/2.12 ((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12)) | trans(s99, s13))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12489])).
% 2.25/2.12 tff(12491,plain,
% 2.25/2.12 ((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12490, 12455])).
% 2.25/2.12 tff(12492,plain,
% 2.25/2.12 (((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13)) | trans(s99, s14))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12491])).
% 2.25/2.12 tff(12493,plain,
% 2.25/2.12 (((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12492, 12454])).
% 2.25/2.12 tff(12494,plain,
% 2.25/2.12 ((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14)) | trans(s99, s15))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12493])).
% 2.25/2.12 tff(12495,plain,
% 2.25/2.12 ((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12494, 12453])).
% 2.25/2.12 tff(12496,plain,
% 2.25/2.12 (((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15)) | trans(s99, s16))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12495])).
% 2.25/2.12 tff(12497,plain,
% 2.25/2.12 (((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12496, 12452])).
% 2.25/2.12 tff(12498,plain,
% 2.25/2.12 ((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16)) | trans(s99, s17))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12497])).
% 2.25/2.12 tff(12499,plain,
% 2.25/2.12 ((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17))),
% 2.25/2.12 inference(transitivity,[status(thm)],[12498, 12451])).
% 2.25/2.12 tff(12500,plain,
% 2.25/2.12 (((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17)) | trans(s99, s18))),
% 2.25/2.12 inference(monotonicity,[status(thm)],[12499])).
% 2.25/2.12 tff(12501,plain,
% 2.25/2.12 (((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18))),
% 2.30/2.13 inference(transitivity,[status(thm)],[12500, 12450])).
% 2.30/2.13 tff(12502,plain,
% 2.30/2.13 ((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18)) | trans(s99, s19))),
% 2.30/2.13 inference(monotonicity,[status(thm)],[12501])).
% 2.30/2.13 tff(12503,plain,
% 2.30/2.13 ((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19))),
% 2.30/2.13 inference(transitivity,[status(thm)],[12502, 12449])).
% 2.30/2.13 tff(12504,plain,
% 2.30/2.13 (((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19)) | trans(s99, s20))),
% 2.30/2.13 inference(monotonicity,[status(thm)],[12503])).
% 2.30/2.13 tff(12505,plain,
% 2.30/2.13 (((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20))),
% 2.30/2.13 inference(transitivity,[status(thm)],[12504, 12448])).
% 2.30/2.13 tff(12506,plain,
% 2.30/2.13 ((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20)) | trans(s99, s21))),
% 2.30/2.13 inference(monotonicity,[status(thm)],[12505])).
% 2.30/2.13 tff(12507,plain,
% 2.30/2.13 ((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21))),
% 2.30/2.13 inference(transitivity,[status(thm)],[12506, 12447])).
% 2.30/2.13 tff(12508,plain,
% 2.30/2.13 (((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21)) | trans(s99, s22))),
% 2.30/2.13 inference(monotonicity,[status(thm)],[12507])).
% 2.30/2.13 tff(12509,plain,
% 2.30/2.13 (((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22))),
% 2.30/2.13 inference(transitivity,[status(thm)],[12508, 12446])).
% 2.30/2.13 tff(12510,plain,
% 2.30/2.13 ((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22)) | trans(s99, s23))),
% 2.30/2.13 inference(monotonicity,[status(thm)],[12509])).
% 2.30/2.13 tff(12511,plain,
% 2.30/2.13 ((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23))),
% 2.30/2.13 inference(transitivity,[status(thm)],[12510, 12445])).
% 2.30/2.13 tff(12512,plain,
% 2.30/2.13 (((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23)) | trans(s99, s24))),
% 2.30/2.13 inference(monotonicity,[status(thm)],[12511])).
% 2.30/2.13 tff(12513,plain,
% 2.30/2.13 (((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24))),
% 2.30/2.13 inference(transitivity,[status(thm)],[12512, 12444])).
% 2.30/2.13 tff(12514,plain,
% 2.30/2.13 ((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24)) | trans(s99, s25))),
% 2.30/2.14 inference(monotonicity,[status(thm)],[12513])).
% 2.30/2.14 tff(12515,plain,
% 2.30/2.14 ((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25))),
% 2.30/2.14 inference(transitivity,[status(thm)],[12514, 12443])).
% 2.30/2.14 tff(12516,plain,
% 2.30/2.14 (((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25)) | trans(s99, s26))),
% 2.30/2.14 inference(monotonicity,[status(thm)],[12515])).
% 2.30/2.14 tff(12517,plain,
% 2.30/2.14 (((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26))),
% 2.30/2.14 inference(transitivity,[status(thm)],[12516, 12442])).
% 2.30/2.14 tff(12518,plain,
% 2.30/2.14 ((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26)) | trans(s99, s27))),
% 2.30/2.14 inference(monotonicity,[status(thm)],[12517])).
% 2.30/2.14 tff(12519,plain,
% 2.30/2.14 ((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27))),
% 2.30/2.14 inference(transitivity,[status(thm)],[12518, 12441])).
% 2.30/2.14 tff(12520,plain,
% 2.30/2.14 (((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27)) | trans(s99, s28))),
% 2.30/2.14 inference(monotonicity,[status(thm)],[12519])).
% 2.30/2.14 tff(12521,plain,
% 2.30/2.14 (((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28))),
% 2.30/2.14 inference(transitivity,[status(thm)],[12520, 12440])).
% 2.30/2.14 tff(12522,plain,
% 2.31/2.14 ((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28)) | trans(s99, s29))),
% 2.31/2.14 inference(monotonicity,[status(thm)],[12521])).
% 2.31/2.14 tff(12523,plain,
% 2.31/2.14 ((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29))),
% 2.31/2.14 inference(transitivity,[status(thm)],[12522, 12439])).
% 2.31/2.14 tff(12524,plain,
% 2.31/2.14 (((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29)) | trans(s99, s30))),
% 2.31/2.14 inference(monotonicity,[status(thm)],[12523])).
% 2.31/2.14 tff(12525,plain,
% 2.31/2.14 (((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30))),
% 2.31/2.15 inference(transitivity,[status(thm)],[12524, 12438])).
% 2.31/2.15 tff(12526,plain,
% 2.31/2.15 ((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30)) | trans(s99, s31))),
% 2.31/2.15 inference(monotonicity,[status(thm)],[12525])).
% 2.31/2.15 tff(12527,plain,
% 2.31/2.15 ((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31))),
% 2.31/2.15 inference(transitivity,[status(thm)],[12526, 12437])).
% 2.31/2.15 tff(12528,plain,
% 2.31/2.15 (((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31)) | trans(s99, s32))),
% 2.31/2.15 inference(monotonicity,[status(thm)],[12527])).
% 2.31/2.15 tff(12529,plain,
% 2.31/2.15 (((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32))),
% 2.31/2.15 inference(transitivity,[status(thm)],[12528, 12436])).
% 2.31/2.15 tff(12530,plain,
% 2.31/2.15 ((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32)) | trans(s99, s33))),
% 2.31/2.15 inference(monotonicity,[status(thm)],[12529])).
% 2.31/2.15 tff(12531,plain,
% 2.31/2.15 ((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33))),
% 2.31/2.15 inference(transitivity,[status(thm)],[12530, 12435])).
% 2.31/2.15 tff(12532,plain,
% 2.31/2.15 (((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33)) | trans(s99, s34))),
% 2.31/2.15 inference(monotonicity,[status(thm)],[12531])).
% 2.31/2.15 tff(12533,plain,
% 2.31/2.15 (((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34))),
% 2.31/2.15 inference(transitivity,[status(thm)],[12532, 12434])).
% 2.31/2.15 tff(12534,plain,
% 2.31/2.15 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34)) | trans(s99, s35))),
% 2.31/2.16 inference(monotonicity,[status(thm)],[12533])).
% 2.31/2.16 tff(12535,plain,
% 2.31/2.16 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35))),
% 2.31/2.16 inference(transitivity,[status(thm)],[12534, 12433])).
% 2.31/2.16 tff(12536,plain,
% 2.31/2.16 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35)) | trans(s99, s36))),
% 2.31/2.16 inference(monotonicity,[status(thm)],[12535])).
% 2.31/2.16 tff(12537,plain,
% 2.31/2.16 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36))),
% 2.31/2.16 inference(transitivity,[status(thm)],[12536, 12432])).
% 2.31/2.16 tff(12538,plain,
% 2.31/2.16 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36)) | trans(s99, s37))),
% 2.31/2.16 inference(monotonicity,[status(thm)],[12537])).
% 2.31/2.16 tff(12539,plain,
% 2.31/2.16 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37))),
% 2.31/2.16 inference(transitivity,[status(thm)],[12538, 12431])).
% 2.31/2.16 tff(12540,plain,
% 2.31/2.16 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37)) | trans(s99, s38))),
% 2.31/2.16 inference(monotonicity,[status(thm)],[12539])).
% 2.31/2.16 tff(12541,plain,
% 2.31/2.16 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38))),
% 2.31/2.16 inference(transitivity,[status(thm)],[12540, 12430])).
% 2.31/2.16 tff(12542,plain,
% 2.31/2.16 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38)) | trans(s99, s39))),
% 2.31/2.17 inference(monotonicity,[status(thm)],[12541])).
% 2.31/2.17 tff(12543,plain,
% 2.31/2.17 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39))),
% 2.31/2.17 inference(transitivity,[status(thm)],[12542, 12429])).
% 2.31/2.17 tff(12544,plain,
% 2.31/2.17 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39)) | trans(s99, s40))),
% 2.31/2.17 inference(monotonicity,[status(thm)],[12543])).
% 2.31/2.17 tff(12545,plain,
% 2.31/2.17 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40))),
% 2.31/2.17 inference(transitivity,[status(thm)],[12544, 12428])).
% 2.31/2.17 tff(12546,plain,
% 2.31/2.17 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40)) | trans(s99, s41))),
% 2.31/2.17 inference(monotonicity,[status(thm)],[12545])).
% 2.31/2.17 tff(12547,plain,
% 2.31/2.17 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41))),
% 2.31/2.17 inference(transitivity,[status(thm)],[12546, 12427])).
% 2.31/2.17 tff(12548,plain,
% 2.31/2.17 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41)) | trans(s99, s42))),
% 2.31/2.17 inference(monotonicity,[status(thm)],[12547])).
% 2.31/2.17 tff(12549,plain,
% 2.31/2.17 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42))),
% 2.31/2.18 inference(transitivity,[status(thm)],[12548, 12426])).
% 2.31/2.18 tff(12550,plain,
% 2.31/2.18 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42)) | trans(s99, s43))),
% 2.31/2.18 inference(monotonicity,[status(thm)],[12549])).
% 2.31/2.18 tff(12551,plain,
% 2.31/2.18 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43))),
% 2.31/2.18 inference(transitivity,[status(thm)],[12550, 12425])).
% 2.31/2.18 tff(12552,plain,
% 2.31/2.18 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43)) | trans(s99, s44))),
% 2.31/2.18 inference(monotonicity,[status(thm)],[12551])).
% 2.31/2.18 tff(12553,plain,
% 2.31/2.18 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44))),
% 2.31/2.18 inference(transitivity,[status(thm)],[12552, 12424])).
% 2.31/2.18 tff(12554,plain,
% 2.31/2.18 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44)) | trans(s99, s45))),
% 2.31/2.18 inference(monotonicity,[status(thm)],[12553])).
% 2.31/2.18 tff(12555,plain,
% 2.31/2.18 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45))),
% 2.31/2.18 inference(transitivity,[status(thm)],[12554, 12423])).
% 2.31/2.18 tff(12556,plain,
% 2.31/2.18 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45)) | trans(s99, s46))),
% 2.31/2.19 inference(monotonicity,[status(thm)],[12555])).
% 2.31/2.19 tff(12557,plain,
% 2.31/2.19 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46))),
% 2.31/2.19 inference(transitivity,[status(thm)],[12556, 12422])).
% 2.31/2.19 tff(12558,plain,
% 2.31/2.19 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46)) | trans(s99, s47))),
% 2.31/2.19 inference(monotonicity,[status(thm)],[12557])).
% 2.31/2.19 tff(12559,plain,
% 2.31/2.19 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47))),
% 2.31/2.19 inference(transitivity,[status(thm)],[12558, 12421])).
% 2.31/2.19 tff(12560,plain,
% 2.31/2.19 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47)) | trans(s99, s48))),
% 2.31/2.19 inference(monotonicity,[status(thm)],[12559])).
% 2.31/2.19 tff(12561,plain,
% 2.31/2.19 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48))),
% 2.31/2.20 inference(transitivity,[status(thm)],[12560, 12420])).
% 2.31/2.20 tff(12562,plain,
% 2.31/2.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48)) | trans(s99, s49))),
% 2.31/2.20 inference(monotonicity,[status(thm)],[12561])).
% 2.31/2.20 tff(12563,plain,
% 2.31/2.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49))),
% 2.31/2.20 inference(transitivity,[status(thm)],[12562, 12419])).
% 2.31/2.20 tff(12564,plain,
% 2.31/2.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49)) | trans(s99, s50))),
% 2.31/2.20 inference(monotonicity,[status(thm)],[12563])).
% 2.31/2.20 tff(12565,plain,
% 2.31/2.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50))),
% 2.31/2.20 inference(transitivity,[status(thm)],[12564, 12418])).
% 2.31/2.20 tff(12566,plain,
% 2.31/2.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50)) | trans(s99, s51))),
% 2.31/2.20 inference(monotonicity,[status(thm)],[12565])).
% 2.31/2.20 tff(12567,plain,
% 2.31/2.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51))),
% 2.31/2.21 inference(transitivity,[status(thm)],[12566, 12417])).
% 2.31/2.21 tff(12568,plain,
% 2.31/2.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51)) | trans(s99, s52))),
% 2.31/2.21 inference(monotonicity,[status(thm)],[12567])).
% 2.31/2.21 tff(12569,plain,
% 2.31/2.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52))),
% 2.31/2.21 inference(transitivity,[status(thm)],[12568, 12416])).
% 2.31/2.21 tff(12570,plain,
% 2.31/2.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52)) | trans(s99, s53))),
% 2.31/2.21 inference(monotonicity,[status(thm)],[12569])).
% 2.31/2.21 tff(12571,plain,
% 2.31/2.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53))),
% 2.38/2.21 inference(transitivity,[status(thm)],[12570, 12415])).
% 2.38/2.21 tff(12572,plain,
% 2.38/2.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53)) | trans(s99, s54))),
% 2.38/2.22 inference(monotonicity,[status(thm)],[12571])).
% 2.38/2.22 tff(12573,plain,
% 2.38/2.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54))),
% 2.38/2.22 inference(transitivity,[status(thm)],[12572, 12414])).
% 2.38/2.22 tff(12574,plain,
% 2.38/2.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54)) | trans(s99, s55))),
% 2.38/2.22 inference(monotonicity,[status(thm)],[12573])).
% 2.38/2.22 tff(12575,plain,
% 2.38/2.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55))),
% 2.38/2.22 inference(transitivity,[status(thm)],[12574, 12413])).
% 2.38/2.22 tff(12576,plain,
% 2.38/2.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55)) | trans(s99, s56))),
% 2.38/2.22 inference(monotonicity,[status(thm)],[12575])).
% 2.38/2.22 tff(12577,plain,
% 2.38/2.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56))),
% 2.38/2.22 inference(transitivity,[status(thm)],[12576, 12412])).
% 2.38/2.22 tff(12578,plain,
% 2.38/2.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56)) | trans(s99, s57))),
% 2.38/2.23 inference(monotonicity,[status(thm)],[12577])).
% 2.38/2.23 tff(12579,plain,
% 2.38/2.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57))),
% 2.38/2.23 inference(transitivity,[status(thm)],[12578, 12411])).
% 2.38/2.23 tff(12580,plain,
% 2.38/2.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57)) | trans(s99, s58))),
% 2.38/2.23 inference(monotonicity,[status(thm)],[12579])).
% 2.38/2.23 tff(12581,plain,
% 2.38/2.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58))),
% 2.38/2.23 inference(transitivity,[status(thm)],[12580, 12410])).
% 2.38/2.23 tff(12582,plain,
% 2.38/2.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58)) | trans(s99, s59))),
% 2.38/2.23 inference(monotonicity,[status(thm)],[12581])).
% 2.38/2.23 tff(12583,plain,
% 2.38/2.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59))),
% 2.38/2.24 inference(transitivity,[status(thm)],[12582, 12409])).
% 2.38/2.24 tff(12584,plain,
% 2.38/2.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59)) | trans(s99, s60))),
% 2.38/2.24 inference(monotonicity,[status(thm)],[12583])).
% 2.38/2.24 tff(12585,plain,
% 2.38/2.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60))),
% 2.38/2.24 inference(transitivity,[status(thm)],[12584, 12408])).
% 2.38/2.24 tff(12586,plain,
% 2.38/2.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60)) | trans(s99, s61))),
% 2.38/2.24 inference(monotonicity,[status(thm)],[12585])).
% 2.38/2.24 tff(12587,plain,
% 2.38/2.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61))),
% 2.38/2.24 inference(transitivity,[status(thm)],[12586, 12407])).
% 2.38/2.24 tff(12588,plain,
% 2.38/2.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61)) | trans(s99, s62))),
% 2.38/2.25 inference(monotonicity,[status(thm)],[12587])).
% 2.38/2.25 tff(12589,plain,
% 2.38/2.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62))),
% 2.38/2.25 inference(transitivity,[status(thm)],[12588, 12406])).
% 2.38/2.25 tff(12590,plain,
% 2.38/2.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62)) | trans(s99, s63))),
% 2.38/2.25 inference(monotonicity,[status(thm)],[12589])).
% 2.38/2.25 tff(12591,plain,
% 2.38/2.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63))),
% 2.38/2.25 inference(transitivity,[status(thm)],[12590, 12405])).
% 2.38/2.25 tff(12592,plain,
% 2.38/2.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63)) | trans(s99, s64))),
% 2.38/2.25 inference(monotonicity,[status(thm)],[12591])).
% 2.38/2.25 tff(12593,plain,
% 2.38/2.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64))),
% 2.38/2.26 inference(transitivity,[status(thm)],[12592, 12404])).
% 2.38/2.26 tff(12594,plain,
% 2.38/2.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64)) | trans(s99, s65))),
% 2.38/2.26 inference(monotonicity,[status(thm)],[12593])).
% 2.38/2.26 tff(12595,plain,
% 2.38/2.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65))),
% 2.38/2.26 inference(transitivity,[status(thm)],[12594, 12403])).
% 2.38/2.26 tff(12596,plain,
% 2.38/2.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65)) | trans(s99, s66))),
% 2.38/2.27 inference(monotonicity,[status(thm)],[12595])).
% 2.38/2.27 tff(12597,plain,
% 2.38/2.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66))),
% 2.38/2.27 inference(transitivity,[status(thm)],[12596, 12402])).
% 2.38/2.27 tff(12598,plain,
% 2.38/2.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66)) | trans(s99, s67))),
% 2.38/2.27 inference(monotonicity,[status(thm)],[12597])).
% 2.38/2.27 tff(12599,plain,
% 2.38/2.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67))),
% 2.38/2.27 inference(transitivity,[status(thm)],[12598, 12401])).
% 2.38/2.27 tff(12600,plain,
% 2.38/2.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67)) | trans(s99, s68))),
% 2.38/2.27 inference(monotonicity,[status(thm)],[12599])).
% 2.38/2.27 tff(12601,plain,
% 2.38/2.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68))),
% 2.38/2.28 inference(transitivity,[status(thm)],[12600, 12400])).
% 2.38/2.28 tff(12602,plain,
% 2.38/2.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68)) | trans(s99, s69))),
% 2.38/2.28 inference(monotonicity,[status(thm)],[12601])).
% 2.38/2.28 tff(12603,plain,
% 2.38/2.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69))),
% 2.38/2.28 inference(transitivity,[status(thm)],[12602, 12399])).
% 2.38/2.28 tff(12604,plain,
% 2.38/2.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69)) | trans(s99, s70))),
% 2.45/2.28 inference(monotonicity,[status(thm)],[12603])).
% 2.45/2.28 tff(12605,plain,
% 2.45/2.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70))),
% 2.45/2.29 inference(transitivity,[status(thm)],[12604, 12398])).
% 2.45/2.29 tff(12606,plain,
% 2.45/2.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70)) | trans(s99, s71))),
% 2.45/2.29 inference(monotonicity,[status(thm)],[12605])).
% 2.45/2.29 tff(12607,plain,
% 2.45/2.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71))),
% 2.45/2.29 inference(transitivity,[status(thm)],[12606, 12397])).
% 2.45/2.29 tff(12608,plain,
% 2.45/2.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71)) | trans(s99, s72))),
% 2.45/2.29 inference(monotonicity,[status(thm)],[12607])).
% 2.45/2.29 tff(12609,plain,
% 2.45/2.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72))),
% 2.45/2.29 inference(transitivity,[status(thm)],[12608, 12396])).
% 2.45/2.29 tff(12610,plain,
% 2.45/2.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72)) | trans(s99, s73))),
% 2.45/2.30 inference(monotonicity,[status(thm)],[12609])).
% 2.45/2.30 tff(12611,plain,
% 2.45/2.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73))),
% 2.45/2.30 inference(transitivity,[status(thm)],[12610, 12395])).
% 2.45/2.30 tff(12612,plain,
% 2.45/2.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73)) | trans(s99, s74))),
% 2.45/2.30 inference(monotonicity,[status(thm)],[12611])).
% 2.45/2.30 tff(12613,plain,
% 2.45/2.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74))),
% 2.45/2.30 inference(transitivity,[status(thm)],[12612, 12394])).
% 2.45/2.30 tff(12614,plain,
% 2.45/2.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74)) | trans(s99, s75))),
% 2.45/2.31 inference(monotonicity,[status(thm)],[12613])).
% 2.45/2.31 tff(12615,plain,
% 2.45/2.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75))),
% 2.45/2.31 inference(transitivity,[status(thm)],[12614, 12393])).
% 2.45/2.31 tff(12616,plain,
% 2.45/2.31 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75)) | trans(s99, s76))),
% 2.45/2.31 inference(monotonicity,[status(thm)],[12615])).
% 2.45/2.31 tff(12617,plain,
% 2.45/2.31 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76))),
% 2.45/2.31 inference(transitivity,[status(thm)],[12616, 12392])).
% 2.45/2.31 tff(12618,plain,
% 2.45/2.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76)) | trans(s99, s77))),
% 2.45/2.32 inference(monotonicity,[status(thm)],[12617])).
% 2.45/2.32 tff(12619,plain,
% 2.45/2.32 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77))),
% 2.45/2.32 inference(transitivity,[status(thm)],[12618, 12391])).
% 2.45/2.32 tff(12620,plain,
% 2.45/2.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77)) | trans(s99, s78))),
% 2.45/2.32 inference(monotonicity,[status(thm)],[12619])).
% 2.45/2.32 tff(12621,plain,
% 2.45/2.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78))),
% 2.45/2.32 inference(transitivity,[status(thm)],[12620, 12390])).
% 2.45/2.32 tff(12622,plain,
% 2.45/2.32 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78)) | trans(s99, s79))),
% 2.45/2.33 inference(monotonicity,[status(thm)],[12621])).
% 2.45/2.33 tff(12623,plain,
% 2.45/2.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79))),
% 2.45/2.33 inference(transitivity,[status(thm)],[12622, 12389])).
% 2.45/2.33 tff(12624,plain,
% 2.45/2.33 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79)) | trans(s99, s80))),
% 2.45/2.33 inference(monotonicity,[status(thm)],[12623])).
% 2.45/2.33 tff(12625,plain,
% 2.45/2.33 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80))),
% 2.45/2.33 inference(transitivity,[status(thm)],[12624, 12388])).
% 2.45/2.33 tff(12626,plain,
% 2.45/2.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80)) | trans(s99, s81))),
% 2.45/2.34 inference(monotonicity,[status(thm)],[12625])).
% 2.45/2.34 tff(12627,plain,
% 2.45/2.34 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81))),
% 2.45/2.34 inference(transitivity,[status(thm)],[12626, 12387])).
% 2.45/2.34 tff(12628,plain,
% 2.45/2.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81)) | trans(s99, s82))),
% 2.45/2.34 inference(monotonicity,[status(thm)],[12627])).
% 2.45/2.34 tff(12629,plain,
% 2.45/2.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82))),
% 2.45/2.34 inference(transitivity,[status(thm)],[12628, 12386])).
% 2.45/2.34 tff(12630,plain,
% 2.45/2.34 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82)) | trans(s99, s83))),
% 2.45/2.35 inference(monotonicity,[status(thm)],[12629])).
% 2.45/2.35 tff(12631,plain,
% 2.45/2.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83))),
% 2.45/2.35 inference(transitivity,[status(thm)],[12630, 12385])).
% 2.45/2.35 tff(12632,plain,
% 2.45/2.35 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83)) | trans(s99, s84))),
% 2.45/2.36 inference(monotonicity,[status(thm)],[12631])).
% 2.45/2.36 tff(12633,plain,
% 2.45/2.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84))),
% 2.45/2.36 inference(transitivity,[status(thm)],[12632, 12384])).
% 2.45/2.36 tff(12634,plain,
% 2.45/2.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84)) | trans(s99, s85))),
% 2.45/2.36 inference(monotonicity,[status(thm)],[12633])).
% 2.45/2.36 tff(12635,plain,
% 2.45/2.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85))),
% 2.45/2.36 inference(transitivity,[status(thm)],[12634, 12383])).
% 2.45/2.36 tff(12636,plain,
% 2.45/2.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85)) | trans(s99, s86))),
% 2.45/2.37 inference(monotonicity,[status(thm)],[12635])).
% 2.45/2.37 tff(12637,plain,
% 2.45/2.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86))),
% 2.54/2.37 inference(transitivity,[status(thm)],[12636, 12382])).
% 2.54/2.37 tff(12638,plain,
% 2.54/2.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86)) | trans(s99, s87))),
% 2.54/2.37 inference(monotonicity,[status(thm)],[12637])).
% 2.54/2.37 tff(12639,plain,
% 2.54/2.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87))),
% 2.54/2.37 inference(transitivity,[status(thm)],[12638, 12381])).
% 2.54/2.37 tff(12640,plain,
% 2.54/2.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87)) | trans(s99, s88))),
% 2.54/2.38 inference(monotonicity,[status(thm)],[12639])).
% 2.54/2.38 tff(12641,plain,
% 2.54/2.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88))),
% 2.54/2.38 inference(transitivity,[status(thm)],[12640, 12380])).
% 2.54/2.38 tff(12642,plain,
% 2.54/2.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88)) | trans(s99, s89))),
% 2.54/2.38 inference(monotonicity,[status(thm)],[12641])).
% 2.54/2.38 tff(12643,plain,
% 2.54/2.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89))),
% 2.54/2.39 inference(transitivity,[status(thm)],[12642, 12379])).
% 2.54/2.39 tff(12644,plain,
% 2.54/2.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89)) | trans(s99, s90))),
% 2.54/2.39 inference(monotonicity,[status(thm)],[12643])).
% 2.54/2.39 tff(12645,plain,
% 2.54/2.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90))),
% 2.54/2.39 inference(transitivity,[status(thm)],[12644, 12378])).
% 2.54/2.39 tff(12646,plain,
% 2.54/2.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90)) | trans(s99, s91))),
% 2.54/2.39 inference(monotonicity,[status(thm)],[12645])).
% 2.54/2.39 tff(12647,plain,
% 2.54/2.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91))),
% 2.57/2.40 inference(transitivity,[status(thm)],[12646, 12377])).
% 2.57/2.40 tff(12648,plain,
% 2.57/2.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91)) | trans(s99, s92))),
% 2.57/2.40 inference(monotonicity,[status(thm)],[12647])).
% 2.57/2.40 tff(12649,plain,
% 2.57/2.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92))),
% 2.57/2.40 inference(transitivity,[status(thm)],[12648, 12376])).
% 2.57/2.40 tff(12650,plain,
% 2.57/2.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92)) | trans(s99, s93))),
% 2.57/2.41 inference(monotonicity,[status(thm)],[12649])).
% 2.57/2.41 tff(12651,plain,
% 2.57/2.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93))),
% 2.57/2.41 inference(transitivity,[status(thm)],[12650, 12375])).
% 2.57/2.41 tff(12652,plain,
% 2.57/2.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93)) | trans(s99, s94))),
% 2.57/2.41 inference(monotonicity,[status(thm)],[12651])).
% 2.57/2.41 tff(12653,plain,
% 2.57/2.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94))),
% 2.57/2.42 inference(transitivity,[status(thm)],[12652, 12374])).
% 2.57/2.42 tff(12654,plain,
% 2.57/2.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94)) | trans(s99, s95))),
% 2.57/2.42 inference(monotonicity,[status(thm)],[12653])).
% 2.57/2.42 tff(12655,plain,
% 2.57/2.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95))),
% 2.57/2.42 inference(transitivity,[status(thm)],[12654, 12373])).
% 2.57/2.42 tff(12656,plain,
% 2.57/2.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95)) | trans(s99, s96))),
% 2.57/2.42 inference(monotonicity,[status(thm)],[12655])).
% 2.57/2.42 tff(12657,plain,
% 2.57/2.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96))),
% 2.60/2.43 inference(transitivity,[status(thm)],[12656, 12372])).
% 2.60/2.43 tff(12658,plain,
% 2.60/2.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96)) | trans(s99, s97))),
% 2.60/2.43 inference(monotonicity,[status(thm)],[12657])).
% 2.60/2.43 tff(12659,plain,
% 2.60/2.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97))),
% 2.60/2.43 inference(transitivity,[status(thm)],[12658, 12371])).
% 2.60/2.43 tff(12660,plain,
% 2.60/2.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97)) | trans(s99, s98))),
% 2.60/2.44 inference(monotonicity,[status(thm)],[12659])).
% 2.60/2.44 tff(12661,plain,
% 2.60/2.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98))),
% 2.60/2.44 inference(transitivity,[status(thm)],[12660, 12370])).
% 2.60/2.44 tff(12662,plain,
% 2.60/2.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) | trans(s99, s99)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)) | trans(s99, s99))),
% 2.60/2.44 inference(monotonicity,[status(thm)],[12661])).
% 2.60/2.44 tff(12663,plain,
% 2.60/2.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) | trans(s99, s99)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99))),
% 2.60/2.45 inference(transitivity,[status(thm)],[12662, 12369])).
% 2.60/2.45 tff(12664,axiom,(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) | trans(s99, s99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound102')).
% 2.60/2.45 tff(12665,plain,
% 2.60/2.45 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.45 inference(modus_ponens,[status(thm)],[12664, 12663])).
% 2.60/2.45 tff(12666,plain,
% 2.60/2.45 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.45 inference(modus_ponens,[status(thm)],[12665, 12368])).
% 2.60/2.45 tff(12667,plain,
% 2.60/2.45 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.45 inference(modus_ponens,[status(thm)],[12666, 12368])).
% 2.60/2.45 tff(12668,plain,
% 2.60/2.45 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.45 inference(modus_ponens,[status(thm)],[12667, 12368])).
% 2.60/2.45 tff(12669,plain,
% 2.60/2.45 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.46 inference(modus_ponens,[status(thm)],[12668, 12368])).
% 2.60/2.46 tff(12670,plain,
% 2.60/2.46 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.46 inference(modus_ponens,[status(thm)],[12669, 12368])).
% 2.60/2.46 tff(12671,plain,
% 2.60/2.46 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.46 inference(modus_ponens,[status(thm)],[12670, 12368])).
% 2.60/2.46 tff(12672,plain,
% 2.60/2.46 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.46 inference(modus_ponens,[status(thm)],[12671, 12368])).
% 2.60/2.46 tff(12673,plain,
% 2.60/2.46 (trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 2.60/2.46 inference(unit_resolution,[status(thm)],[12672, 12367])).
% 2.60/2.46 tff(12674,plain,
% 2.60/2.46 (trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s19) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)),
% 2.60/2.46 inference(unit_resolution,[status(thm)],[12673, 12352, 12333, 12324, 12315])).
% 2.60/2.46 tff(12675,plain,
% 2.60/2.46 (trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s17) | trans(s99, s19) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)),
% 2.60/2.46 inference(unit_resolution,[status(thm)],[12674, 12306, 12297, 12288, 12279, 12270])).
% 2.60/2.46 tff(12676,plain,
% 2.60/2.47 (trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s19) | trans(s99, s21) | trans(s99, s22) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12675, 12261, 12252, 12243, 12234, 12225])).
% 2.60/2.47 tff(12677,plain,
% 2.60/2.47 (trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s21) | trans(s99, s22) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s52) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s81) | trans(s99, s82) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12676, 12216, 12207, 12198, 12189, 12180])).
% 2.60/2.47 tff(12678,plain,
% 2.60/2.47 (trans(s99, s2) | trans(s99, s4) | trans(s99, s6) | trans(s99, s8) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s21) | trans(s99, s22) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s52) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s81) | trans(s99, s82) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s97) | trans(s99, s98)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12677, 12171, 12162, 12153, 12144, 12135])).
% 2.60/2.47 tff(12679,plain,
% 2.60/2.47 (trans(s99, s2) | trans(s99, s4) | trans(s99, s6) | trans(s99, s8) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s21) | trans(s99, s22) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s52) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s79) | trans(s99, s81) | trans(s99, s82) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12678, 12116, 12107, 12098, 12089, 12080])).
% 2.60/2.47 tff(12680,plain,
% 2.60/2.47 (trans(s99, s2) | trans(s99, s4) | trans(s99, s6) | trans(s99, s8) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s22) | trans(s99, s26) | trans(s99, s28) | trans(s99, s29) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s52) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s79) | trans(s99, s82) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12679, 12071, 12062, 12053, 12044, 12035, 12026])).
% 2.60/2.47 tff(12681,plain,
% 2.60/2.47 (trans(s99, s2) | trans(s99, s4) | trans(s99, s6) | trans(s99, s8) | trans(s99, s10) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s22) | trans(s99, s26) | trans(s99, s28) | trans(s99, s29) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s52) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s63) | trans(s99, s64) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s82) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12680, 12017, 12008, 11999, 11990, 11981, 11972])).
% 2.60/2.47 tff(12682,plain,
% 2.60/2.47 (trans(s99, s2) | trans(s99, s4) | trans(s99, s8) | trans(s99, s10) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s22) | trans(s99, s26) | trans(s99, s28) | trans(s99, s29) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s40) | trans(s99, s41) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s52) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s64) | trans(s99, s68) | trans(s99, s69) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12681, 11963, 11954, 11945, 11936, 11927, 11918])).
% 2.60/2.47 tff(12683,plain,
% 2.60/2.47 (trans(s99, s2) | trans(s99, s4) | trans(s99, s8) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s22) | trans(s99, s26) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s40) | trans(s99, s41) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s64) | trans(s99, s68) | trans(s99, s69) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s86) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12682, 11909, 11900, 11891, 11882, 11873, 11864, 11855])).
% 2.60/2.47 tff(12684,plain,
% 2.60/2.47 (trans(s99, s2) | trans(s99, s4) | trans(s99, s8) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s22) | trans(s99, s26) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s43) | trans(s99, s45) | trans(s99, s46) | trans(s99, s48) | trans(s99, s50) | trans(s99, s54) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s64) | trans(s99, s68) | trans(s99, s69) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s88) | trans(s99, s89) | trans(s99, s91) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12683, 11846, 11837, 11828, 11819, 11810, 11801, 11792, 11783])).
% 2.60/2.47 tff(12685,plain,
% 2.60/2.47 (trans(s99, s4) | trans(s99, s8) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s22) | trans(s99, s26) | trans(s99, s33) | trans(s99, s34) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s43) | trans(s99, s46) | trans(s99, s48) | trans(s99, s50) | trans(s99, s54) | trans(s99, s58) | trans(s99, s69) | trans(s99, s72) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s88) | trans(s99, s89) | trans(s99, s91) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.47 inference(unit_resolution,[status(thm)],[12684, 11774, 11765, 11756, 11727, 11718, 11709, 11700, 11691, 11682, 11673])).
% 2.60/2.47 tff(12686,plain,
% 2.60/2.47 (trans(s99, s4) | trans(s99, s8) | trans(s99, s13) | trans(s99, s14) | trans(s99, s22) | trans(s99, s38) | trans(s99, s43) | trans(s99, s50) | trans(s99, s58) | trans(s99, s69) | trans(s99, s76) | trans(s99, s89) | trans(s99, s94) | trans(s99, s97)),
% 2.60/2.49 inference(unit_resolution,[status(thm)],[12685, 11664, 11655, 11646, 11637, 11628, 11619, 11610, 11601, 11592, 11583, 11574, 11565, 11556, 11547])).
% 2.60/2.49 tff(12687,plain,
% 2.60/2.49 (trans(s99, s13)),
% 2.60/2.49 inference(unit_resolution,[status(thm)],[12686, 11538, 11529, 11520, 11511, 11502, 11493, 11484, 11475, 11466, 11457, 11448, 11439, 11430])).
% 2.60/2.49 tff(12688,plain,
% 2.60/2.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s13) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s13) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s13)))),
% 2.60/2.49 inference(rewrite,[status(thm)],[])).
% 2.60/2.49 tff(12689,plain,
% 2.60/2.49 (((~trans(s99, s13)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s13)) <=> (until2p23(s13) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s13)))),
% 2.60/2.49 inference(rewrite,[status(thm)],[])).
% 2.60/2.49 tff(12690,plain,
% 2.60/2.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s13)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | (until2p23(s13) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s13))))),
% 2.60/2.49 inference(monotonicity,[status(thm)],[12689])).
% 2.60/2.49 tff(12691,plain,
% 2.60/2.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s13)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s13) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s13)))),
% 2.60/2.49 inference(transitivity,[status(thm)],[12690, 12688])).
% 2.60/2.49 tff(12692,plain,
% 2.60/2.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | ((~trans(s99, s13)) | (~last(s99)) | (~xuntil22(s99)) | until2p23(s13))),
% 2.60/2.49 inference(quant_inst,[status(thm)],[])).
% 2.60/2.49 tff(12693,plain,
% 2.60/2.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil22(X)) | until2p23(Y))) | until2p23(s13) | (~last(s99)) | (~xuntil22(s99)) | (~trans(s99, s13))),
% 2.60/2.49 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 2.60/2.49 tff(12694,plain,
% 2.60/2.49 ($false),
% 2.60/2.49 inference(unit_resolution,[status(thm)],[12693, 10432, 12687, 11331, 11321, 10422])).
% 2.60/2.49 % SZS output end Proof
%------------------------------------------------------------------------------